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43314322240 = 265727379479
BaseRepresentation
bin101000010101101111…
…000001101101000000
311010210122112112220001
4220111233001231000
51202201431302430
631522012125344
73062240443600
oct502557015500
9133718475801
1043314322240
1117407895432
128489a66854
13411390a897
14214c834c00
1511d79683ca
hexa15bc1b40

43314322240 has 336 divisors, whose sum is σ = 123422054400. Its totient is φ = 14431592448.

The previous prime is 43314322229. The next prime is 43314322241. The reversal of 43314322240 is 4222341334.

It is a super-2 number, since 2×433143222402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 43314322199 and 43314322208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43314322241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90426321 + ... + 90426799.

Almost surely, 243314322240 is an apocalyptic number.

43314322240 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 43314322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61711027200).

43314322240 is an abundant number, since it is smaller than the sum of its proper divisors (80107732160).

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

43314322240 is a wasteful number, since it uses less digits than its factorization.

43314322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 43314322240 its reverse (4222341334), we get a palindrome (47536663574).

The spelling of 43314322240 in words is "forty-three billion, three hundred fourteen million, three hundred twenty-two thousand, two hundred forty".