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20444037120 = 2143551379
BaseRepresentation
bin10011000010100011…
…110100000000000000
31221202210001200200000
4103002203310000000
5313332133141440
613220350400000
71322423306523
oct230243640000
957683050600
1020444037120
118741142751
123b66800000
131c0a6974b0
14dbd270bba
157e9c2c730
hex4c28f4000

20444037120 has 720 divisors, whose sum is σ = 80150703360. Its totient is φ = 4968677376.

The previous prime is 20444037101. The next prime is 20444037149. The reversal of 20444037120 is 2173044402.

20444037120 is a `hidden beast` number, since 204 + 440 + 3 + 7 + 12 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 258785241 + ... + 258785319.

Almost surely, 220444037120 is an apocalyptic number.

20444037120 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 20444037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40075351680).

20444037120 is an abundant number, since it is smaller than the sum of its proper divisors (59706666240).

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

20444037120 is an frugal number, since it uses more digits than its factorization.

20444037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 20444037120 in words is "twenty billion, four hundred forty-four million, thirty-seven thousand, one hundred twenty".