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42233342144 = 267103915251
BaseRepresentation
bin100111010101010011…
…011010100011000000
311001000022111001222012
4213111103122203000
51142443213422034
631222435032052
73023403325250
oct472523324300
9131008431865
1042233342144
1116a02691054
128227a3b628
133ca09891a6
142089047960
151172adccce
hex9d54da8c0

42233342144 has 56 divisors (see below), whose sum is σ = 96709187328. Its totient is φ = 17924256000.

The previous prime is 42233342119. The next prime is 42233342191. The reversal of 42233342144 is 44124333224.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 42233342144.

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, 411482 + ... + 503769.

Almost surely, 242233342144 is an apocalyptic number.

It is an amenable number.

42233342144 is an abundant number, since it is smaller than the sum of its proper divisors (54475845184).

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

42233342144 is a wasteful number, since it uses less digits than its factorization.

42233342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915373 (or 915363 counting only the distinct ones).

The product of its digits is 55296, while the sum is 32.

Adding to 42233342144 its reverse (44124333224), we get a palindrome (86357675368).

The spelling of 42233342144 in words is "forty-two billion, two hundred thirty-three million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 206 224 412 448 721 824 1442 1648 2884 3296 5768 6592 11536 23072 46144 915251 1830502 3661004 6406757 7322008 12813514 14644016 25627028 29288032 51254056 58576064 94270853 102508112 188541706 205016224 377083412 410032448 659895971 754166824 1319791942 1508333648 2639583884 3016667296 5279167768 6033334592 10558335536 21116671072 42233342144