Search a number
-
+
14112511414101 = 32231812473152311
BaseRepresentation
bin1100110101011101001100…
…1110101100111101010101
31211222010212011222222121200
43031113103032230331111
53322204410410222401
650003110453103113
72654411121526032
oct315272316547525
954863764888550
1014112511414101
11455109a865341
1216bb123627a99
137b4a5b8486a9
1436b098dd4389
15197173728686
hexcd5d33acf55

14112511414101 has 48 divisors (see below), whose sum is σ = 21397340520192. Its totient is φ = 8945885203200.

The previous prime is 14112511414093. The next prime is 14112511414163. The reversal of 14112511414101 is 10141411521141.

14112511414101 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 2 + 511 + 4 + 141 + 0 + 1 = 666.

It is not a de Polignac number, because 14112511414101 - 23 = 14112511414093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14112511414171) 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, 92579736 + ... + 92732046.

It is an arithmetic number, because the mean of its divisors is an integer number (445777927504).

Almost surely, 214112511414101 is an apocalyptic number.

It is an amenable number.

14112511414101 is a deficient number, since it is larger than the sum of its proper divisors (7284829106091).

14112511414101 is a wasteful number, since it uses less digits than its factorization.

14112511414101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154994 (or 154991 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

Adding to 14112511414101 its reverse (10141411521141), we get a palindrome (24253922935242).

The spelling of 14112511414101 in words is "fourteen trillion, one hundred twelve billion, five hundred eleven million, four hundred fourteen thousand, one hundred one".

Divisors: 1 3 9 23 69 181 207 543 1629 2473 4163 7419 12489 22257 37467 56879 152311 170637 447613 456933 511911 1342839 1370799 3503153 4028517 10295099 10509459 27568291 30885297 31528377 82704873 92655891 248114619 376665103 634070693 1129995309 1902212079 3389985927 5706636237 8663297369 25989892107 68176383643 77969676321 204529150929 613587452787 1568056823789 4704170471367 14112511414101