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141304667962896 = 24343301992
BaseRepresentation
bin100000001000010000001110…
…100010011111111000010000
3200112022121001021012002010000
4200020100032202133320100
5122010113424444303041
61220310245053210000
741522632254013644
oct4010201642377020
9615277037162100
10141304667962896
1141029a78295009
1213a2195b490900
1360acc8592c659
1426c727a7c4c24
1511509d312bbb6
hex80840e89fe10

141304667962896 has 75 divisors (see below), whose sum is σ = 408977943463551. Its totient is φ = 47101413341664.

The previous prime is 141304667962877. The next prime is 141304667962897. The reversal of 141304667962896 is 698269766403141.

The square root of 141304667962896 is 11887164.

It is a perfect power (a square), and thus also a powerful number.

141304667962896 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 0 + 466 + 79 + 6 + 2 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (141304667962897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 427772805 + ... + 428103003.

Almost surely, 2141304667962896 is an apocalyptic number.

141304667962896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

141304667962896 is the 11887164-th square number.

It is an amenable number.

141304667962896 is an abundant number, since it is smaller than the sum of its proper divisors (267673275500655).

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

141304667962896 is an frugal number, since it uses more digits than its factorization.

141304667962896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660418 (or 330204 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 141304667962896 in words is "one hundred forty-one trillion, three hundred four billion, six hundred sixty-seven million, nine hundred sixty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 330199 660398 990597 1320796 1981194 2641592 2971791 3962388 5283184 5943582 7924776 8915373 11887164 15849552 17830746 23774328 26746119 35661492 47548656 53492238 71322984 106984476 142645968 213968952 427937904 109031379601 218062759202 327094138803 436125518404 654188277606 872251036808 981282416409 1308376555212 1744502073616 1962564832818 2616753110424 2943847249227 3925129665636 5233506220848 5887694498454 7850259331272 8831541747681 11775388996908 15700518662544 17663083495362 23550777993816 35326166990724 47101555987632 70652333981448 141304667962896