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14424333504 = 263729033697
BaseRepresentation
bin11010110111100000…
…11101110011000000
31101020020221001201020
431123300131303000
5214020112133004
610343151305440
71020306545310
oct153360356300
941206831636
1014424333504
116132184289
12296681b280
13148b4c01a9
149ab9b3440
155965018d9
hex35bc1dcc0

14424333504 has 112 divisors (see below), whose sum is σ = 43643263488. Its totient is φ = 4118704128.

The previous prime is 14424333479. The next prime is 14424333527. The reversal of 14424333504 is 40533342441.

14424333504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×144243335042 (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 15 ways as a sum of consecutive naturals, for example, 3899784 + ... + 3903480.

Almost surely, 214424333504 is an apocalyptic number.

14424333504 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 14424333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21821631744).

14424333504 is an abundant number, since it is smaller than the sum of its proper divisors (29218929984).

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

14424333504 is a wasteful number, since it uses less digits than its factorization.

14424333504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6622 (or 6612 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 14424333504 its reverse (40533342441), we get a palindrome (54957675945).

The spelling of 14424333504 in words is "fourteen billion, four hundred twenty-four million, three hundred thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2903 3697 5806 7394 8709 11091 11612 14788 17418 20321 22182 23224 25879 29576 34836 40642 44364 46448 51758 59152 60963 69672 77637 81284 88728 92896 103516 118304 121926 139344 155274 162568 177456 185792 207032 236608 243852 278688 310548 325136 354912 414064 487704 557376 621096 650272 709824 828128 975408 1242192 1300544 1656256 1950816 2484384 3901632 4968768 10732391 21464782 32197173 42929564 64394346 75126737 85859128 128788692 150253474 171718256 225380211 257577384 300506948 343436512 450760422 515154768 601013896 686873024 901520844 1030309536 1202027792 1803041688 2060619072 2404055584 3606083376 4808111168 7212166752 14424333504