Search a number
-
+
120425414400 = 2832522090719
BaseRepresentation
bin111000000100111101…
…0011111111100000000
3102111211122122220100100
41300021322133330000
53433112401230100
6131153410322400
711462153063424
oct1601172377400
9374748586310
10120425414400
1147088009275
121b40a289400
13b482386675
145b85a44b84
1531ec4d9400
hex1c09e9ff00

120425414400 has 162 divisors, whose sum is σ = 430548241760. Its totient is φ = 32113428480.

The previous prime is 120425414399. The next prime is 120425414407. The reversal of 120425414400 is 4414524021.

120425414400 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 254 + 1 + 4 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120425414407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 987760 + ... + 1102959.

Almost surely, 2120425414400 is an apocalyptic number.

120425414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120425414400 is an abundant number, since it is smaller than the sum of its proper divisors (310122827360).

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

120425414400 is a wasteful number, since it uses less digits than its factorization.

120425414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090751 (or 2090729 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 120425414400 its reverse (4414524021), we get a palindrome (124839938421).

The spelling of 120425414400 in words is "one hundred twenty billion, four hundred twenty-five million, four hundred fourteen thousand, four hundred".