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44413034224 = 24132331129851
BaseRepresentation
bin101001010111001110…
…010001111011110000
311020122012221220101111
4221113032101323300
51211424214043344
632223021243104
73131411363536
oct512716217360
9136565856344
1044413034224
1117920aaaa69
128735a03494
13425a42a210
14221471a156
15124e147834
hexa57391ef0

44413034224 has 80 divisors (see below), whose sum is σ = 97012790784. Its totient is φ = 19543392000.

The previous prime is 44413034189. The next prime is 44413034227. The reversal of 44413034224 is 42243031444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44413034227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1472899 + ... + 1502749.

Almost surely, 244413034224 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 44413034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48506395392).

44413034224 is an abundant number, since it is smaller than the sum of its proper divisors (52599756560).

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

44413034224 is a wasteful number, since it uses less digits than its factorization.

44413034224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30206 (or 30200 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 44413034224 its reverse (42243031444), we get a palindrome (86656065668).

The spelling of 44413034224 in words is "forty-four billion, four hundred thirteen million, thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 311 368 598 622 1196 1244 2392 2488 4043 4784 4976 7153 8086 14306 16172 28612 29851 32344 57224 59702 64688 92989 114448 119404 185978 238808 371956 388063 477616 686573 743912 776126 1373146 1487824 1552252 2746292 3104504 5492584 6209008 8925449 9283661 10985168 17850898 18567322 35701796 37134644 71403592 74269288 120687593 142807184 148538576 213524203 241375186 427048406 482750372 854096812 965500744 1708193624 1931001488 2775814639 3416387248 5551629278 11103258556 22206517112 44413034224