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14316438444 = 223711103150427
BaseRepresentation
bin11010101010101001…
…11000001110101100
31100221201220102111220
431111110320032230
5213310002012234
610324334543340
71014526501410
oct152524701654
940851812456
1014316438444
116087290110
122936667b50
131472043c69
1499b528d40
1558bcdca49
hex3555383ac

14316438444 has 96 divisors (see below), whose sum is σ = 42052448256. Its totient is φ = 3682428480.

The previous prime is 14316438419. The next prime is 14316438467. The reversal of 14316438444 is 44483461341.

14316438444 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 2×143164384442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14316438396 and 14316438405.

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 31 ways as a sum of consecutive naturals, for example, 19959 + ... + 170385.

It is an arithmetic number, because the mean of its divisors is an integer number (438046336).

Almost surely, 214316438444 is an apocalyptic number.

14316438444 is a gapful number since it is divisible by the number (14) 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 14316438444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21026224128).

14316438444 is an abundant number, since it is smaller than the sum of its proper divisors (27736009812).

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

14316438444 is a wasteful number, since it uses less digits than its factorization.

14316438444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150555 (or 150553 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

Adding to 14316438444 its reverse (44483461341), we get a palindrome (58799899785).

The spelling of 14316438444 in words is "fourteen billion, three hundred sixteen million, four hundred thirty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 103 132 154 206 231 308 309 412 462 618 721 924 1133 1236 1442 2163 2266 2884 3399 4326 4532 6798 7931 8652 13596 15862 23793 31724 47586 95172 150427 300854 451281 601708 902562 1052989 1654697 1805124 2105978 3158967 3309394 4211956 4964091 6317934 6618788 9928182 11582879 12635868 15493981 19856364 23165758 30987962 34748637 46331516 46481943 61975924 69497274 92963886 108457867 138994548 170433791 185927772 216915734 325373601 340867582 433831468 511301373 650747202 681735164 1022602746 1193036537 1301494404 2045205492 2386073074 3579109611 4772146148 7158219222 14316438444