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430461461340401 is a prime number
BaseRepresentation
bin110000111100000001001111…
…0011111100010000011110001
32002110010201021100212211112112
41201320002132133202003301
5422410140033100343101
64123303133152135105
7156445546204112111
oct14170023637420361
92073121240784475
10430461461340401
11115181753901847
1240342394537495
131562645973007a
147842635769041
1534b74554b36bb
hex187809e7e20f1

430461461340401 has 2 divisors, whose sum is σ = 430461461340402. Its totient is φ = 430461461340400.

The previous prime is 430461461340349. The next prime is 430461461340457. The reversal of 430461461340401 is 104043164164034.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 347677940223376 + 82783521117025 = 18646124^2 + 9098545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-430461461340401 is a prime.

It is not a weakly prime, because it can be changed into another prime (430461461340301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215230730670200 + 215230730670201.

It is an arithmetic number, because the mean of its divisors is an integer number (215230730670201).

Almost surely, 2430461461340401 is an apocalyptic number.

It is an amenable number.

430461461340401 is a deficient number, since it is larger than the sum of its proper divisors (1).

430461461340401 is an equidigital number, since it uses as much as digits as its factorization.

430461461340401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 430461461340401 in words is "four hundred thirty trillion, four hundred sixty-one billion, four hundred sixty-one million, three hundred forty thousand, four hundred one".