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117000141720 = 233571123171523
BaseRepresentation
bin110110011110111000…
…0000111101110011000
3102011222221102000120020
41230331300013232120
53404104014013340
6125425451030440
711311241536620
oct1547560075630
9364887360506
10117000141720
114568a591200
121a81313b420
13b0578524b7
14593cb79880
15309b93d9d0
hex1b3dc07b98

117000141720 has 768 divisors, whose sum is σ = 462442659840. Its totient is φ = 23151744000.

The previous prime is 117000141707. The next prime is 117000141761. The reversal of 117000141720 is 27141000711.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 223709379 + ... + 223709901.

It is an arithmetic number, because the mean of its divisors is an integer number (602138880).

Almost surely, 2117000141720 is an apocalyptic number.

117000141720 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 117000141720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231221329920).

117000141720 is an abundant number, since it is smaller than the sum of its proper divisors (345442518120).

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

117000141720 is a wasteful number, since it uses less digits than its factorization.

117000141720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 24.

The spelling of 117000141720 in words is "one hundred seventeen billion, one hundred forty-one thousand, seven hundred twenty".