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14224100131140 = 22351731847437881
BaseRepresentation
bin1100111011111100111001…
…1011111000000101000100
31212100210212222212011001120
43032333032123320011010
53331021424113144030
650130243354353540
72665441314134424
oct316771633700504
955323788764046
1014224100131140
114594452780039
12171888642b8b0
137c243322a843
143726431b2484
1519a005042010
hexcefce6f8144

14224100131140 has 96 divisors (see below), whose sum is σ = 42171693790464. Its totient is φ = 3569849978880.

The previous prime is 14224100131127. The next prime is 14224100131169. The reversal of 14224100131140 is 4113100142241.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14224100131140.

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, 32265000 + ... + 32702880.

It is an arithmetic number, because the mean of its divisors is an integer number (439288476984).

Almost surely, 214224100131140 is an apocalyptic number.

14224100131140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14224100131140 is an abundant number, since it is smaller than the sum of its proper divisors (27947593659324).

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

14224100131140 is a wasteful number, since it uses less digits than its factorization.

14224100131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469757 (or 469755 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14224100131140 its reverse (4113100142241), we get a palindrome (18337200273381).

The spelling of 14224100131140 in words is "fourteen trillion, two hundred twenty-four billion, one hundred million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 31847 63694 95541 127388 159235 191082 318470 382164 437881 477705 541399 636940 875762 955410 1082798 1313643 1624197 1751524 1910820 2165596 2189405 2627286 2706995 3248394 4378810 5254572 5413990 6496788 6568215 7443977 8120985 8757620 10827980 13136430 14887954 16241970 22331931 26272860 29775908 32483940 37219885 44663862 74439770 89327724 111659655 148879540 223319310 446638620 13945196207 27890392414 41835588621 55780784828 69725981035 83671177242 139451962070 167342354484 209177943105 237068335519 278903924140 418355886210 474136671038 711205006557 836711772420 948273342076 1185341677595 1422410013114 2370683355190 2844820026228 3556025032785 4741366710380 7112050065570 14224100131140