Search a number
-
+
444754455255172 = 221721013809264237
BaseRepresentation
bin110010100100000000111011…
…1010100010101100010000100
32011022202002222200112210220001
41211020001313110111202010
5431243324111021131142
64213525213123451044
7162452310003612556
oct14510016724254204
92138662880483801
10444754455255172
1111979233a2a3147
1241a70487226a84
131612221bb58c4a
147bb83326774d6
15366413d9535b7
hex1948077515884

444754455255172 has 36 divisors (see below), whose sum is σ = 834983102441124. Its totient is φ = 207223974438400.

The previous prime is 444754455255133. The next prime is 444754455255233. The reversal of 444754455255172 is 271552554457444.

It can be written as a sum of positive squares in 6 ways, for example, as 132763489468416 + 311990965786756 = 11522304^2 + 17663266^2 .

It is a super-3 number, since 3×4447544552551723 (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1904515363 + ... + 1904748874.

It is an arithmetic number, because the mean of its divisors is an integer number (23193975067809).

Almost surely, 2444754455255172 is an apocalyptic number.

It is an amenable number.

444754455255172 is a deficient number, since it is larger than the sum of its proper divisors (390228647185952).

444754455255172 is a wasteful number, since it uses less digits than its factorization.

444754455255172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809264376 (or 3809264357 counting only the distinct ones).

The product of its digits is 627200000, while the sum is 64.

The spelling of 444754455255172 in words is "four hundred forty-four trillion, seven hundred fifty-four billion, four hundred fifty-five million, two hundred fifty-five thousand, one hundred seventy-two".

Divisors: 1 2 4 17 34 68 101 202 289 404 578 1156 1717 3434 6868 29189 58378 116756 3809264237 7618528474 15237056948 64757492029 129514984058 259029968116 384735687937 769471375874 1100877364493 1538942751748 2201754728986 4403509457972 6540506694929 13081013389858 26162026779716 111188613813793 222377227627586 444754455255172