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400590970304 = 2677911318687
BaseRepresentation
bin1011101010001010001…
…01010001110111000000
31102021222212120202211212
411311011011101313000
523030402242022204
6504010130425252
740641006031340
oct5650505216700
91367885522755
10400590970304
11144987183108
1265779132228
132ba10bc4c05
1415562878d20
15a648730c6e
hex5d45151dc0

400590970304 has 56 divisors (see below), whose sum is σ = 919982960640. Its totient is φ = 169508641536.

The previous prime is 400590970289. The next prime is 400590970309. The reversal of 400590970304 is 403079095004.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400590970309) 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, 5623952 + ... + 5694735.

Almost surely, 2400590970304 is an apocalyptic number.

It is an amenable number.

400590970304 is an abundant number, since it is smaller than the sum of its proper divisors (519391990336).

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

400590970304 is a wasteful number, since it uses less digits than its factorization.

400590970304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11318785 (or 11318775 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The spelling of 400590970304 in words is "four hundred billion, five hundred ninety million, nine hundred seventy thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 448 553 632 1106 1264 2212 2528 4424 5056 8848 17696 35392 11318687 22637374 45274748 79230809 90549496 158461618 181098992 316923236 362197984 633846472 724395968 894176273 1267692944 1788352546 2535385888 3576705092 5070771776 6259233911 7153410184 12518467822 14306820368 25036935644 28613640736 50073871288 57227281472 100147742576 200295485152 400590970304