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117401519040 = 26351355716889
BaseRepresentation
bin110110101010110101…
…1010000001111000000
3102020000220200002201220
41231111223100033000
53410414242102130
6125533345555040
711324214306111
oct1552553201700
9366026602656
10117401519040
11458761079a3
121a905645a80
13b0bca56980
14597a1bc208
1530c1cc5410
hex1b55ad03c0

117401519040 has 224 divisors, whose sum is σ = 402167384640. Its totient is φ = 28845244416.

The previous prime is 117401519021. The next prime is 117401519041. The reversal of 117401519040 is 40915104711.

It is a junction number, because it is equal to n+sod(n) for n = 117401518992 and 117401519010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117401519041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6942916 + ... + 6959804.

It is an arithmetic number, because the mean of its divisors is an integer number (1795390110).

Almost surely, 2117401519040 is an apocalyptic number.

117401519040 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 117401519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201083692320).

117401519040 is an abundant number, since it is smaller than the sum of its proper divisors (284765865600).

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

117401519040 is a wasteful number, since it uses less digits than its factorization.

117401519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17479 (or 17469 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 117401519040 in words is "one hundred seventeen billion, four hundred one million, five hundred nineteen thousand, forty".