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42014404332 = 223259149132757
BaseRepresentation
bin100111001000010000…
…001110111011101100
311000110001111212202100
4213020100032323230
51142021141414312
631145014255100
73015104354505
oct471020167354
9130401455670
1042014404332
111690004390a
128186657490
133c675010a4
142067d35bac
15115d7925dc
hex9c840eeec

42014404332 has 72 divisors (see below), whose sum is σ = 108728802000. Its totient is φ = 13674930048.

The previous prime is 42014404331. The next prime is 42014404339. The reversal of 42014404332 is 23340441024.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42014404296 and 42014404305.

It is not an unprimeable number, because it can be changed into a prime (42014404331) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 250098 + ... + 382854.

It is an arithmetic number, because the mean of its divisors is an integer number (1510122250).

Almost surely, 242014404332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42014404332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54364401000).

42014404332 is an abundant number, since it is smaller than the sum of its proper divisors (66714397668).

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

42014404332 is a wasteful number, since it uses less digits than its factorization.

42014404332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132975 (or 132970 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42014404332 its reverse (23340441024), we get a palindrome (65354845356).

The spelling of 42014404332 in words is "forty-two billion, fourteen million, four hundred four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 149 177 236 298 354 447 531 596 708 894 1062 1341 1788 2124 2682 5364 8791 17582 26373 35164 52746 79119 105492 132757 158238 265514 316476 398271 531028 796542 1194813 1593084 2389626 4779252 7832663 15665326 19780793 23497989 31330652 39561586 46995978 59342379 70493967 79123172 93991956 118684758 140987934 178027137 237369516 281975868 356054274 712108548 1167066787 2334133574 3501200361 4668267148 7002400722 10503601083 14004801444 21007202166 42014404332