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42165364360 = 2357221512941
BaseRepresentation
bin100111010001010000…
…000110011010001000
311000211120120102222111
4213101100012122020
51142323313124420
631212010032104
73021616453300
oct472120063210
9130746512874
1042165364360
1116978281369
128209118634
133c8c877c52
14207ddd0600
15116bb6145a
hex9d1406688

42165364360 has 48 divisors (see below), whose sum is σ = 110361392460. Its totient is φ = 14456695680.

The previous prime is 42165364327. The next prime is 42165364379. The reversal of 42165364360 is 6346356124.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40467759556 + 1697604804 = 201166^2 + 41202^2 .

It is a super-2 number, since 2×421653643602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10754511 + ... + 10758430.

Almost surely, 242165364360 is an apocalyptic number.

42165364360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42165364360 is an abundant number, since it is smaller than the sum of its proper divisors (68196028100).

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

42165364360 is a wasteful number, since it uses less digits than its factorization.

42165364360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21512966 (or 21512955 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 42165364360 in words is "forty-two billion, one hundred sixty-five million, three hundred sixty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 21512941 43025882 86051764 107564705 150590587 172103528 215129410 301181174 430258820 602362348 752952935 860517640 1054134109 1204724696 1505905870 2108268218 3011811740 4216536436 5270670545 6023623480 8433072872 10541341090 21082682180 42165364360