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112568302144 = 2617224672
BaseRepresentation
bin110100011010110010…
…1111111101001000000
3101202120002010020120201
41220311211333221000
53321014441132034
6123414013214544
711063355531544
oct1506545775100
9352502106521
10112568302144
1143815965571
1219996a91454
13a7cc62210c
14563c333a24
152ddc816014
hex1a3597fa40

112568302144 has 63 divisors (see below), whose sum is σ = 237386748873. Its totient is φ = 52951845888.

The previous prime is 112568302141. The next prime is 112568302151. The reversal of 112568302144 is 441203865211.

The square root of 112568302144 is 335512.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 87639681600 + 24928620544 = 296040^2 + 157888^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112568302141) 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 8 ways as a sum of consecutive naturals, for example, 45628399 + ... + 45630865.

Almost surely, 2112568302144 is an apocalyptic number.

112568302144 is the 335512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112568302144

112568302144 is an abundant number, since it is smaller than the sum of its proper divisors (124818446729).

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

112568302144 is an frugal number, since it uses more digits than its factorization.

112568302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 112568302144 in words is "one hundred twelve billion, five hundred sixty-eight million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 2467 4624 4934 9248 9868 18496 19736 39472 41939 78944 83878 157888 167756 335512 671024 712963 1342048 1425926 2684096 2851852 5703704 6086089 11407408 12172178 22814816 24344356 45629632 48688712 97377424 103463513 194754848 206927026 389509696 413854052 827708104 1655416208 1758879721 3310832416 3517759442 6621664832 7035518884 14071037768 28142075536 56284151072 112568302144