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312610666146042 = 231137128014195801
BaseRepresentation
bin100011100010100010101011…
…1101101010110100011111010
31111222212021202211010002211210
41013011011113231112203322
5311433303121013133132
63024511205113103550
7122563242505214235
oct10705052755264372
91458767684102753
10312610666146042
1190675491329250
122b08a05b6b7bb6
13105580a0457504
14572a6190a241c
152621ac2be1bcc
hex11c5157b568fa

312610666146042 has 32 divisors (see below), whose sum is σ = 700493679428544. Its totient is φ = 92170220976000.

The previous prime is 312610666146029. The next prime is 312610666146059. The reversal of 312610666146042 is 240641666016213.

It is a junction number, because it is equal to n+sod(n) for n = 312610666145982 and 312610666146000.

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, 64007095459 + ... + 64007100342.

It is an arithmetic number, because the mean of its divisors is an integer number (21890427482142).

Almost surely, 2312610666146042 is an apocalyptic number.

312610666146042 is an abundant number, since it is smaller than the sum of its proper divisors (387883013282502).

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

312610666146042 is a wasteful number, since it uses less digits than its factorization.

312610666146042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128014195854.

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 312610666146042 in words is "three hundred twelve trillion, six hundred ten billion, six hundred sixty-six million, one hundred forty-six thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 128014195801 256028391602 384042587403 768085174806 1408156153811 2816312307622 4224468461433 4736525244637 8448936922866 9473050489274 14209575733911 28419151467822 52101777691007 104203555382014 156305333073021 312610666146042