Search a number
-
+
44144420124 = 22371498114349
BaseRepresentation
bin101001000111001101…
…100110010100011100
311012221111111220010010
4221013031212110130
51210401432420444
632140224043220
73121640244210
oct510715462434
9135844456103
1044144420124
11177a3413242
12867ba63510
13421689b16c
1421cab96940
1512357882b9
hexa4736651c

44144420124 has 96 divisors (see below), whose sum is σ = 118681920000. Its totient is φ = 12509717760.

The previous prime is 44144420123. The next prime is 44144420129. The reversal of 44144420124 is 42102444144.

It is a junction number, because it is equal to n+sod(n) for n = 44144420091 and 44144420100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44144420123) 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, 10148302 + ... + 10152650.

It is an arithmetic number, because the mean of its divisors is an integer number (1236270000).

Almost surely, 244144420124 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 44144420124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59340960000).

44144420124 is an abundant number, since it is smaller than the sum of its proper divisors (74537499876).

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

44144420124 is a wasteful number, since it uses less digits than its factorization.

44144420124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 44144420124 its reverse (42102444144), we get a palindrome (86246864268).

The spelling of 44144420124 in words is "forty-four billion, one hundred forty-four million, four hundred twenty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 298 447 596 811 894 1043 1622 1788 2086 2433 3129 3244 4172 4349 4866 5677 6258 8698 9732 11354 12516 13047 17031 17396 22708 26094 30443 34062 52188 60886 68124 91329 120839 121772 182658 241678 362517 365316 483356 648001 725034 845873 1296002 1450068 1691746 1944003 2537619 2592004 3383492 3527039 3888006 4536007 5075238 7054078 7776012 9072014 10150476 10581117 13608021 14108156 18144028 21162234 24689273 27216042 42324468 49378546 54432084 74067819 98757092 148135638 296271276 525528811 1051057622 1576586433 2102115244 3153172866 3678701677 6306345732 7357403354 11036105031 14714806708 22072210062 44144420124