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112144214340 = 223354110349177
BaseRepresentation
bin110100001110001010…
…0001110100101000100
3101201110112010100111000
41220130110032211010
53314132404324330
6123303543413300
711050016044134
oct1503424164504
9351415110430
10112144214340
1143618538084
1219898a54230
13a7627c88a2
1455dbc9cac4
152db5495560
hex1a1c50e944

112144214340 has 192 divisors, whose sum is σ = 360879966720. Its totient is φ = 28891883520.

The previous prime is 112144214339. The next prime is 112144214341. The reversal of 112144214340 is 43412441211.

112144214340 is a `hidden beast` number, since 11 + 214 + 4 + 2 + 1 + 434 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112144214339) and next prime (112144214341).

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

It is not an unprimeable number, because it can be changed into a prime (112144214341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2255832 + ... + 2305008.

It is an arithmetic number, because the mean of its divisors is an integer number (1879583160).

Almost surely, 2112144214340 is an apocalyptic number.

112144214340 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 112144214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180439983360).

112144214340 is an abundant number, since it is smaller than the sum of its proper divisors (248735752380).

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

112144214340 is a wasteful number, since it uses less digits than its factorization.

112144214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49339 (or 49331 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 112144214340 its reverse (43412441211), we get a palindrome (155556655551).

The spelling of 112144214340 in words is "one hundred twelve billion, one hundred forty-four million, two hundred fourteen thousand, three hundred forty".