Search a number
-
+
444520142205557 = 11212863812855857
BaseRepresentation
bin110010100010010011110100…
…1001010111111001001110101
32011021220201012000012121020012
41211010213221022333021311
5431231004222401034212
64213225422325550005
7162426343341553205
oct14504475112771165
92137821160177205
10444520142205557
11119701a2a727a00
1241a32b94275305
13161060b9a36822
147baac653c8405
15365cec7de4922
hex19449e92bf275

444520142205557 has 12 divisors (see below), whose sum is σ = 488605335325548. Its totient is φ = 404108764540800.

The previous prime is 444520142205481. The next prime is 444520142205563. The reversal of 444520142205557 is 755502241025444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 403155358255441 + 41364783950116 = 20078729^2 + 6431546^2 .

It is not a de Polignac number, because 444520142205557 - 214 = 444520142189173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444520142205757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154224173 + ... + 157080029.

It is an arithmetic number, because the mean of its divisors is an integer number (40717111277129).

Almost surely, 2444520142205557 is an apocalyptic number.

It is an amenable number.

444520142205557 is a deficient number, since it is larger than the sum of its proper divisors (44085193119991).

444520142205557 is a wasteful number, since it uses less digits than its factorization.

444520142205557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142260 (or 4142249 counting only the distinct ones).

The product of its (nonzero) digits is 8960000, while the sum is 50.

The spelling of 444520142205557 in words is "four hundred forty-four trillion, five hundred twenty billion, one hundred forty-two million, two hundred five thousand, five hundred fifty-seven".

Divisors: 1 11 121 1286381 2855857 14150191 31414427 155652101 345558697 3673720183517 40410922018687 444520142205557