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42201232304 = 24711137250031
BaseRepresentation
bin100111010011011000…
…111011001110110000
311000221002001201112212
4213103120323032300
51142412003413204
631215330511252
73022533361460
oct472330731660
9130832051485
1042201232304
111699654a4a0
128219135528
133c97125a9a
142084a89ba0
15116ed98c6e
hex9d363b3b0

42201232304 has 80 divisors (see below), whose sum is σ = 102685142016. Its totient is φ = 16321958400.

The previous prime is 42201232289. The next prime is 42201232331. The reversal of 42201232304 is 40323210224.

It is a self number, because there is not a number n which added to its sum of digits gives 42201232304.

It is an unprimeable number.

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, 43769 + ... + 293799.

Almost surely, 242201232304 is an apocalyptic number.

42201232304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42201232304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51342571008).

42201232304 is an abundant number, since it is smaller than the sum of its proper divisors (60483909712).

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

42201232304 is a wasteful number, since it uses less digits than its factorization.

42201232304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250194 (or 250188 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 42201232304 its reverse (40323210224), we get a palindrome (82524442528).

The spelling of 42201232304 in words is "forty-two billion, two hundred one million, two hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 137 154 176 274 308 548 616 959 1096 1232 1507 1918 2192 3014 3836 6028 7672 10549 12056 15344 21098 24112 42196 84392 168784 250031 500062 1000124 1750217 2000248 2750341 3500434 4000496 5500682 7000868 11001364 14001736 19252387 22002728 28003472 34254247 38504774 44005456 68508494 77009548 137016988 154019096 239779729 274033976 308038192 376796717 479559458 548067952 753593434 959118916 1507186868 1918237832 2637577019 3014373736 3836475664 5275154038 6028747472 10550308076 21100616152 42201232304