Search a number
-
+
118165271040 = 2933523239311
BaseRepresentation
bin110111000001100110…
…0101111001000000000
3102022000010210201112000
41232003030233020000
53414000302133130
6130141231504000
711352150142245
oct1560314571000
9368003721460
10118165271040
11461282400a3
121aa99388000
13b1b2057a2b
145a0d7cd5cc
153118d8c260
hex1b8332f200

118165271040 has 640 divisors, whose sum is σ = 441228902400. Its totient is φ = 29918085120.

The previous prime is 118165270999. The next prime is 118165271057. The reversal of 118165271040 is 40172561811.

118165271040 is a `hidden beast` number, since 1 + 1 + 81 + 6 + 527 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 118165270986 and 118165271004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379952485 + ... + 379952795.

It is an arithmetic number, because the mean of its divisors is an integer number (689420160).

Almost surely, 2118165271040 is an apocalyptic number.

118165271040 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 118165271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220614451200).

118165271040 is an abundant number, since it is smaller than the sum of its proper divisors (323063631360).

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

118165271040 is a wasteful number, since it uses less digits than its factorization.

118165271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 118165271040 in words is "one hundred eighteen billion, one hundred sixty-five million, two hundred seventy-one thousand, forty".