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14147686140 = 22357191772893
BaseRepresentation
bin11010010110100010…
…01000111011111100
31100111222100220212120
431023101020323330
5212433301424030
610255510002540
71010410230240
oct151321107374
940458326776
1014147686140
115aaaaaaaa5
1228aa046450
1314460aa823
14982d5c420
1557c0a7010
hex34b448efc

14147686140 has 96 divisors (see below), whose sum is σ = 47655390720. Its totient is φ = 3063557376.

The previous prime is 14147686129. The next prime is 14147686183. The reversal of 14147686140 is 4168674141.

It is a happy number.

14147686140 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14147686092 and 14147686101.

It is a congruent number.

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, 878467 + ... + 894426.

It is an arithmetic number, because the mean of its divisors is an integer number (496410320).

Almost surely, 214147686140 is an apocalyptic number.

14147686140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14147686140 is an abundant number, since it is smaller than the sum of its proper divisors (33507704580).

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

14147686140 is a wasteful number, since it uses less digits than its factorization.

14147686140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772931 (or 1772929 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 14147686140 in words is "fourteen billion, one hundred forty-seven million, six hundred eighty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 7980 1772893 3545786 5318679 7091572 8864465 10637358 12410251 17728930 21274716 24820502 26593395 33684967 35457860 37230753 49641004 53186790 62051255 67369934 74461506 101054901 106373580 124102510 134739868 148923012 168424835 186153765 202109802 235794769 248205020 336849670 372307530 404219604 471589538 505274505 673699340 707384307 744615060 943179076 1010549010 1178973845 1414768614 2021098020 2357947690 2829537228 3536921535 4715895380 7073843070 14147686140