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14022912000 = 21135319312
BaseRepresentation
bin11010000111101010…
…01010100000000000
31100012021120201221010
431003311022200000
5212204331141000
610235251400520
71004333533236
oct150365124000
940167521833
1014022912000
115a46628379
1228742b3140
1314262a1886
1497055c956
1557115bd50
hex343d4a800

14022912000 has 576 divisors, whose sum is σ = 50747860800. Its totient is φ = 3428352000.

The previous prime is 14022911999. The next prime is 14022912049. The reversal of 14022912000 is 21922041.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452351985 + ... + 452352015.

It is an arithmetic number, because the mean of its divisors is an integer number (88103925).

Almost surely, 214022912000 is an apocalyptic number.

14022912000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14022912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25373930400).

14022912000 is an abundant number, since it is smaller than the sum of its proper divisors (36724948800).

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

14022912000 is an equidigital number, since it uses as much as digits as its factorization.

14022912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 14022912000 in words is "fourteen billion, twenty-two million, nine hundred twelve thousand".