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113388732240 = 243572233113523
BaseRepresentation
bin110100110011001111…
…1101011111101010000
3101211200020220102002120
41221212133223331100
53324210003412430
6124031242014240
711122610215200
oct1514637537520
9354606812076
10113388732240
11440a6a8a873
1219b857a7380
13a9005a9104
1456b929a400
152e39876610
hex1a667ebf50

113388732240 has 480 divisors, whose sum is σ = 440467808256. Its totient is φ = 23989109760.

The previous prime is 113388732203. The next prime is 113388732241. The reversal of 113388732240 is 42237883311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 113388732192 and 113388732201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113388732241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8378119 + ... + 8391641.

Almost surely, 2113388732240 is an apocalyptic number.

113388732240 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 113388732240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220233904128).

113388732240 is an abundant number, since it is smaller than the sum of its proper divisors (327079076016).

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

113388732240 is a wasteful number, since it uses less digits than its factorization.

113388732240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13607 (or 13594 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 113388732240 in words is "one hundred thirteen billion, three hundred eighty-eight million, seven hundred thirty-two thousand, two hundred forty".