Search a number
-
+
132153466415441 is a prime number
BaseRepresentation
bin11110000011000101100000…
…011010111110100101010001
3122022220202012021222210122112
4132003011200122332211101
5114310200244400243231
61145022244144515105
736556526044212332
oct3603054032764521
9568822167883575
10132153466415441
1139120a74615409
12129a428861ba95
1358980315a68b3
14248c394938289
15104293562b92b
hex7831606be951

132153466415441 has 2 divisors, whose sum is σ = 132153466415442. Its totient is φ = 132153466415440.

The previous prime is 132153466415419. The next prime is 132153466415459. The reversal of 132153466415441 is 144514664351231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131994915121216 + 158551294225 = 11488904^2 + 398185^2 .

It is an emirp because it is prime and its reverse (144514664351231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 132153466415441 - 238 = 131878588508497 is a prime.

It is a super-3 number, since 3×1321534664154413 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132153466415441.

It is not a weakly prime, because it can be changed into another prime (132153466412441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66076733207720 + 66076733207721.

It is an arithmetic number, because the mean of its divisors is an integer number (66076733207721).

Almost surely, 2132153466415441 is an apocalyptic number.

It is an amenable number.

132153466415441 is a deficient number, since it is larger than the sum of its proper divisors (1).

132153466415441 is an equidigital number, since it uses as much as digits as its factorization.

132153466415441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4147200, while the sum is 50.

The spelling of 132153466415441 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, four hundred sixty-six million, four hundred fifteen thousand, four hundred forty-one".