Search a number
-
+
44223414424 = 2374179479509
BaseRepresentation
bin101001001011111010…
…111100000010011000
311020011000011012220221
4221023322330002120
51211032143230144
632152125125424
73123616551250
oct511372740230
9136130135827
1044223414424
1117833a67892
1286a23b9874
13422a068857
1421d747a960
15123c68dd84
hexa4bebc098

44223414424 has 128 divisors (see below), whose sum is σ = 98703360000. Its totient is φ = 18182661120.

The previous prime is 44223414421. The next prime is 44223414481. The reversal of 44223414424 is 42441432244.

It is a self number, because there is not a number n which added to its sum of digits gives 44223414424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44223414421) 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 31 ways as a sum of consecutive naturals, for example, 86882682 + ... + 86883190.

It is an arithmetic number, because the mean of its divisors is an integer number (771120000).

Almost surely, 244223414424 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 44223414424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49351680000).

44223414424 is an abundant number, since it is smaller than the sum of its proper divisors (54479945576).

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

44223414424 is a wasteful number, since it uses less digits than its factorization.

44223414424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1117 counting only the distinct ones).

The product of its digits is 98304, while the sum is 34.

Adding to 44223414424 its reverse (42441432244), we get a palindrome (86664846668).

The spelling of 44223414424 in words is "forty-four billion, two hundred twenty-three million, four hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 41 56 79 82 158 164 287 316 328 479 509 553 574 632 958 1018 1106 1148 1916 2036 2212 2296 3239 3353 3563 3832 4072 4424 6478 6706 7126 12956 13412 14252 19639 20869 22673 25912 26824 28504 37841 39278 40211 41738 45346 75682 78556 80422 83476 90692 137473 146083 151364 157112 160844 166952 181384 243811 264887 274946 281477 292166 302728 321688 487622 529774 549892 562954 584332 975244 1059548 1099784 1125908 1168664 1551481 1648651 1706677 1950488 2119096 2251816 3102962 3297302 3413354 6205924 6594604 6826708 9996251 10860367 11540557 12411848 13189208 13653416 19261069 19992502 21720734 23081114 38522138 39985004 43441468 46162228 69973757 77044276 79970008 86882936 92324456 134827483 139947514 154088552 269654966 279895028 539309932 559790056 789703829 1078619864 1579407658 3158815316 5527926803 6317630632 11055853606 22111707212 44223414424