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117819229440 = 2835112435897
BaseRepresentation
bin110110110111010010…
…0101100010100000000
3102021010000122222200110
41231232210230110000
53412243210320230
6130043030551320
711340445632513
oct1555644542400
9367100588613
10117819229440
1145a6a979a00
121aa01508540
13b1584594a3
1459b9872d7a
1530e87d64b0
hex1b6e92c500

117819229440 has 432 divisors, whose sum is σ = 423293137344. Its totient is φ = 27893268480.

The previous prime is 117819229427. The next prime is 117819229469. The reversal of 117819229440 is 44922918711.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 117819229440.

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, 19976572 + ... + 19982468.

Almost surely, 2117819229440 is an apocalyptic number.

117819229440 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 117819229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211646568672).

117819229440 is an abundant number, since it is smaller than the sum of its proper divisors (305473907904).

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

117819229440 is a wasteful number, since it uses less digits than its factorization.

117819229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986 (or 5961 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 117819229440 in words is "one hundred seventeen billion, eight hundred nineteen million, two hundred twenty-nine thousand, four hundred forty".