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12154260157144 = 237317260552653
BaseRepresentation
bin1011000011011110001001…
…0110111111001011011000
31121000221021021210000121221
42300313202112333023120
53043113411100012034
641503331240341424
72363054616505000
oct260674226771330
947027237700557
1012154260157144
113966657aa8086
1214436b1174874
136a21ac74b391
143003ab085000
15161260a13bb4
hexb0de25bf2d8

12154260157144 has 64 divisors (see below), whose sum is σ = 28139686632000. Its totient is φ = 4902558700032.

The previous prime is 12154260157121. The next prime is 12154260157241. The reversal of 12154260157144 is 44175106245121.

It is a self number, because there is not a number n which added to its sum of digits gives 12154260157144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130229679 + ... + 130322974.

It is an arithmetic number, because the mean of its divisors is an integer number (439682603625).

Almost surely, 212154260157144 is an apocalyptic number.

12154260157144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12154260157144 is an abundant number, since it is smaller than the sum of its proper divisors (15985426474856).

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

12154260157144 is a wasteful number, since it uses less digits than its factorization.

12154260157144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260552697 (or 260552679 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 12154260157144 in words is "twelve trillion, one hundred fifty-four billion, two hundred sixty million, one hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 343 392 476 686 833 952 1372 1666 2744 3332 5831 6664 11662 23324 46648 260552653 521105306 1042210612 1823868571 2084421224 3647737142 4429395101 7295474284 8858790202 12767079997 14590948568 17717580404 25534159994 31005765707 35435160808 51068319988 62011531414 89369559979 102136639976 124023062828 178739119958 217040359949 248046125656 357478239916 434080719898 714956479832 868161439796 1519282519643 1736322879592 3038565039286 6077130078572 12154260157144