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115067993040 = 2433571113192801
BaseRepresentation
bin110101100101010010…
…1100011101111010000
3102000000021201200212000
41223022211203233100
53341124401234130
6124510030234000
711212330542240
oct1531245435720
9360007650760
10115067993040
1144888978310
121a374055900
13ab0a473960
1457d8303b20
152ed6ed0260
hex1aca963bd0

115067993040 has 1280 divisors, whose sum is σ = 560364134400. Its totient is φ = 20901888000.

The previous prime is 115067993023. The next prime is 115067993057. The reversal of 115067993040 is 40399760511.

115067993040 is a `hidden beast` number, since 1 + 1 + 506 + 79 + 9 + 30 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (115067993023) and next prime (115067993057).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41079640 + ... + 41082440.

It is an arithmetic number, because the mean of its divisors is an integer number (437784480).

Almost surely, 2115067993040 is an apocalyptic number.

115067993040 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 115067993040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280182067200).

115067993040 is an abundant number, since it is smaller than the sum of its proper divisors (445296141360).

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

115067993040 is a wasteful number, since it uses less digits than its factorization.

115067993040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 115067993040 in words is "one hundred fifteen billion, sixty-seven million, nine hundred ninety-three thousand, forty".