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14430135520 = 255294766169
BaseRepresentation
bin11010111000001101…
…00110010011100000
31101020122211211120201
431130012212103200
5214023103314040
610343515514544
71020410061643
oct153406462340
941218754521
1014430135520
116135487439
122968758a54
13148c772038
149ac683a5a
15596c9aa9a
hex35c1a64e0

14430135520 has 96 divisors (see below), whose sum is σ = 36017654400. Its totient is φ = 5454360576.

The previous prime is 14430135479. The next prime is 14430135553. The reversal of 14430135520 is 2553103441.

It is a super-2 number, since 2×144301355202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184996 + ... + 251164.

It is an arithmetic number, because the mean of its divisors is an integer number (375183900).

Almost surely, 214430135520 is an apocalyptic number.

14430135520 is a gapful number since it is divisible by the number (10) 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 14430135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18008827200).

14430135520 is an abundant number, since it is smaller than the sum of its proper divisors (21587518880).

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

14430135520 is a wasteful number, since it uses less digits than its factorization.

14430135520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66260 (or 66252 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 14430135520 its reverse (2553103441), we get a palindrome (16983238961).

The spelling of 14430135520 in words is "fourteen billion, four hundred thirty million, one hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 47 58 80 94 116 145 160 188 232 235 290 376 464 470 580 752 928 940 1160 1363 1504 1880 2320 2726 3760 4640 5452 6815 7520 10904 13630 21808 27260 43616 54520 66169 109040 132338 218080 264676 330845 529352 661690 1058704 1323380 1918901 2117408 2646760 3109943 3837802 5293520 6219886 7675604 9594505 10587040 12439772 15351208 15549715 19189010 24879544 30702416 31099430 38378020 49759088 61404832 62198860 76756040 90188347 99518176 124397720 153512080 180376694 248795440 307024160 360753388 450941735 497590880 721506776 901883470 1443013552 1803766940 2886027104 3607533880 7215067760 14430135520