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400414043431261 is a prime number
BaseRepresentation
bin101101100001011001010100…
…0110100100110000101011101
31221111202012122011000201012101
41123002302220310212011131
5404440340430104300021
63535335401102405101
7150224650162010536
oct13302625064460535
91844665564021171
10400414043431261
11106647707820832
1238aaab10b90791
1314256b61493522
1470c420098b68d
153145a4c888a91
hex16c2ca8d2615d

400414043431261 has 2 divisors, whose sum is σ = 400414043431262. Its totient is φ = 400414043431260.

The previous prime is 400414043431211. The next prime is 400414043431313. The reversal of 400414043431261 is 162134340414004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203053522599225 + 197360520832036 = 14249685^2 + 14048506^2 .

It is a cyclic number.

It is not a de Polignac number, because 400414043431261 - 235 = 400379683692893 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400414043431261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400414043431211) 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, 200207021715630 + 200207021715631.

It is an arithmetic number, because the mean of its divisors is an integer number (200207021715631).

Almost surely, 2400414043431261 is an apocalyptic number.

It is an amenable number.

400414043431261 is a deficient number, since it is larger than the sum of its proper divisors (1).

400414043431261 is an equidigital number, since it uses as much as digits as its factorization.

400414043431261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 400414043431261 its reverse (162134340414004), we get a palindrome (562548383845265).

The spelling of 400414043431261 in words is "four hundred trillion, four hundred fourteen billion, forty-three million, four hundred thirty-one thousand, two hundred sixty-one".