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14024132430 = 2357117438171
BaseRepresentation
bin11010000111110011…
…10100011101001110
31100012100212202001020
431003321310131032
5212210134214210
610235333455010
71004350105320
oct150371643516
940170782036
1014024132430
115a472912a0
1228747a1466
13142660b219
14970799610
155712ed770
hex343e7474e

14024132430 has 128 divisors (see below), whose sum is σ = 42024738816. Its totient is φ = 2909827200.

The previous prime is 14024132411. The next prime is 14024132431. The reversal of 14024132430 is 3423142041.

It is a self number, because there is not a number n which added to its sum of digits gives 14024132430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14024132431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1712245 + ... + 1720415.

It is an arithmetic number, because the mean of its divisors is an integer number (328318272).

Almost surely, 214024132430 is an apocalyptic number.

14024132430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14024132430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21012369408).

14024132430 is an abundant number, since it is smaller than the sum of its proper divisors (28000606386).

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

14024132430 is a wasteful number, since it uses less digits than its factorization.

14024132430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8942.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14024132430 its reverse (3423142041), we get a palindrome (17447274471).

The spelling of 14024132430 in words is "fourteen billion, twenty-four million, one hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 743 770 1155 1486 2229 2310 3715 4458 5201 7430 8171 8173 10402 11145 15603 16342 16346 22290 24513 24519 26005 31206 40855 40865 49026 49038 52010 57197 57211 78015 81710 81730 89881 114394 114422 122565 122595 156030 171591 171633 179762 245130 245190 269643 285985 286055 343182 343266 449405 539286 571970 572110 629167 857955 858165 898810 1258334 1348215 1715910 1716330 1887501 2696430 3145835 3775002 6071053 6291670 9437505 12142106 18213159 18875010 30355265 36426318 42497371 60710530 66781583 84994742 91065795 127492113 133563166 182131590 200344749 212486855 254984226 333907915 400689498 424973710 467471081 637460565 667815830 934942162 1001723745 1274921130 1402413243 2003447490 2337355405 2804826486 4674710810 7012066215 14024132430