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20142424134 = 23271946118251
BaseRepresentation
bin10010110000100101…
…010000000001000110
31220222202112011102200
4102300211100001012
5312222430033014
613130414015330
71312101531420
oct226045200106
956882464380
1020142424134
1185a6967418
123aa17a7546
131b90053481
14d9119b810
157cd500a09
hex4b0950046

20142424134 has 96 divisors (see below), whose sum is σ = 52618325760. Its totient is φ = 5439960000.

The previous prime is 20142424103. The next prime is 20142424213. The reversal of 20142424134 is 43142424102.

20142424134 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 242 + 413 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20142424098 and 20142424107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1094509 + ... + 1112759.

It is an arithmetic number, because the mean of its divisors is an integer number (548107560).

Almost surely, 220142424134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20142424134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26309162880).

20142424134 is an abundant number, since it is smaller than the sum of its proper divisors (32475901626).

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

20142424134 is a wasteful number, since it uses less digits than its factorization.

20142424134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18746 (or 18743 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20142424134 its reverse (43142424102), we get a palindrome (63284848236).

The spelling of 20142424134 in words is "twenty billion, one hundred forty-two million, four hundred twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 461 798 922 1197 1383 2394 2766 3227 4149 6454 8298 8759 9681 17518 18251 19362 26277 29043 36502 52554 54753 58086 61313 78831 109506 122626 127757 157662 164259 183939 255514 328518 346769 367878 383271 551817 693538 766542 1040307 1103634 1149813 2080614 2299626 2427383 3120921 4854766 6241842 7282149 8413711 14564298 16827422 21846447 25241133 43692894 50482266 58895977 75723399 117791954 151446798 159860509 176687931 319721018 353375862 479581527 530063793 959163054 1060127586 1119023563 1438744581 2238047126 2877489162 3357070689 6714141378 10071212067 20142424134