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12141427878504 = 23321710396305507
BaseRepresentation
bin1011000010101110010101…
…1111101110101001101000
31120222201010222120201121200
42300223211133232221220
53042411121014103004
641453410040204200
72362121621105631
oct260534537565150
946881128521550
1012141427878504
113961172569221
12144110b769660
136a0c160417b2
142dd910ad8888
15160c5e192239
hexb0ae57eea68

12141427878504 has 96 divisors (see below), whose sum is σ = 35155362640320. Its totient is φ = 3772094059008.

The previous prime is 12141427878497. The next prime is 12141427878511. The reversal of 12141427878504 is 40587872414121.

It is a happy number.

12141427878504 is a `hidden beast` number, since 1 + 2 + 1 + 41 + 4 + 27 + 8 + 78 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (12141427878497) and next prime (12141427878511).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48026682 + ... + 48278825.

It is an arithmetic number, because the mean of its divisors is an integer number (366201694170).

Almost surely, 212141427878504 is an apocalyptic number.

It is an amenable number.

12141427878504 is an abundant number, since it is smaller than the sum of its proper divisors (23013934761816).

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

12141427878504 is a wasteful number, since it uses less digits than its factorization.

12141427878504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96305639 (or 96305632 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 12141427878504 in words is "twelve trillion, one hundred forty-one billion, four hundred twenty-seven million, eight hundred seventy-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 103 136 153 204 206 306 309 408 412 612 618 824 927 1224 1236 1751 1854 2472 3502 3708 5253 7004 7416 10506 14008 15759 21012 31518 42024 63036 126072 96305507 192611014 288916521 385222028 577833042 770444056 866749563 1155666084 1637193619 1733499126 2311332168 3274387238 3466998252 4911580857 6548774476 6933996504 9823161714 9919467221 13097548952 14734742571 19646323428 19838934442 29469485142 29758401663 39292646856 39677868884 58938970284 59516803326 79355737768 89275204989 117877940568 119033606652 168630942757 178550409978 238067213304 337261885514 357100819956 505892828271 674523771028 714201639912 1011785656542 1349047542056 1517678484813 2023571313084 3035356969626 4047142626168 6070713939252 12141427878504