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12614445440 = 27559334069
BaseRepresentation
bin10111011111110000…
…10010100110000000
31012120010022020000222
423233320102212000
5201313244223230
65443415202212
7624412005602
oct135770224600
935503266028
1012614445440
115393586623
122540676368
13126054a4cc
14879485172
154dc6936e5
hex2efe12980

12614445440 has 64 divisors (see below), whose sum is σ = 30667626000. Its totient is φ = 4960241664.

The previous prime is 12614445421. The next prime is 12614445443. The reversal of 12614445440 is 4454441621.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 12614445440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12614445443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129275 + ... + 204794.

Almost surely, 212614445440 is an apocalyptic number.

12614445440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12614445440 is an abundant number, since it is smaller than the sum of its proper divisors (18053180560).

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

12614445440 is an equidigital number, since it uses as much as digits as its factorization.

12614445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334147 (or 334135 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The spelling of 12614445440 in words is "twelve billion, six hundred fourteen million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 236 295 320 472 590 640 944 1180 1888 2360 3776 4720 7552 9440 18880 37760 334069 668138 1336276 1670345 2672552 3340690 5345104 6681380 10690208 13362760 19710071 21380416 26725520 39420142 42760832 53451040 78840284 98550355 106902080 157680568 197100710 213804160 315361136 394201420 630722272 788402840 1261444544 1576805680 2522889088 3153611360 6307222720 12614445440