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42332644623324 = 22311439173036177
BaseRepresentation
bin10011010000000010101100…
…01111101100001111011100
312112212221221210022120120210
421220001112033230033130
521022034224010421244
6230011203134012420
711626301253146166
oct1150012617541734
9175787853276523
1042332644623324
11125411a03098a0
1248b8425047110
131a80c49bba7a3
14a64ca7851936
154d62812794b9
hex2680563ec3dc

42332644623324 has 48 divisors (see below), whose sum is σ = 107780364308736. Its totient is φ = 12825152505600.

The previous prime is 42332644623319. The next prime is 42332644623331.

It is a happy number.

42332644623324 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35938477 + ... + 37097700.

It is an arithmetic number, because the mean of its divisors is an integer number (2245424256432).

Almost surely, 242332644623324 is an apocalyptic number.

42332644623324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42332644623324 is an abundant number, since it is smaller than the sum of its proper divisors (65447719685412).

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

42332644623324 is a wasteful number, since it uses less digits than its factorization.

42332644623324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73040586 (or 73040584 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 48.

It can be divided in two parts, 4233264 and 4623324, that added together give a palindrome (8856588).

The spelling of 42332644623324 in words is "forty-two trillion, three hundred thirty-two billion, six hundred forty-four million, six hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 4391 8782 13173 17564 26346 48301 52692 96602 144903 193204 289806 579612 73036177 146072354 219108531 292144708 438217062 803397947 876434124 1606795894 2410193841 3213591788 4820387682 9640775364 320701853207 641403706414 962105559621 1282807412828 1924211119242 3527720385277 3848422238484 7055440770554 10583161155831 14110881541108 21166322311662 42332644623324