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201442340131140 = 223519317395711583
BaseRepresentation
bin101101110011010111110011…
…001000000101000101000100
3222102020200220001001100222110
4231303113303020011011010
5202400412403033144030
61552233200012101020
760300504656202243
oct5563276310050504
9872220801040873
10201442340131140
115920524245a859
121a714a60164770
138852c14a01894
1437a5c0b51495a
151844e9e3831b0
hexb735f3205144

201442340131140 has 48 divisors (see below), whose sum is σ = 566961031945728. Its totient is φ = 53439625979904.

The previous prime is 201442340131139. The next prime is 201442340131159. The reversal of 201442340131140 is 41131043244102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 201442340131098 and 201442340131107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8697844212 + ... + 8697867371.

It is an arithmetic number, because the mean of its divisors is an integer number (11811688165536).

Almost surely, 2201442340131140 is an apocalyptic number.

201442340131140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201442340131140 is an abundant number, since it is smaller than the sum of its proper divisors (365518691814588).

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

201442340131140 is a wasteful number, since it uses less digits than its factorization.

201442340131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17395711788 (or 17395711786 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 201442340131140 its reverse (41131043244102), we get a palindrome (242573383375242).

The spelling of 201442340131140 in words is "two hundred one trillion, four hundred forty-two billion, three hundred forty million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 193 386 579 772 965 1158 1930 2316 2895 3860 5790 11580 17395711583 34791423166 52187134749 69582846332 86978557915 104374269498 173957115830 208748538996 260935673745 347914231660 521871347490 1043742694980 3357372335519 6714744671038 10072117006557 13429489342076 16786861677595 20144234013114 33573723355190 40288468026228 50360585032785 67147446710380 100721170065570 201442340131140