Search a number
-
+
447437000842399 is a prime number
BaseRepresentation
bin110010110111100010000101…
…1011111101001110010011111
32011200020120002220100000112201
41211233010023133221302133
5432121301434203424044
64223341415345312331
7163150153664104441
oct14557041337516237
92150216086300481
10447437000842399
1111a626a6a3539a7
12422243563356a7
1316288188683749
147c6c0d0262491
1536adce34a07d4
hex196f10b7e9c9f

447437000842399 has 2 divisors, whose sum is σ = 447437000842400. Its totient is φ = 447437000842398.

The previous prime is 447437000842343. The next prime is 447437000842411. The reversal of 447437000842399 is 993248000734744.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 447437000842399 - 219 = 447437000318111 is a prime.

It is a super-3 number, since 3×4474370008423993 (a number of 45 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 447437000842399.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (447437000842499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 223718500421199 + 223718500421200.

It is an arithmetic number, because the mean of its divisors is an integer number (223718500421200).

Almost surely, 2447437000842399 is an apocalyptic number.

447437000842399 is a deficient number, since it is larger than the sum of its proper divisors (1).

447437000842399 is an equidigital number, since it uses as much as digits as its factorization.

447437000842399 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 146313216, while the sum is 64.

The spelling of 447437000842399 in words is "four hundred forty-seven trillion, four hundred thirty-seven billion, eight hundred forty-two thousand, three hundred ninety-nine".