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42404066442 = 232101162114389
BaseRepresentation
bin100111011111011110…
…101011010010001010
311001110012201202200100
4213133132223102022
51143320420111232
631251414150230
73030545421603
oct473736532212
9131405652610
1042404066442
1116a8aa98811
128275052376
133cca16309a
1420a39a8daa
151182ab2c7c
hex9df7ab48a

42404066442 has 48 divisors (see below), whose sum is σ = 92848827240. Its totient is φ = 13985136000.

The previous prime is 42404066437. The next prime is 42404066447. The reversal of 42404066442 is 24466040424.

42404066442 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 4 + 0 + 6 + 644 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42404066437) and next prime (42404066447).

It can be written as a sum of positive squares in 4 ways, for example, as 42196965561 + 207100881 = 205419^2 + 14391^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42404066397 and 42404066406.

It is not an unprimeable number, because it can be changed into a prime (42404066447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2939784 + ... + 2954172.

Almost surely, 242404066442 is an apocalyptic number.

42404066442 is an abundant number, since it is smaller than the sum of its proper divisors (50444760798).

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

42404066442 is a wasteful number, since it uses less digits than its factorization.

42404066442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16119 (or 16116 counting only the distinct ones).

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

The spelling of 42404066442 in words is "forty-two billion, four hundred four million, sixty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1621 1818 3242 4863 9726 14389 14589 28778 29178 43167 86334 129501 163721 259002 327442 491163 982326 1453289 1473489 2906578 2946978 4359867 8719734 13079601 23324569 26159202 46649138 69973707 139947414 209921121 419842242 2355781469 4711562938 7067344407 14134688814 21202033221 42404066442