Search a number
-
+
112032426240 = 2833571727241
BaseRepresentation
bin110100001010110100…
…1110010100100000000
3101201011201202221001000
41220111221302210000
53313420300114430
6123244511412000
711044160624250
oct1502551624400
9351151687030
10112032426240
1143570425019
1219867524000
13a7455b8697
1455cb0bd960
152daa762e60
hex1a15a72900

112032426240 has 576 divisors, whose sum is σ = 481098078720. Its totient is φ = 24100208640.

The previous prime is 112032426193. The next prime is 112032426353. The reversal of 112032426240 is 42624230211.

112032426240 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 32 + 4 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4099020 + ... + 4126260.

It is an arithmetic number, because the mean of its divisors is an integer number (835239720).

Almost surely, 2112032426240 is an apocalyptic number.

112032426240 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 112032426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240549039360).

112032426240 is an abundant number, since it is smaller than the sum of its proper divisors (369065652480).

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

112032426240 is a wasteful number, since it uses less digits than its factorization.

112032426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27295 (or 27275 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 112032426240 its reverse (42624230211), we get a palindrome (154656656451).

The spelling of 112032426240 in words is "one hundred twelve billion, thirty-two million, four hundred twenty-six thousand, two hundred forty".