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400214431320 = 233511303192751
BaseRepresentation
bin1011101001011101010…
…00111001011001011000
31102021000122001121110120
411310232220321121120
523024114343300240
6503504520113240
740625454352134
oct5645650713130
91367018047416
10400214431320
11144803681870
1265693005820
132b980ba9192
14155288603c4
15a625653ad0
hex5d2ea39658

400214431320 has 64 divisors (see below), whose sum is σ = 1309792688640. Its totient is φ = 97021680000.

The previous prime is 400214431297. The next prime is 400214431321. The reversal of 400214431320 is 23134412004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400214431321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151595056 + ... + 151597695.

It is an arithmetic number, because the mean of its divisors is an integer number (20465510760).

Almost surely, 2400214431320 is an apocalyptic number.

400214431320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400214431320 is an abundant number, since it is smaller than the sum of its proper divisors (909578257320).

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

400214431320 is a wasteful number, since it uses less digits than its factorization.

400214431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303192776 (or 303192772 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 400214431320 its reverse (23134412004), we get a palindrome (423348843324).

The spelling of 400214431320 in words is "four hundred billion, two hundred fourteen million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 303192751 606385502 909578253 1212771004 1515963755 1819156506 2425542008 3031927510 3335120261 3638313012 4547891265 6063855020 6670240522 7276626024 9095782530 10005360783 12127710040 13340481044 16675601305 18191565060 20010721566 26680962088 33351202610 36383130120 40021443132 50026803915 66702405220 80042886264 100053607830 133404810440 200107215660 400214431320