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42334444443324 = 22311320715488207
BaseRepresentation
bin10011010000000110000011…
…00001011101011010111100
312112220010121012222220110210
421220003001201131122330
521022101420234141244
6230012101510232420
711626363666313625
oct1150030141353274
9175803535886423
1042334444443324
1112541a34260240
1248b8847955710
131a81175a46937
14a64dd88bca4c
154d63392994b9
hex2680c185d6bc

42334444443324 has 24 divisors (see below), whose sum is σ = 107760404037888. Its totient is φ = 12828619528240.

The previous prime is 42334444443301. The next prime is 42334444443341.

42334444443324 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 7 ways as a sum of consecutive naturals, for example, 160357743972 + ... + 160357744235.

It is an arithmetic number, because the mean of its divisors is an integer number (4490016834912).

Almost surely, 242334444443324 is an apocalyptic number.

42334444443324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42334444443324 is an abundant number, since it is smaller than the sum of its proper divisors (65425959594564).

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

42334444443324 is a wasteful number, since it uses less digits than its factorization.

42334444443324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320715488225 (or 320715488223 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 48.

It can be divided in two parts, 4233444 and 4443324, that added together give a palindrome (8676768).

The spelling of 42334444443324 in words is "forty-two trillion, three hundred thirty-four billion, four hundred forty-four million, four hundred forty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 320715488207 641430976414 962146464621 1282861952828 1924292929242 3527870370277 3848585858484 7055740740554 10583611110831 14111481481108 21167222221662 42334444443324