Search a number
-
+
112324001540224 = 27411391471104677
BaseRepresentation
bin11001100010100001111000…
…001101100010100010000000
3112201201001212210110020022111
4121202201320031202202000
5104210304023343241344
61034520533422145104
732442066316624225
oct3142417015424200
9481631783406274
10112324001540224
1132876383652731
1210721188a22194
134a8a15307c826
141da472144d94c
15cebc12096834
hex662878362880

112324001540224 has 128 divisors (see below), whose sum is σ = 231036572390400. Its totient is φ = 54360507801600.

The previous prime is 112324001540221. The next prime is 112324001540381. The reversal of 112324001540224 is 422045100423211.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (112324001540221) by changing a digit.

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, 1073000974 + ... + 1073105650.

It is an arithmetic number, because the mean of its divisors is an integer number (1804973221800).

Almost surely, 2112324001540224 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 112324001540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115518286195200).

112324001540224 is an abundant number, since it is smaller than the sum of its proper divisors (118712570850176).

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

112324001540224 is a wasteful number, since it uses less digits than its factorization.

112324001540224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106342 (or 106330 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 112324001540224 its reverse (422045100423211), we get a palindrome (534369101963435).

The spelling of 112324001540224 in words is "one hundred twelve trillion, three hundred twenty-four billion, one million, five hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 139 164 278 328 556 656 1112 1312 1471 2224 2624 2942 4448 5248 5699 5884 8896 11398 11768 17792 22796 23536 45592 47072 60311 91184 94144 104677 120622 182368 188288 204469 209354 241244 364736 408938 418708 482488 729472 817876 837416 964976 1635752 1674832 1929952 3271504 3349664 3859904 4291757 6543008 6699328 7719808 8383229 8583514 13086016 13398656 14550103 16766458 17167028 26172032 29100206 33532916 34334056 58200412 67065832 68668112 116400824 134131664 137336224 153979867 232801648 268263328 274672448 307959734 465603296 536526656 549344896 596554223 615919468 931206592 1073053312 1193108446 1231838936 1862413184 2386216892 2463677872 4772433784 4927355744 6313174547 9544867568 9854711488 12626349094 19089735136 19709422976 21403201513 25252698188 38179470272 42806403026 50505396376 76358940544 85612806052 101010792752 171225612104 202021585504 342451224208 404043171008 684902448416 808086342016 877531262033 1369804896832 1755062524066 2739609793664 3510125048132 7020250096264 14040500192528 28081000385056 56162000770112 112324001540224