Search a number
-
+
14330203133312 = 2711234310290901
BaseRepresentation
bin1101000010001000001010…
…1010101101010110000000
31212201221202111101010101202
43100202002222231112000
53334241224000231222
650251112054120332
73006215535566243
oct320420252552600
955657674333352
1014330203133312
114625450098a90
1217353580500a8
137cc44225b171
1437782a9b525a
1519cb64e5d892
hexd0882aad580

14330203133312 has 128 divisors (see below), whose sum is σ = 33253609086720. Its totient is φ = 6085626624000.

The previous prime is 14330203133287. The next prime is 14330203133399. The reversal of 14330203133312 is 21333130203341.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3752939 + ... + 6537962.

It is an arithmetic number, because the mean of its divisors is an integer number (259793820990).

Almost surely, 214330203133312 is an apocalyptic number.

It is an amenable number.

14330203133312 is an abundant number, since it is smaller than the sum of its proper divisors (18923405953408).

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

14330203133312 is a wasteful number, since it uses less digits than its factorization.

14330203133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10290992 (or 10290980 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 14330203133312 its reverse (21333130203341), we get a palindrome (35663333336653).

The spelling of 14330203133312 in words is "fourteen trillion, three hundred thirty billion, two hundred three million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 43 44 46 64 86 88 92 128 172 176 184 253 344 352 368 473 506 688 704 736 946 989 1012 1376 1408 1472 1892 1978 2024 2752 2944 3784 3956 4048 5504 7568 7912 8096 10879 15136 15824 16192 21758 30272 31648 32384 43516 60544 63296 87032 126592 174064 348128 696256 1392512 10290901 20581802 41163604 82327208 113199911 164654416 226399822 236690723 329308832 442508743 452799644 473381446 658617664 885017486 905599288 946762892 1317235328 1770034972 1811198576 1893525784 2603597953 3540069944 3622397152 3787051568 4867596173 5207195906 7080139888 7244794304 7574103136 9735192346 10177701089 10414391812 14160279776 14489588608 15148206272 19470384692 20355402178 20828783624 28320559552 30296412544 38940769384 40710804356 41657567248 56641119104 77881538768 81421608712 83315134496 111954711979 155763077536 162843217424 166630268992 223909423958 311526155072 325686434848 333260537984 447818847916 623052310144 651372869696 895637695832 1302745739392 1791275391664 3582550783328 7165101566656 14330203133312