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431666631041 is a prime number
BaseRepresentation
bin1100100100000010101…
…01100001000110000001
31112021012120220220100112
412102001111201012001
524033023124143131
6530145510001105
743121046552332
oct6220125410601
91467176826315
10431666631041
11157083617a58
126b7b0346195
1331924098449
1416c6dac8289
15b3669d402b
hex6481561181

431666631041 has 2 divisors, whose sum is σ = 431666631042. Its totient is φ = 431666631040.

The previous prime is 431666631017. The next prime is 431666631059. The reversal of 431666631041 is 140136666134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 315978894400 + 115687736641 = 562120^2 + 340129^2 .

It is a cyclic number.

It is not a de Polignac number, because 431666631041 - 226 = 431599522177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 431666631041.

It is not a weakly prime, because it can be changed into another prime (431666631091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215833315520 + 215833315521.

It is an arithmetic number, because the mean of its divisors is an integer number (215833315521).

Almost surely, 2431666631041 is an apocalyptic number.

It is an amenable number.

431666631041 is a deficient number, since it is larger than the sum of its proper divisors (1).

431666631041 is an equidigital number, since it uses as much as digits as its factorization.

431666631041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 431666631041 in words is "four hundred thirty-one billion, six hundred sixty-six million, six hundred thirty-one thousand, forty-one".