Search a number
-
+
112320024144 = 24341461123803
BaseRepresentation
bin110100010011011001…
…0111000111001010000
3101201220202221102012020
41220212302320321100
53320012411233034
6123333223531440
711054252311146
oct1504662707120
9351822842166
10112320024144
11436a87a8639
12199278b9b80
13a790063463
145617385596
152dc5b22249
hex1a26cb8e50

112320024144 has 80 divisors (see below), whose sum is σ = 297884309184. Its totient is φ = 36447308800.

The previous prime is 112320024119. The next prime is 112320024151. The reversal of 112320024144 is 441420023211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 845347 + ... + 969149.

Almost surely, 2112320024144 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 112320024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148942154592).

112320024144 is an abundant number, since it is smaller than the sum of its proper divisors (185564285040).

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

112320024144 is a wasteful number, since it uses less digits than its factorization.

112320024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124316 (or 124310 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 112320024144 its reverse (441420023211), we get a palindrome (553740047355).

The spelling of 112320024144 in words is "one hundred twelve billion, three hundred twenty million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 461 492 656 922 984 1383 1844 1968 2766 3688 5532 7376 11064 18901 22128 37802 56703 75604 113406 123803 151208 226812 247606 302416 371409 453624 495212 742818 907248 990424 1485636 1980848 2971272 5075923 5942544 10151846 15227769 20303692 30455538 40607384 57073183 60911076 81214768 114146366 121822152 171219549 228292732 243644304 342439098 456585464 684878196 913170928 1369756392 2340000503 2739512784 4680001006 7020001509 9360002012 14040003018 18720004024 28080006036 37440008048 56160012072 112320024144