Search a number
-
+
120423934224 = 243311291098017
BaseRepresentation
bin111000000100111010…
…0110110100100010000
3102111211112212200221000
41300021310312210100
53433112011343344
6131153314502000
711462134360146
oct1601164664420
9374745780830
10120423934224
1147087198190
121b409894900
13b481c88a19
145b8577b596
1531ec2e5a69
hex1c09d36910

120423934224 has 320 divisors, whose sum is σ = 393715872000. Its totient is φ = 34906152960.

The previous prime is 120423934217. The next prime is 120423934247. The reversal of 120423934224 is 422439324021.

120423934224 is a `hidden beast` number, since 1 + 2 + 0 + 42 + 393 + 4 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 15017064 + ... + 15025080.

It is an arithmetic number, because the mean of its divisors is an integer number (1230362100).

Almost surely, 2120423934224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120423934224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196857936000).

120423934224 is an abundant number, since it is smaller than the sum of its proper divisors (273291937776).

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

120423934224 is a wasteful number, since it uses less digits than its factorization.

120423934224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8183 (or 8171 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 120423934224 in words is "one hundred twenty billion, four hundred twenty-three million, nine hundred thirty-four thousand, two hundred twenty-four".