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139992914880 = 263257133117231
BaseRepresentation
bin1000001001100000111…
…0100101101111000000
3111101100100100220210100
42002120032211233000
54243201141234010
6144151210002400
713054104066660
oct2023016455700
9441310326710
10139992914880
1154409394a75
122316b416400
1310280281110
146ac07061a0
1539952c22c0
hex20983a5bc0

139992914880 has 672 divisors, whose sum is σ = 611789488128. Its totient is φ = 28582502400.

The previous prime is 139992914857. The next prime is 139992914951. The reversal of 139992914880 is 88419299931.

139992914880 is a `hidden beast` number, since 1 + 399 + 9 + 29 + 148 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8115865 + ... + 8133095.

It is an arithmetic number, because the mean of its divisors is an integer number (910401024).

Almost surely, 2139992914880 is an apocalyptic number.

139992914880 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 139992914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305894744064).

139992914880 is an abundant number, since it is smaller than the sum of its proper divisors (471796573248).

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

139992914880 is a wasteful number, since it uses less digits than its factorization.

139992914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17305 (or 17292 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 139992914880 in words is "one hundred thirty-nine billion, nine hundred ninety-two million, nine hundred fourteen thousand, eight hundred eighty".