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313144447 = 72114359229
BaseRepresentation
bin10010101010100…
…011010001111111
3210211020101102111
4102222203101333
51120131110242
651023434451
710521453400
oct2252432177
9724211374
10313144447
11150842070
1288a55a27
134cb50995
142d8359a7
151c758817
hex12aa347f

313144447 has 48 divisors (see below), whose sum is σ = 415324800. Its totient is φ = 233271360.

The previous prime is 313144427. The next prime is 313144483. The reversal of 313144447 is 744441313.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-313144447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313144417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1367329 + ... + 1367557.

It is an arithmetic number, because the mean of its divisors is an integer number (8652600).

Almost surely, 2313144447 is an apocalyptic number.

313144447 is a deficient number, since it is larger than the sum of its proper divisors (102180353).

313144447 is a wasteful number, since it uses less digits than its factorization.

313144447 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 349 counting only the distinct ones).

The product of its digits is 16128, while the sum is 31.

The square root of 313144447 is about 17695.8878556573. The cubic root of 313144447 is about 679.0705633968.

The spelling of 313144447 in words is "three hundred thirteen million, one hundred forty-four thousand, four hundred forty-seven".

Divisors: 1 7 11 43 49 59 77 229 301 413 473 539 649 1603 2107 2519 2537 2891 3311 4543 9847 11221 13511 17633 17759 23177 27907 31801 68929 94577 108317 123431 124313 148621 195349 482503 580973 662039 758219 1040347 1367443 4066811 5307533 6390703 7282429 28467677 44734921 313144447