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20413114112 = 283141431459
BaseRepresentation
bin10011000000101101…
…110110011100000000
31221200121212122021102
4103000231312130000
5313301224122422
613213323513532
71321566415136
oct230055663400
957617778242
1020413114112
118725741846
123b583888a8
131c0415b361
14db9101756
157e7170192
hex4c0b76700

20413114112 has 144 divisors (see below), whose sum is σ = 44119004160. Its totient is φ = 9405849600.

The previous prime is 20413114103. The next prime is 20413114133. The reversal of 20413114112 is 21141131402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13990439 + ... + 13991897.

Almost surely, 220413114112 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 20413114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22059502080).

20413114112 is an abundant number, since it is smaller than the sum of its proper divisors (23705890048).

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

20413114112 is a wasteful number, since it uses less digits than its factorization.

20413114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 20413114112 its reverse (21141131402), we get a palindrome (41554245514).

The spelling of 20413114112 in words is "twenty billion, four hundred thirteen million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 41 43 62 64 82 86 124 128 164 172 248 256 328 344 496 656 688 992 1271 1312 1333 1376 1459 1763 1984 2542 2624 2666 2752 2918 3526 3968 5084 5248 5332 5504 5836 7052 7936 10168 10496 10664 11008 11672 14104 20336 21328 23344 28208 40672 42656 45229 46688 54653 56416 59819 62737 81344 85312 90458 93376 109306 112832 119638 125474 162688 170624 180916 186752 218612 225664 239276 250948 325376 341248 361832 373504 437224 451328 478552 501896 723664 874448 957104 1003792 1447328 1748896 1854389 1914208 1944847 2007584 2572217 2894656 3497792 3708778 3828416 3889694 4015168 5144434 5789312 6995584 7417556 7656832 7779388 8030336 10288868 11578624 13991168 14835112 15313664 15558776 16060672 20577736 29670224 31117552 41155472 59340448 62235104 79738727 82310944 118680896 124470208 159477454 164621888 237361792 248940416 318954908 329243776 474723584 497880832 637909816 658487552 1275819632 2551639264 5103278528 10206557056 20413114112