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40339014971931 = 33131733732036263
BaseRepresentation
bin10010010110000001010001…
…01010000111001000011011
312021211101001022101222002000
421023000220222013020123
520241403300313100211
6221443253155412043
711332253252544054
oct1113005052071033
9167741038358060
1040339014971931
1111942753352225
124635b7a5b4023
131967c50381380
149d65c105772b
1549e49c68c656
hex24b028a8721b

40339014971931 has 128 divisors (see below), whose sum is σ = 68378802186240. Its totient is φ = 23283453763584.

The previous prime is 40339014971929. The next prime is 40339014971939. The reversal of 40339014971931 is 13917941093304.

40339014971931 is a `hidden beast` number, since 4 + 0 + 33 + 90 + 1 + 497 + 1 + 9 + 31 = 666.

It is not a de Polignac number, because 40339014971931 - 21 = 40339014971929 is a prime.

It is a super-2 number, since 2×403390149719312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40339014971939) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6440842306 + ... + 6440848568.

It is an arithmetic number, because the mean of its divisors is an integer number (534209392080).

Almost surely, 240339014971931 is an apocalyptic number.

40339014971931 is a deficient number, since it is larger than the sum of its proper divisors (28039787214309).

40339014971931 is a wasteful number, since it uses less digits than its factorization.

40339014971931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9842 (or 9836 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 40339014971931 in words is "forty trillion, three hundred thirty-nine billion, fourteen million, nine hundred seventy-one thousand, nine hundred thirty-one".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 337 351 459 663 1011 1989 3033 3203 4381 5729 5967 6263 9099 9609 13143 17187 18789 28827 39429 41639 51561 54451 56367 74477 81419 86481 106471 118287 124917 154683 163353 169101 223431 244257 319413 374751 490059 670293 707863 732771 958239 1079411 1124253 1384123 1470177 2010879 2110631 2123589 2198313 2874717 3238233 4152369 6331893 6370767 9714699 12457107 14032343 18349987 18995679 19112301 20060389 27438203 29144097 35880727 37371321 42097029 55049961 56987037 60181167 82314609 107642181 126291087 165149883 180543501 238549831 246943827 260785057 322926543 341026613 378873261 466449451 495449649 541630503 715649493 740831481 782355171 968779629 1023079839 1399348353 2146948479 2347065513 3069239517 4198045059 4433345969 6440845437 6760351093 7041196539 9207718551 12594135177 13300037907 20281053279 39900113721 60843159837 87884564209 114925968581 119700341163 182529479511 263653692627 344777905743 790961077881 1034333717229 1494037591553 2372883233643 3103001151687 4482112774659 13446338323977 40339014971931