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20413412340 = 22352575412447
BaseRepresentation
bin10011000000101110…
…111111001111110100
31221200122102210100220
4103000232333033310
5313301313143330
613213334134340
71321602066456
oct230056771764
957618383326
1020413412340
118725925912
123b584b13b0
131c04234019
14db917c2d6
157e71cd710
hex4c0bbf3f4

20413412340 has 96 divisors (see below), whose sum is σ = 57509512704. Its totient is φ = 5410160640.

The previous prime is 20413412329. The next prime is 20413412347. The reversal of 20413412340 is 4321431402.

It is a self number, because there is not a number n which added to its sum of digits gives 20413412340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413412347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8340997 + ... + 8343443.

It is an arithmetic number, because the mean of its divisors is an integer number (599057424).

Almost surely, 220413412340 is an apocalyptic number.

20413412340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20413412340 is an abundant number, since it is smaller than the sum of its proper divisors (37096100364).

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

20413412340 is a wasteful number, since it uses less digits than its factorization.

20413412340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20413412340 its reverse (4321431402), we get a palindrome (24734843742).

The spelling of 20413412340 in words is "twenty billion, four hundred thirteen million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 257 514 541 771 1028 1082 1285 1542 1623 2164 2447 2570 2705 3084 3246 3855 4894 5140 5410 6492 7341 7710 8115 9788 10820 12235 14682 15420 16230 24470 29364 32460 36705 48940 73410 139037 146820 278074 417111 556148 628879 695185 834222 1257758 1323827 1390370 1668444 1886637 2085555 2515516 2647654 2780740 3144395 3773274 3971481 4171110 5295308 6288790 6619135 7546548 7942962 8342220 9433185 12577580 13238270 15885924 18866370 19857405 26476540 37732740 39714810 79429620 340223539 680447078 1020670617 1360894156 1701117695 2041341234 3402235390 4082682468 5103353085 6804470780 10206706170 20413412340