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230047405416353 = 731783947023217
BaseRepresentation
bin110100010011101000010101…
…111000011001111110100001
31010011112022120012222111000202
4310103220111320121332201
5220123044041241310403
62133134152531154545
766312243106265000
oct6423502570317641
91104468505874022
10230047405416353
1167333614041348
122197488a745a55
139b494b9a73345
1440b44d4cacc37
151b8e0daa4c688
hexd13a15e19fa1

230047405416353 has 32 divisors (see below), whose sum is σ = 284396422464000. Its totient is φ = 185363260357632.

The previous prime is 230047405416329. The next prime is 230047405416407. The reversal of 230047405416353 is 353614504740032.

230047405416353 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230047405416353 - 212 = 230047405412257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230047405416298 and 230047405416307.

It is not an unprimeable number, because it can be changed into a prime (230047405412353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18619400 + ... + 28403817.

It is an arithmetic number, because the mean of its divisors is an integer number (8887388202000).

Almost surely, 2230047405416353 is an apocalyptic number.

It is an amenable number.

230047405416353 is a deficient number, since it is larger than the sum of its proper divisors (54349017047647).

230047405416353 is an equidigital number, since it uses as much as digits as its factorization.

230047405416353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47024094 (or 47024080 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 47.

The spelling of 230047405416353 in words is "two hundred thirty trillion, forty-seven billion, four hundred five million, four hundred sixteen thousand, three hundred fifty-three".

Divisors: 1 7 17 49 119 343 833 839 5831 5873 14263 41111 99841 287777 698887 4892209 47023217 329162519 799394689 2304137633 5595762823 16128963431 39170339761 39452479063 274192378327 276167353441 670692144071 1933171474087 4694845008497 13532200318609 32863915059479 230047405416353