Search a number
-
+
14143234200 = 2335234767931
BaseRepresentation
bin11010010110000000…
…01010000010011000
31100111122222201221220
431023000022002120
5212431131443300
610255230332040
71010324335644
oct151300120230
940448881856
1014143234200
115aa853a207
1228a865a020
1314451ac344
1498251dc24
1557b9c7da0
hex34b00a098

14143234200 has 96 divisors (see below), whose sum is σ = 43971024960. Its totient is φ = 3760604800.

The previous prime is 14143234187. The next prime is 14143234211. The reversal of 14143234200 is 243234141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174235 + ... + 242165.

It is an arithmetic number, because the mean of its divisors is an integer number (458031510).

Almost surely, 214143234200 is an apocalyptic number.

14143234200 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 14143234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21985512480).

14143234200 is an abundant number, since it is smaller than the sum of its proper divisors (29827790760).

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

14143234200 is a wasteful number, since it uses less digits than its factorization.

14143234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68297 (or 68288 counting only the distinct ones).

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

Adding to 14143234200 its reverse (243234141), we get a palindrome (14386468341).

The spelling of 14143234200 in words is "fourteen billion, one hundred forty-three million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 347 600 694 1041 1388 1735 2082 2776 3470 4164 5205 6940 8328 8675 10410 13880 17350 20820 26025 34700 41640 52050 67931 69400 104100 135862 203793 208200 271724 339655 407586 543448 679310 815172 1018965 1358620 1630344 1698275 2037930 2717240 3396550 4075860 5094825 6793100 8151720 10189650 13586200 20379300 23572057 40758600 47144114 70716171 94288228 117860285 141432342 188576456 235720570 282864684 353580855 471441140 565729368 589301425 707161710 942882280 1178602850 1414323420 1767904275 2357205700 2828646840 3535808550 4714411400 7071617100 14143234200