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20214424132 = 2272294997127
BaseRepresentation
bin10010110100110111…
…111010001001000100
31221011210000010212021
4102310313322021010
5312344343033012
613141505132524
71313634525100
oct226467721104
957153003767
1020214424132
118633574051
123b0192a144
131ba1c42416
14d9a980900
157d49c4007
hex4b4dfa244

20214424132 has 72 divisors (see below), whose sum is σ = 42661080000. Its totient is φ = 8346655296.

The previous prime is 20214424127. The next prime is 20214424147. The reversal of 20214424132 is 23142441202.

It is a junction number, because it is equal to n+sod(n) for n = 20214424097 and 20214424106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2832753 + ... + 2839879.

It is an arithmetic number, because the mean of its divisors is an integer number (592515000).

Almost surely, 220214424132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20214424132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21330540000).

20214424132 is an abundant number, since it is smaller than the sum of its proper divisors (22446655868).

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

20214424132 is a wasteful number, since it uses less digits than its factorization.

20214424132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7673 (or 7664 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 20214424132 its reverse (23142441202), we get a palindrome (43356865334).

The spelling of 20214424132 in words is "twenty billion, two hundred fourteen million, four hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 499 812 998 1421 1996 2842 3493 5684 6986 7127 13972 14254 14471 24451 28508 28942 48902 49889 57884 97804 99778 101297 199556 202594 206683 349223 405188 413366 698446 709079 826732 1396892 1418158 1446781 2836316 2893562 3556373 5787124 7112746 10127467 14225492 20254934 24894611 40509868 49789222 99578444 103134817 174262277 206269634 348524554 412539268 697049108 721943719 1443887438 2887774876 5053606033 10107212066 20214424132