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242653504481 is a prime number
BaseRepresentation
bin1110000111111101000…
…1101010001111100001
3212012022221101012211122
43201333101222033201
512433423244120411
6303250134422025
723350115520323
oct3417721521741
9765287335748
10242653504481
11939aa639453
123b040201915
1319b61058c1b
14ba5cc5b613
1564a2da99db
hex387f46a3e1

242653504481 has 2 divisors, whose sum is σ = 242653504482. Its totient is φ = 242653504480.

The previous prime is 242653504439. The next prime is 242653504523. The reversal of 242653504481 is 184405356242.

It is a balanced prime because it is at equal distance from previous prime (242653504439) and next prime (242653504523).

It can be written as a sum of positive squares in only one way, i.e., 140355878881 + 102297625600 = 374641^2 + 319840^2 .

It is a cyclic number.

It is not a de Polignac number, because 242653504481 - 26 = 242653504417 is a prime.

It is a super-2 number, since 2×2426535044812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (242653504421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121326752240 + 121326752241.

It is an arithmetic number, because the mean of its divisors is an integer number (121326752241).

Almost surely, 2242653504481 is an apocalyptic number.

It is an amenable number.

242653504481 is a deficient number, since it is larger than the sum of its proper divisors (1).

242653504481 is an equidigital number, since it uses as much as digits as its factorization.

242653504481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 242653504481 in words is "two hundred forty-two billion, six hundred fifty-three million, five hundred four thousand, four hundred eighty-one".