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14244013212 = 223111326213167
BaseRepresentation
bin11010100010000001…
…00110010010011100
31100202200121211202220
431101000212102130
5213132431410322
610313230345340
71012660054212
oct152100462234
940680554686
1014244013212
11604a412a50
12291635b250
1314600365b0
14991a74cb2
1558578355c
hex35102649c

14244013212 has 96 divisors (see below), whose sum is σ = 39073757184. Its totient is φ = 3981561600.

The previous prime is 14244013177. The next prime is 14244013213. The reversal of 14244013212 is 21231044241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14244013213) 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 31 ways as a sum of consecutive naturals, for example, 4496053 + ... + 4499219.

It is an arithmetic number, because the mean of its divisors is an integer number (407018304).

Almost surely, 214244013212 is an apocalyptic number.

14244013212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14244013212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19536878592).

14244013212 is an abundant number, since it is smaller than the sum of its proper divisors (24829743972).

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

14244013212 is a wasteful number, since it uses less digits than its factorization.

14244013212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819 (or 5817 counting only the distinct ones).

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

Adding to 14244013212 its reverse (21231044241), we get a palindrome (35475057453).

The spelling of 14244013212 in words is "fourteen billion, two hundred forty-four million, thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 2621 3167 5242 6334 7863 9501 10484 12668 15726 19002 28831 31452 34073 34837 38004 41171 57662 68146 69674 82342 86493 102219 104511 115324 123513 136292 139348 164684 172986 204438 209022 247026 345972 374803 408876 418044 452881 494052 749606 905762 1124409 1358643 1499212 1811524 2248818 2717286 4497636 5434572 8300707 16601414 24902121 33202828 49804242 91307777 99608484 107909191 182615554 215818382 273923331 323727573 365231108 431636764 547846662 647455146 1095693324 1187001101 1294910292 2374002202 3561003303 4748004404 7122006606 14244013212