Search a number
-
+
112410342444032 = 2102571181361679
BaseRepresentation
bin11001100011110010010010…
…100001111100110000000000
3112202000022202001002121002122
4121203302102201330300000
5104213212340131202112
61035024333131303412
732451244035324653
oct3143622241746000
9482008661077078
10112410342444032
11328a9a5a861686
1210735a642aab68
134a95332aa0219
141da89923b789a
15cee0b708b872
hex663c9287cc00

112410342444032 has 88 divisors (see below), whose sum is σ = 225776907005760. Its totient is φ = 55938913402880.

The previous prime is 112410342443999. The next prime is 112410342444073. The reversal of 112410342444032 is 230444243014211.

It is a junction number, because it is equal to n+sod(n) for n = 112410342443983 and 112410342444001.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 310620569 + ... + 310982247.

It is an arithmetic number, because the mean of its divisors is an integer number (2565646670520).

Almost surely, 2112410342444032 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 112410342444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112888453502880).

112410342444032 is an abundant number, since it is smaller than the sum of its proper divisors (113366564561728).

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

112410342444032 is a wasteful number, since it uses less digits than its factorization.

112410342444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363137 (or 363119 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 112410342444032 its reverse (230444243014211), we get a palindrome (342854585458243).

The spelling of 112410342444032 in words is "one hundred twelve trillion, four hundred ten billion, three hundred forty-two million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 257 512 514 1024 1028 1181 2056 2362 4112 4724 8224 9448 16448 18896 32896 37792 65792 75584 131584 151168 263168 302336 303517 361679 604672 607034 723358 1209344 1214068 1446716 2428136 2893432 4856272 5786864 9712544 11573728 19425088 23147456 38850176 46294912 77700352 92589824 92951503 155400704 185179648 185903006 310801408 370359296 371806012 427142899 743612024 854285798 1487224048 1708571596 2974448096 3417143192 5948896192 6834286384 11897792384 13668572768 23795584768 27337145536 47591169536 54674291072 95182339072 109348582144 109775725043 218697164288 219551450086 437394328576 439102900172 878205800344 1756411600688 3512823201376 7025646402752 14051292805504 28102585611008 56205171222016 112410342444032