Search a number
-
+
44024210334 = 23213253273059
BaseRepresentation
bin101001000000000011…
…000010001110011110
311012122010022121021200
4221000003002032132
51210130144212314
632120251340330
73115650420306
oct510003021636
9135563277250
1044024210334
1117741578905
1286477516a6
1341c79cc900
1421b8c24606
151229e40709
hexa400c239e

44024210334 has 72 divisors (see below), whose sum is σ = 105236777880. Its totient is φ = 13290278976.

The previous prime is 44024210317. The next prime is 44024210393. The reversal of 44024210334 is 43301242044.

It is a happy number.

44024210334 is a `hidden beast` number, since 440 + 2 + 4 + 210 + 3 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 44024210298 and 44024210307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24697 + ... + 297755.

It is an arithmetic number, because the mean of its divisors is an integer number (1461621915).

Almost surely, 244024210334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44024210334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52618388940).

44024210334 is an abundant number, since it is smaller than the sum of its proper divisors (61212567546).

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

44024210334 is a wasteful number, since it uses less digits than its factorization.

44024210334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273146 (or 273130 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 44024210334 its reverse (43301242044), we get a palindrome (87325452378).

The spelling of 44024210334 in words is "forty-four billion, twenty-four million, two hundred ten thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 169 234 318 338 477 507 689 954 1014 1378 1521 2067 3042 4134 6201 8957 12402 17914 26871 53742 80613 161226 273059 546118 819177 1638354 2457531 3549767 4915062 7099534 10649301 14472127 21298602 28944254 31947903 43416381 46146971 63895806 86832762 92293942 130249143 138440913 188137651 260498286 276881826 376275302 415322739 564412953 830645478 1128825906 1693238859 2445789463 3386477718 4891578926 7337368389 14674736778 22012105167 44024210334