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314561214112 = 2514965973409
BaseRepresentation
bin1001001001111010100…
…11110011011010100000
31010001221022102100100111
410210331103303122200
520123210132322422
6400301334301104
731504056126535
oct4447523633240
91101838370314
10314561214112
1111144a671a52
1250b69ab7794
13238807a6332
1411320d86d8c
1582b0beca77
hex493d4f36a0

314561214112 has 24 divisors (see below), whose sum is σ = 623448724500. Its totient is φ = 156225030144.

The previous prime is 314561214043. The next prime is 314561214119. The reversal of 314561214112 is 211412165413.

It can be written as a sum of positive squares in 2 ways, for example, as 257093617936 + 57467596176 = 507044^2 + 239724^2 .

It is not an unprimeable number, because it can be changed into a prime (314561214119) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 32981937 + ... + 32991472.

Almost surely, 2314561214112 is an apocalyptic number.

314561214112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314561214112 is a deficient number, since it is larger than the sum of its proper divisors (308887510388).

314561214112 is a wasteful number, since it uses less digits than its factorization.

314561214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65973568 (or 65973560 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

Adding to 314561214112 its reverse (211412165413), we get a palindrome (525973379525).

The spelling of 314561214112 in words is "three hundred fourteen billion, five hundred sixty-one million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 149 298 596 1192 2384 4768 65973409 131946818 263893636 527787272 1055574544 2111149088 9830037941 19660075882 39320151764 78640303528 157280607056 314561214112