Search a number
-
+
14113212124024 = 23131753150614831
BaseRepresentation
bin1100110101011111110011…
…1111101100101101111000
31211222012200000111201221001
43031113330333230231320
53322212324300432044
650003304203454344
72654434360465066
oct315277477545570
954865600451831
1014113212124024
11455141a34a052
1216bb29a2273b4
137b4b40a75c50
1436b1240b5036
151971b4edb2d4
hexcd5fcfecb78

14113212124024 has 64 divisors (see below), whose sum is σ = 30743499507840. Its totient is φ = 6014953850880.

The previous prime is 14113212124021. The next prime is 14113212124031. The reversal of 14113212124024 is 42042121231141.

It is a super-3 number, since 3×141132121240243 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14113212123983 and 14113212124001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14113212124021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75213712 + ... + 75401119.

It is an arithmetic number, because the mean of its divisors is an integer number (480367179810).

Almost surely, 214113212124024 is an apocalyptic number.

It is an amenable number.

14113212124024 is an abundant number, since it is smaller than the sum of its proper divisors (16630287383816).

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

14113212124024 is a wasteful number, since it uses less digits than its factorization.

14113212124024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150614920 (or 150614916 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 14113212124024 its reverse (42042121231141), we get a palindrome (56155333355165).

The spelling of 14113212124024 in words is "fourteen trillion, one hundred thirteen billion, two hundred twelve million, one hundred twenty-four thousand, twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 53 68 104 106 136 212 221 424 442 689 884 901 1378 1768 1802 2756 3604 5512 7208 11713 23426 46852 93704 150614831 301229662 602459324 1204918648 1957992803 2560452127 3915985606 5120904254 7831971212 7982586043 10241808508 15663942424 15965172086 20483617016 31930344172 33285877651 63860688344 66571755302 103773618559 133143510604 135703962731 207547237118 266287021208 271407925462 415094474236 542815850924 830188948472 1085631701848 1764151515503 3528303031006 7056606062012 14113212124024