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1319157312 = 26311624601
BaseRepresentation
bin100111010100000…
…1011111001000000
310101221020010122020
41032220023321000
510200201013222
6334522041440
744455436454
oct11650137100
93357203566
101319157312
116176a2460
12309949280
131803b4975
14c72aa664
157ac2665c
hex4ea0be40

1319157312 has 56 divisors (see below), whose sum is σ = 3807573792. Its totient is φ = 399744000.

The previous prime is 1319157299. The next prime is 1319157317. The reversal of 1319157312 is 2137519131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1319157317) by changing a digit.

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, 310189 + ... + 314412.

Almost surely, 21319157312 is an apocalyptic number.

1319157312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1319157312 is an abundant number, since it is smaller than the sum of its proper divisors (2488416480).

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

1319157312 is a wasteful number, since it uses less digits than its factorization.

1319157312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624627 (or 624617 counting only the distinct ones).

The product of its digits is 5670, while the sum is 33.

The square root of 1319157312 is about 36320.2052857635. The cubic root of 1319157312 is about 1096.7278274274.

The spelling of 1319157312 in words is "one billion, three hundred nineteen million, one hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 624601 1249202 1873803 2498404 3747606 4996808 6870611 7495212 9993616 13741222 14990424 19987232 20611833 27482444 29980848 39974464 41223666 54964888 59961696 82447332 109929776 119923392 164894664 219859552 329789328 439719104 659578656 1319157312