Search a number
-
+
44142130110 = 235138910312347
BaseRepresentation
bin101001000111000100…
…110111001110111110
311012221100012112210210
4221013010313032332
51210400341130420
632140103013250
73121611625611
oct510704671676
9135840175723
1044142130110
11177a2099771
12867b13a226
134216278a20
1421ca75c178
1512354849e0
hexa471373be

44142130110 has 128 divisors (see below), whose sum is σ = 116501898240. Its totient is φ = 10638498816.

The previous prime is 44142130103. The next prime is 44142130187. The reversal of 44142130110 is 1103124144.

It is a super-2 number, since 2×441421301102 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3568957 + ... + 3581303.

It is an arithmetic number, because the mean of its divisors is an integer number (910171080).

Almost surely, 244142130110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44142130110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58250949120).

44142130110 is an abundant number, since it is smaller than the sum of its proper divisors (72359768130).

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

44142130110 is a wasteful number, since it uses less digits than its factorization.

44142130110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12562.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 44142130110 its reverse (1103124144), we get a palindrome (45245254254).

The spelling of 44142130110 in words is "forty-four billion, one hundred forty-two million, one hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 89 103 130 178 195 206 267 309 390 445 515 534 618 890 1030 1157 1335 1339 1545 2314 2670 2678 3090 3471 4017 5785 6695 6942 8034 9167 11570 12347 13390 17355 18334 20085 24694 27501 34710 37041 40170 45835 55002 61735 74082 91670 119171 123470 137505 160511 185205 238342 275010 321022 357513 370410 481533 595855 715026 802555 963066 1098883 1191710 1271741 1605110 1787565 2197766 2407665 2543482 3296649 3575130 3815223 4815330 5494415 6358705 6593298 7630446 10988830 12717410 14285479 16483245 16532633 19076115 28570958 32966490 33065266 38152230 42856437 49597899 71427395 82663165 85712874 99195798 113184949 142854790 165326330 214282185 226369898 247989495 339554847 428564370 495978990 565924745 679109694 1131849490 1471404337 1697774235 2942808674 3395548470 4414213011 7357021685 8828426022 14714043370 22071065055 44142130110