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1418900900 = 225260123609
BaseRepresentation
bin101010010010010…
…1011010110100100
310122212220122010012
41110210223112210
510401214312100
6352443545352
750106313214
oct12444532644
93585818105
101418900900
11668a2927a
1233722b258
13197c68841
14d6632244
158487a135
hex5492b5a4

1418900900 has 36 divisors (see below), whose sum is σ = 3084268740. Its totient is φ = 566592000.

The previous prime is 1418900897. The next prime is 1418900921. The reversal of 1418900900 is 90098141.

It can be written as a sum of positive squares in 6 ways, for example, as 30891364 + 1388009536 = 5558^2 + 37256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48296 + ... + 71904.

Almost surely, 21418900900 is an apocalyptic number.

1418900900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1418900900 is an abundant number, since it is smaller than the sum of its proper divisors (1665367840).

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

1418900900 is a wasteful number, since it uses less digits than its factorization.

1418900900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24224 (or 24217 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 1418900900 is about 37668.3009969922. The cubic root of 1418900900 is about 1123.7007948420.

The spelling of 1418900900 in words is "one billion, four hundred eighteen million, nine hundred thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 601 1202 2404 3005 6010 12020 15025 23609 30050 47218 60100 94436 118045 236090 472180 590225 1180450 2360900 14189009 28378018 56756036 70945045 141890090 283780180 354725225 709450450 1418900900