Search a number
-
+
32401455410449 is a prime number
BaseRepresentation
bin1110101111000000011010…
…01111010110110100010001
311020201112211010201111020201
413113200031033112310101
513221331140041113244
6152525004554535201
76552633161521366
oct727401517266421
9136645733644221
1032401455410449
11a36241a969694
123773751a37501
1315105a09c1368
1480034b41646d
153b2c8233cad4
hex1d780d3d6d11

32401455410449 has 2 divisors, whose sum is σ = 32401455410450. Its totient is φ = 32401455410448.

The previous prime is 32401455410437. The next prime is 32401455410459. The reversal of 32401455410449 is 94401455410423.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26921642600449 + 5479812810000 = 5188607^2 + 2340900^2 .

It is a cyclic number.

It is not a de Polignac number, because 32401455410449 - 217 = 32401455279377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32401455410399 and 32401455410408.

It is not a weakly prime, because it can be changed into another prime (32401455410419) 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, 16200727705224 + 16200727705225.

It is an arithmetic number, because the mean of its divisors is an integer number (16200727705225).

Almost surely, 232401455410449 is an apocalyptic number.

It is an amenable number.

32401455410449 is a deficient number, since it is larger than the sum of its proper divisors (1).

32401455410449 is an equidigital number, since it uses as much as digits as its factorization.

32401455410449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 32401455410449 in words is "thirty-two trillion, four hundred one billion, four hundred fifty-five million, four hundred ten thousand, four hundred forty-nine".