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1143110988 = 223331421811
BaseRepresentation
bin100010000100010…
…0111110101001100
32221122222001111000
41010020213311030
54320114022423
6305232500300
740220166045
oct10410476514
92848861430
101143110988
11537290228
1227a9aa690
13152a96546
14abb618cc
156a54e843
hex44227d4c

1143110988 has 96 divisors (see below), whose sum is σ = 3070269440. Its totient is φ = 367416000.

The previous prime is 1143110981. The next prime is 1143110989. The reversal of 1143110988 is 8890113411.

It is a super-3 number, since 3×11431109883 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (1143110981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1409103 + ... + 1409913.

Almost surely, 21143110988 is an apocalyptic number.

1143110988 is a gapful number since it is divisible by the number (18) 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 1143110988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535134720).

1143110988 is an abundant number, since it is smaller than the sum of its proper divisors (1927158452).

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

1143110988 is a wasteful number, since it uses less digits than its factorization.

1143110988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 1143110988 is about 33809.9244009803. The cubic root of 1143110988 is about 1045.5933195007.

The spelling of 1143110988 in words is "one billion, one hundred forty-three million, one hundred ten thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 421 558 811 837 842 1116 1263 1622 1674 1684 2433 2526 3244 3348 3789 4866 5052 7299 7578 9732 11367 13051 14598 15156 21897 22734 25141 26102 29196 39153 43794 45468 50282 52204 75423 78306 87588 100564 117459 150846 156612 226269 234918 301692 341431 352377 452538 469836 678807 682862 704754 905076 1024293 1357614 1365724 1409508 2048586 2715228 3072879 4097172 6145758 9218637 10584361 12291516 18437274 21168722 31753083 36874548 42337444 63506166 95259249 127012332 190518498 285777747 381036996 571555494 1143110988