Search a number
-
+
118142747520 = 27357211311113
BaseRepresentation
bin110111000000111011…
…0110100001110000000
3102021221120102102001120
41232001312310032000
53413424020410040
6130135105032240
711351454533100
oct1560166641600
9367846372046
10118142747520
1146116556916
121aa91925680
13b1aa49cac5
145a0a809200
153116ddd7d0
hex1b81db4380

118142747520 has 384 divisors, whose sum is σ = 441978884640. Its totient is φ = 26762674176.

The previous prime is 118142747467. The next prime is 118142747521. The reversal of 118142747520 is 25747241811.

It is a happy number.

118142747520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118142747521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10625484 + ... + 10636596.

Almost surely, 2118142747520 is an apocalyptic number.

118142747520 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 118142747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220989442320).

118142747520 is an abundant number, since it is smaller than the sum of its proper divisors (323836137120).

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

118142747520 is a wasteful number, since it uses less digits than its factorization.

118142747520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11262 (or 11243 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The spelling of 118142747520 in words is "one hundred eighteen billion, one hundred forty-two million, seven hundred forty-seven thousand, five hundred twenty".