Search a number
-
+
120494183040 = 27335721117761
BaseRepresentation
bin111000000111000000…
…0110101001010000000
3102112000110001201012000
41300032000311022000
53433233002324130
6131204304304000
711463646441200
oct1601600651200
9375013051160
10120494183040
1147112909160
121b429312000
13b4936b387a
145b90c26400
153203570260
hex1c0e035280

120494183040 has 1536 divisors, whose sum is σ = 574162732800. Its totient is φ = 23533977600.

The previous prime is 120494183039. The next prime is 120494183053. The reversal of 120494183040 is 40381494021.

It is a happy number.

120494183040 is a `hidden beast` number, since 1 + 204 + 9 + 418 + 30 + 4 + 0 = 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 = 120494182986 and 120494183004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158336260 + ... + 158337020.

Almost surely, 2120494183040 is an apocalyptic number.

120494183040 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 120494183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287081366400).

120494183040 is an abundant number, since it is smaller than the sum of its proper divisors (453668549760).

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

120494183040 is a wasteful number, since it uses less digits than its factorization.

120494183040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 120494183040 in words is "one hundred twenty billion, four hundred ninety-four million, one hundred eighty-three thousand, forty".