Search a number
-
+
118144960560 = 243451131127421
BaseRepresentation
bin110111000000111111…
…1010000100000110000
3102021221201120211210000
41232001333100200300
53413430102214220
6130135224310000
711351512411104
oct1560177204060
9367851524700
10118144960560
1146117828580
121aa92612300
13b1aaa961b3
145a0ac23904
1531171c9390
hex1b81fd0830

118144960560 has 800 divisors, whose sum is σ = 466822692864. Its totient is φ = 27433728000.

The previous prime is 118144960519. The next prime is 118144960603. The reversal of 118144960560 is 65069441811.

118144960560 is a `hidden beast` number, since 1 + 1 + 81 + 4 + 4 + 9 + 6 + 0 + 560 = 666.

118144960560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 280629150 + ... + 280629570.

Almost surely, 2118144960560 is an apocalyptic number.

118144960560 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 118144960560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233411346432).

118144960560 is an abundant number, since it is smaller than the sum of its proper divisors (348677732304).

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

118144960560 is a wasteful number, since it uses less digits than its factorization.

118144960560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 118144960560 in words is "one hundred eighteen billion, one hundred forty-four million, nine hundred sixty thousand, five hundred sixty".