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14314503400 = 235297737861
BaseRepresentation
bin11010101010011010…
…11111110011101000
31100221121021010010121
431111031133303220
5213304003102100
610324225253024
71014504162031
oct152515376350
940847233117
1014314503400
1160861892aa
122935a94174
131471817272
1499b183a88
1558ba5951a
hex35535fce8

14314503400 has 48 divisors (see below), whose sum is σ = 33624371340. Its totient is φ = 5666764800.

The previous prime is 14314503391. The next prime is 14314503403. The reversal of 14314503400 is 430541341.

It can be written as a sum of positive squares in 6 ways, for example, as 2506203844 + 11808299556 = 50062^2 + 108666^2 .

It is a super-2 number, since 2×143145034002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14314503403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349531 + ... + 388330.

Almost surely, 214314503400 is an apocalyptic number.

14314503400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14314503400 is an abundant number, since it is smaller than the sum of its proper divisors (19309867940).

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

14314503400 is a wasteful number, since it uses less digits than its factorization.

14314503400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737974 (or 737965 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 14314503400 in words is "fourteen billion, three hundred fourteen million, five hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 388 485 776 970 1940 2425 3880 4850 9700 19400 737861 1475722 2951444 3689305 5902888 7378610 14757220 18446525 29514440 36893050 71572517 73786100 143145034 147572200 286290068 357862585 572580136 715725170 1431450340 1789312925 2862900680 3578625850 7157251700 14314503400