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1214316460152 = 2332313290918523
BaseRepresentation
bin10001101010111010111…
…001101011100001111000
311022002100210122122021100
4101222322321223201320
5124343410003211102
62325503240011400
7153505615414635
oct21527271534170
94262323578240
101214316460152
11428a96a91544
12177414160b60
138a6816387c3
1442ab7a5b18c
15218c19cea1c
hex11abae6b878

1214316460152 has 96 divisors (see below), whose sum is σ = 3300593353200. Its totient is φ = 403318476288.

The previous prime is 1214316460129. The next prime is 1214316460211. The reversal of 1214316460152 is 2510646134121.

1214316460152 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 3 + 1 + 646 + 0 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 65547963 + ... + 65566485.

Almost surely, 21214316460152 is an apocalyptic number.

1214316460152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1214316460152 is an abundant number, since it is smaller than the sum of its proper divisors (2086276893048).

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

1214316460152 is a wasteful number, since it uses less digits than its factorization.

1214316460152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21757 (or 21750 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1214316460152 in words is "one trillion, two hundred fourteen billion, three hundred sixteen million, four hundred sixty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 313 626 939 1252 1878 2504 2817 2909 3756 5634 5818 7512 8727 11268 11636 17454 18523 22536 23272 26181 34908 37046 52362 55569 69816 74092 104724 111138 148184 166707 209448 222276 333414 444552 666828 910517 1333656 1821034 2731551 3642068 5463102 5797699 7284136 8194653 10926204 11595398 16389306 17393097 21852408 23190796 32778612 34786194 46381592 52179291 53883407 65557224 69572388 104358582 107766814 139144776 161650221 208717164 215533628 323300442 417434328 431067256 484950663 646600884 969901326 1293201768 1939802652 3879605304 16865506391 33731012782 50596519173 67462025564 101193038346 134924051128 151789557519 202386076692 303579115038 404772153384 607158230076 1214316460152