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40134377760456 = 2337409584095613
BaseRepresentation
bin10010010000000100000110…
…10101000110011011001000
312021002210211210101112022110
421020002003111012123020
520230030201201313311
6221205251214022320
711311420203132060
oct1110020325063310
9167083753345273
1040134377760456
1111873991a43451
124602389aa79a0
13195186a4166a5
149ca72b1503a0
15498ec20748a6
hex2480835466c8

40134377760456 has 64 divisors (see below), whose sum is σ = 114950016835200. Its totient is φ = 11438928465408.

The previous prime is 40134377760401. The next prime is 40134377760469. The reversal of 40134377760456 is 65406777343104.

It is a super-2 number, since 2×401343777604562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40134377760396 and 40134377760405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291979095 + ... + 292116518.

It is an arithmetic number, because the mean of its divisors is an integer number (1796094013050).

Almost surely, 240134377760456 is an apocalyptic number.

It is an amenable number.

40134377760456 is an abundant number, since it is smaller than the sum of its proper divisors (74815639074744).

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

40134377760456 is a wasteful number, since it uses less digits than its factorization.

40134377760456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584096038 (or 584096034 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 57.

The spelling of 40134377760456 in words is "forty trillion, one hundred thirty-four billion, three hundred seventy-seven million, seven hundred sixty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 409 818 1227 1636 2454 2863 3272 4908 5726 8589 9816 11452 17178 22904 34356 68712 584095613 1168191226 1752286839 2336382452 3504573678 4088669291 4672764904 7009147356 8177338582 12266007873 14018294712 16354677164 24532015746 32709354328 49064031492 98128062984 238895105717 477790211434 716685317151 955580422868 1433370634302 1672265740019 1911160845736 2866741268604 3344531480038 5016797220057 5733482537208 6689062960076 10033594440114 13378125920152 20067188880228 40134377760456