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13714924140 = 22325307248189
BaseRepresentation
bin11001100010111100…
…10010001001101100
31022101211001100000100
430301132102021230
5211042010033030
610144530231100
7663603634401
oct146136221154
938354040010
1013714924140
1158a8798555
1227a9125490
1313a7538038
149416aa2a8
155540c1360
hex33179226c

13714924140 has 72 divisors (see below), whose sum is σ = 41737615920. Its totient is φ = 3645385344.

The previous prime is 13714924133. The next prime is 13714924211. The reversal of 13714924140 is 4142941731.

13714924140 is a `hidden beast` number, since 1 + 371 + 4 + 9 + 241 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13714924095 and 13714924104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68835 + ... + 179354.

It is an arithmetic number, because the mean of its divisors is an integer number (579689110).

Almost surely, 213714924140 is an apocalyptic number.

13714924140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13714924140 is an abundant number, since it is smaller than the sum of its proper divisors (28022691780).

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

13714924140 is a wasteful number, since it uses less digits than its factorization.

13714924140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248511 (or 248506 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13714924140 in words is "thirteen billion, seven hundred fourteen million, nine hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 921 1228 1535 1842 2763 3070 3684 4605 5526 6140 9210 11052 13815 18420 27630 55260 248189 496378 744567 992756 1240945 1489134 2233701 2481890 2978268 3722835 4467402 4963780 7445670 8934804 11168505 14891340 22337010 44674020 76194023 152388046 228582069 304776092 380970115 457164138 685746207 761940230 914328276 1142910345 1371492414 1523880460 2285820690 2742984828 3428731035 4571641380 6857462070 13714924140