Search a number
-
+
1312140441330 = 232580897180221
BaseRepresentation
bin10011000110000001101…
…010100011011011110010
311122102212022201202212100
4103012001222203123302
5132444230423110310
62442442231241230
7163541030504145
oct23060152433362
94572768652770
101312140441330
11466526087484
12192375219216
1396971392134
1447717ac405c
15241e9b87ec0
hex13181aa36f2

1312140441330 has 48 divisors (see below), whose sum is σ = 3411626249304. Its totient is φ = 349897850880.

The previous prime is 1312140441329. The next prime is 1312140441343. The reversal of 1312140441330 is 331440412131.

1312140441330 is a `hidden beast` number, since 1 + 3 + 1 + 214 + 0 + 4 + 413 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1234585432161 + 77555009169 = 1111119^2 + 278487^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1312140441294 and 1312140441303.

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 23 ways as a sum of consecutive naturals, for example, 7190620 + ... + 7370840.

Almost surely, 21312140441330 is an apocalyptic number.

1312140441330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1312140441330 is an abundant number, since it is smaller than the sum of its proper divisors (2099485807974).

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

1312140441330 is a wasteful number, since it uses less digits than its factorization.

1312140441330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261131 (or 261128 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1312140441330 its reverse (331440412131), we get a palindrome (1643580853461).

The spelling of 1312140441330 in words is "one trillion, three hundred twelve billion, one hundred forty million, four hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 80897 161794 180221 242691 360442 404485 485382 540663 728073 808970 901105 1081326 1213455 1456146 1621989 1802210 2426910 2703315 3243978 3640365 5406630 7280730 8109945 16219890 14579338237 29158676474 43738014711 72896691185 87476029422 131214044133 145793382370 218690073555 262428088266 437380147110 656070220665 1312140441330