Search a number
-
+
14014110024024 = 23311312117008571
BaseRepresentation
bin1100101111101110101000…
…0011001100000101011000
31211121201212102102102220220
43023323222003030011120
53314101344131232044
645445554313520040
72644325465520615
oct313735203140530
954551772372826
1014014110024024
114513394841570
1216a4041113020
137a86a92a60a6
143664023c550c
15194814a16019
hexcbeea0cc158

14014110024024 has 64 divisors (see below), whose sum is σ = 38232548484480. Its totient is φ = 4245339072000.

The previous prime is 14014110024011. The next prime is 14014110024029. The reversal of 14014110024024 is 42042001141041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14014110023985 and 14014110024003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14014110024029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7680342 + ... + 9328229.

It is an arithmetic number, because the mean of its divisors is an integer number (597383570070).

Almost surely, 214014110024024 is an apocalyptic number.

It is an amenable number.

14014110024024 is an abundant number, since it is smaller than the sum of its proper divisors (24218438460456).

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

14014110024024 is a wasteful number, since it uses less digits than its factorization.

14014110024024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17011712 (or 17011708 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14014110024024 its reverse (42042001141041), we get a palindrome (56056111165065).

The spelling of 14014110024024 in words is "fourteen trillion, fourteen billion, one hundred ten million, twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 3121 6242 9363 12484 18726 24968 34331 37452 68662 74904 102993 137324 205986 274648 411972 823944 17008571 34017142 51025713 68034284 102051426 136068568 187094281 204102852 374188562 408205704 561282843 748377124 1122565686 1496754248 2245131372 4490262744 53083750091 106167500182 159251250273 212335000364 318502500546 424670000728 583921251001 637005001092 1167842502002 1274010002184 1751763753003 2335685004004 3503527506006 4671370008008 7007055012012 14014110024024