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230444321440 = 2551784722177
BaseRepresentation
bin1101011010011110001…
…1010100101010100000
3211000211001122110022011
43112213203110222200
512233422221241230
6253510433322304
722435424261434
oct3264743245240
9730731573264
10230444321440
11898048a2533
12387b3406394
1318966773368
14b22154a9c4
155edb0b8e2a
hex35a78d4aa0

230444321440 has 48 divisors (see below), whose sum is σ = 576449699112. Its totient is φ = 86755508224.

The previous prime is 230444321399. The next prime is 230444321449. The reversal of 230444321440 is 44123444032.

It can be written as a sum of positive squares in 4 ways, for example, as 160534846224 + 69909475216 = 400668^2 + 264404^2 .

It is a super-3 number, since 3×2304443214403 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (230444321449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42358369 + ... + 42363808.

Almost surely, 2230444321440 is an apocalyptic number.

230444321440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230444321440 is an abundant number, since it is smaller than the sum of its proper divisors (346005377672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230444321440 is a wasteful number, since it uses less digits than its factorization.

230444321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84722209 (or 84722201 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 230444321440 its reverse (44123444032), we get a palindrome (274567765472).

The spelling of 230444321440 in words is "two hundred thirty billion, four hundred forty-four million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 84722177 169444354 338888708 423610885 677777416 847221770 1355554832 1440277009 1694443540 2711109664 2880554018 3388887080 5761108036 6777774160 7201385045 11522216072 13555548320 14402770090 23044432144 28805540180 46088864288 57611080360 115222160720 230444321440