Search a number
-
+
14234044040 = 23523431093301
BaseRepresentation
bin11010100000110101…
…00100011010001000
31100201222212100122022
431100122210122020
5213122403402130
610312232544012
71012506243446
oct152032443210
940658770568
1014234044040
116044823a67
122912b52008
13145ac55a88
149905dbb96
155849647e5
hex3506a4688

14234044040 has 128 divisors (see below), whose sum is σ = 34520428800. Its totient is φ = 5269017600.

The previous prime is 14234044039. The next prime is 14234044051. The reversal of 14234044040 is 4044043241.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4310390 + ... + 4313690.

It is an arithmetic number, because the mean of its divisors is an integer number (269690850).

Almost surely, 214234044040 is an apocalyptic number.

14234044040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14234044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17260214400).

14234044040 is an abundant number, since it is smaller than the sum of its proper divisors (20286384760).

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

14234044040 is a wasteful number, since it uses less digits than its factorization.

14234044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 14234044040 its reverse (4044043241), we get a palindrome (18278087281).

The spelling of 14234044040 in words is "fourteen billion, two hundred thirty-four million, forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 43 46 86 92 109 115 172 184 215 218 230 344 430 436 460 545 860 872 920 989 1090 1720 1978 2180 2507 3301 3956 4360 4687 4945 5014 6602 7912 9374 9890 10028 12535 13204 16505 18748 19780 20056 23435 25070 26408 33010 37496 39560 46870 50140 66020 75923 93740 100280 107801 132040 141943 151846 187480 215602 283886 303692 359809 379615 431204 539005 567772 607384 709715 719618 759230 862408 1078010 1135544 1419430 1439236 1518460 1799045 2156020 2838860 2878472 3036920 3264689 3598090 4312040 5677720 6529378 7196180 8275607 13058756 14392360 15471787 16323445 16551214 26117512 30943574 32646890 33102428 41378035 61887148 65293780 66204856 77358935 82756070 123774296 130587560 154717870 165512140 309435740 331024280 355851101 618871480 711702202 1423404404 1779255505 2846808808 3558511010 7117022020 14234044040