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45144043000 = 2353723073001
BaseRepresentation
bin101010000010110010…
…110110110111111000
311022112011110222220121
4222002302312313320
51214423333334000
632423333303024
73155466014500
oct520262666770
9138464428817
1045144043000
11181666a9751
1288ba794a74
134345a057a4
142283846a00
1512933e2b1a
hexa82cb6df8

45144043000 has 192 divisors, whose sum is σ = 123325282080. Its totient is φ = 15422400000.

The previous prime is 45144042967. The next prime is 45144043001. The reversal of 45144043000 is 34044154.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45144043001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15041500 + ... + 15044500.

Almost surely, 245144043000 is an apocalyptic number.

45144043000 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 45144043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61662641040).

45144043000 is an abundant number, since it is smaller than the sum of its proper divisors (78181239080).

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

45144043000 is a wasteful number, since it uses less digits than its factorization.

45144043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3322 counting only the distinct ones).

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

Adding to 45144043000 its reverse (34044154), we get a palindrome (45178087154).

The spelling of 45144043000 in words is "forty-five billion, one hundred forty-four million, forty-three thousand".