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321140125512 = 233229329095233
BaseRepresentation
bin1001010110001010111…
…00010110111101001000
31010200220210210200011200
410223011130112331020
520230143333004022
6403310231224200
732126103012333
oct4530534267510
91120823720150
10321140125512
11114216257508
12522a5218060
132438b795c0b
1411786a0d61a
158548589bac
hex4ac5716f48

321140125512 has 96 divisors (see below), whose sum is σ = 873189790200. Its totient is φ = 106624309248.

The previous prime is 321140125477. The next prime is 321140125517. The reversal of 321140125512 is 215521041123.

It is a happy number.

321140125512 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 401 + 255 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 275870754756 + 45269370756 = 525234^2 + 212766^2 .

It is a super-2 number, since 2×3211401255122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (321140125517) 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 23 ways as a sum of consecutive naturals, for example, 61365648 + ... + 61370880.

Almost surely, 2321140125512 is an apocalyptic number.

It is an amenable number.

321140125512 is an abundant number, since it is smaller than the sum of its proper divisors (552049664688).

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

321140125512 is a wasteful number, since it uses less digits than its factorization.

321140125512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8447 (or 8440 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 321140125512 its reverse (215521041123), we get a palindrome (536661166635).

The spelling of 321140125512 in words is "three hundred twenty-one billion, one hundred forty million, one hundred twenty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 586 879 1172 1758 2344 2637 2909 3516 5233 5274 5818 7032 8727 10466 10548 11636 15699 17454 20932 21096 23272 26181 31398 34908 41864 47097 52362 62796 69816 94194 104724 125592 188388 209448 376776 852337 1533269 1704674 2557011 3066538 3409348 4599807 5114022 6133076 6818696 7671033 9199614 10228044 12266152 13799421 15222797 15342066 18399228 20456088 27598842 30445594 30684132 36798456 45668391 55197684 60891188 61368264 91336782 110395368 121782376 137005173 182673564 274010346 365347128 548020692 1096041384 4460279521 8920559042 13380838563 17841118084 26761677126 35682236168 40142515689 53523354252 80285031378 107046708504 160570062756 321140125512