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4044100431 = 37297193529
BaseRepresentation
bin1111000100001100…
…0001001101001111
3101102211200120212110
43301003001031033
531240242203211
61505143035103
7202134200160
oct36103011517
911384616773
104044100431
111795875568
1294a43ba93
134c5ac2747
142a5153767
1518a086ea6
hexf10c134f

4044100431 has 32 divisors (see below), whose sum is σ = 6464793600. Its totient is φ = 2199778560.

The previous prime is 4044100399. The next prime is 4044100439. The reversal of 4044100431 is 1340014404.

It is not a de Polignac number, because 4044100431 - 25 = 4044100399 is a prime.

It is a super-2 number, since 2×40441004312 = 32709496592028771522, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4044100398 and 4044100407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4044100439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3526 + ... + 90003.

It is an arithmetic number, because the mean of its divisors is an integer number (202024800).

Almost surely, 24044100431 is an apocalyptic number.

4044100431 is a deficient number, since it is larger than the sum of its proper divisors (2420693169).

4044100431 is a wasteful number, since it uses less digits than its factorization.

4044100431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93639.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4044100431 is about 63593.2420230326. The cubic root of 4044100431 is about 1593.2134989453.

Adding to 4044100431 its reverse (1340014404), we get a palindrome (5384114835).

The spelling of 4044100431 in words is "four billion, forty-four million, one hundred thousand, four hundred thirty-one".

Divisors: 1 3 7 21 29 71 87 203 213 497 609 1491 2059 6177 14413 43239 93529 280587 654703 1964109 2712341 6640559 8137023 18986387 19921677 46483913 56959161 139451739 192576211 577728633 1348033477 4044100431