Search a number
-
+
230431703040 = 214345711241
BaseRepresentation
bin1101011010011011001…
…1001100000000000000
3211000210011220101010000
43112212303030000000
512233411003444130
6253505303040000
722435212105210
oct3264663140000
9730704811100
10230431703040
11897a8764100
12387ab140000
1318963c75a56
14b21d9c4240
155ed9e25260
hex35a6ccc000

230431703040 has 1800 divisors, whose sum is σ = 1063075771296. Its totient is φ = 46714060800.

The previous prime is 230431703027. The next prime is 230431703041. The reversal of 230431703040 is 40307134032.

230431703040 is a `hidden beast` number, since 2 + 304 + 317 + 0 + 3 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 230431702995 and 230431703013.

It is not an unprimeable number, because it can be changed into a prime (230431703041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5620285420 + ... + 5620285460.

Almost surely, 2230431703040 is an apocalyptic number.

230431703040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230431703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531537885648).

230431703040 is an abundant number, since it is smaller than the sum of its proper divisors (832644068256).

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

230431703040 is an equidigital number, since it uses as much as digits as its factorization.

230431703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 230431703040 its reverse (40307134032), we get a palindrome (270738837072).

The spelling of 230431703040 in words is "two hundred thirty billion, four hundred thirty-one million, seven hundred three thousand, forty".