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400243344024 = 233531125127967
BaseRepresentation
bin1011101001100000101…
…11001100001010011000
31102021002122110112020110
411310300113030022120
523024144244002044
6503511431524320
740626255201546
oct5646027141230
91367078415213
10400243344024
11144818a2a367
12656a08296a0
132b986b902a4
141552c628d96
15a627e656b9
hex5d305cc298

400243344024 has 64 divisors (see below), whose sum is σ = 1019614832640. Its totient is φ = 130880880000.

The previous prime is 400243343999. The next prime is 400243344037. The reversal of 400243344024 is 420443342004.

It is a junction number, because it is equal to n+sod(n) for n = 400243343982 and 400243344000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14297289 + ... + 14325255.

It is an arithmetic number, because the mean of its divisors is an integer number (15931481760).

Almost surely, 2400243344024 is an apocalyptic number.

It is an amenable number.

400243344024 is an abundant number, since it is smaller than the sum of its proper divisors (619371488616).

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

400243344024 is a wasteful number, since it uses less digits than its factorization.

400243344024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39280 (or 39276 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 400243344024 its reverse (420443342004), we get a palindrome (820686686028).

The spelling of 400243344024 in words is "four hundred billion, two hundred forty-three million, three hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 11251 22502 27967 33753 45004 55934 67506 83901 90008 111868 135012 167802 223736 270024 335604 596303 671208 1192606 1482251 1788909 2385212 2964502 3577818 4446753 4770424 5929004 7155636 8893506 11858008 14311272 17787012 35574024 314656717 629313434 943970151 1258626868 1887940302 2517253736 3775880604 7551761208 16676806001 33353612002 50030418003 66707224004 100060836006 133414448008 200121672012 400243344024