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118380810240 = 21232571119439
BaseRepresentation
bin110111001000000001…
…0111101000000000000
3102022120011101020201100
41232100002331000000
53414420441411430
6130214451334400
711360405166360
oct1562002750000
9368504336640
10118380810240
1146228976970
121ab395b1400
13b2178c2c14
145a302989a0
15312cc65960
hex1b900bd000

118380810240 has 1248 divisors, whose sum is σ = 539741030400. Its totient is φ = 23250862080.

The previous prime is 118380810239. The next prime is 118380810253. The reversal of 118380810240 is 42018083811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 118380810195 and 118380810204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269659941 + ... + 269660379.

It is an arithmetic number, because the mean of its divisors is an integer number (432484800).

Almost surely, 2118380810240 is an apocalyptic number.

118380810240 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 118380810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269870515200).

118380810240 is an abundant number, since it is smaller than the sum of its proper divisors (421360220160).

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

118380810240 is a wasteful number, since it uses less digits than its factorization.

118380810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

118380810240 divided by its product of nonzero digits (12288) gives a triangular number (9633855 = T4389).

The spelling of 118380810240 in words is "one hundred eighteen billion, three hundred eighty million, eight hundred ten thousand, two hundred forty".