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42301110324 = 22311378661161
BaseRepresentation
bin100111011001010101…
…111011100000110100
311001012001000001102210
4213121111323200310
51143113041012244
631233255333420
73025155335154
oct473125734064
9131161001383
1042301110324
1116a37968310
128246681270
133cb1a25bc5
142094048764
151178a274b9
hex9d957b834

42301110324 has 48 divisors (see below), whose sum is σ = 110585716416. Its totient is φ = 12472070400.

The previous prime is 42301110283. The next prime is 42301110367.

42301110324 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42301110324.

It is a congruent number.

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, 4325697 + ... + 4335464.

It is an arithmetic number, because the mean of its divisors is an integer number (2303869092).

Almost surely, 242301110324 is an apocalyptic number.

42301110324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42301110324 is an abundant number, since it is smaller than the sum of its proper divisors (68284606092).

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

42301110324 is a wasteful number, since it uses less digits than its factorization.

42301110324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8661216 (or 8661214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The spelling of 42301110324 in words is "forty-two billion, three hundred one million, one hundred ten thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 8661161 17322322 25983483 34644644 51966966 95272771 103933932 190545542 285818313 320462957 381091084 571636626 640925914 961388871 1143273252 1281851828 1922777742 3525092527 3845555484 7050185054 10575277581 14100370108 21150555162 42301110324