Search a number
-
+
14042043501453 = 3311217473353419
BaseRepresentation
bin1100110001010110101100…
…0000111100101110001101
31211201101222011012010021000
43030111223000330232031
53320031101114021303
645510454205130513
72646334633253412
oct314255300745615
954641864163230
1014042043501453
114524219532600
1216a9537b59a39
137ab20b4a2066
143678d21ba109
151953ebedbda3
hexcc56b03cb8d

14042043501453 has 96 divisors (see below), whose sum is σ = 24216773212800. Its totient is φ = 8007879559680.

The previous prime is 14042043501433. The next prime is 14042043501463. The reversal of 14042043501453 is 35410534024041.

14042043501453 is a `hidden beast` number, since 1 + 4 + 0 + 420 + 43 + 50 + 145 + 3 = 666.

14042043501453 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14042043501453 - 214 = 14042043485069 is a prime.

It is a super-2 number, since 2×140420435014532 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042043501433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262839378 + ... + 262892796.

It is an arithmetic number, because the mean of its divisors is an integer number (252258054300).

Almost surely, 214042043501453 is an apocalyptic number.

It is an amenable number.

14042043501453 is a deficient number, since it is larger than the sum of its proper divisors (10174729711347).

14042043501453 is a wasteful number, since it uses less digits than its factorization.

14042043501453 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58200 (or 58183 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 14042043501453 its reverse (35410534024041), we get a palindrome (49452577525494).

The spelling of 14042043501453 in words is "fourteen trillion, forty-two billion, forty-three million, five hundred one thousand, four hundred fifty-three".

Divisors: 1 3 9 11 17 27 33 51 99 121 153 187 297 363 459 561 1089 1683 2057 3267 4733 5049 6171 14199 18513 42597 52063 53419 55539 80461 127791 156189 160257 241383 468567 480771 572693 587609 724149 885071 908123 1405701 1442313 1718079 1762827 2172447 2655213 2724369 5154237 5288481 6463699 7965639 8173107 9735781 9989353 15462711 15865443 19391097 23896917 24519321 29207343 29968059 58173291 87622029 89904177 109882883 174519873 252832127 262866087 269712531 329648649 758496381 988945947 2275489143 2781153397 2966837841 4298146159 6826467429 8343460191 12894438477 25030380573 30592687367 38683315431 47279607749 75091141719 91778062101 116049946293 141838823247 275334186303 425516469741 520075685239 826002558909 1276549409223 1560227055717 4680681167151 14042043501453