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14444323212 = 22311271140111
BaseRepresentation
bin11010111001111001…
…01110000110001100
31101021122112122102210
431130330232012030
5214040221320322
610345143550420
71020641502324
oct153474560614
941248478383
1014444323212
116142497900
12297145b410
13149269ba17
149b04d8284
1559814e70c
hex35cf2e18c

14444323212 has 72 divisors (see below), whose sum is σ = 37567950336. Its totient is φ = 4315388000.

The previous prime is 14444323211. The next prime is 14444323213. The reversal of 14444323212 is 21232344441.

It is an interprime number because it is at equal distance from previous prime (14444323211) and next prime (14444323213).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14444323212.

It is not an unprimeable number, because it can be changed into a prime (14444323211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33037 + ... + 173147.

It is an arithmetic number, because the mean of its divisors is an integer number (521777088).

Almost surely, 214444323212 is an apocalyptic number.

14444323212 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 14444323212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18783975168).

14444323212 is an abundant number, since it is smaller than the sum of its proper divisors (23123627124).

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

14444323212 is a wasteful number, since it uses less digits than its factorization.

14444323212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140211 (or 140198 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 14444323212 its reverse (21232344441), we get a palindrome (35676667653).

The spelling of 14444323212 in words is "fourteen billion, four hundred forty-four million, three hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 121 132 142 213 242 284 363 426 484 726 781 852 1452 1562 2343 3124 4686 8591 9372 17182 25773 34364 51546 103092 140111 280222 420333 560444 840666 1541221 1681332 3082442 4623663 6164884 9247326 9947881 16953431 18494652 19895762 29843643 33906862 39791524 50860293 59687286 67813724 101720586 109426691 119374572 203441172 218853382 328280073 437706764 656560146 1203693601 1313120292 2407387202 3611080803 4814774404 7222161606 14444323212