666! : ¿Sabe usted cuántas cifras tiene en su expansión decimal este número y cuántos ceros finales?

La respuesta es que la expansión decimal de este enorme número expresado en factorial (666!) es de 1594 dígitos y finaliza con 165 ceros.  1,010,632,056,840,781,493,390,822,708,129,876,451,757,582,398,324,145,411,340,420,807,357,413,802,
103,697,022,989,202,806,801,491,012,040,989,802,203,557,527,039,339,704,057,130,729,302,834,542,423,
840,165,856,428,740,661,530,297,972,410,682,828,699,397,176,884,342,513,509,493,787,480,774,903,493,
389,255,262,878,341,761,883,261,899,426,484,944,657,161,693,131,380,311,117,619,573,051,526,423,320,
389,641,805,410,816,067,607,893,067,483,259,816,815,364,609,828,668,662,748,110,385,603,657,973,284,
604,842,078,094,141,556,427,708,745,345,100,598,829,488,472,505,949,071,967,727,270,911,965,060,885,
209,294,340,665,506,480,226,426,083,357,901,503,097,781,140,832,497,013,738,079,112,777,615,719,116,
203,317,542,199,999,489,227,144,752,667,085,796,752,482,688,850,461,263,732,284,539,176,142,365,823,
973,696,764,537,603,278,769,322,286,708,855,475,069,835,681,643,710,846,140,569,769,330,065,775,414,
413,083,501,043,659,572,299,454,446,517,242,824,002,140,555,140,464,296,291,001,901,438,414,675,730,
552,964,914,569,269,734,038,500,764,140,551,143,642,836,128,613,304,734,147,348,086,095,123,859,660,
926,788,460,671,181,469,216,252,213,374,650,499,557,831,741,950,594,827,147,225,699,896,414,088,694,
251,261,045,196,672,567,495,532,228,826,719,381,606,116,974,003,112,642,111,561,332,573,503,212,960,
729,711,781,993,903,877,416,394,381,718,464,765,527,575,014,252,129,040,283,236,963,922,624,344,456,
975,024,058,167,368,431,809,068,544,577,258,472,983,979,437,818,072,648,213,608,650,098,749,369,761,
056,961,203,791,265,363,665,664,696,802,245,199,962,040,041,544,438,210,327,210,476,982,203,348,458,
596,093,079,296,569,561,267,409,473,914,124,132,102,055,811,493,736,199,668,788,534,872,321,705,360,
511,305,248,710,796,441,479,213,354,542,583,576,076,596,250,213,454,667,968,837,996,023,273,163,069,
094,700,429,467,106,663,925,419,581,193,136,339,860,545,658,673,623,955,231,932,399,404,809,404,108,
767,232,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000.

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