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117059394240 = 26335172334651
BaseRepresentation
bin110110100000101001…
…0001001101011000000
3102012011001220100202000
41231001102021223000
53404214201103430
6125435405024000
711312561301525
oct1550122115300
9365131810660
10117059394240
114570aa81528
121a82ab55000
13b066bca169
1459469a114c
1530a1c44e60
hex1b41489ac0

117059394240 has 448 divisors, whose sum is σ = 456275358720. Its totient is φ = 28101427200.

The previous prime is 117059394239. The next prime is 117059394241. The reversal of 117059394240 is 42493950711.

117059394240 is a `hidden beast` number, since 1 + 17 + 0 + 5 + 9 + 394 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (117059394239) and next prime (117059394241).

It is a super-3 number, since 3×1170593942403 (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (117059394241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3360915 + ... + 3395565.

Almost surely, 2117059394240 is an apocalyptic number.

117059394240 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 117059394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228137679360).

117059394240 is an abundant number, since it is smaller than the sum of its proper divisors (339215964480).

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

117059394240 is a wasteful number, since it uses less digits than its factorization.

117059394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34717 (or 34701 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 117059394240 in words is "one hundred seventeen billion, fifty-nine million, three hundred ninety-four thousand, two hundred forty".