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20424402342 = 233672109773
BaseRepresentation
bin10011000001011000…
…111010010110100110
31221201102010010211000
4103001120322112212
5313312121333332
613214405454130
71322064361341
oct230130722646
957642103730
1020424402342
118731051863
123b60111346
131c065b1396
14dba7dd458
157e814eb7c
hex4c163a5a6

20424402342 has 96 divisors (see below), whose sum is σ = 46557957600. Its totient is φ = 6636396096.

The previous prime is 20424402337. The next prime is 20424402347. The reversal of 20424402342 is 24320442402.

20424402342 is a `hidden beast` number, since 2 + 0 + 424 + 4 + 0 + 234 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20424402337) and next prime (20424402347).

It is a super-2 number, since 2×204244023422 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20424402347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26421868 + ... + 26422640.

It is an arithmetic number, because the mean of its divisors is an integer number (484978725).

Almost surely, 220424402342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20424402342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23278978800).

20424402342 is an abundant number, since it is smaller than the sum of its proper divisors (26133555258).

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

20424402342 is a wasteful number, since it uses less digits than its factorization.

20424402342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 20424402342 its reverse (24320442402), we get a palindrome (44744844744).

The spelling of 20424402342 in words is "twenty billion, four hundred twenty-four million, four hundred two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 67 109 134 201 218 327 402 603 654 773 981 1206 1546 1809 1962 2319 2943 3618 4489 4638 5886 6957 7303 8978 13467 13914 14606 20871 21909 26934 40401 41742 43818 51791 65727 80802 84257 103582 121203 131454 155373 168514 197181 242406 252771 310746 394362 466119 489301 505542 758313 932238 978602 1398357 1467903 1516626 2274939 2796714 2935806 3469997 4403709 4549878 5645219 6939994 8807418 10409991 11290438 13211127 16935657 20819982 26422254 31229973 33871314 50806971 62459946 93689919 101613942 152420913 187379838 304841826 378229673 756459346 1134689019 2269378038 3404067057 6808134114 10212201171 20424402342