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20312143414134 = 23111331763671833
BaseRepresentation
bin1001001111001010010100…
…00101111100001101110110
32122220211012012100212221220
410213211022011330031312
510130243232203223014
6111111134142451210
74164334564201065
oct447451205741566
978824165325856
1020312143414134
11652137146a090
122340767893b06
13b44571bab4a0
145031820701dc
152535736936a9
hex12794a17c376

20312143414134 has 64 divisors (see below), whose sum is σ = 49265997355008. Its totient is φ = 5498437190400.

The previous prime is 20312143414099. The next prime is 20312143414177. The reversal of 20312143414134 is 43141434121302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 20312143414095 and 20312143414104.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 381809319 + ... + 381862514.

It is an arithmetic number, because the mean of its divisors is an integer number (769781208672).

Almost surely, 220312143414134 is an apocalyptic number.

20312143414134 is an abundant number, since it is smaller than the sum of its proper divisors (28953853940874).

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

20312143414134 is a wasteful number, since it uses less digits than its factorization.

20312143414134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763671893.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 20312143414134 its reverse (43141434121302), we get a palindrome (63453577535436).

The spelling of 20312143414134 in words is "twenty trillion, three hundred twelve billion, one hundred forty-three million, four hundred fourteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 143 186 286 341 403 429 682 806 858 1023 1209 2046 2418 4433 8866 13299 26598 763671833 1527343666 2291015499 4582030998 8400390163 9927733829 16800780326 19855467658 23673826823 25201170489 29783201487 47347653646 50402340978 59566402974 71021480469 109205072119 142042960938 218410144238 260412095053 307759748699 327615216357 520824190106 615519497398 655230432714 781236285159 923279246097 1562472570318 1846558492194 3385357235689 6770714471378 10156071707067 20312143414134