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42413200401 = 31113193151199
BaseRepresentation
bin100111100000000001…
…100001010000010001
311001110211220211010010
4213200001201100101
51143330234403101
631252342025133
73031016153325
oct474001412021
9131424824103
1042413200401
1116a95167240
1282781181a9
133ccc0106b0
1420a4ca5985
1511837b92d6
hex9e0061411

42413200401 has 32 divisors (see below), whose sum is σ = 66473164800. Its totient is φ = 23714913600.

The previous prime is 42413200391. The next prime is 42413200429. The reversal of 42413200401 is 10400231424.

It is not a de Polignac number, because 42413200401 - 27 = 42413200273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42413201401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802800 + ... + 853998.

It is an arithmetic number, because the mean of its divisors is an integer number (2077286400).

Almost surely, 242413200401 is an apocalyptic number.

It is an amenable number.

42413200401 is a deficient number, since it is larger than the sum of its proper divisors (24059964399).

42413200401 is a wasteful number, since it uses less digits than its factorization.

42413200401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53157.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 42413200401 its reverse (10400231424), we get a palindrome (52813431825).

The spelling of 42413200401 in words is "forty-two billion, four hundred thirteen million, two hundred thousand, four hundred one".

Divisors: 1 3 11 13 33 39 143 429 1931 5793 21241 25103 51199 63723 75309 153597 276133 563189 665587 828399 1689567 1996761 7321457 21964371 98865269 296595807 1087517959 1285248497 3262553877 3855745491 14137733467 42413200401