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2242330142832 = 2432134327856417
BaseRepresentation
bin100000101000010101010…
…010101010100001110000
321221100211211202121000100
4200220111102222201300
5243214243004032312
64434040124552400
7321001013506143
oct40502522524160
97840754677010
102242330142832
11794a6a9a98aa
123026b39b2700
131335b2602c30
147a75a7b605a
153d4dc7b15dc
hex20a154aa870

2242330142832 has 120 divisors (see below), whose sum is σ = 6915300055664. Its totient is φ = 673902415872.

The previous prime is 2242330142807. The next prime is 2242330142873. The reversal of 2242330142832 is 2382410332422.

2242330142832 is a `hidden beast` number, since 2 + 2 + 42 + 330 + 1 + 4 + 283 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13847713 + ... + 14008704.

Almost surely, 22242330142832 is an apocalyptic number.

It is an amenable number.

2242330142832 is an abundant number, since it is smaller than the sum of its proper divisors (4672969912832).

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

2242330142832 is a wasteful number, since it uses less digits than its factorization.

2242330142832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27856487 (or 27856478 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 2242330142832 in words is "two trillion, two hundred forty-two billion, three hundred thirty million, one hundred forty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 129 144 156 172 208 234 258 312 344 387 468 516 559 624 688 774 936 1032 1118 1548 1677 1872 2064 2236 3096 3354 4472 5031 6192 6708 8944 10062 13416 20124 26832 40248 80496 27856417 55712834 83569251 111425668 167138502 222851336 250707753 334277004 362133421 445702672 501415506 668554008 724266842 1002831012 1086400263 1197825931 1337108016 1448533684 2005662024 2172800526 2395651862 2897067368 3259200789 3593477793 4011324048 4345601052 4791303724 5794134736 6518401578 7186955586 8691202104 9582607448 10780433379 13036803156 14373911172 15571737103 17382404208 19165214896 21560866758 26073606312 28747822344 31143474206 43121733516 46715211309 52147212624 57495644688 62286948412 86243467032 93430422618 124573896824 140145633927 172486934064 186860845236 249147793648 280291267854 373721690472 560582535708 747443380944 1121165071416 2242330142832