Search a number
-
+
238394898049 = 721121723732
BaseRepresentation
bin1101111000000101110…
…0010111011010000001
3211210100011001121001111
43132001130113122001
512401213043214144
6301303410003321
723136435125200
oct3360134273201
9753304047044
10238394898049
1192114783400
123a251b76541
13196329a0669
14b77742b237
1563040a0534
hex3781717681

238394898049 has 81 divisors (see below), whose sum is σ = 324674678601. Its totient is φ = 174366339840.

The previous prime is 238394898047. The next prime is 238394898059. The reversal of 238394898049 is 940898493832.

The square root of 238394898049 is 488257.

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

It can be written as a sum of positive squares in 4 ways, for example, as 26371486449 + 212023411600 = 162393^2 + 460460^2 .

It is not a de Polignac number, because 238394898049 - 21 = 238394898047 is a prime.

It is not an unprimeable number, because it can be changed into a prime (238394898047) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 639128227 + ... + 639128599.

Almost surely, 2238394898049 is an apocalyptic number.

238394898049 is the 488257-th square number.

238394898049 is the 244129-th centered octagonal number.

It is an amenable number.

238394898049 is a deficient number, since it is larger than the sum of its proper divisors (86279780552).

238394898049 is an equidigital number, since it uses as much as digits as its factorization.

238394898049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 67.

The spelling of 238394898049 in words is "two hundred thirty-eight billion, three hundred ninety-four million, eight hundred ninety-eight thousand, forty-nine".

Divisors: 1 7 11 17 49 77 119 121 187 289 373 539 833 847 1309 2023 2057 2611 3179 4103 5929 6341 9163 14161 14399 18277 22253 28721 34969 44387 45133 69751 100793 107797 139129 155771 201047 244783 310709 315931 488257 754579 767261 973903 1185767 1530419 1713481 2211517 2365193 3417799 5282053 5370827 6817321 8300369 10712933 13043437 16556351 16834609 26017123 37595789 40208281 58102583 74990531 91304059 115894457 117842263 182119861 281457967 286188353 442291091 639128413 824895841 1274839027 1970205769 2003318471 3096037637 4865202001 14023229297 21672263459 34056414007 238394898049