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14215295744 = 28132595569
BaseRepresentation
bin11010011110100110…
…00011001100000000
31100200200120211210222
431033103003030000
5213103103430434
610310323042212
71012161006626
oct151723031400
940620524728
1014215295744
116035189101
122908810368
1314570c0300
1498bd1b516
15582eae72e
hex34f4c3300

14215295744 has 108 divisors (see below), whose sum is σ = 31252044600. Its totient is φ = 6448545792.

The previous prime is 14215295723. The next prime is 14215295761. The reversal of 14215295744 is 44759251241.

It is a junction number, because it is equal to n+sod(n) for n = 14215295695 and 14215295704.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2549792 + ... + 2555360.

Almost surely, 214215295744 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 14215295744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15626022300).

14215295744 is an abundant number, since it is smaller than the sum of its proper divisors (17036748856).

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

14215295744 is an equidigital number, since it uses as much as digits as its factorization.

14215295744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5670 (or 5643 counting only the distinct ones).

The product of its digits is 403200, while the sum is 44.

The spelling of 14215295744 in words is "fourteen billion, two hundred fifteen million, two hundred ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 128 169 208 236 256 338 416 472 676 767 832 944 1352 1534 1664 1888 2704 3068 3328 3776 5408 5569 6136 7552 9971 10816 11138 12272 15104 19942 21632 22276 24544 39884 43264 44552 49088 72397 79768 89104 98176 144794 159536 178208 196352 289588 319072 328571 356416 579176 638144 657142 712832 941161 1158352 1276288 1314284 1425664 1882322 2316704 2552576 2628568 3764644 4271423 4633408 5257136 7529288 8542846 9266816 10514272 15058576 17085692 18533632 21028544 30117152 34171384 42057088 55528499 60234304 68342768 84114176 111056998 120468608 136685536 222113996 240937216 273371072 444227992 546742144 888455984 1093484288 1776911968 3553823936 7107647872 14215295744