Search a number
-
+
130814592489 = 347257412
BaseRepresentation
bin111100111010100101…
…0000100010111101001
3110111122200201211110000
41321311022010113221
54120402013424424
6140032334413213
712310464455400
oct1716512042751
9414580654400
10130814592489
1150529477569
1221429661209
13c449896719
14648d752637
15360961e3c9
hex1e752845e9

130814592489 has 45 divisors (see below), whose sum is σ = 227358384231. Its totient is φ = 74738175120.

The previous prime is 130814592451. The next prime is 130814592509. The reversal of 130814592489 is 984295418031.

It is a happy number.

The square root of 130814592489 is 361683.

It is a perfect power (a square), and thus also a powerful number.

130814592489 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 1 + 4 + 592 + 48 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65391184089 + 65423408400 = 255717^2 + 255780^2 .

It is not a de Polignac number, because 130814592489 - 221 = 130812495337 is a prime.

It is a super-2 number, since 2×1308145924892 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130814592589) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 22783159 + ... + 22788899.

Almost surely, 2130814592489 is an apocalyptic number.

130814592489 is the 361683-rd square number.

130814592489 is the 180842-nd centered octagonal number.

It is an amenable number.

130814592489 is a deficient number, since it is larger than the sum of its proper divisors (96543791742).

130814592489 is an frugal number, since it uses more digits than its factorization.

130814592489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11508 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 130814592489 in words is "one hundred thirty billion, eight hundred fourteen million, five hundred ninety-two thousand, four hundred eighty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 5741 17223 40187 51669 120561 155007 281309 361683 465021 843927 1085049 2531781 3255147 7595343 22786029 32959081 98877243 230713567 296631729 692140701 889895187 1614994969 2076422103 2669685561 4844984907 6229266309 14534954721 18687798927 43604864163 130814592489