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44135423340 = 22354125171479
BaseRepresentation
bin101001000110101011…
…010001110101101100
311012220212120210211220
4221012223101311230
51210342132021330
632135303143340
73121500623421
oct510653216554
9135825523756
1044135423340
1117799328888
128678a44b50
134214a6b118
1421c98d3d48
151234aac710
hexa46ad1d6c

44135423340 has 96 divisors (see below), whose sum is σ = 127099445760. Its totient is φ = 11436480000.

The previous prime is 44135423333. The next prime is 44135423359. The reversal of 44135423340 is 4332453144.

44135423340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581721 + ... + 653199.

It is an arithmetic number, because the mean of its divisors is an integer number (1323952560).

Almost surely, 244135423340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44135423340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63549722880).

44135423340 is an abundant number, since it is smaller than the sum of its proper divisors (82964022420).

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

44135423340 is a wasteful number, since it uses less digits than its factorization.

44135423340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71783 (or 71781 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 44135423340 its reverse (4332453144), we get a palindrome (48467876484).

The spelling of 44135423340 in words is "forty-four billion, one hundred thirty-five million, four hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 251 410 492 502 615 753 820 1004 1230 1255 1506 2460 2510 3012 3765 5020 7530 10291 15060 20582 30873 41164 51455 61746 71479 102910 123492 142958 154365 205820 214437 285916 308730 357395 428874 617460 714790 857748 1072185 1429580 2144370 2930639 4288740 5861278 8791917 11722556 14653195 17583834 17941229 29306390 35167668 35882458 43959585 53823687 58612780 71764916 87919170 89706145 107647374 175838340 179412290 215294748 269118435 358824580 538236870 735590389 1076473740 1471180778 2206771167 2942361556 3677951945 4413542334 7355903890 8827084668 11033855835 14711807780 22067711670 44135423340