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111043414040 = 235131132517529
BaseRepresentation
bin110011101101010110…
…1000000100000011000
3101121121210202220100112
41213122231000200120
53304404103222130
6123002421423452
711010521305616
oct1473255004030
9347553686315
10111043414040
1143103126569
121963026ab88
13a618727870
1455359d26b6
152d4da02495
hex19dab40818

111043414040 has 128 divisors (see below), whose sum is σ = 272565518400. Its totient is φ = 40470528000.

The previous prime is 111043413977. The next prime is 111043414049. The reversal of 111043414040 is 40414340111.

It is a junction number, because it is equal to n+sod(n) for n = 111043413997 and 111043414015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111043414049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14744996 + ... + 14752524.

Almost surely, 2111043414040 is an apocalyptic number.

111043414040 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 111043414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136282759200).

111043414040 is an abundant number, since it is smaller than the sum of its proper divisors (161522104360).

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

111043414040 is a wasteful number, since it uses less digits than its factorization.

111043414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7913 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 111043414040 its reverse (40414340111), we get a palindrome (151457754151).

The spelling of 111043414040 in words is "one hundred eleven billion, forty-three million, four hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 113 130 226 251 260 452 502 520 565 904 1004 1130 1255 1469 2008 2260 2510 2938 3263 4520 5020 5876 6526 7345 7529 10040 11752 13052 14690 15058 16315 26104 28363 29380 30116 32630 37645 56726 58760 60232 65260 75290 97877 113452 130520 141815 150580 195754 226904 283630 301160 368719 391508 489385 567260 737438 783016 850777 978770 1134520 1474876 1701554 1843595 1889779 1957540 2949752 3403108 3687190 3779558 3915080 4253885 6806216 7374380 7559116 8507770 9448895 11060101 14748760 15118232 17015540 18897790 22120202 24567127 34031080 37795580 44240404 49134254 55300505 75591160 88480808 98268508 110601010 122835635 196537016 213545027 221202020 245671270 427090054 442404040 491342540 854180108 982685080 1067725135 1708360216 2135450270 2776085351 4270900540 5552170702 8541801080 11104341404 13880426755 22208682808 27760853510 55521707020 111043414040