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312414312112 = 24722383167221
BaseRepresentation
bin1001000101111010101…
…10000001011010110000
31002212101200122102110121
410202331112001122300
520104311030441422
6355304322540024
731366626560200
oct4427526013260
91085350572417
10312414312112
11110548809781
125066ab07614
13235caa76216
1411199bac400
1581d74bd8c7
hex48bd5816b0

312414312112 has 60 divisors (see below), whose sum is σ = 704427357216. Its totient is φ = 133834861440.

The previous prime is 312414312107. The next prime is 312414312121. The reversal of 312414312112 is 211213414213.

It is a super-3 number, since 3×3124143121123 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1784662 + ... + 1951882.

Almost surely, 2312414312112 is an apocalyptic number.

It is an amenable number.

312414312112 is an abundant number, since it is smaller than the sum of its proper divisors (392013045104).

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

312414312112 is a wasteful number, since it uses less digits than its factorization.

312414312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169626 (or 169613 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

Adding to 312414312112 its reverse (211213414213), we get a palindrome (523627726325).

The spelling of 312414312112 in words is "three hundred twelve billion, four hundred fourteen million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 2383 4766 9532 16681 19064 33362 38128 66724 116767 133448 167221 233534 266896 334442 467068 668884 934136 1170547 1337768 1868272 2341094 2675536 4682188 8193829 9364376 16387658 18728752 32775316 65550632 131101264 398487643 796975286 1593950572 2789413501 3187901144 5578827002 6375802288 11157654004 19525894507 22315308008 39051789014 44630616016 78103578028 156207156056 312414312112