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14819429340 = 22325127648269
BaseRepresentation
bin11011100110100111…
…01000101111011100
31102020210101000022100
431303103220233130
5220322233214330
610450303445100
71033145033232
oct156323505734
942223330270
1014819429340
1163151aa671
122a56bb6790
131522305501
14a0825c952
155bb047060
hex3734e8bdc

14819429340 has 72 divisors (see below), whose sum is σ = 45306293760. Its totient is φ = 3920724864.

The previous prime is 14819429321. The next prime is 14819429357. The reversal of 14819429340 is 4392491841.

14819429340 is a `hidden beast` number, since 1 + 481 + 9 + 42 + 93 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 301275 + ... + 346994.

It is an arithmetic number, because the mean of its divisors is an integer number (629254080).

Almost surely, 214819429340 is an apocalyptic number.

14819429340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14819429340 is an abundant number, since it is smaller than the sum of its proper divisors (30486864420).

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

14819429340 is a wasteful number, since it uses less digits than its factorization.

14819429340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648411 (or 648406 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 14819429340 in words is "fourteen billion, eight hundred nineteen million, four hundred twenty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 11430 22860 648269 1296538 1944807 2593076 3241345 3889614 5834421 6482690 7779228 9724035 11668842 12965380 19448070 23337684 29172105 38896140 58344210 82330163 116688420 164660326 246990489 329320652 411650815 493980978 740971467 823301630 987961956 1234952445 1481942934 1646603260 2469904890 2963885868 3704857335 4939809780 7409714670 14819429340