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4202244134532 = 2232837012006239
BaseRepresentation
bin111101001001101001010…
…001001101011010000100
3112212201201121201020021100
4331021221101031122010
51022322143444301112
612534252335420100
7612413345534313
oct75115121153204
915781647636240
104202244134532
111380186297304
1257a50b084630
1324636802c962
141075654aa27a
157449b4682dc
hex3d26944d684

4202244134532 has 72 divisors (see below), whose sum is σ = 10765660389120. Its totient is φ = 1381896734400.

The previous prime is 4202244134471. The next prime is 4202244134567. The reversal of 4202244134532 is 2354314422024.

4202244134532 is a `hidden beast` number, since 4 + 20 + 224 + 41 + 345 + 32 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 1091469 + ... + 3097707.

It is an arithmetic number, because the mean of its divisors is an integer number (149523060960).

Almost surely, 24202244134532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202244134532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382830194560).

4202244134532 is an abundant number, since it is smaller than the sum of its proper divisors (6563416254588).

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

4202244134532 is a wasteful number, since it uses less digits than its factorization.

4202244134532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007033 (or 2007028 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 4202244134532 its reverse (2354314422024), we get a palindrome (6556558556556).

The spelling of 4202244134532 in words is "four trillion, two hundred two billion, two hundred forty-four million, one hundred thirty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 701 747 996 1402 1494 2103 2804 2988 4206 6309 8412 12618 25236 58183 116366 174549 232732 349098 523647 698196 1047294 2006239 2094588 4012478 6018717 8024956 12037434 18056151 24074868 36112302 72224604 166517837 333035674 499553511 666071348 999107022 1406373539 1498660533 1998214044 2812747078 2997321066 4219120617 5625494156 5994642132 8438241234 12657361851 16876482468 25314723702 50629447404 116729003737 233458007474 350187011211 466916014948 700374022422 1050561033633 1400748044844 2101122067266 4202244134532