Search a number
-
+
14024134410201 = 3317194673443443
BaseRepresentation
bin1100110000010011111110…
…0011001011111111011001
31211122200202001002000121000
43030010333203023333121
53314232411402111301
645454333131135213
72645132060430366
oct314047743137731
954580661060530
1014024134410201
1145176692a2243
1216a5b7a2a4509
137a9616051246
14366ab389546d
15194beeade786
hexcc13f8cbfd9

14024134410201 has 64 divisors (see below), whose sum is σ = 23206057804800. Its totient is φ = 8318474350848.

The previous prime is 14024134410157. The next prime is 14024134410233. The reversal of 14024134410201 is 10201443142041.

14024134410201 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 4 + 13 + 441 + 0 + 201 = 666.

It is not a de Polignac number, because 14024134410201 - 210 = 14024134409177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14024134410281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2350986 + ... + 5794428.

It is an arithmetic number, because the mean of its divisors is an integer number (362594653200).

Almost surely, 214024134410201 is an apocalyptic number.

It is an amenable number.

14024134410201 is a deficient number, since it is larger than the sum of its proper divisors (9181923394599).

14024134410201 is a wasteful number, since it uses less digits than its factorization.

14024134410201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443955 (or 3443949 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14024134410201 its reverse (10201443142041), we get a palindrome (24225577552242).

The spelling of 14024134410201 in words is "fourteen trillion, twenty-four billion, one hundred thirty-four million, four hundred ten thousand, two hundred one".

Divisors: 1 3 9 17 19 27 51 57 153 171 323 459 467 513 969 1401 2907 4203 7939 8721 8873 12609 23817 26619 71451 79857 150841 214353 239571 452523 1357569 3443443 4072707 10330329 30990987 58538531 65425417 92972961 175615593 196276251 526846779 588828753 1112232089 1580540337 1608087881 1766486259 3336696267 4824263643 10010088801 14472790929 27337493977 30030266403 30553669739 43418372787 82012481931 91661009217 246037445793 274983027651 519412385563 738112337379 824949082953 1558237156689 4674711470067 14024134410201