Search a number
-
+
14224310224124 = 2271131329359711
BaseRepresentation
bin1100111011111101101011…
…1101010100010011111100
31212100211102122011222110012
43032333122331110103330
53331022341404132444
650130320301402352
72665446444656420
oct316773275242374
955324378158405
1014224310224124
114594550327000
1217189248693b8
137c2467909b10
14372663060b80
1519a0186e1b9e
hexcefdaf544fc

14224310224124 has 96 divisors (see below), whose sum is σ = 33698372800512. Its totient is φ = 5115635870400.

The previous prime is 14224310224097. The next prime is 14224310224129. The reversal of 14224310224124 is 42142201342241.

It is a super-2 number, since 2×142243102241242 (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 (14224310224129) 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, 14195372 + ... + 15164339.

It is an arithmetic number, because the mean of its divisors is an integer number (351024716672).

Almost surely, 214224310224124 is an apocalyptic number.

14224310224124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14224310224124 is an abundant number, since it is smaller than the sum of its proper divisors (19474062576388).

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

14224310224124 is a wasteful number, since it uses less digits than its factorization.

14224310224124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29359768 (or 29359744 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 14224310224124 its reverse (42142201342241), we get a palindrome (56366511566365).

The spelling of 14224310224124 in words is "fourteen trillion, two hundred twenty-four billion, three hundred ten million, two hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 1001 1331 1573 1694 2002 2662 3146 3388 4004 5324 6292 9317 11011 17303 18634 22022 34606 37268 44044 69212 121121 242242 484484 29359711 58719422 117438844 205517977 322956821 381676243 411035954 645913642 763352486 822071908 1291827284 1526704972 2260697747 2671733701 3552525031 4198438673 4521395494 5343467402 7105050062 8396877346 9042790988 10686934804 14210100124 16793754692 24867675217 29389070711 39077775341 46182825403 49735350434 58778141422 78155550682 92365650806 99470700868 117556282844 156311101364 184731301612 273544427387 323279777821 508011079433 547088854774 646559555642 1016022158866 1094177709548 1293119111284 2032044317732 3556077556031 7112155112062 14224310224124