Search a number
-
+
112142424000 = 2635316672803
BaseRepresentation
bin110100001110000110…
…1011001011111000000
3101201110101202101121010
41220130031121133000
53314131430032000
6123303441200520
711046664606365
oct1503415313700
9351411671533
10112142424000
1143617524a62
1219898330140
13a76231ca09
1455db95446c
152db523ed50
hex1a1c3597c0

112142424000 has 224 divisors, whose sum is σ = 370648601856. Its totient is φ = 29876044800.

The previous prime is 112142423999. The next prime is 112142424013. The reversal of 112142424000 is 424241211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40006599 + ... + 40009401.

Almost surely, 2112142424000 is an apocalyptic number.

112142424000 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 112142424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185324300928).

112142424000 is an abundant number, since it is smaller than the sum of its proper divisors (258506177856).

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

112142424000 is a wasteful number, since it uses less digits than its factorization.

112142424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 112142424000 its reverse (424241211), we get a palindrome (112566665211).

The spelling of 112142424000 in words is "one hundred twelve billion, one hundred forty-two million, four hundred twenty-four thousand".