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1312410144 = 25316018539
BaseRepresentation
bin100111000111001…
…1100101000100000
310101110112100021010
41032032130220200
510141434111034
6334121300520
744344205433
oct11616345040
93343470233
101312410144
11613904191
12307634740
1317bb91866
14c643181a
157a3423e9
hex4e39ca20

1312410144 has 48 divisors (see below), whose sum is σ = 3447632160. Its totient is φ = 437145600.

The previous prime is 1312410139. The next prime is 1312410163. The reversal of 1312410144 is 4410142131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1312410144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149427 + ... + 157965.

It is an arithmetic number, because the mean of its divisors is an integer number (71825670).

Almost surely, 21312410144 is an apocalyptic number.

It is an amenable number.

1312410144 is an abundant number, since it is smaller than the sum of its proper divisors (2135222016).

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

1312410144 is a wasteful number, since it uses less digits than its factorization.

1312410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10153 (or 10145 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1312410144 is about 36227.2017136295. The cubic root of 1312410144 is about 1094.8547986194.

Adding to 1312410144 its reverse (4410142131), we get a palindrome (5722552275).

The spelling of 1312410144 in words is "one billion, three hundred twelve million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1601 3202 4803 6404 8539 9606 12808 17078 19212 25616 25617 34156 38424 51232 51234 68312 76848 102468 136624 153696 204936 273248 409872 819744 13670939 27341878 41012817 54683756 82025634 109367512 164051268 218735024 328102536 437470048 656205072 1312410144