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21140928000 = 293253172127
BaseRepresentation
bin10011101100000110…
…001111011000000000
32000120100101102020100
4103230012033120000
5321244034144000
613413443242400
71345614631413
oct235406173000
960510342210
1021140928000
118a69559125
124120079400
131cbbb8866a
141047a39b7a
1583aed8a00
hex4ec18f600

21140928000 has 720 divisors, whose sum is σ = 81525210624. Its totient is φ = 5264179200.

The previous prime is 21140927959. The next prime is 21140928023. The reversal of 21140928000 is 82904112.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 166463937 + ... + 166464063.

Almost surely, 221140928000 is an apocalyptic number.

21140928000 is a gapful number since it is divisible by the number (20) 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 21140928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40762605312).

21140928000 is an abundant number, since it is smaller than the sum of its proper divisors (60384282624).

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

21140928000 is a wasteful number, since it uses less digits than its factorization.

21140928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 21140928000 in words is "twenty-one billion, one hundred forty million, nine hundred twenty-eight thousand".