Search a number
-
+
14143444000 = 25537505123
BaseRepresentation
bin11010010110000001…
…11101010000100000
31100111200101101202021
431023000331100200
5212431210202000
610255235031224
71010326201420
oct151300752040
940450341667
1014143444000
115aa86728a4
1228a873b514
13144525399a
14982576480
1557ba1a11a
hex34b03d420

14143444000 has 96 divisors (see below), whose sum is σ = 39714869376. Its totient is φ = 4849171200.

The previous prime is 14143443983. The next prime is 14143444001. The reversal of 14143444000 is 44434141.

It is a happy number.

It is a super-2 number, since 2×141434440002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14143444001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 224562 + ... + 280561.

It is an arithmetic number, because the mean of its divisors is an integer number (413696556).

Almost surely, 214143444000 is an apocalyptic number.

14143444000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14143444000 is an abundant number, since it is smaller than the sum of its proper divisors (25571425376).

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

14143444000 is an equidigital number, since it uses as much as digits as its factorization.

14143444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505155 (or 505137 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 14143444000 its reverse (44434141), we get a palindrome (14187878141).

The spelling of 14143444000 in words is "fourteen billion, one hundred forty-three million, four hundred forty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 505123 1010246 2020492 2525615 3535861 4040984 5051230 7071722 8081968 10102460 12628075 14143444 16163936 17679305 20204920 25256150 28286888 35358610 40409840 50512300 56573776 63140375 70717220 80819680 88396525 101024600 113147552 126280750 141434440 176793050 202049200 252561500 282868880 353586100 404098400 441982625 505123000 565737760 707172200 883965250 1010246000 1414344400 1767930500 2020492000 2828688800 3535861000 7071722000 14143444000