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13084270416144 = 2432194782262579
BaseRepresentation
bin1011111001100110101101…
…0010100101000100010000
31201022211210022011012221100
42332121223102211010100
53203333041211304034
643454455244024400
72520210263333004
oct276315322450420
951284708135840
1013084270416144
11419500a5a8714
12157399b832100
1373bac2751c95
143333d3dc6704
1517a5429e4099
hexbe66b4a5110

13084270416144 has 60 divisors (see below), whose sum is σ = 38545036394800. Its totient is φ = 4131874867392.

The previous prime is 13084270416137. The next prime is 13084270416157. The reversal of 13084270416144 is 44161407248031.

13084270416144 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 4 + 27 + 0 + 4 + 1 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13084270416144.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2391128554 + ... + 2391134025.

Almost surely, 213084270416144 is an apocalyptic number.

It is an amenable number.

13084270416144 is an abundant number, since it is smaller than the sum of its proper divisors (25460765978656).

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

13084270416144 is a wasteful number, since it uses less digits than its factorization.

13084270416144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782262612 (or 4782262603 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 13084270416144 in words is "thirteen trillion, eighty-four billion, two hundred seventy million, four hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 4782262579 9564525158 14346787737 19129050316 28693575474 38258100632 43040363211 57387150948 76516201264 86080726422 90862989001 114774301896 172161452844 181725978002 229548603792 272588967003 344322905688 363451956004 545177934006 688645811376 726903912008 817766901009 1090355868012 1453807824016 1635533802018 2180711736024 3271067604036 4361423472048 6542135208072 13084270416144