Search a number
-
+
114542222310340 = 2251110317329218613
BaseRepresentation
bin11010000010110011110000…
…011110001111101111000100
3120000120010111102011210110121
4122002303300132033233010
5110003124432402412330
61043335545343431324
733061255022233126
oct3202636036175704
9500503442153417
10114542222310340
11335510a1425a10
1210a1b0725b5544
134bbb392810736
14203dc31c79216
15d3978ce6017a
hex682cf078fbc4

114542222310340 has 96 divisors (see below), whose sum is σ = 266484979627776. Its totient is φ = 41008906314240.

The previous prime is 114542222310323. The next prime is 114542222310353. The reversal of 114542222310340 is 43013222245411.

It is a junction number, because it is equal to n+sod(n) for n = 114542222310296 and 114542222310305.

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, 10689127 + ... + 18529486.

It is an arithmetic number, because the mean of its divisors is an integer number (2775885204456).

Almost surely, 2114542222310340 is an apocalyptic number.

114542222310340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114542222310340 is an abundant number, since it is smaller than the sum of its proper divisors (151942757317436).

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

114542222310340 is a wasteful number, since it uses less digits than its factorization.

114542222310340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29218909 (or 29218907 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 114542222310340 its reverse (43013222245411), we get a palindrome (157555444555751).

The spelling of 114542222310340 in words is "one hundred fourteen trillion, five hundred forty-two billion, two hundred twenty-two million, three hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 173 206 220 346 412 515 692 865 1030 1133 1730 1903 2060 2266 3460 3806 4532 5665 7612 9515 11330 17819 19030 22660 35638 38060 71276 89095 178190 196009 356380 392018 784036 980045 1960090 3920180 29218613 58437226 116874452 146093065 292186130 321404743 584372260 642809486 1285618972 1607023715 3009517139 3214047430 5054820049 6019034278 6428094860 10109640098 12038068556 15047585695 20219280196 25274100245 30095171390 33104688529 50548200490 55603020539 60190342780 66209377058 101096400980 111206041078 132418754116 165523442645 222412082156 278015102695 331046885290 520646465047 556030205390 662093770580 1041292930094 1112060410780 2082585860188 2603232325235 5206464650470 5727111115517 10412929300940 11454222231034 22908444462068 28635555577585 57271111155170 114542222310340