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116840053440 = 263251117297481
BaseRepresentation
bin110110011010000110…
…1011011101011000000
3102011120210011200201200
41230310031123223000
53403242023202230
6125401531501200
711304256032135
oct1546415335300
9364523150650
10116840053440
1145608189540
121a7895b7800
13b0306307c6
1459257c658c
15308c86a160
hex1b3435bac0

116840053440 has 672 divisors, whose sum is σ = 480276164160. Its totient is φ = 25735987200.

The previous prime is 116840053439. The next prime is 116840053487. The reversal of 116840053440 is 44350048611.

116840053440 is a `hidden beast` number, since 1 + 1 + 6 + 84 + 0 + 0 + 534 + 40 = 666.

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 = 116840053395 and 116840053404.

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, 15614500 + ... + 15621980.

Almost surely, 2116840053440 is an apocalyptic number.

116840053440 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 116840053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240138082080).

116840053440 is an abundant number, since it is smaller than the sum of its proper divisors (363436110720).

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

116840053440 is a wasteful number, since it uses less digits than its factorization.

116840053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7561 (or 7548 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 116840053440 in words is "one hundred sixteen billion, eight hundred forty million, fifty-three thousand, four hundred forty".