Search a number
-
+
111414330040 = 2351317116310837
BaseRepresentation
bin110011111000011001…
…1111100001010111000
3101122120122201101110011
41213300303330022320
53311134032030130
6123103311431304
711022644115436
oct1476063741270
9348518641404
10111414330040
1143283537212
1219714525534
13a6775250a0
14556cd85d56
152d7136d52a
hex19f0cfc2b8

111414330040 has 128 divisors (see below), whose sum is σ = 286117997760. Its totient is φ = 38680879104.

The previous prime is 111414330029. The next prime is 111414330073. The reversal of 111414330040 is 40033414111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111414329993 and 111414330020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10275502 + ... + 10286338.

Almost surely, 2111414330040 is an apocalyptic number.

111414330040 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 111414330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143058998880).

111414330040 is an abundant number, since it is smaller than the sum of its proper divisors (174703667720).

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

111414330040 is a wasteful number, since it uses less digits than its factorization.

111414330040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12041 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 111414330040 its reverse (40033414111), we get a palindrome (151447744151).

The spelling of 111414330040 in words is "one hundred eleven billion, four hundred fourteen million, three hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1163 1768 2210 2326 4420 4652 5815 8840 9304 10837 11630 15119 19771 21674 23260 30238 39542 43348 46520 54185 60476 75595 79084 86696 98855 108370 120952 140881 151190 158168 184229 197710 216740 257023 281762 302380 368458 395420 433480 514046 563524 604760 704405 736916 790840 921145 1028092 1127048 1285115 1408810 1473832 1842290 2056184 2394977 2570230 2817620 3684580 4789954 5140460 5635240 7369160 9579908 10280920 11974885 12603431 19159816 23949770 25206862 47899540 50413724 63017155 95799080 100827448 126034310 163844603 214258327 252068620 327689206 428516654 504137240 655378412 819223015 857033308 1071291635 1310756824 1638446030 1714066616 2142583270 2785358251 3276892060 4285166540 5570716502 6553784120 8570333080 11141433004 13926791255 22282866008 27853582510 55707165020 111414330040