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14311612928 = 291723112
BaseRepresentation
bin11010101010000100…
…11110001000000000
31100221101211021011002
431111002132020000
5213302233103203
610324043311132
71014440463014
oct152502361000
940841737132
1014311612928
116084594688
122934b1b4a8
131471044722
1499aa30544
1558b687d88
hex35509e200

14311612928 has 90 divisors (see below), whose sum is σ = 30474281013. Its totient is φ = 6713221120.

The previous prime is 14311612919. The next prime is 14311612951. The reversal of 14311612928 is 82921611341.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 13098344704 + 1213268224 = 114448^2 + 34832^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=84592.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14311612891 and 14311612900.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46017893 + ... + 46018203.

Almost surely, 214311612928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14311612928

14311612928 is an abundant number, since it is smaller than the sum of its proper divisors (16162668085).

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

14311612928 is an frugal number, since it uses more digits than its factorization.

14311612928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 330 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The spelling of 14311612928 in words is "fourteen billion, three hundred eleven million, six hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 311 512 544 578 622 1088 1156 1244 2176 2312 2488 4352 4624 4976 5287 8704 9248 9952 10574 18496 19904 21148 36992 39808 42296 73984 79616 84592 89879 96721 147968 159232 169184 179758 193442 338368 359516 386884 676736 719032 773768 1353472 1438064 1547536 1644257 2706944 2876128 3095072 3288514 5752256 6190144 6577028 11504512 12380288 13154056 23009024 24760576 26308112 27952369 46018048 49521152 52616224 55904738 105232448 111809476 210464896 223618952 420929792 447237904 841859584 894475808 1788951616 3577903232 7155806464 14311612928