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44135445000 = 233545715153
BaseRepresentation
bin101001000110101011…
…010111001000001000
311012220212121220120010
4221012223113020020
51210342133220000
632135303431520
73121501043523
oct510653271010
9135825556503
1044135445000
1117799343089
128678a555a0
134214a77c3a
1421c98dbbba
151234ab3d50
hexa46ad7208

44135445000 has 160 divisors (see below), whose sum is σ = 138147403680. Its totient is φ = 11746560000.

The previous prime is 44135444959. The next prime is 44135445007. The reversal of 44135445000 is 54453144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (44135445007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8562424 + ... + 8567576.

It is an arithmetic number, because the mean of its divisors is an integer number (863421273).

Almost surely, 244135445000 is an apocalyptic number.

44135445000 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 44135445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69073701840).

44135445000 is an abundant number, since it is smaller than the sum of its proper divisors (94011958680).

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

44135445000 is a wasteful number, since it uses less digits than its factorization.

44135445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 44135445000 its reverse (54453144), we get a palindrome (44189898144).

The spelling of 44135445000 in words is "forty-four billion, one hundred thirty-five million, four hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 571 600 625 750 1000 1142 1250 1500 1713 1875 2284 2500 2855 3000 3426 3750 4568 5000 5153 5710 6852 7500 8565 10306 11420 13704 14275 15000 15459 17130 20612 22840 25765 28550 30918 34260 41224 42825 51530 57100 61836 68520 71375 77295 85650 103060 114200 123672 128825 142750 154590 171300 206120 214125 257650 285500 309180 342600 356875 386475 428250 515300 571000 618360 644125 713750 772950 856500 1030600 1070625 1288250 1427500 1545900 1713000 1932375 2141250 2576500 2855000 2942363 3091800 3220625 3864750 4282500 5153000 5884726 6441250 7729500 8565000 8827089 9661875 11769452 12882500 14711815 15459000 17654178 19323750 23538904 25765000 29423630 35308356 38647500 44135445 58847260 70616712 73559075 77295000 88270890 117694520 147118150 176541780 220677225 294236300 353083560 367795375 441354450 588472600 735590750 882708900 1103386125 1471181500 1765417800 1838976875 2206772250 2942363000 3677953750 4413544500 5516930625 7355907500 8827089000 11033861250 14711815000 22067722500 44135445000