Search a number
-
+
323298128523049 = 292432144192
BaseRepresentation
bin100100110000010011011011…
…0000110110110111100101001
31120101200222222110002111221221
41021200212312012312330221
5314333404031400214144
63103333035422502041
7125045343003426421
oct11140466606667451
91511628873074857
10323298128523049
1194015a6a206169
1230315415134921
1310b51b623bc424
1459b99da32b481
152759ad6170d84
hex12609b61b6f29

323298128523049 has 27 divisors (see below), whose sum is σ = 342822386038743. Its totient is φ = 304869471735024.

The previous prime is 323298128523047. The next prime is 323298128523053. The reversal of 323298128523049 is 940325821892323.

The square root of 323298128523049 is 17980493.

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

It can be written as a sum of positive squares in only one way, i.e., 169529696407449 + 153768432115600 = 13020357^2 + 12400340^2 .

It is not a de Polignac number, because 323298128523049 - 21 = 323298128523047 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (323298128523047) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22421667562 + ... + 22421681980.

Almost surely, 2323298128523049 is an apocalyptic number.

323298128523049 is the 17980493-rd square number.

323298128523049 is the 8990247-th centered octagonal number.

It is an amenable number.

323298128523049 is a deficient number, since it is larger than the sum of its proper divisors (19524257515694).

323298128523049 is an frugal number, since it uses more digits than its factorization.

323298128523049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28982 (or 14491 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 61.

The spelling of 323298128523049 in words is "three hundred twenty-three trillion, two hundred ninety-eight billion, one hundred twenty-eight million, five hundred twenty-three thousand, forty-nine".

Divisors: 1 29 43 841 1247 1849 14419 36163 53621 418151 620017 1555009 12126379 17980493 26660731 207907561 521434297 773161199 6029319269 8940025123 22421674771 174850258801 259260728567 384421080289 7518561128443 11148211328381 323298128523049