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20143104422304 = 253835634490231
BaseRepresentation
bin1001001010001111011101…
…00101010111000110100000
32122022122212120200101012210
410211013232211113012200
510120011034213003204
6110501340414322120
74146201622365033
oct445075645270640
978278776611183
1020143104422304
116466708353646
122313a50ab9340
13b3164308b8b6
144d8d07cb501a
1524de7d3c6389
hex1251ee9571a0

20143104422304 has 96 divisors (see below), whose sum is σ = 53607766270464. Its totient is φ = 6621688298240.

The previous prime is 20143104422297. The next prime is 20143104422317. The reversal of 20143104422304 is 40322440134102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2240869 + ... + 6731099.

It is an arithmetic number, because the mean of its divisors is an integer number (558414231984).

Almost surely, 220143104422304 is an apocalyptic number.

20143104422304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20143104422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26803883135232).

20143104422304 is an abundant number, since it is smaller than the sum of its proper divisors (33464661848160).

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

20143104422304 is a wasteful number, since it uses less digits than its factorization.

20143104422304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490890 (or 4490882 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 20143104422304 its reverse (40322440134102), we get a palindrome (60465544556406).

The spelling of 20143104422304 in words is "twenty trillion, one hundred forty-three billion, one hundred four million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 563 664 996 1126 1328 1689 1992 2252 2656 3378 3984 4504 6756 7968 9008 13512 18016 27024 46729 54048 93458 140187 186916 280374 373832 560748 747664 1121496 1495328 2242992 4485984 4490231 8980462 13470693 17960924 26941386 35921848 53882772 71843696 107765544 143687392 215531088 372689173 431062176 745378346 1118067519 1490756692 2236135038 2528000053 2981513384 4472270076 5056000106 5963026768 7584000159 8944540152 10112000212 11926053536 15168000318 17889080304 20224000424 30336000636 35778160608 40448000848 60672001272 80896001696 121344002544 209824004399 242688005088 419648008798 629472013197 839296017596 1258944026394 1678592035192 2517888052788 3357184070384 5035776105576 6714368140768 10071552211152 20143104422304