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14413004430 = 23511178928867
BaseRepresentation
bin11010110110001010…
…01111111010001110
31101012110121111010220
431123011033322032
5214004212120210
610342104412210
71020111342036
oct153305177216
941173544126
1014413004430
116126846610
122962a77066
1314890546b6
149aa2a48c6
15595514c70
hex35b14fe8e

14413004430 has 128 divisors (see below), whose sum is σ = 40405962240. Its totient is φ = 3251466240.

The previous prime is 14413004429. The next prime is 14413004483. The reversal of 14413004430 is 3440031441.

It is a self number, because there is not a number n which added to its sum of digits gives 14413004430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 484857 + ... + 513723.

It is an arithmetic number, because the mean of its divisors is an integer number (315671580).

Almost surely, 214413004430 is an apocalyptic number.

14413004430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14413004430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20202981120).

14413004430 is an abundant number, since it is smaller than the sum of its proper divisors (25992957810).

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

14413004430 is a wasteful number, since it uses less digits than its factorization.

14413004430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28994.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14413004430 its reverse (3440031441), we get a palindrome (17853035871).

The spelling of 14413004430 in words is "fourteen billion, four hundred thirteen million, four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 89 102 110 165 170 178 187 255 267 330 374 445 510 534 561 890 935 979 1122 1335 1513 1870 1958 2670 2805 2937 3026 4539 4895 5610 5874 7565 9078 9790 14685 15130 16643 22695 28867 29370 33286 45390 49929 57734 83215 86601 99858 144335 166430 173202 249645 288670 317537 433005 490739 499290 635074 866010 952611 981478 1472217 1587685 1905222 2453695 2569163 2944434 3175370 4763055 4907390 5138326 5398129 7361085 7707489 9526110 10796258 12845815 14722170 15414978 16194387 25691630 26990645 28260793 32388774 38537445 43675771 53981290 56521586 77074890 80971935 84782379 87351542 131027313 141303965 161943870 169564758 218378855 262054626 282607930 423911895 436757710 480433481 655136565 847823790 960866962 1310273130 1441300443 2402167405 2882600886 4804334810 7206502215 14413004430