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20353512234144 = 2532337324713341
BaseRepresentation
bin1001010000010111010111…
…10111011101110010100000
32200001202222021002200111210
410220023223313131302200
510131432443112443034
6111142135140110120
74200331002312555
oct450135367356240
980052867080453
1020353512234144
11653797004a931
122348792095340
13b484357133cb
14505188354a2c
152546954118e9
hex1282ebdddca0

20353512234144 has 96 divisors (see below), whose sum is σ = 55900393363584. Its totient is φ = 6472127185920.

The previous prime is 20353512234113. The next prime is 20353512234157. The reversal of 20353512234144 is 44143221535302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11533087 + ... + 13180254.

It is an arithmetic number, because the mean of its divisors is an integer number (582295764204).

Almost surely, 220353512234144 is an apocalyptic number.

20353512234144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20353512234144 is an abundant number, since it is smaller than the sum of its proper divisors (35546881129440).

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

20353512234144 is a wasteful number, since it uses less digits than its factorization.

20353512234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24713750 (or 24713742 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 20353512234144 its reverse (44143221535302), we get a palindrome (64496733769446).

The spelling of 20353512234144 in words is "twenty trillion, three hundred fifty-three billion, five hundred twelve million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 373 552 736 746 1104 1119 1492 2208 2238 2984 4476 5968 8579 8952 11936 17158 17904 25737 34316 35808 51474 68632 102948 137264 205896 274528 411792 823584 24713341 49426682 74140023 98853364 148280046 197706728 296560092 395413456 568406843 593120184 790826912 1136813686 1186240368 1705220529 2273627372 2372480736 3410441058 4547254744 6820882116 9094509488 9218076193 13641764232 18189018976 18436152386 27283528464 27654228579 36872304772 54567056928 55308457158 73744609544 110616914316 147489219088 212015752439 221233828632 294978438176 424031504878 442467657264 636047257317 848063009756 884935314528 1272094514634 1696126019512 2544189029268 3392252039024 5088378058536 6784504078048 10176756117072 20353512234144