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14444443104 = 2537131653439
BaseRepresentation
bin11010111001111010…
…01011010111100000
31101021122202201220020
431130331023113200
5214040234134404
610345150313440
71020642512010
oct153475132740
941248681806
1014444443104
116142569993
1229714b8880
131492711470
149b0529c40
15598174ed9
hex35cf4b5e0

14444443104 has 96 divisors (see below), whose sum is σ = 46666690560. Its totient is φ = 3809521152.

The previous prime is 14444443081. The next prime is 14444443109. The reversal of 14444443104 is 40134444441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444443109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817984 + ... + 835455.

It is an arithmetic number, because the mean of its divisors is an integer number (486111360).

Almost surely, 214444443104 is an apocalyptic number.

14444443104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14444443104 is an abundant number, since it is smaller than the sum of its proper divisors (32222247456).

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

14444443104 is a wasteful number, since it uses less digits than its factorization.

14444443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653472 (or 1653464 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 14444443104 its reverse (40134444441), we get a palindrome (54578887545).

The spelling of 14444443104 in words is "fourteen billion, four hundred forty-four million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 1653439 3306878 4960317 6613756 9920634 11574073 13227512 19841268 21494707 23148146 26455024 34722219 39682536 42989414 46296292 52910048 64484121 69444438 79365072 85978828 92592584 128968242 138888876 150462949 158730144 171957656 185185168 257936484 277777752 300925898 343915312 370370336 451388847 515872968 555555504 601851796 687830624 902777694 1031745936 1111111008 1203703592 1805555388 2063491872 2407407184 3611110776 4814814368 7222221552 14444443104