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14011324012 = 2272535922861
BaseRepresentation
bin11010000110010001…
…11101011001101100
31100011110210000012101
431003020331121230
5212143344332022
610234155144444
71004133201100
oct150310753154
940143700171
1014011324012
115a40033124
122870445124
131423a7528a
1496cbc3900
1557011d627
hex34323d66c

14011324012 has 72 divisors (see below), whose sum is σ = 29555079120. Its totient is φ = 5791443840.

The previous prime is 14011324001. The next prime is 14011324031. The reversal of 14011324012 is 21042311041.

14011324012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140113240122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 601462 + ... + 624322.

It is an arithmetic number, because the mean of its divisors is an integer number (410487210).

Almost surely, 214011324012 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 14011324012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14777539560).

14011324012 is an abundant number, since it is smaller than the sum of its proper divisors (15543755108).

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

14011324012 is a wasteful number, since it uses less digits than its factorization.

14011324012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22991 (or 22982 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 14011324012 its reverse (21042311041), we get a palindrome (35053635053).

The spelling of 14011324012 in words is "fourteen billion, eleven million, three hundred twenty-four thousand, twelve".

Divisors: 1 2 4 7 14 28 49 53 59 98 106 118 196 212 236 371 413 742 826 1484 1652 2597 2891 3127 5194 5782 6254 10388 11564 12508 21889 22861 43778 45722 87556 91444 153223 160027 306446 320054 612892 640108 1120189 1211633 1348799 2240378 2423266 2697598 4480756 4846532 5395196 8481431 9441593 16962862 18883186 33925724 37766372 59370017 66091151 71486347 118740034 132182302 142972694 237480068 264364604 285945388 500404429 1000808858 2001617716 3502831003 7005662006 14011324012