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13105644144 = 243379720407
BaseRepresentation
bin11000011010010100…
…00100001001110000
31020211100120200222120
430031022010021300
5203320021103034
610004243234240
7642525065025
oct141512041160
936740520876
1013105644144
11561588146a
122659078980
13130b240528
148c47c954c
1551a86dc49
hex30d284270

13105644144 has 40 divisors (see below), whose sum is σ = 33945624960. Its totient is φ = 4357015488.

The previous prime is 13105644067. The next prime is 13105644197. The reversal of 13105644144 is 44144650131.

It is a super-2 number, since 2×131056441442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342012 + ... + 378395.

It is an arithmetic number, because the mean of its divisors is an integer number (848640624).

Almost surely, 213105644144 is an apocalyptic number.

It is an amenable number.

13105644144 is an abundant number, since it is smaller than the sum of its proper divisors (20839980816).

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

13105644144 is a wasteful number, since it uses less digits than its factorization.

13105644144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720797 (or 720791 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 13105644144 in words is "thirteen billion, one hundred five million, six hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 379 758 1137 1516 2274 3032 4548 6064 9096 18192 720407 1440814 2161221 2881628 4322442 5763256 8644884 11526512 17289768 34579536 273034253 546068506 819102759 1092137012 1638205518 2184274024 3276411036 4368548048 6552822072 13105644144