Search a number
-
+
1314114133122 = 232721489925321
BaseRepresentation
bin10011000111110111010…
…011100101110010000010
311122121221212120201000100
4103013313103211302002
5133012301204224442
62443410134303230
7163640654554500
oct23076723456202
94577855521010
101314114133122
1146734919531a
121928261b7b16
1396bc72579bb
1447863c91670
15242b30a084c
hex131f74e5c82

1314114133122 has 36 divisors (see below), whose sum is σ = 3312103990806. Its totient is φ = 375461180640.

The previous prime is 1314114133109. The next prime is 1314114133169. The reversal of 1314114133122 is 2213314114131.

1314114133122 is a `hidden beast` number, since 1 + 314 + 1 + 14 + 1 + 331 + 2 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1129163389641 + 184950743481 = 1062621^2 + 430059^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 744961779 + ... + 744963542.

Almost surely, 21314114133122 is an apocalyptic number.

1314114133122 is an abundant number, since it is smaller than the sum of its proper divisors (1997989857684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1314114133122 is a wasteful number, since it uses less digits than its factorization.

1314114133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489925343 (or 1489925333 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 1314114133122 its reverse (2213314114131), we get a palindrome (3527428247253).

The spelling of 1314114133122 in words is "one trillion, three hundred fourteen billion, one hundred fourteen million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1489925321 2979850642 4469775963 8939551926 10429477247 13409327889 20858954494 26818655778 31288431741 62576863482 73006340729 93865295223 146012681458 187730590446 219019022187 438038044374 657057066561 1314114133122