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4144401134221 = 177310079331339
BaseRepresentation
bin111100010011110001100…
…011101011001010001101
3112200012102102220100211111
4330103301203223022031
51020400213142243341
612451524523252021
7605265060253405
oct74236143531215
915605372810744
104144401134221
1113586a343a017
1256b26767a011
13240a7a429a5a
1410483929d805
1572c1328b681
hex3c4f18eb28d

4144401134221 has 16 divisors (see below), whose sum is σ = 4448756390400. Its totient is φ = 3846786467328.

The previous prime is 4144401134207. The next prime is 4144401134257. The reversal of 4144401134221 is 1224311044414.

It is a cyclic number.

It is not a de Polignac number, because 4144401134221 - 219 = 4144400609933 is a prime.

It is a super-3 number, since 3×41444011342213 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144401194221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12342370 + ... + 12673708.

It is an arithmetic number, because the mean of its divisors is an integer number (278047274400).

Almost surely, 24144401134221 is an apocalyptic number.

It is an amenable number.

4144401134221 is a deficient number, since it is larger than the sum of its proper divisors (304355256179).

4144401134221 is a wasteful number, since it uses less digits than its factorization.

4144401134221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341508.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 4144401134221 its reverse (1224311044414), we get a palindrome (5368712178635).

The spelling of 4144401134221 in words is "four trillion, one hundred forty-four billion, four hundred one million, one hundred thirty-four thousand, two hundred twenty-one".

Divisors: 1 17 73 1241 10079 171343 331339 735767 5632763 12508039 24187747 411191699 3339565781 56772618277 243788302013 4144401134221