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130413053044032 = 26311373165545857
BaseRepresentation
bin11101101001110000100111…
…101100110110010101000000
3122002202100212220011222221220
4131221300213230312111000
5114043141413034402112
61141210532434115040
736320014012513443
oct3551604754662500
9562670786158856
10130413053044032
113860a957644820
1212762b0b71ba80
13579cb8a278005
14242c04db7765a
151012521dc098c
hex769c27b36540

130413053044032 has 112 divisors (see below), whose sum is σ = 377428663837632. Its totient is φ = 39413157396480.

The previous prime is 130413053044003. The next prime is 130413053044069. The reversal of 130413053044032 is 230440350314031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 130413053043984 and 130413053044002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81985153 + ... + 83560704.

Almost surely, 2130413053044032 is an apocalyptic number.

130413053044032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130413053044032 is an abundant number, since it is smaller than the sum of its proper divisors (247015610793600).

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

130413053044032 is a wasteful number, since it uses less digits than its factorization.

130413053044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165546256 (or 165546246 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 130413053044032 in words is "one hundred thirty trillion, four hundred thirteen billion, fifty-three million, forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 373 528 704 746 1056 1119 1492 2112 2238 2984 4103 4476 5968 8206 8952 11936 12309 16412 17904 23872 24618 32824 35808 49236 65648 71616 98472 131296 196944 262592 393888 787776 165545857 331091714 496637571 662183428 993275142 1324366856 1821004427 1986550284 2648733712 3642008854 3973100568 5297467424 5463013281 7284017708 7946201136 10594934848 10926026562 14568035416 15892402272 21852053124 29136070832 31784804544 43704106248 58272141664 61748604661 87408212496 116544283328 123497209322 174816424992 185245813983 246994418644 349632849984 370491627966 493988837288 679234651271 740983255932 987977674576 1358469302542 1481966511864 1975955349152 2037703953813 2716938605084 2963933023728 3951910698304 4075407907626 5433877210168 5927866047456 8150815815252 10867754420336 11855732094912 16301631630504 21735508840672 32603263261008 43471017681344 65206526522016 130413053044032