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400061256224 = 25717105058103
BaseRepresentation
bin1011101001001011000…
…00100101001000100000
31102020121221211111201212
411310211200211020200
523023311140144344
6503441405045252
740621614366410
oct5644540451040
91366557744655
10400061256224
11144735171083
126564b856828
132b958238026
141551238a640
15a616e9879e
hex5d25825220

400061256224 has 48 divisors (see below), whose sum is σ = 953087119488. Its totient is φ = 161369244672.

The previous prime is 400061256223. The next prime is 400061256227. The reversal of 400061256224 is 422652160004.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (400061256223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52525244 + ... + 52532859.

It is an arithmetic number, because the mean of its divisors is an integer number (19855981656).

Almost surely, 2400061256224 is an apocalyptic number.

It is an amenable number.

400061256224 is an abundant number, since it is smaller than the sum of its proper divisors (553025863264).

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

400061256224 is a wasteful number, since it uses less digits than its factorization.

400061256224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105058137 (or 105058129 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 400061256224 in words is "four hundred billion, sixty-one million, two hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 105058103 210116206 420232412 735406721 840464824 1470813442 1680929648 1785987751 2941626884 3361859296 3571975502 5883253768 7143951004 11766507536 12501914257 14287902008 23533015072 25003828514 28575804016 50007657028 57151608032 100015314056 200030628112 400061256224