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2431068438401 is a prime number
BaseRepresentation
bin100011011000000110111…
…110000111111110000001
322121102000100011102021122
4203120012332013332001
5304312312010012101
65100452321402025
7340432066526501
oct43300676077601
98542010142248
102431068438401
11858012834859
123331a7a99315
13148330717775
1485942d41a01
15433871ee51b
hex23606f87f81

2431068438401 has 2 divisors, whose sum is σ = 2431068438402. Its totient is φ = 2431068438400.

The previous prime is 2431068438371. The next prime is 2431068438473. The reversal of 2431068438401 is 1048348601342.

It is a happy number.

2431068438401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2216453978176 + 214614460225 = 1488776^2 + 463265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2431068438401 is a prime.

It is a super-3 number, since 3×24310684384013 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2431068435401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1215534219200 + 1215534219201.

It is an arithmetic number, because the mean of its divisors is an integer number (1215534219201).

Almost surely, 22431068438401 is an apocalyptic number.

It is an amenable number.

2431068438401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2431068438401 is an equidigital number, since it uses as much as digits as its factorization.

2431068438401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 2431068438401 in words is "two trillion, four hundred thirty-one billion, sixty-eight million, four hundred thirty-eight thousand, four hundred one".