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715140270144 = 2634137951441
BaseRepresentation
bin10100110100000011010…
…11101000100001000000
32112100220100120210220000
422122001223220201000
543204101402121034
61304310401520000
7102444561666546
oct12320153504100
92470810523800
10715140270144
11256320047753
12b6723043000
135258c089281
1426881dddd96
1513908378599
hexa681ae8840

715140270144 has 70 divisors (see below), whose sum is σ = 2119899809214. Its totient is φ = 238380088320.

The previous prime is 715140270127. The next prime is 715140270179. The reversal of 715140270144 is 441072041517.

715140270144 is a `hidden beast` number, since 71 + 514 + 0 + 2 + 70 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 392016236544 + 323124033600 = 626112^2 + 568440^2 .

It is a super-2 number, since 2×7151402701442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 715140270099 and 715140270108.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 68970537 + ... + 68980904.

Almost surely, 2715140270144 is an apocalyptic number.

It is an amenable number.

715140270144 is an abundant number, since it is smaller than the sum of its proper divisors (1404759539070).

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

715140270144 is a wasteful number, since it uses less digits than its factorization.

715140270144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137951465 (or 137951446 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 715140270144 in words is "seven hundred fifteen billion, one hundred forty million, two hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 137951441 275902882 413854323 551805764 827708646 1103611528 1241562969 1655417292 2207223056 2483125938 3310834584 3724688907 4414446112 4966251876 6621669168 7449377814 8828892224 9932503752 11174066721 13243338336 14898755628 19865007504 22348133442 26486676672 29797511256 39730015008 44696266884 59595022512 79460030016 89392533768 119190045024 178785067536 238380090048 357570135072 715140270144