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10444030512 = 24317120110657
BaseRepresentation
bin10011011101000001…
…10100001000110000
3222221212021201110220
421232200310020300
5132342132434022
64444203453040
7516545536356
oct115640641060
928855251426
1010444030512
11447a423783
122035827180
13ca59a7016
147111097d6
15411d6c85c
hex26e834230

10444030512 has 80 divisors (see below), whose sum is σ = 28593964512. Its totient is φ = 3273523200.

The previous prime is 10444030511. The next prime is 10444030559. The reversal of 10444030512 is 21503044401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10444030511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974688 + ... + 985344.

Almost surely, 210444030512 is an apocalyptic number.

10444030512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10444030512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14296982256).

10444030512 is an abundant number, since it is smaller than the sum of its proper divisors (18149934000).

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

10444030512 is a wasteful number, since it uses less digits than its factorization.

10444030512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11886 (or 11880 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10444030512 its reverse (21503044401), we get a palindrome (31947074913).

The spelling of 10444030512 in words is "ten billion, four hundred forty-four million, thirty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1201 2402 3603 4804 7206 9608 10657 14412 19216 20417 21314 28824 31971 40834 42628 57648 61251 63942 81668 85256 122502 127884 163336 170512 181169 245004 255768 326672 362338 490008 511536 543507 724676 980016 1087014 1449352 2174028 2898704 4348056 8696112 12799057 25598114 38397171 51196228 76794342 102392456 153588684 204784912 217583969 307177368 435167938 614354736 652751907 870335876 1305503814 1740671752 2611007628 3481343504 5222015256 10444030512