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112423488186240 = 273257411312769
BaseRepresentation
bin11001100011111110100010…
…000100111110011110000000
3112202001120200012010111021200
4121203332202010332132000
5104213421300433424430
61035034345410221200
732452220561310000
oct3143764204763600
9482046605114250
10112423488186240
1132904596230340
1210738512884800
134a9664940caca
141da947c240000
15cee5d61cb460
hex663fa213e780

112423488186240 has 2880 divisors, whose sum is σ = 511174418554800. Its totient is φ = 22577754931200.

The previous prime is 112423488186227. The next prime is 112423488186257. The reversal of 112423488186240 is 42681884324211.

112423488186240 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 2 + 3 + 4 + 8 + 8 + 1 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 146194392576 + ... + 146194393344.

Almost surely, 2112423488186240 is an apocalyptic number.

112423488186240 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 112423488186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255587209277400).

112423488186240 is an abundant number, since it is smaller than the sum of its proper divisors (398750930368560).

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

112423488186240 is an equidigital number, since it uses as much as digits as its factorization.

112423488186240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 112423488186240 in words is "one hundred twelve trillion, four hundred twenty-three billion, four hundred eighty-eight million, one hundred eighty-six thousand, two hundred forty".