Search a number
-
+
312012320304040 = 23537934136030263
BaseRepresentation
bin100011011110001100000011…
…1100001000110101110101000
31111220202002100001211222112121
41012330120013201012232220
5311344002212444212130
63023332251533121024
7122502101106402256
oct10674300741065650
91456662301758477
10312012320304040
1190464755738084
122abb20b2929174
1310513835415925
1457096967ad5d6
1526112531bed7a
hex11bc607846ba8

312012320304040 has 64 divisors (see below), whose sum is σ = 704086388323200. Its totient is φ = 124439135853312.

The previous prime is 312012320304023. The next prime is 312012320304067. The reversal of 312012320304040 is 40403023210213.

It is a junction number, because it is equal to n+sod(n) for n = 312012320303996 and 312012320304014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48725949 + ... + 54756211.

It is an arithmetic number, because the mean of its divisors is an integer number (11001349817550).

Almost surely, 2312012320304040 is an apocalyptic number.

It is an amenable number.

312012320304040 is an abundant number, since it is smaller than the sum of its proper divisors (392074068019160).

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

312012320304040 is a wasteful number, since it uses less digits than its factorization.

312012320304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6034066 (or 6034062 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 312012320304040 its reverse (40403023210213), we get a palindrome (352415343514253).

The spelling of 312012320304040 in words is "three hundred twelve trillion, twelve billion, three hundred twenty million, three hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 379 758 1516 1895 3032 3413 3790 6826 7580 13652 15160 17065 27304 34130 68260 136520 1293527 2587054 5174108 6030263 6467635 10348216 12060526 12935270 24121052 25870540 30151315 48242104 51741080 60302630 120605260 241210520 2285469677 4570939354 9141878708 11427348385 18283757416 20581287619 22854696770 41162575238 45709393540 82325150476 91418787080 102906438095 164650300952 205812876190 411625752380 823251504760 7800308007601 15600616015202 31201232030404 39001540038005 62402464060808 78003080076010 156006160152020 312012320304040