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20139141120 = 211357217787
BaseRepresentation
bin10010110000011000…
…101110100000000000
31220222112100100222120
4102300120232200000
5312221110003440
613130215404240
71312031606100
oct226030564000
956875310876
1020139141120
1185a502488a
123aa0683680
131b8c474067
14d90985200
157cd0a2dd0
hex4b062e800

20139141120 has 576 divisors, whose sum is σ = 79458200640. Its totient is φ = 4326948864.

The previous prime is 20139141079. The next prime is 20139141149. The reversal of 20139141120 is 2114193102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25589367 + ... + 25590153.

It is an arithmetic number, because the mean of its divisors is an integer number (137948265).

Almost surely, 220139141120 is an apocalyptic number.

20139141120 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 20139141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39729100320).

20139141120 is an abundant number, since it is smaller than the sum of its proper divisors (59319059520).

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

20139141120 is a wasteful number, since it uses less digits than its factorization.

20139141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 20139141120 in words is "twenty billion, one hundred thirty-nine million, one hundred forty-one thousand, one hundred twenty".