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112414220240 = 24572471813371
BaseRepresentation
bin110100010110001101…
…0001101111111010000
3101202011100012001221112
41220230122031333100
53320211020021430
6123350430512452
711056505051300
oct1505432157720
9352140161845
10112414220240
1143746995553
1219953365728
13a7a67242aa
145625aa5600
152dce02c195
hex1a2c68dfd0

112414220240 has 240 divisors, whose sum is σ = 312311510784. Its totient is φ = 37502438400.

The previous prime is 112414220207. The next prime is 112414220249. The reversal of 112414220240 is 42022414211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112414220249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33345755 + ... + 33349125.

Almost surely, 2112414220240 is an apocalyptic number.

112414220240 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 112414220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156155755392).

112414220240 is an abundant number, since it is smaller than the sum of its proper divisors (199897290544).

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

112414220240 is a wasteful number, since it uses less digits than its factorization.

112414220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 112414220240 its reverse (42022414211), we get a palindrome (154436634451).

The spelling of 112414220240 in words is "one hundred twelve billion, four hundred fourteen million, two hundred twenty thousand, two hundred forty".