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114223793112 = 2333111313128229
BaseRepresentation
bin110101001100001000…
…1001100001111011000
3101220211110012220021000
41222120101030033120
53332412242334422
6124250152145000
711152400136042
oct1523021141730
9356743186230
10114223793112
1144495398420
121a179398160
13aa045b6680
145758150a92
152e87d26cac
hex1a9844c3d8

114223793112 has 256 divisors, whose sum is σ = 375617088000. Its totient is φ = 31705689600.

The previous prime is 114223793107. The next prime is 114223793113. The reversal of 114223793112 is 211397322411.

114223793112 is a `hidden beast` number, since 1 + 1 + 422 + 37 + 93 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114223793113) 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, 4032214 + ... + 4060442.

It is an arithmetic number, because the mean of its divisors is an integer number (1467254250).

Almost surely, 2114223793112 is an apocalyptic number.

114223793112 is a gapful number since it is divisible by the number (12) 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 114223793112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187808544000).

114223793112 is an abundant number, since it is smaller than the sum of its proper divisors (261393294888).

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

114223793112 is a wasteful number, since it uses less digits than its factorization.

114223793112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28399 (or 28389 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The spelling of 114223793112 in words is "one hundred fourteen billion, two hundred twenty-three million, seven hundred ninety-three thousand, one hundred twelve".