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312313112940 = 223519273958871
BaseRepresentation
bin1001000101101110100…
…11111110100101101100
31002212010122012222022010
410202313103332211230
520104104124103230
6355250305521220
731364260441653
oct4426723764554
91085118188263
10312313112940
111104a66792a4
1250641043210
13235b2b0295a
141118a58819a
1581cd67d9b0
hex48b74fe96c

312313112940 has 48 divisors (see below), whose sum is σ = 920501809920. Its totient is φ = 78900154560.

The previous prime is 312313112929. The next prime is 312313112941. The reversal of 312313112940 is 49211313213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 312313112898 and 312313112907.

It is not an unprimeable number, because it can be changed into a prime (312313112941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136978296 + ... + 136980575.

It is an arithmetic number, because the mean of its divisors is an integer number (19177121040).

Almost surely, 2312313112940 is an apocalyptic number.

312313112940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312313112940 is an abundant number, since it is smaller than the sum of its proper divisors (608188696980).

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

312313112940 is a wasteful number, since it uses less digits than its factorization.

312313112940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273958902 (or 273958900 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 312313112940 in words is "three hundred twelve billion, three hundred thirteen million, one hundred twelve thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 273958871 547917742 821876613 1095835484 1369794355 1643753226 2739588710 3287506452 4109383065 5205218549 5479177420 8218766130 10410437098 15615655647 16437532260 20820874196 26026092745 31231311294 52052185490 62462622588 78078278235 104104370980 156156556470 312313112940