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31420040418 = 23213891508693
BaseRepresentation
bin11101010000110001…
…111100010011100010
310000002201100102121200
4131100301330103202
51003322012243133
622233440302030
72161421636244
oct352061742342
9100081312550
1031420040418
1112363880458
12610a611916
132c6963c4c0
141740c96094
15c3d62b913
hex750c7c4e2

31420040418 has 48 divisors (see below), whose sum is σ = 74137223160. Its totient is φ = 9559072512.

The previous prime is 31420040417. The next prime is 31420040419. The reversal of 31420040418 is 81404002413.

31420040418 is a `hidden beast` number, since 3 + 1 + 4 + 200 + 40 + 418 = 666.

It is an interprime number because it is at equal distance from previous prime (31420040417) and next prime (31420040419).

It can be written as a sum of positive squares in 4 ways, for example, as 7428198969 + 23991841449 = 86187^2 + 154893^2 .

It is a super-2 number, since 2×314200404182 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31420040391 and 31420040400.

It is not an unprimeable number, because it can be changed into a prime (31420040413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 733521 + ... + 775172.

Almost surely, 231420040418 is an apocalyptic number.

31420040418 is an abundant number, since it is smaller than the sum of its proper divisors (42717182742).

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

31420040418 is a wasteful number, since it uses less digits than its factorization.

31420040418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508803 (or 1508800 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 31420040418 in words is "thirty-one billion, four hundred twenty million, forty thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 178 234 267 534 801 1157 1602 2314 3471 6942 10413 20826 1508693 3017386 4526079 9052158 13578237 19613009 27156474 39226018 58839027 117678054 134273677 176517081 268547354 353034162 402821031 805642062 1208463093 1745557801 2416926186 3491115602 5236673403 10473346806 15710020209 31420040418