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1056034144 = 251123130439
BaseRepresentation
bin111110111100011…
…100110101100000
32201121010002111201
4332330130311200
54130321043034
6252442250544
735112066514
oct7674346540
92647102451
101056034144
114a21160a0
122557b6a54
1313aa28c99
14a0376144
1562a9e014
hex3ef1cd60

1056034144 has 48 divisors (see below), whose sum is σ = 2366703360. Its totient is φ = 459141760.

The previous prime is 1056034141. The next prime is 1056034151. The reversal of 1056034144 is 4414306501.

It is a super-2 number, since 2×10560341442 = 2230416226587625472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056034141) 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 7 ways as a sum of consecutive naturals, for example, 57124 + ... + 73315.

It is an arithmetic number, because the mean of its divisors is an integer number (49306320).

Almost surely, 21056034144 is an apocalyptic number.

It is an amenable number.

1056034144 is an abundant number, since it is smaller than the sum of its proper divisors (1310669216).

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

1056034144 is a wasteful number, since it uses less digits than its factorization.

1056034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130483 (or 130475 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1056034144 is about 32496.6789687808. The cubic root of 1056034144 is about 1018.3396491338.

The spelling of 1056034144 in words is "one billion, fifty-six million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 130439 260878 521756 1043512 1434829 2087024 2869658 3000097 4174048 5739316 6000194 11478632 12000388 22957264 24000776 33001067 45914528 48001552 66002134 96003104 132004268 264008536 528017072 1056034144