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44245345000 = 235423333793
BaseRepresentation
bin101001001101001110…
…100110001011101000
311020012112102102000111
4221031032212023220
51211103302020000
632154231144104
73124304140633
oct511516461350
9136175372014
1044245345000
111784538662a
1286a9815034
13423177691c
1421da348c1a
15123e571cba
hexa4d3a62e8

44245345000 has 80 divisors (see below), whose sum is σ = 103738621140. Its totient is φ = 17685888000.

The previous prime is 44245344991. The next prime is 44245345007. The reversal of 44245345000 is 54354244.

It can be written as a sum of positive squares in 10 ways, for example, as 11570444356 + 32674900644 = 107566^2 + 180762^2 .

It is not an unprimeable number, because it can be changed into a prime (44245345007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 11663104 + ... + 11666896.

Almost surely, 244245345000 is an apocalyptic number.

44245345000 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 44245345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51869310570).

44245345000 is an abundant number, since it is smaller than the sum of its proper divisors (59493276140).

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

44245345000 is a wasteful number, since it uses less digits than its factorization.

44245345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6152 (or 6133 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

Adding to 44245345000 its reverse (54354244), we get a palindrome (44299699244).

The spelling of 44245345000 in words is "forty-four billion, two hundred forty-five million, three hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2333 2500 3793 4666 5000 7586 9332 11665 15172 18664 18965 23330 30344 37930 46660 58325 75860 93320 94825 116650 151720 189650 233300 291625 379300 466600 474125 583250 758600 948250 1166500 1458125 1896500 2333000 2370625 2916250 3793000 4741250 5832500 8849069 9482500 11665000 17698138 18965000 35396276 44245345 70792552 88490690 176981380 221226725 353962760 442453450 884906900 1106133625 1769813800 2212267250 4424534500 5530668125 8849069000 11061336250 22122672500 44245345000