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146136311564440 = 23521937166540903
BaseRepresentation
bin100001001110100100000010…
…111100001000100010011000
3201011102111100211001000212011
4201032210002330020202120
5123123244131230030230
61234450032243555304
742532000014006151
oct4116440274104230
9634374324030764
10146136311564440
114262207512658a
121448224308bb34
13637079742a522
14281306c8d8928
1511d651a465e2a
hex84e902f08898

146136311564440 has 32 divisors (see below), whose sum is σ = 328821691675680. Its totient is φ = 58451859620352.

The previous prime is 146136311564437. The next prime is 146136311564459. The reversal of 146136311564440 is 44465113631641.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 82392972 + ... + 84147931.

It is an arithmetic number, because the mean of its divisors is an integer number (10275677864865).

Almost surely, 2146136311564440 is an apocalyptic number.

146136311564440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146136311564440 is an abundant number, since it is smaller than the sum of its proper divisors (182685380111240).

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

146136311564440 is a wasteful number, since it uses less digits than its factorization.

146136311564440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166562851 (or 166562847 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 146136311564440 in words is "one hundred forty-six trillion, one hundred thirty-six billion, three hundred eleven million, five hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 21937 43874 87748 109685 175496 219370 438740 877480 166540903 333081806 666163612 832704515 1332327224 1665409030 3330818060 6661636120 3653407789111 7306815578222 14613631156444 18267038945555 29227262312888 36534077891110 73068155782220 146136311564440