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4315444000000 = 28567236701
BaseRepresentation
bin111110110011000100100…
…000011011010100000000
3120021112220201020012212021
4332303010200123110000
51031201012131000000
613102253153411224
7623531503524520
oct76630440332400
916245821205767
104315444000000
1114141956a8731
12598441569b14
13253c3844c083
1410cc23641680
15773c443411a
hex3ecc481b500

4315444000000 has 504 divisors, whose sum is σ = 12842543113344. Its totient is φ = 1415040000000.

The previous prime is 4315443999991. The next prime is 4315444000031. The reversal of 4315444000000 is 4445134.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 643996650 + ... + 644003350.

It is an arithmetic number, because the mean of its divisors is an integer number (25481236336).

Almost surely, 24315444000000 is an apocalyptic number.

4315444000000 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 4315444000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421271556672).

4315444000000 is an abundant number, since it is smaller than the sum of its proper divisors (8527099113344).

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

4315444000000 is an frugal number, since it uses more digits than its factorization.

4315444000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 4315444000000 its reverse (4445134), we get a palindrome (4315448445134).

The spelling of 4315444000000 in words is "four trillion, three hundred fifteen billion, four hundred forty-four million", and thus it is an aban number.