Search a number
-
+
14224100124321 = 334393739130699
BaseRepresentation
bin1100111011111100111001…
…1011110110011010100001
31212100210212222211210201000
43032333032123312122201
53331021424112434241
650130243354302213
72665441314105513
oct316771633663241
955323788753630
1014224100124321
1145944527759aa
121718886427969
137c24332276c9
143726431adbb3
1519a00503eeb6
hexcefce6f66a1

14224100124321 has 32 divisors (see below), whose sum is σ = 21563199680000. Its totient is φ = 9262035057744.

The previous prime is 14224100124313. The next prime is 14224100124329. The reversal of 14224100124321 is 12342100142241.

14224100124321 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 410 + 0 + 1 + 243 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (14224100124313) and next prime (14224100124329).

It is not a de Polignac number, because 14224100124321 - 23 = 14224100124313 is a prime.

It is a super-2 number, since 2×142241001243212 (a number of 27 digits) contains 22 as substring.

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 (14224100124329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108765630 + ... + 108896328.

It is an arithmetic number, because the mean of its divisors is an integer number (673849990000).

Almost surely, 214224100124321 is an apocalyptic number.

It is an amenable number.

14224100124321 is a deficient number, since it is larger than the sum of its proper divisors (7339099555679).

14224100124321 is a wasteful number, since it uses less digits than its factorization.

14224100124321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224490 (or 224484 counting only the distinct ones).

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

Adding to 14224100124321 its reverse (12342100142241), we get a palindrome (26566200266562).

The spelling of 14224100124321 in words is "fourteen trillion, two hundred twenty-four billion, one hundred million, one hundred twenty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 27 43 129 387 1161 93739 130699 281217 392097 843651 1176291 2530953 3528873 4030777 5620057 12092331 16860171 36276993 50580513 108830979 151741539 12251593561 36754780683 110264342049 330793026147 526818523123 1580455569369 4741366708107 14224100124321