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112214244144 = 24341457124769
BaseRepresentation
bin110100010000001111…
…1010111101100110000
3101201122101220020022110
41220200133113230300
53314303321303034
6123314524405320
711051526223512
oct1504037275460
9351571806273
10112214244144
1143654019552
12198b83a6840
13a774177b42
1456072cbbb2
152dbb6c9de9
hex1a207d7b30

112214244144 has 80 divisors (see below), whose sum is σ = 297609389280. Its totient is φ = 36412293120.

The previous prime is 112214244053. The next prime is 112214244151. The reversal of 112214244144 is 441442412211.

112214244144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836992 + ... + 961760.

It is an arithmetic number, because the mean of its divisors is an integer number (3720117366).

Almost surely, 2112214244144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112214244144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148804694640).

112214244144 is an abundant number, since it is smaller than the sum of its proper divisors (185395145136).

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

112214244144 is a wasteful number, since it uses less digits than its factorization.

112214244144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125278 (or 125272 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

Adding to 112214244144 its reverse (441442412211), we get a palindrome (553656656355).

The spelling of 112214244144 in words is "one hundred twelve billion, two hundred fourteen million, two hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 457 492 656 914 984 1371 1828 1968 2742 3656 5484 7312 10968 18737 21936 37474 56211 74948 112422 124769 149896 224844 249538 299792 374307 449688 499076 748614 899376 998152 1497228 1996304 2994456 5115529 5988912 10231058 15346587 20462116 30693174 40924232 57019433 61386348 81848464 114038866 122772696 171058299 228077732 245545392 342116598 456155464 684233196 912310928 1368466392 2337796753 2736932784 4675593506 7013390259 9351187012 14026780518 18702374024 28053561036 37404748048 56107122072 112214244144