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10444020431 = 1317211532411
BaseRepresentation
bin10011011101000001…
…10001101011001111
3222221212021012122112
421232200301223033
5132342132123211
64444203334235
7516545465105
oct115640615317
928855235575
1010444020431
11447a417149
12203582137b
13ca59a2560
14711105c75
15411d6988b
hex26e831acf

10444020431 has 24 divisors (see below), whose sum is σ = 11963259504. Its totient is φ = 9061908480.

The previous prime is 10444020427. The next prime is 10444020467. The reversal of 10444020431 is 13402044401.

It is a happy number.

It is not a de Polignac number, because 10444020431 - 22 = 10444020427 is a prime.

It is a super-2 number, since 2×104440204312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10444020397 and 10444020406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444020421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4330616 + ... + 4333026.

It is an arithmetic number, because the mean of its divisors is an integer number (498469146).

Almost surely, 210444020431 is an apocalyptic number.

10444020431 is a deficient number, since it is larger than the sum of its proper divisors (1519239073).

10444020431 is a wasteful number, since it uses less digits than its factorization.

10444020431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10444020431 its reverse (13402044401), we get a palindrome (23846064832).

The spelling of 10444020431 in words is "ten billion, four hundred forty-four million, twenty thousand, four hundred thirty-one".

Divisors: 1 13 17 221 289 1153 2411 3757 14989 19601 31343 40987 254813 333217 532831 696779 2779883 4331821 9058127 36138479 47258011 614354143 803386187 10444020431