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14386738072700 = 2252729719981779
BaseRepresentation
bin1101000101011010110001…
…1010011000110001111100
31212221100200111211121120202
43101112230122120301330
53341203014421311300
650333102022103032
73013256531624360
oct321265432306174
955840614747522
1014386738072700
114647421642794
1217442b557aa78
13804881b63016
1437a4711a32a0
1519e3733a6ad5
hexd15ac698c7c

14386738072700 has 144 divisors (see below), whose sum is σ = 37429279372800. Its totient is φ = 4695428371200.

The previous prime is 14386738072699. The next prime is 14386738072717. The reversal of 14386738072700 is 727083768341.

14386738072700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3549590 + ... + 6432189.

It is an arithmetic number, because the mean of its divisors is an integer number (259925551200).

Almost surely, 214386738072700 is an apocalyptic number.

14386738072700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14386738072700 is an abundant number, since it is smaller than the sum of its proper divisors (23042541300100).

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

14386738072700 is a wasteful number, since it uses less digits than its factorization.

14386738072700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9981900 (or 9981893 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 56.

The spelling of 14386738072700 in words is "fourteen trillion, three hundred eighty-six billion, seven hundred thirty-eight million, seventy-two thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 71 100 116 140 142 145 175 203 284 290 350 355 406 497 580 700 710 725 812 994 1015 1420 1450 1775 1988 2030 2059 2485 2900 3550 4060 4118 4970 5075 7100 8236 9940 10150 10295 12425 14413 20300 20590 24850 28826 41180 49700 51475 57652 72065 102950 144130 205900 288260 360325 720650 1441300 9981779 19963558 39927116 49908895 69872453 99817790 139744906 199635580 249544475 279489812 289471591 349362265 499088950 578943182 698724530 708706309 998177900 1157886364 1397449060 1417412618 1447357955 1746811325 2026301137 2834825236 2894715910 3493622650 3543531545 4052602274 4960944163 5789431820 6987245300 7087063090 7236789775 8105204548 9921888326 10131505685 14174126180 14473579550 17717657725 19843776652 20263011370 20552482961 24804720815 28947159100 35435315450 40526022740 41104965922 49609441630 50657528425 70870630900 82209931844 99218883260 101315056850 102762414805 124023604075 143867380727 202630113700 205524829610 248047208150 287734761454 411049659220 496094416300 513812074025 575469522908 719336903635 1027624148050 1438673807270 2055248296100 2877347614540 3596684518175 7193369036350 14386738072700