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11143402452 = 22327135957653
BaseRepresentation
bin10100110000011001…
…01101001111010100
31001202121021111102100
422120030231033110
5140310202334302
65041425442100
7543100233540
oct123014551724
931677244370
1011143402452
1147a9184216
1221abaa0330
131087856580
14779d5ca20
15453468d1c
hex29832d3d4

11143402452 has 144 divisors (see below), whose sum is σ = 35256574080. Its totient is φ = 2889057024.

The previous prime is 11143402451. The next prime is 11143402493. The reversal of 11143402452 is 25420434111.

It is a super-2 number, since 2×111434024522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11143402451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164458 + ... + 222110.

It is an arithmetic number, because the mean of its divisors is an integer number (244837320).

Almost surely, 211143402452 is an apocalyptic number.

11143402452 is a gapful number since it is divisible by the number (12) 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 11143402452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17628287040).

11143402452 is an abundant number, since it is smaller than the sum of its proper divisors (24113171628).

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

11143402452 is a wasteful number, since it uses less digits than its factorization.

11143402452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57742 (or 57737 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11143402452 its reverse (25420434111), we get a palindrome (36563836563).

It can be divided in two parts, 11143 and 402452, that added together give a triangular number (413595 = T909).

The spelling of 11143402452 in words is "eleven billion, one hundred forty-three million, four hundred two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 59 63 78 84 91 117 118 126 156 177 182 234 236 252 273 354 364 413 468 531 546 708 767 819 826 1062 1092 1239 1534 1638 1652 2124 2301 2478 3068 3276 3717 4602 4956 5369 6903 7434 9204 10738 13806 14868 16107 21476 27612 32214 48321 57653 64428 96642 115306 172959 193284 230612 345918 403571 518877 691836 749489 807142 1037754 1210713 1498978 1614284 2075508 2248467 2421426 2997956 3401527 3632139 4496934 4842852 5246423 6745401 6803054 7264278 8993868 10204581 10492846 13490802 13606108 14528556 15739269 20409162 20985692 23810689 26981604 30613743 31478538 40818324 44219851 47217807 47621378 61227486 62957076 71432067 88439702 94435614 95242756 122454972 132659553 142864134 176879404 188871228 214296201 265319106 285728268 309538957 397978659 428592402 530638212 619077914 795957318 857184804 928616871 1238155828 1591914636 1857233742 2785850613 3714467484 5571701226 11143402452