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14252237824 = 21011712251
BaseRepresentation
bin11010100010111111…
…11110010000000000
31100210021002200211011
431101133332100000
5213142033102244
610314122530304
71013120010526
oct152137762000
940707080734
1014252237824
116054020250
122919066994
131461956026
14992bb6316
1558635a434
hex3517fe400

14252237824 has 132 divisors (see below), whose sum is σ = 31650124464. Its totient is φ = 6361600000.

The previous prime is 14252237819. The next prime is 14252237843. The reversal of 14252237824 is 42873225241.

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, 56781699 + ... + 56781949.

Almost surely, 214252237824 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 14252237824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15825062232).

14252237824 is an abundant number, since it is smaller than the sum of its proper divisors (17397886640).

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

14252237824 is an equidigital number, since it uses as much as digits as its factorization.

14252237824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 335 counting only the distinct ones).

The product of its digits is 215040, while the sum is 40.

The spelling of 14252237824 in words is "fourteen billion, two hundred fifty-two million, two hundred thirty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 251 256 284 352 502 512 568 704 781 1004 1024 1136 1408 1562 2008 2272 2761 2816 3124 4016 4544 5041 5522 5632 6248 8032 9088 10082 11044 11264 12496 16064 17821 18176 20164 22088 24992 32128 35642 36352 40328 44176 49984 55451 64256 71284 72704 80656 88352 99968 110902 128512 142568 161312 176704 196031 199936 221804 257024 285136 322624 353408 392062 399872 443608 570272 645248 706816 784124 799744 887216 1140544 1265291 1290496 1413632 1568248 1774432 2281088 2530582 2580992 2827264 3136496 3548864 4562176 5061164 5161984 6272992 7097728 9124352 10122328 12545984 13918201 14195456 18248704 20244656 25091968 27836402 28390912 40489312 50183936 55672804 56781824 80978624 100367872 111345608 161957248 200735744 222691216 323914496 445382432 647828992 890764864 1295657984 1781529728 3563059456 7126118912 14252237824