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999976000144 = 24112227272
BaseRepresentation
bin11101000110100110011…
…01101101101010010000
310112121010001021002212111
432203103031231222100
5112340422324001034
62043214352035104
7132150223520422
oct16432315555220
93477101232774
10999976000144
113560a6423500
12141975b32a94
13733b3314944
143658319a812
151b0295c5364
hexe8d336da90

999976000144 has 45 divisors (see below), whose sum is σ = 2129691356611. Its totient is φ = 454514545760.

The previous prime is 999976000141. The next prime is 999976000157. The reversal of 999976000144 is 441000679999.

The square root of 999976000144 is 999988.

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

999976000144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (999976000141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43988109 + ... + 44010835.

Almost surely, 2999976000144 is an apocalyptic number.

999976000144 is the 999988-th square number.

It is an amenable number.

999976000144 is an abundant number, since it is smaller than the sum of its proper divisors (1129715356467).

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

999976000144 is an frugal number, since it uses more digits than its factorization.

999976000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45484 (or 22740 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 58.

The spelling of 999976000144 in words is "nine hundred ninety-nine billion, nine hundred seventy-six million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 22727 45454 90908 181816 249997 363632 499994 999988 1999976 2749967 3999952 5499934 10999868 21999736 43999472 516516529 1033033058 2066066116 4132132232 5681681819 8264264464 11363363638 22726727276 45453454552 62498500009 90906909104 124997000018 249994000036 499988000072 999976000144