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115129491344 = 2472146848841
BaseRepresentation
bin110101100111001000…
…0001001111110010000
3102000011120110010122222
41223032100021332100
53341241122210334
6124520104320212
711214005346500
oct1531620117620
9360146403588
10115129491344
114490a66195a
121a390773068
13ab1a12689a
145802551a00
152edc5cbd2e
hex1ace409f90

115129491344 has 30 divisors (see below), whose sum is σ = 259481903814. Its totient is φ = 49341210240.

The previous prime is 115129491331. The next prime is 115129491517. The reversal of 115129491344 is 443194921511.

It can be written as a sum of positive squares in only one way, i.e., 106955161600 + 8174329744 = 327040^2 + 90412^2 .

It is a junction number, because it is equal to n+sod(n) for n = 115129491295 and 115129491304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73423637 + ... + 73425204.

Almost surely, 2115129491344 is an apocalyptic number.

115129491344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

115129491344 is an abundant number, since it is smaller than the sum of its proper divisors (144352412470).

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

115129491344 is a wasteful number, since it uses less digits than its factorization.

115129491344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146848863 (or 146848850 counting only the distinct ones).

The product of its digits is 155520, while the sum is 44.

The spelling of 115129491344 in words is "one hundred fifteen billion, one hundred twenty-nine million, four hundred ninety-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 146848841 293697682 587395364 1027941887 1174790728 2055883774 2349581456 4111767548 7195593209 8223535096 14391186418 16447070192 28782372836 57564745672 115129491344