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44131031304 = 23353101431797
BaseRepresentation
bin101001000110011010…
…100001100100001000
311012220120022200002220
4221012122201210020
51210340021000204
632135025054040
73121415401563
oct510632414410
9135816280086
1044131031304
11177968a8aa8
128677487320
134213b90c99
1421c90ad4da
1512344e11d9
hexa466a1908

44131031304 has 128 divisors (see below), whose sum is σ = 113928353280. Its totient is φ = 14238848000.

The previous prime is 44131031281. The next prime is 44131031317. The reversal of 44131031304 is 40313013144.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 55371034 + ... + 55371830.

It is an arithmetic number, because the mean of its divisors is an integer number (890065260).

Almost surely, 244131031304 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 44131031304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56964176640).

44131031304 is an abundant number, since it is smaller than the sum of its proper divisors (69797321976).

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

44131031304 is a wasteful number, since it uses less digits than its factorization.

44131031304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 44131031304 its reverse (40313013144), we get a palindrome (84444044448).

The spelling of 44131031304 in words is "forty-four billion, one hundred thirty-one million, thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 53 101 106 159 202 212 303 318 404 424 431 606 636 797 808 862 1212 1272 1293 1594 1724 2391 2424 2586 3188 3448 4782 5172 5353 6376 9564 10344 10706 16059 19128 21412 22843 32118 42241 42824 43531 45686 64236 68529 80497 84482 87062 91372 126723 128472 130593 137058 160994 168964 174124 182744 241491 253446 261186 274116 321988 337928 343507 348248 482982 506892 522372 548232 643976 687014 965964 1013784 1030521 1044744 1374028 1931928 2061042 2307143 2748056 4122084 4266341 4614286 6921429 8244168 8532682 9228572 12799023 13842858 17065364 18205871 18457144 25598046 27685716 34130728 34694207 36411742 51196092 54617613 55371432 69388414 72823484 102392184 104082621 109235226 138776828 145646968 208165242 218470452 277553656 416330484 436940904 832660968 1838792971 3677585942 5516378913 7355171884 11032757826 14710343768 22065515652 44131031304