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20414023400 = 2352102070117
BaseRepresentation
bin10011000000110001…
…010100011011101000
31221200200120211120202
4103000301110123220
5313301442222100
613213355211332
71321610223131
oct230061243350
957620524522
1020414023400
118726202a21
123b58746b48
131c043b91b4
14db929ac88
157e729e7d5
hex4c0c546e8

20414023400 has 24 divisors (see below), whose sum is σ = 47462604870. Its totient is φ = 8165609280.

The previous prime is 20414023397. The next prime is 20414023429. The reversal of 20414023400 is 432041402.

It can be written as a sum of positive squares in 3 ways, for example, as 19544599204 + 869424196 = 139802^2 + 29486^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51034859 + ... + 51035258.

Almost surely, 220414023400 is an apocalyptic number.

20414023400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20414023400 is an abundant number, since it is smaller than the sum of its proper divisors (27048581470).

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

20414023400 is a wasteful number, since it uses less digits than its factorization.

20414023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102070133 (or 102070124 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20414023400 its reverse (432041402), we get a palindrome (20846064802).

The spelling of 20414023400 in words is "twenty billion, four hundred fourteen million, twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 102070117 204140234 408280468 510350585 816560936 1020701170 2041402340 2551752925 4082804680 5103505850 10207011700 20414023400