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400127296640 = 275625198901
BaseRepresentation
bin1011101001010010111…
…00100000010010000000
31102020210120002201011012
411310221130200102000
523023430041443030
6503452124340052
740623345622151
oct5645134402200
91366716081135
10400127296640
11144769478235
12656699a4628
132b968b1b4b6
141551b05b928
15a61cb91095
hex5d29720480

400127296640 has 32 divisors (see below), whose sum is σ = 956554320060. Its totient is φ = 160050918400.

The previous prime is 400127296627. The next prime is 400127296691. The reversal of 400127296640 is 46692721004.

It can be written as a sum of positive squares in 2 ways, for example, as 368973634624 + 31153662016 = 607432^2 + 176504^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312598811 + ... + 312600090.

Almost surely, 2400127296640 is an apocalyptic number.

400127296640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400127296640 is an abundant number, since it is smaller than the sum of its proper divisors (556427023420).

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

400127296640 is an equidigital number, since it uses as much as digits as its factorization.

400127296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625198920 (or 625198908 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 400127296640 in words is "four hundred billion, one hundred twenty-seven million, two hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 625198901 1250397802 2500795604 3125994505 5001591208 6251989010 10003182416 12503978020 20006364832 25007956040 40012729664 50015912080 80025459328 100031824160 200063648320 400127296640