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42404222466 = 233883889313
BaseRepresentation
bin100111011111011111…
…010001011000000010
311001110020000200201000
4213133133101120002
51143320440104331
631251421352430
73030546641514
oct473737213002
9131406020630
1042404222466
1116a90094a61
128275108716
133cca1b90c8
1420a3a09bb4
151182ae40e6
hex9df7d1602

42404222466 has 32 divisors (see below), whose sum is σ = 94338429120. Its totient is φ = 14118717312.

The previous prime is 42404222461. The next prime is 42404222467. The reversal of 42404222466 is 66422240424.

42404222466 is a `hidden beast` number, since 4 + 2 + 404 + 2 + 2 + 246 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42404222466.

It is not an unprimeable number, because it can be changed into a prime (42404222461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396975 + ... + 492338.

It is an arithmetic number, because the mean of its divisors is an integer number (2948075910).

Almost surely, 242404222466 is an apocalyptic number.

42404222466 is an abundant number, since it is smaller than the sum of its proper divisors (51934206654).

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

42404222466 is a wasteful number, since it uses less digits than its factorization.

42404222466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890207 (or 890201 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 42404222466 in words is "forty-two billion, four hundred four million, two hundred twenty-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 883 1766 2649 5298 7947 15894 23841 47682 889313 1778626 2667939 5335878 8003817 16007634 24011451 48022902 785263379 1570526758 2355790137 4711580274 7067370411 14134740822 21202111233 42404222466