Search a number
-
+
230379840441 = 362926132
BaseRepresentation
bin1101011010001110110…
…1010110001110111001
3211000122120022111000000
43112203231112032321
512233304214343231
6253500211303213
722434012222252
oct3264355261671
9730576274000
10230379840441
1189781460a53
12387958aab09
13189562b791a
14b216b63b29
155ed55cd6e6
hex35a3b563b9

230379840441 has 63 divisors (see below), whose sum is σ = 358317745149. Its totient is φ = 148048562592.

The previous prime is 230379840433. The next prime is 230379840463. The reversal of 230379840441 is 144048973032.

The square root of 230379840441 is 479979.

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

230379840441 is a `hidden beast` number, since 230 + 3 + 7 + 9 + 8 + 404 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96494103225 + 133885737216 = 310635^2 + 365904^2 .

It is not a de Polignac number, because 230379840441 - 23 = 230379840433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230379841441) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 375823251 + ... + 375823863.

Almost surely, 2230379840441 is an apocalyptic number.

230379840441 is the 479979-th square number.

230379840441 is the 239990-th centered octagonal number.

It is an amenable number.

230379840441 is a deficient number, since it is larger than the sum of its proper divisors (127937904708).

230379840441 is an frugal number, since it uses more digits than its factorization.

230379840441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 230379840441 in words is "two hundred thirty billion, three hundred seventy-nine million, eight hundred forty thousand, four hundred forty-one".

Divisors: 1 3 9 27 29 81 87 243 261 613 729 783 841 1839 2349 2523 5517 7047 7569 16551 17777 21141 22707 49653 53331 68121 148959 159993 204363 375769 446877 479979 515533 613089 1127307 1439937 1546599 3381921 4319811 4639797 10145763 10897301 12959433 13919391 30437289 32691903 41758173 91311867 98075709 125274519 273935601 294227127 316021729 375823557 882681381 948065187 2648044143 2844195561 7944132429 8532586683 25597760049 76793280147 230379840441