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230440013022144 = 2639420131274089
BaseRepresentation
bin110100011001010101111111…
…000111100100001111000000
31010012220211221201110022120110
4310121111333013210033000
5220201012121313202034
62134034402554511320
766352512226003212
oct6431257707441700
91105824851408513
10230440013022144
1167475073879542
1221a1899a135540
139b775279cb013
1440c94db3705b2
151b9941846bde9
hexd1957f1e43c0

230440013022144 has 56 divisors (see below), whose sum is σ = 609706993568080. Its totient is φ = 76813195843584.

The previous prime is 230440013022097. The next prime is 230440013022179. The reversal of 230440013022144 is 441220310044032.

230440013022144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180229452 + ... + 181503540.

Almost surely, 2230440013022144 is an apocalyptic number.

230440013022144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230440013022144 is an abundant number, since it is smaller than the sum of its proper divisors (379266980545936).

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

230440013022144 is a wasteful number, since it uses less digits than its factorization.

230440013022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216117 (or 2216107 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 230440013022144 its reverse (441220310044032), we get a palindrome (671660323066176).

The spelling of 230440013022144 in words is "two hundred thirty trillion, four hundred forty billion, thirteen million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 942013 1274089 1884026 2548178 2826039 3768052 3822267 5096356 5652078 7536104 7644534 10192712 11304156 15072208 15289068 20385424 22608312 30144416 30578136 40770848 45216624 60288832 61156272 81541696 90433248 122312544 180866496 244625088 1200208401157 2400416802314 3600625203471 4800833604628 7201250406942 9601667209256 14402500813884 19203334418512 28805001627768 38406668837024 57610003255536 76813337674048 115220006511072 230440013022144