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10444131012 = 2237314010803
BaseRepresentation
bin10011011101000010…
…01100101011000100
3222221212110211100010
421232201030223010
5132342144143022
64444205550220
7516546435360
oct115641145304
928855424303
1010444131012
11447a492237
122035875370
13ca5a109a3
147111342a0
15411d8c50c
hex26e84cac4

10444131012 has 48 divisors (see below), whose sum is σ = 28749443072. Its totient is φ = 2887777440.

The previous prime is 10444130993. The next prime is 10444131037. The reversal of 10444131012 is 21013144401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10444131012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2002798 + ... + 2008005.

Almost surely, 210444131012 is an apocalyptic number.

10444131012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10444131012 is an abundant number, since it is smaller than the sum of its proper divisors (18305312060).

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

10444131012 is a wasteful number, since it uses less digits than its factorization.

10444131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010848 (or 4010846 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10444131012 its reverse (21013144401), we get a palindrome (31457275413).

The spelling of 10444131012 in words is "ten billion, four hundred forty-four million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 4010803 8021606 12032409 16043212 24064818 28075621 48129636 56151242 84226863 112302484 124334893 168453726 248669786 336907452 373004679 497339572 746009358 870344251 1492018716 1740688502 2611032753 3481377004 5222065506 10444131012