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111042414 = 2347181541
BaseRepresentation
bin1101001111001…
…01111101101110
321201221112120000
412213211331232
5211411324124
615004005130
72515562550
oct647457556
9251845500
10111042414
115775389a
12312307a6
131a00b992
1410a674d0
159b366c9
hex69e5f6e

111042414 has 80 divisors (see below), whose sum is σ = 286462176. Its totient is φ = 31492800.

The previous prime is 111042401. The next prime is 111042427. The reversal of 111042414 is 414240111.

It is an interprime number because it is at equal distance from previous prime (111042401) and next prime (111042427).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 204984 + ... + 205524.

Almost surely, 2111042414 is an apocalyptic number.

111042414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111042414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143231088).

111042414 is an abundant number, since it is smaller than the sum of its proper divisors (175419762).

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

111042414 is a wasteful number, since it uses less digits than its factorization.

111042414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 111042414 is about 10537.6664399667. Note that the first 3 decimals coincide. The cubic root of 111042414 is about 480.6507579639.

Adding to 111042414 its reverse (414240111), we get a palindrome (525282525).

The spelling of 111042414 in words is "one hundred eleven million, forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 181 189 362 378 541 543 567 1082 1086 1134 1267 1623 1629 2534 3246 3258 3787 3801 4869 4887 7574 7602 9738 9774 11361 11403 14607 14661 22722 22806 29214 29322 34083 34209 43821 68166 68418 87642 97921 102249 102627 195842 204498 205254 293763 306747 587526 613494 685447 881289 1370894 1762578 2056341 2643867 4112682 5287734 6169023 7931601 12338046 15863202 18507069 37014138 55521207 111042414