Search a number
-
+
111140043131034 = 236436832595517
BaseRepresentation
bin11001010001010011001110…
…110010101000100010011010
3112120111212212200211101000000
4121101103032302220202122
5104031404302020143114
61032213010404353430
732260413606323421
oct3121231662504232
9476455780741000
10111140043131034
113245a255a29205
121056b8276a5876
134a025cc0509b8
141d632c76022b8
15ccb01a869e09
hex6514ceca889a

111140043131034 has 112 divisors (see below), whose sum is σ = 256138133198112. Its totient is φ = 36132136707744.

The previous prime is 111140043131011. The next prime is 111140043131063. The reversal of 111140043131034 is 430131340041111.

111140043131034 is a `hidden beast` number, since 1 + 111 + 400 + 43 + 1 + 3 + 103 + 4 = 666.

It is a super-5 number, since 5×1111400431310345 (a number of 71 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 111140043130989 and 111140043131007.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 41522244 + ... + 44117760.

Almost surely, 2111140043131034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111140043131034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128069066599056).

111140043131034 is an abundant number, since it is smaller than the sum of its proper divisors (144998090067078).

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

111140043131034 is an equidigital number, since it uses as much as digits as its factorization.

111140043131034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596263 (or 2596248 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 111140043131034 its reverse (430131340041111), we get a palindrome (541271383172145).

The spelling of 111140043131034 in words is "one hundred eleven trillion, one hundred forty billion, forty-three million, one hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 486 683 729 774 1161 1366 1458 2049 2322 3483 4098 6147 6966 10449 12294 18441 20898 29369 31347 36882 55323 58738 62694 88107 110646 165969 176214 264321 331938 497907 528642 792963 995814 1585926 2378889 2595517 4757778 5191034 7136667 7786551 14273334 15573102 21410001 23359653 42820002 46719306 70078959 111607231 140157918 210236877 223214462 334821693 420473754 630710631 669643386 1004465079 1261421262 1772738111 1892131893 2008930158 3013395237 3545476222 3784263786 5318214333 6026790474 9040185711 10636428666 15954642999 18080371422 27120557133 31909285998 47863928997 54241114266 76227738773 81361671399 95727857994 143591786991 152455477546 162723342798 228683216319 287183573982 430775360973 457366432638 686049648957 861550721946 1292326082919 1372099297914 2058148946871 2584652165838 4116297893742 6174446840613 12348893681226 18523340521839 37046681043678 55570021565517 111140043131034