Search a number
-
+
14113510305012 = 22324359154529741
BaseRepresentation
bin1100110101100000111011…
…0001001010110011110100
31211222020102210120220100100
43031120032301022303310
53322213432114230022
650003353534514100
72654444641130316
oct315301661126364
954866383526310
1014113510305012
1145515626a0918
1216bb362065930
137b4b8a787ac1
1436b1519337b6
151971d128b1ac
hexcd60ec4acf4

14113510305012 has 72 divisors (see below), whose sum is σ = 37124225218080. Its totient is φ = 4517213359680.

The previous prime is 14113510304981. The next prime is 14113510305023. The reversal of 14113510305012 is 21050301531141.

14113510305012 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 351 + 0 + 305 + 0 + 1 + 2 = 666.

14113510305012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77173539 + ... + 77356202.

It is an arithmetic number, because the mean of its divisors is an integer number (515614239140).

Almost surely, 214113510305012 is an apocalyptic number.

14113510305012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14113510305012 is an abundant number, since it is smaller than the sum of its proper divisors (23010714913068).

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

14113510305012 is a wasteful number, since it uses less digits than its factorization.

14113510305012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154529853 (or 154529848 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 14113510305012 its reverse (21050301531141), we get a palindrome (35163811836153).

The spelling of 14113510305012 in words is "fourteen trillion, one hundred thirteen billion, five hundred ten million, three hundred five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 59 86 118 129 172 177 236 258 354 387 516 531 708 774 1062 1548 2124 2537 5074 7611 10148 15222 22833 30444 45666 91332 154529741 309059482 463589223 618118964 927178446 1390767669 1854356892 2781535338 5563070676 6644778863 9117254719 13289557726 18234509438 19934336589 26579115452 27351764157 36469018876 39868673178 54703528314 59803009767 79737346356 82055292471 109407056628 119606019534 164110584942 239212039068 328221169884 392041952917 784083905834 1176125858751 1568167811668 2352251717502 3528377576253 4704503435004 7056755152506 14113510305012