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230313140000 = 255411515657
BaseRepresentation
bin1101011001111110111…
…0111001111100100000
3211000110220210202012022
43112133232321330200
512233140130440000
6253445425521012
722432242250316
oct3263756717440
9730426722168
10230313140000
1189747843a19
12387774a3168
1318945532bc8
14b20bd600b6
155ece805585
hex359fbb9f20

230313140000 has 60 divisors (see below), whose sum is σ = 566604920574. Its totient is φ = 92125248000.

The previous prime is 230313139997. The next prime is 230313140003. The reversal of 230313140000 is 41313032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230313139997) and next prime (230313140003).

It can be written as a sum of positive squares in 5 ways, for example, as 7729223056 + 222583916944 = 87916^2 + 471788^2 .

It is not an unprimeable number, because it can be changed into a prime (230313140003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5737829 + ... + 5777828.

Almost surely, 2230313140000 is an apocalyptic number.

230313140000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230313140000 is an abundant number, since it is smaller than the sum of its proper divisors (336291780574).

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

230313140000 is an equidigital number, since it uses as much as digits as its factorization.

230313140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11515687 (or 11515664 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 230313140000 its reverse (41313032), we get a palindrome (230354453032).

The spelling of 230313140000 in words is "two hundred thirty billion, three hundred thirteen million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 11515657 23031314 46062628 57578285 92125256 115156570 184250512 230313140 287891425 368501024 460626280 575782850 921252560 1151565700 1439457125 1842505120 2303131400 2878914250 4606262800 5757828500 7197285625 9212525600 11515657000 14394571250 23031314000 28789142500 46062628000 57578285000 115156570000 230313140000