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380231323641 = 321329721632
BaseRepresentation
bin1011000100001111000…
…11011000111111111001
31100100102222022120010100
411202013203120333321
522212203204324031
6450401552510013
736320325632031
oct5420743307771
91310388276110
10380231323641
11137289740244
126183684b309
1329b17b67300
14145908d48c1
159d56122de6
hex58878d8ff9

380231323641 has 81 divisors (see below), whose sum is σ = 604624351149. Its totient is φ = 230155540992.

The previous prime is 380231323621. The next prime is 380231323673. The reversal of 380231323641 is 146323132083.

The square root of 380231323641 is 616629.

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

380231323641 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 3 + 1 + 3 + 2 + 3 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69469672041 + 310761651600 = 263571^2 + 557460^2 .

It is not a de Polignac number, because 380231323641 - 25 = 380231323609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 380231323596 and 380231323605.

It is not an unprimeable number, because it can be changed into a prime (380231323621) 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, 2332707426 + ... + 2332707588.

Almost surely, 2380231323641 is an apocalyptic number.

380231323641 is the 616629-th square number.

380231323641 is the 308315-th centered octagonal number.

It is an amenable number.

380231323641 is a deficient number, since it is larger than the sum of its proper divisors (224393027508).

380231323641 is an equidigital number, since it uses as much as digits as its factorization.

380231323641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Multiplying 380231323641 by its sum of digits (36), we get a square (13688327651076 = 36997742).

The spelling of 380231323641 in words is "three hundred eighty billion, two hundred thirty-one million, three hundred twenty-three thousand, six hundred forty-one".

Divisors: 1 3 9 13 39 97 117 163 169 291 489 507 873 1261 1467 1521 2119 3783 6357 9409 11349 15811 16393 19071 26569 27547 28227 47433 49179 79707 82641 84681 122317 142299 147537 205543 239121 247923 345397 366951 616629 1036191 1100853 1533667 1590121 1849887 2577193 2672059 3108573 4490161 4601001 4770363 7731579 8016177 13470483 13803003 14311089 19937671 23194737 24048531 33503509 40411449 59813013 100510527 179439039 249987721 259189723 301531581 435545617 749963163 777569169 1306636851 2249889489 2332707507 3249840373 3919910553 9749521119 29248563357 42247924849 126743774547 380231323641