Search a number
-
+
44121234201 = 31129535091709
BaseRepresentation
bin101001000101110101…
…001001101100011001
311012212212212221000020
4221011311021230121
51210330013443301
632134035101053
73121236205602
oct510565115431
9135785787006
1044121234201
1117791317320
128674141789
134211b40895
1421c7a7cda9
151233708436
hexa45d49b19

44121234201 has 64 divisors (see below), whose sum is σ = 67814496000. Its totient is φ = 25266375680.

The previous prime is 44121234139. The next prime is 44121234217. The reversal of 44121234201 is 10243212144.

It is a cyclic number.

It is not a de Polignac number, because 44121234201 - 26 = 44121234137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44121234221) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 25816135 + ... + 25817843.

It is an arithmetic number, because the mean of its divisors is an integer number (1059601500).

Almost surely, 244121234201 is an apocalyptic number.

It is an amenable number.

44121234201 is a deficient number, since it is larger than the sum of its proper divisors (23693261799).

44121234201 is a wasteful number, since it uses less digits than its factorization.

44121234201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 44121234201 its reverse (10243212144), we get a palindrome (54364446345).

The spelling of 44121234201 in words is "forty-four billion, one hundred twenty-one million, two hundred thirty-four thousand, two hundred one".

Divisors: 1 3 11 29 33 53 87 159 319 509 583 957 1527 1537 1709 1749 4611 5127 5599 14761 16797 16907 18799 26977 44283 49561 50721 56397 80931 90577 148683 162371 271731 296747 487113 545171 782333 869881 890241 996347 1635513 2346999 2609643 2626733 2989041 7880199 8605663 9568691 25226549 25816989 28706073 28894063 46103693 75679647 86682189 138311079 277492039 507140623 832476117 1337007097 1521421869 4011021291 14707078067 44121234201