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440130310000 = 24541373111033
BaseRepresentation
bin1100110011110011100…
…11111000111101110000
31120002001102211100012121
412121321303320331300
524202341324410000
6534105412004024
743540560623233
oct6317163707560
91502042740177
10440130310000
1115a7270a4257
1271372900614
13326726b74c4
1417433bb141a
15b6aea70b1a
hex6679cf8f70

440130310000 has 200 divisors, whose sum is σ = 1077871395744. Its totient is φ = 174036480000.

The previous prime is 440130309967. The next prime is 440130310001. The reversal of 440130310000 is 13031044.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×4401303100002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440130310001) 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 39 ways as a sum of consecutive naturals, for example, 426069484 + ... + 426070516.

Almost surely, 2440130310000 is an apocalyptic number.

440130310000 is a gapful number since it is divisible by the number (40) 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 440130310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538935697872).

440130310000 is an abundant number, since it is smaller than the sum of its proper divisors (637741085744).

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

440130310000 is a wasteful number, since it uses less digits than its factorization.

440130310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 440130310000 its reverse (13031044), we get a palindrome (440143341044).

The spelling of 440130310000 in words is "four hundred forty billion, one hundred thirty million, three hundred ten thousand".