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117414887040 = 27335115571109
BaseRepresentation
bin110110101011001111…
…0001111111010000000
3102020001211211021012000
41231112132033322000
53410431202341130
6125534544304000
711324436033633
oct1552636177200
9366054737160
10117414887040
1145882708530
121a90a012000
13b0c2757529
14597bc9bc1a
1530c3066260
hex1b5678fe80

117414887040 has 512 divisors, whose sum is σ = 454872672000. Its totient is φ = 28387491840.

The previous prime is 117414887033. The next prime is 117414887077. The reversal of 117414887040 is 40788414711.

117414887040 is a `hidden beast` number, since 117 + 414 + 8 + 87 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105874006 + ... + 105875114.

Almost surely, 2117414887040 is an apocalyptic number.

117414887040 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 117414887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227436336000).

117414887040 is an abundant number, since it is smaller than the sum of its proper divisors (337457784960).

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

117414887040 is a wasteful number, since it uses less digits than its factorization.

117414887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 117414887040 in words is "one hundred seventeen billion, four hundred fourteen million, eight hundred eighty-seven thousand, forty".