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131412332431404 = 22324078789497697
BaseRepresentation
bin11101111000010011010001…
…011001001100100000101100
3122020021220012101122111202100
4131320103101121030200230
5114211024424100301104
61143253554143255100
736452141050251153
oct3570232131144054
9566256171574670
10131412332431404
1138965725821792
12128a47102aa490
13584318c16823b
1424645685dc59a
15102d50a242139
hex7784d164c82c

131412332431404 has 36 divisors (see below), whose sum is σ = 332189321648184. Its totient is φ = 43803036348672.

The previous prime is 131412332431357. The next prime is 131412332431487. The reversal of 131412332431404 is 404134233214131.

131412332431404 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 2 + 3 + 3 + 243 + 1 + 404 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1314123324314042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43280517 + ... + 46217180.

It is an arithmetic number, because the mean of its divisors is an integer number (9227481156894).

Almost surely, 2131412332431404 is an apocalyptic number.

It is an amenable number.

131412332431404 is an abundant number, since it is smaller than the sum of its proper divisors (200776989216780).

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

131412332431404 is a wasteful number, since it uses less digits than its factorization.

131412332431404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89538494 (or 89538489 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 131412332431404 its reverse (404134233214131), we get a palindrome (535546565645535).

The spelling of 131412332431404 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-two million, four hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 40787 81574 122361 163148 244722 367083 489444 734166 1468332 89497697 178995394 268493091 357990788 536986182 805479273 1073972364 1610958546 3221917092 3650342567539 7300685135078 10951027702617 14601370270156 21902055405234 32853083107851 43804110810468 65706166215702 131412332431404