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312718441992 = 233111923281273
BaseRepresentation
bin1001000110011110111…
…10001011111000001000
31002220011212220211020020
410203033132023320020
520110421410120432
6355354425300440
731410311620215
oct4431736137010
91086155824206
10312718441992
11110694453a90
1250734934720
1323648a8ba28
14111c8338b0c
15820404622c
hex48cf78be08

312718441992 has 96 divisors (see below), whose sum is σ = 900119083680. Its totient is φ = 89775601920.

The previous prime is 312718441891. The next prime is 312718442009. The reversal of 312718441992 is 299144817213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1545333 + ... + 1735940.

It is an arithmetic number, because the mean of its divisors is an integer number (9376240455).

Almost surely, 2312718441992 is an apocalyptic number.

It is an amenable number.

312718441992 is an abundant number, since it is smaller than the sum of its proper divisors (587400641688).

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

312718441992 is a wasteful number, since it uses less digits than its factorization.

312718441992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281331 (or 3281308 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The spelling of 312718441992 in words is "three hundred twelve billion, seven hundred eighteen million, four hundred forty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 361 418 456 627 722 836 1083 1254 1444 1672 2166 2508 2888 3971 4332 5016 7942 8664 11913 15884 23826 31768 47652 95304 3281273 6562546 9843819 13125092 19687638 26250184 36094003 39375276 62344187 72188006 78750552 108282009 124688374 144376012 187032561 216564018 249376748 288752024 374065122 433128036 498753496 685786057 748130244 866256072 1184539553 1371572114 1496260488 2057358171 2369079106 2743144228 3553618659 4114716342 4738158212 5486288456 7107237318 8229432684 9476316424 13029935083 14214474636 16458865368 26059870166 28428949272 39089805249 52119740332 78179610498 104239480664 156359220996 312718441992