Search a number
-
+
131141111334440 = 23515355392135099
BaseRepresentation
bin11101110100010110101011…
…010110110100011000101000
3122012022222010112022020020212
4131310112223112310120220
5114142103444000200230
61142525221142040252
736423426664051064
oct3564265326643050
9565288115266225
10131141111334440
11388706a6563279
1212860038a19088
13582372773174c
142455399682aa4
1510264343a5895
hex7745ab5b4628

131141111334440 has 32 divisors (see below), whose sum is σ = 295067830860000. Its totient is φ = 52456385803584.

The previous prime is 131141111334253. The next prime is 131141111334451. The reversal of 131141111334440 is 44433111141131.

It is a super-2 number, since 2×1311411113344402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131141111334397 and 131141111334406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60354011 + ... + 62489109.

It is an arithmetic number, because the mean of its divisors is an integer number (9220869714375).

Almost surely, 2131141111334440 is an apocalyptic number.

131141111334440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141111334440 is an abundant number, since it is smaller than the sum of its proper divisors (163926719525560).

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

131141111334440 is a wasteful number, since it uses less digits than its factorization.

131141111334440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670649 (or 3670645 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

Adding to 131141111334440 its reverse (44433111141131), we get a palindrome (175574222475571).

The spelling of 131141111334440 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred eleven million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1535539 2135099 3071078 4270198 6142156 7677695 8540396 10675495 12284312 15355390 17080792 21350990 30710780 42701980 61421560 85403960 3278527783361 6557055566722 13114111133444 16392638916805 26228222266888 32785277833610 65570555667220 131141111334440