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44241224132 = 227231393131579
BaseRepresentation
bin101001001100111110…
…111000000111000100
311020012020200001020202
4221030332320013010
51211101223133012
632154002550032
73124224125510
oct511476700704
9136166601222
1044241224132
1117843021556
1286a8368318
134230963041
1421d9995140
15123e00acc2
hexa4cfb81c4

44241224132 has 96 divisors (see below), whose sum is σ = 93349939200. Its totient is φ = 17936785152.

The previous prime is 44241224119. The next prime is 44241224149. The reversal of 44241224132 is 23142214244.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 44241224095 and 44241224104.

It is an unprimeable number.

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, 28017719 + ... + 28019297.

It is an arithmetic number, because the mean of its divisors is an integer number (972395200).

Almost surely, 244241224132 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 44241224132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46674969600).

44241224132 is an abundant number, since it is smaller than the sum of its proper divisors (49108715068).

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

44241224132 is a wasteful number, since it uses less digits than its factorization.

44241224132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2063 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

Adding to 44241224132 its reverse (23142214244), we get a palindrome (67383438376).

The spelling of 44241224132 in words is "forty-four billion, two hundred forty-one million, two hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 92 139 161 278 313 322 556 626 644 973 1252 1579 1946 2191 3158 3197 3892 4382 6316 6394 7199 8764 11053 12788 14398 22106 22379 28796 36317 43507 44212 44758 50393 72634 87014 89516 100786 145268 174028 201572 219481 254219 304549 438962 494227 508438 609098 877924 988454 1000661 1016876 1218196 1536367 1976908 2001322 3072734 3459589 4002644 5048063 6145468 6919178 7004627 10096126 11367221 13838356 14009254 20192252 22734442 28018508 35336441 45468884 68697553 70672882 79570547 137395106 141345764 159141094 274790212 318282188 480882871 961765742 1580043719 1923531484 3160087438 6320174876 11060306033 22120612066 44241224132