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14044011066 = 2331721038737
BaseRepresentation
bin11010001010001011…
…01001101000111010
31100020202021200102000
431011011221220322
5212230231323231
610241323521430
71005011060451
oct150505515072
940222250360
1014044011066
115a57529418
12287b389276
13142a77b327
14973291b98
15572e286e6
hex345169a3a

14044011066 has 96 divisors (see below), whose sum is σ = 33478423680. Its totient is φ = 4362688512.

The previous prime is 14044011061. The next prime is 14044011067. The reversal of 14044011066 is 66011044041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14044011061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1603050 + ... + 1611786.

It is an arithmetic number, because the mean of its divisors is an integer number (348733580).

Almost surely, 214044011066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14044011066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16739211840).

14044011066 is an abundant number, since it is smaller than the sum of its proper divisors (19434412614).

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

14044011066 is a wasteful number, since it uses less digits than its factorization.

14044011066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8885 (or 8862 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 14044011066 in words is "fourteen billion, forty-four million, eleven thousand, sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 103 153 206 289 306 309 459 578 618 867 918 927 1734 1751 1854 2601 2781 3502 5202 5253 5562 7803 8737 10506 15606 15759 17474 26211 29767 31518 47277 52422 59534 78633 89301 94554 148529 157266 178602 235899 267903 297058 445587 471798 535806 803709 891174 899911 1336761 1607418 1799822 2524993 2673522 2699733 4010283 5049986 5399466 7574979 8020566 8099199 15149958 15298487 16198398 22724937 24297597 30596974 45449874 45895461 48595194 68174811 91790922 136349622 137686383 260074279 275372766 413059149 520148558 780222837 826118298 1560445674 2340668511 4681337022 7022005533 14044011066