Search a number
-
+
44121006345 = 35134315134847
BaseRepresentation
bin101001000101110100…
…010010000100001001
311012212212110100110010
4221011310102010021
51210324434200340
632134030142133
73121234236363
oct510564220411
9135785410403
1044121006345
1117791181109
128674051949
134211a90c60
1421c7a1dd33
1512336b0b80
hexa45d12109

44121006345 has 64 divisors (see below), whose sum is σ = 78309310464. Its totient is φ = 21074860800.

The previous prime is 44121006343. The next prime is 44121006403. The reversal of 44121006345 is 54360012144.

It is not a de Polignac number, because 44121006345 - 21 = 44121006343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44121006341) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1248712 + ... + 1283558.

It is an arithmetic number, because the mean of its divisors is an integer number (1223582976).

Almost surely, 244121006345 is an apocalyptic number.

It is an amenable number.

44121006345 is a deficient number, since it is larger than the sum of its proper divisors (34188304119).

44121006345 is a wasteful number, since it uses less digits than its factorization.

44121006345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35062.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 44121006345 its reverse (54360012144), we get a palindrome (98481018489).

The spelling of 44121006345 in words is "forty-four billion, one hundred twenty-one million, six thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 39 43 65 129 151 195 215 453 559 645 755 1677 1963 2265 2795 5889 6493 8385 9815 19479 29445 32465 34847 84409 97395 104541 174235 253227 422045 453011 522705 1266135 1359033 1498421 2265055 4495263 5261897 6795165 7492105 15785691 19479473 22476315 26309485 58438419 68404661 78928455 97397365 205213983 226261571 292192095 342023305 678784713 1026069915 1131307855 2941400423 3393923565 8824201269 14707002115 44121006345