Search a number
-
+
3144415350303 = 33131889006319
BaseRepresentation
bin101101110000011101110…
…000101000111000011111
3102010121021201020012011000
4231300131300220320133
5403004230312202203
610404305141401343
7443114354323563
oct55603560507037
912117251205130
103144415350303
1110025a2543957
124294aa409253
1319a69509aac6
14ac294ab76a3
1556bd7dd24a3
hex2dc1dc28e1f

3144415350303 has 16 divisors (see below), whose sum is σ = 4693953369600. Its totient is φ = 2080274784120.

The previous prime is 3144415350301. The next prime is 3144415350403. The reversal of 3144415350303 is 3030535144413.

3144415350303 is a `hidden beast` number, since 3 + 144 + 4 + 1 + 5 + 3 + 503 + 0 + 3 = 666.

It is not a de Polignac number, because 3144415350303 - 21 = 3144415350301 is a prime.

It is a super-2 number, since 2×31444153503032 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144415350301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444499623 + ... + 444506696.

It is an arithmetic number, because the mean of its divisors is an integer number (293372085600).

Almost surely, 23144415350303 is an apocalyptic number.

3144415350303 is a deficient number, since it is larger than the sum of its proper divisors (1549538019297).

3144415350303 is a wasteful number, since it uses less digits than its factorization.

3144415350303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889006459 (or 889006453 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 3144415350303 in words is "three trillion, one hundred forty-four billion, four hundred fifteen million, three hundred fifty thousand, three hundred three".

Divisors: 1 3 9 27 131 393 1179 3537 889006319 2667018957 8001056871 24003170613 116459827789 349379483367 1048138450101 3144415350303