Search a number
-
+
115441142310 = 232513175803979
BaseRepresentation
bin110101110000011010…
…1000000101000100110
3102000222021212122102100
41223200311000220212
53342410413023220
6125011040152530
711224511343054
oct1534065005046
9360867778370
10115441142310
1144a5a57393a
121a459008746
13ab69873840
145831ab91d4
153009b3cd90
hex1ae0d40a26

115441142310 has 96 divisors (see below), whose sum is σ = 342249092640. Its totient is φ = 26744730624.

The previous prime is 115441142281. The next prime is 115441142317. The reversal of 115441142310 is 13241144511.

It is a happy number.

115441142310 is a `hidden beast` number, since 1 + 1 + 544 + 114 + 2 + 3 + 1 + 0 = 666.

It is a super-3 number, since 3×1154411423103 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115441142317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2882100 + ... + 2921879.

It is an arithmetic number, because the mean of its divisors is an integer number (3565094715).

Almost surely, 2115441142310 is an apocalyptic number.

115441142310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115441142310 is an abundant number, since it is smaller than the sum of its proper divisors (226807950330).

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

115441142310 is a wasteful number, since it uses less digits than its factorization.

115441142310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5804022 (or 5804019 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 115441142310 its reverse (13241144511), we get a palindrome (128682286821).

The spelling of 115441142310 in words is "one hundred fifteen billion, four hundred forty-one million, one hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6630 9945 19890 5803979 11607958 17411937 29019895 34823874 52235811 58039790 75451727 87059685 98667643 104471622 150903454 174119370 197335286 226355181 261179055 296002929 377258635 452710362 493338215 522358110 592005858 679065543 754517270 888008787 986676430 1131775905 1282679359 1358131086 1480014645 1776017574 2263551810 2565358718 2960029290 3395327715 3848038077 4440043935 6413396795 6790655430 7696076154 8880087870 11544114231 12826793590 19240190385 23088228462 38480380770 57720571155 115441142310