Search a number
-
+
1140729516461 is a prime number
BaseRepresentation
bin10000100110011000110…
…001110001000110101101
311001001102101211120200102
4100212120301301012231
5122142203224011321
62232013252240445
7145262224622333
oct20463061610655
94031371746612
101140729516461
113aa8650895a7
121650b8010125
1383755032a82
143d2d68d3b53
151ea1653ac0b
hex10998c711ad

1140729516461 has 2 divisors, whose sum is σ = 1140729516462. Its totient is φ = 1140729516460.

The previous prime is 1140729516413. The next prime is 1140729516463. The reversal of 1140729516461 is 1646159270411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1043117011561 + 97612504900 = 1021331^2 + 312430^2 .

It is a cyclic number.

It is not a de Polignac number, because 1140729516461 - 210 = 1140729515437 is a prime.

Together with 1140729516463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1140729516463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 570364758230 + 570364758231.

It is an arithmetic number, because the mean of its divisors is an integer number (570364758231).

Almost surely, 21140729516461 is an apocalyptic number.

It is an amenable number.

1140729516461 is a deficient number, since it is larger than the sum of its proper divisors (1).

1140729516461 is an equidigital number, since it uses as much as digits as its factorization.

1140729516461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 1140729516461 in words is "one trillion, one hundred forty billion, seven hundred twenty-nine million, five hundred sixteen thousand, four hundred sixty-one".