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41997877879914 = 232112311313198091
BaseRepresentation
bin10011000110010011001001…
…00101111010010001101010
312111200221212022121222210100
421203021210211322101222
521001043123214124124
6225153320404530230
711563150364605545
oct1143114445722152
9174627768558710
1041997877879914
11124222221a9700
1248635783b0976
131a584c9297878
14a529cb1a185c
154cc6db7631c9
hex26326497a46a

41997877879914 has 144 divisors (see below), whose sum is σ = 100662433889472. Its totient is φ = 12645114768000.

The previous prime is 41997877879823. The next prime is 41997877879933.

41997877879914 is a `hidden beast` number, since 419 + 97 + 8 + 7 + 7 + 8 + 7 + 99 + 14 = 666.

41997877879914 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 211914009 + ... + 212112099.

It is an arithmetic number, because the mean of its divisors is an integer number (699044679788).

Almost surely, 241997877879914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41997877879914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50331216944736).

41997877879914 is an abundant number, since it is smaller than the sum of its proper divisors (58664556009558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41997877879914 is a wasteful number, since it uses less digits than its factorization.

41997877879914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198745 (or 198731 counting only the distinct ones).

The product of its digits is 16131032064, while the sum is 90.

The spelling of 41997877879914 in words is "forty-one trillion, nine hundred ninety-seven billion, eight hundred seventy-seven million, eight hundred seventy-nine thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 311 313 363 622 626 726 933 939 1089 1866 1878 2178 2799 2817 3421 3443 5598 5634 6842 6886 10263 10329 20526 20658 30789 30987 37631 37873 61578 61974 75262 75746 97343 112893 113619 194686 198091 225786 227238 292029 338679 340857 396182 584058 594273 677358 681714 876087 1070773 1188546 1752174 1782819 2141546 2179001 3212319 3565638 4358002 6424638 6537003 9636957 11778503 13074006 19273914 19611009 23557006 23969011 35335509 39222018 47938022 61606301 62002483 70671018 71907033 106006527 123212602 124004966 143814066 184818903 186007449 212013054 215721099 369637806 372014898 431442198 554456709 558022347 677669311 682027313 1108913418 1116044694 1355338622 1364054626 2033007933 2046081939 4066015866 4092163878 6099023799 6138245817 7454362421 7502300443 12198047598 12276491634 14908724842 15004600886 19282772213 22363087263 22506901329 38565544426 44726174526 45013802658 57848316639 67089261789 67520703987 115696633278 134178523578 135041407974 173544949917 212110494343 347089899834 424220988686 636331483029 1272662966058 1908994449087 2333215437773 3817988898174 4666430875546 6999646313319 13999292626638 20998938939957 41997877879914