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14375046920 = 23513239712391
BaseRepresentation
bin11010110001101000…
…11100111100001000
31101002211012001020012
431120310130330020
5213420003000140
610334231051052
71016140611533
oct153064347410
941084161205
1014375046920
116107380573
122952210a88
131481224730
149a5223a1a
15592018265
hex358d1cf08

14375046920 has 128 divisors (see below), whose sum is σ = 36723939840. Its totient is φ = 5024194560.

The previous prime is 14375046919. The next prime is 14375046937. The reversal of 14375046920 is 2964057341.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1153925 + ... + 1166315.

It is an arithmetic number, because the mean of its divisors is an integer number (286905780).

Almost surely, 214375046920 is an apocalyptic number.

14375046920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14375046920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18361969920).

14375046920 is an abundant number, since it is smaller than the sum of its proper divisors (22348892920).

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

14375046920 is a wasteful number, since it uses less digits than its factorization.

14375046920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12535 (or 12531 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 14375046920 in words is "fourteen billion, three hundred seventy-five million, forty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 97 104 115 130 184 194 230 260 299 388 460 485 520 598 776 920 970 1196 1261 1495 1940 2231 2392 2522 2990 3880 4462 5044 5980 6305 8924 10088 11155 11960 12391 12610 17848 22310 24782 25220 29003 44620 49564 50440 58006 61955 89240 99128 116012 123910 145015 161083 232024 247820 284993 290030 322166 495640 569986 580060 644332 805415 1139972 1160120 1201927 1288664 1424965 1610830 2279944 2403854 2849930 3221660 3704909 4807708 5699860 6009635 6443320 7409818 9615416 11399720 12019270 14819636 15625051 18524545 24038540 27644321 29639272 31250102 37049090 48077080 55288642 62500204 74098180 78125255 110577284 125000408 138221605 148196360 156250510 221154568 276443210 312501020 359376173 552886420 625002040 718752346 1105772840 1437504692 1796880865 2875009384 3593761730 7187523460 14375046920