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117250461440 = 28573299209
BaseRepresentation
bin110110100110010101…
…1000000111100000000
3102012122101102120122222
41231030223000330000
53410112104231230
6125510352150212
711320401323000
oct1551453007400
9365571376588
10117250461440
11457a8913102
121a882b38368
13b097677588
1459640da000
1530b38d76e5
hex1b4cac0f00

117250461440 has 288 divisors, whose sum is σ = 338854320000. Its totient is φ = 38809731072.

The previous prime is 117250461413. The next prime is 117250461451. The reversal of 117250461440 is 44164052711.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 117250461440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12727556 + ... + 12736764.

It is an arithmetic number, because the mean of its divisors is an integer number (1176577500).

Almost surely, 2117250461440 is an apocalyptic number.

117250461440 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 117250461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169427160000).

117250461440 is an abundant number, since it is smaller than the sum of its proper divisors (221603858560).

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

117250461440 is an frugal number, since it uses more digits than its factorization.

117250461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9280 (or 9252 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 117250461440 in words is "one hundred seventeen billion, two hundred fifty million, four hundred sixty-one thousand, four hundred forty".