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31541414444514 = 23313106142347587
BaseRepresentation
bin1110010101111110011101…
…10011011011110111100010
311010200022220101220122211000
413022333032303123313202
513113233304044211024
6151025531544132430
76433535440111422
oct712771663336742
9133608811818730
1031541414444514
11a060703197597
123654b2ba67116
13147a45b973410
147b0880db6482
1539a6e7e04cc9
hex1cafcecdbde2

31541414444514 has 64 divisors (see below), whose sum is σ = 75554872606080. Its totient is φ = 9695903290560.

The previous prime is 31541414444467. The next prime is 31541414444543. The reversal of 31541414444514 is 41544441414513.

31541414444514 is a `hidden beast` number, since 3 + 1 + 5 + 414 + 144 + 44 + 51 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31541414444514.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20428972 + ... + 21918615.

It is an arithmetic number, because the mean of its divisors is an integer number (1180544884470).

Almost surely, 231541414444514 is an apocalyptic number.

31541414444514 is an abundant number, since it is smaller than the sum of its proper divisors (44013458161566).

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

31541414444514 is a wasteful number, since it uses less digits than its factorization.

31541414444514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42348672 (or 42348666 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The spelling of 31541414444514 in words is "thirty-one trillion, five hundred forty-one billion, four hundred fourteen million, four hundred forty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1061 2122 3183 6366 9549 13793 19098 27586 28647 41379 57294 82758 124137 248274 372411 744822 42347587 84695174 127042761 254085522 381128283 550518631 762256566 1101037262 1143384849 1651555893 2286769698 3303111786 4954667679 9909335358 14864003037 29728006074 44930789807 89861579614 134792369421 269584738842 404377108263 584100267491 808754216526 1168200534982 1213131324789 1752300802473 2426262649578 3504601604946 5256902407419 10513804814838 15770707222257 31541414444514