Search a number
-
+
44134432122 = 23111731311039
BaseRepresentation
bin101001000110100111…
…011111110101111010
311012220210201110011010
4221012213133311322
51210341403311442
632135230014350
73121456324524
oct510647376572
9135823643133
1044134432122
11177988110a0
1286786473b6
1342147b1bc1
1421c9716a14
151234963b9c
hexa469dfd7a

44134432122 has 128 divisors (see below), whose sum is σ = 103190630400. Its totient is φ = 12479251200.

The previous prime is 44134432109. The next prime is 44134432151. The reversal of 44134432122 is 22123443144.

It is a self number, because there is not a number n which added to its sum of digits gives 44134432122.

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, 42477279 + ... + 42478317.

It is an arithmetic number, because the mean of its divisors is an integer number (806176800).

Almost surely, 244134432122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44134432122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51595315200).

44134432122 is an abundant number, since it is smaller than the sum of its proper divisors (59056198278).

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

44134432122 is a wasteful number, since it uses less digits than its factorization.

44134432122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1203 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 44134432122 its reverse (22123443144), we get a palindrome (66257875266).

The spelling of 44134432122 in words is "forty-four billion, one hundred thirty-four million, four hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 131 187 262 289 374 393 561 578 786 867 1039 1122 1441 1734 2078 2227 2882 3117 3179 4323 4454 4913 6234 6358 6681 8646 9537 9826 11429 13362 14739 17663 19074 22858 24497 29478 34287 35326 37859 48994 52989 54043 68574 73491 75718 105978 108086 113577 136109 146982 162129 194293 227154 272218 300271 324258 388586 408327 416449 582879 600542 643603 816654 832898 900813 1165758 1249347 1287206 1497199 1801626 1930809 2313853 2498694 2994398 3302981 3861618 4491597 4627706 5104607 6605962 6941559 7079633 8983194 9908943 10209214 13883118 14159266 15313821 19817886 21238899 25452383 30627642 39335501 42477798 50904766 56150677 76357149 78671002 112301354 118006503 152714298 168452031 236013006 336904062 432690511 668703517 865381022 1298071533 1337407034 2006110551 2596143066 4012221102 7355738687 14711477374 22067216061 44134432122