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40400420406 = 23174098271171
BaseRepresentation
bin100101101000000011…
…010111111000110110
310212021120112000000220
4211220003113320312
51130220001423111
630320521115210
72630105623143
oct455003277066
9125246460026
1040400420406
1116151a908a5
1279b6028b06
133a6b010308
141d538413ca
1510b6c2ee06
hex9680d7e36

40400420406 has 64 divisors (see below), whose sum is σ = 85940040960. Its totient is φ = 12617579520.

The previous prime is 40400420393. The next prime is 40400420407. The reversal of 40400420406 is 60402400404.

40400420406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40400420407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34500201 + ... + 34501371.

It is an arithmetic number, because the mean of its divisors is an integer number (1342813140).

Almost surely, 240400420406 is an apocalyptic number.

40400420406 is an abundant number, since it is smaller than the sum of its proper divisors (45539620554).

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

40400420406 is a wasteful number, since it uses less digits than its factorization.

40400420406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429.

The product of its (nonzero) digits is 3072, while the sum is 24.

The spelling of 40400420406 in words is "forty billion, four hundred million, four hundred twenty thousand, four hundred six".

Divisors: 1 2 3 6 17 34 51 102 409 818 827 1171 1227 1654 2342 2454 2481 3513 4962 6953 7026 13906 14059 19907 20859 28118 39814 41718 42177 59721 84354 119442 338243 478939 676486 957878 968417 1014729 1436817 1936834 2029458 2873634 2905251 5750131 5810502 8141963 11500262 16283926 16463089 17250393 24425889 32926178 34500786 48851778 49389267 98778534 396082553 792165106 1188247659 2376495318 6733403401 13466806802 20200210203 40400420406