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14388002500 = 225423992
BaseRepresentation
bin11010110011001011…
…10111111011000100
31101010201120020221111
431121211313323010
5213431312040000
610335412454404
71016356001104
oct153145677304
941121506844
1014388002500
11611371a263
12295661a404
131483b0c661
149a6c37204
15593226cba
hex359977ec4

14388002500 has 45 divisors (see below), whose sum is σ = 31476804667. Its totient is φ = 5752802000.

The previous prime is 14388002477. The next prime is 14388002537. The reversal of 14388002500 is 520088341.

The square root of 14388002500 is 119950.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1128019396 + 13259983104 = 33586^2 + 115152^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5996301 + ... + 5998699.

Almost surely, 214388002500 is an apocalyptic number.

14388002500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14388002500 is the 119950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14388002500

14388002500 is an abundant number, since it is smaller than the sum of its proper divisors (17088802167).

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

14388002500 is an frugal number, since it uses more digits than its factorization.

14388002500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 14388002500 in words is "fourteen billion, three hundred eighty-eight million, two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2399 2500 4798 9596 11995 23990 47980 59975 119950 239900 299875 599750 1199500 1499375 2998750 5755201 5997500 11510402 23020804 28776005 57552010 115104020 143880025 287760050 575520100 719400125 1438800250 2877600500 3597000625 7194001250 14388002500