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40320400131 = 33111743318443
BaseRepresentation
bin100101100011010010…
…000111101100000011
310212001222221112212000
4211203102013230003
51130034010301011
630304542035043
72625114513654
oct454322075403
9125058845760
1040320400131
11161108a6440
127993278a83
133a5757393b
141d46d7152b
1510aebc5356
hex963487b03

40320400131 has 64 divisors (see below), whose sum is σ = 69160573440. Its totient is φ = 22944798720.

The previous prime is 40320400129. The next prime is 40320400157. The reversal of 40320400131 is 13100402304.

It is not a de Polignac number, because 40320400131 - 21 = 40320400129 is a prime.

It is a super-2 number, since 2×403204001312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40320400331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2176996 + ... + 2195438.

It is an arithmetic number, because the mean of its divisors is an integer number (1080633960).

Almost surely, 240320400131 is an apocalyptic number.

40320400131 is a deficient number, since it is larger than the sum of its proper divisors (28840173309).

40320400131 is a wasteful number, since it uses less digits than its factorization.

40320400131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18913 (or 18907 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 40320400131 its reverse (13100402304), we get a palindrome (53420802435).

The spelling of 40320400131 in words is "forty billion, three hundred twenty million, four hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 433 459 561 1299 1683 3897 4763 5049 7361 11691 14289 18443 22083 42867 55329 66249 80971 128601 165987 198747 202873 242913 313531 497961 608619 728739 940593 1825857 2186217 2821779 3448841 5477571 7985819 8465337 10346523 23957457 31039569 71872371 87844009 93118707 135758923 215617113 263532027 407276769 790596081 1221830307 1493348153 2371788243 3665490921 4480044459 13440133377 40320400131