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239345014441 = 132376332
BaseRepresentation
bin1101111011101000010…
…0110001011010101001
3211212210100212111201111
43132322010301122221
512410134310430231
6301541550150321
723202123024631
oct3367204613251
9755710774644
10239345014441
1192562025965
123a4781b23a1
1319754793400
14b8276b16c1
15635c6cb4b1
hex37ba1316a9

239345014441 has 9 divisors (see below), whose sum is σ = 259179299109. Its totient is φ = 220927988736.

The previous prime is 239345014429. The next prime is 239345014477. The reversal of 239345014441 is 144410543932.

The square root of 239345014441 is 489229.

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 88226226841 + 151118787600 = 297029^2 + 388740^2 .

It is not a de Polignac number, because 239345014441 - 229 = 238808143529 is a prime.

It is a super-3 number, since 3×2393450144413 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 239345014394 and 239345014403.

It is not an unprimeable number, because it can be changed into a prime (239345014141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6341161 + ... + 6378793.

It is an arithmetic number, because the mean of its divisors is an integer number (28797699901).

Almost surely, 2239345014441 is an apocalyptic number.

239345014441 is the 489229-th square number.

239345014441 is the 244615-th centered octagonal number.

It is an amenable number.

239345014441 is a deficient number, since it is larger than the sum of its proper divisors (19834284668).

239345014441 is an frugal number, since it uses more digits than its factorization.

239345014441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75292 (or 37646 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 239345014441 in words is "two hundred thirty-nine billion, three hundred forty-five million, fourteen thousand, four hundred forty-one".

Divisors: 1 13 169 37633 489229 6359977 1416242689 18411154957 239345014441