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40990996532928 = 2631389184524437
BaseRepresentation
bin10010101000111111101011…
…10010011000111011000000
312101010200221000201220212010
421110133311302120323000
520333044030103023203
6223103000455132520
711430334051431441
oct1124376562307300
9171120830656763
1040990996532928
1112074202a00992
1247203b5974140
1319b458546aba0
14a19d90c872c8
154b140ad1e303
hex2547f5c98ec0

40990996532928 has 112 divisors (see below), whose sum is σ = 118110402275040. Its totient is φ = 12470899482624.

The previous prime is 40990996532897. The next prime is 40990996532947. The reversal of 40990996532928 is 82923569909904.

It is a happy number.

40990996532928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40990996532928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92040075 + ... + 92484362.

It is an arithmetic number, because the mean of its divisors is an integer number (1054557163170).

Almost surely, 240990996532928 is an apocalyptic number.

40990996532928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40990996532928 is an abundant number, since it is smaller than the sum of its proper divisors (77119405742112).

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

40990996532928 is a wasteful number, since it uses less digits than its factorization.

40990996532928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184524554 (or 184524544 counting only the distinct ones).

The product of its (nonzero) digits is 680244480, while the sum is 75.

The spelling of 40990996532928 in words is "forty trillion, nine hundred ninety billion, nine hundred ninety-six million, five hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 89 96 104 156 178 192 208 267 312 356 416 534 624 712 832 1068 1157 1248 1424 2136 2314 2496 2848 3471 4272 4628 5696 6942 8544 9256 13884 17088 18512 27768 37024 55536 74048 111072 222144 184524437 369048874 553573311 738097748 1107146622 1476195496 2214293244 2398817681 2952390992 4428586488 4797635362 5904781984 7196453043 8857172976 9595270724 11809563968 14392906086 16422674893 17714345952 19190541448 28785812172 32845349786 35428691904 38381082896 49268024679 57571624344 65690699572 76762165792 98536049358 115143248688 131381399144 153524331584 197072098716 213494773609 230286497376 262762798288 394144197432 426989547218 460572994752 525525596576 640484320827 788288394864 853979094436 1051051193152 1280968641654 1576576789728 1707958188872 2561937283308 3153153579456 3415916377744 5123874566616 6831832755488 10247749133232 13663665510976 20495498266464 40990996532928