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14214600320 = 275171306489
BaseRepresentation
bin11010011110100000…
…11001011010000000
31100200122021111212112
431033100121122000
5213102414202240
610310300114452
71012152052304
oct151720313200
940618244775
1014214600320
116034853678
122908535a28
131456c0890b
1498bbb9d04
15582dc3665
hex34f419680

14214600320 has 64 divisors (see below), whose sum is σ = 35980734600. Its totient is φ = 5351374848.

The previous prime is 14214600313. The next prime is 14214600373. The reversal of 14214600320 is 2300641241.

It can be written as a sum of positive squares in 4 ways, for example, as 14214362176 + 238144 = 119224^2 + 488^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642365 + ... + 664124.

Almost surely, 214214600320 is an apocalyptic number.

14214600320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14214600320 is an abundant number, since it is smaller than the sum of its proper divisors (21766134280).

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

14214600320 is a wasteful number, since it uses less digits than its factorization.

14214600320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306525 (or 1306513 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The spelling of 14214600320 in words is "fourteen billion, two hundred fourteen million, six hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 1306489 2612978 5225956 6532445 10451912 13064890 20903824 22210313 26129780 41807648 44420626 52259560 83615296 88841252 104519120 111051565 167230592 177682504 209038240 222103130 355365008 418076480 444206260 710730016 836152960 888412520 1421460032 1776825040 2842920064 3553650080 7107300160 14214600320