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20413231344 = 24321182715583
BaseRepresentation
bin10011000000101110…
…010011000011110000
31221200122002121002100
4103000232103003300
5313301241400334
613213330220400
71321600414002
oct230056230360
957618077070
1020413231344
118725811930
123b58424700
131c0419c81c
14db9132372
157e7194c99
hex4c0b930f0

20413231344 has 120 divisors (see below), whose sum is σ = 62401577472. Its totient is φ = 6177951360.

The previous prime is 20413231313. The next prime is 20413231379. The reversal of 20413231344 is 44313231402.

20413231344 is a `hidden beast` number, since 204 + 1 + 323 + 134 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1302177 + ... + 1317759.

Almost surely, 220413231344 is an apocalyptic number.

20413231344 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 20413231344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31200788736).

20413231344 is an abundant number, since it is smaller than the sum of its proper divisors (41988346128).

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

20413231344 is a wasteful number, since it uses less digits than its factorization.

20413231344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16435 (or 16426 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20413231344 its reverse (44313231402), we get a palindrome (64726462746).

The spelling of 20413231344 in words is "twenty billion, four hundred thirteen million, two hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 827 1584 1654 2481 3308 4962 6616 7443 9097 9924 13232 14886 15583 18194 19848 27291 29772 31166 36388 39696 46749 54582 59544 62332 72776 81873 93498 109164 119088 124664 140247 145552 163746 171413 186996 218328 249328 280494 327492 342826 373992 436656 514239 560988 654984 685652 747984 1028478 1121976 1309968 1371304 1542717 2056956 2243952 2742608 3085434 4113912 6170868 8227824 12341736 12887141 24683472 25774282 38661423 51548564 77322846 103097128 115984269 141758551 154645692 206194256 231968538 283517102 309291384 425275653 463937076 567034204 618582768 850551306 927874152 1134068408 1275826959 1701102612 1855748304 2268136816 2551653918 3402205224 5103307836 6804410448 10206615672 20413231344