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14130055200 = 253527380651
BaseRepresentation
bin11010010100011011…
…11000100000100000
31100110202012011202210
431022031320200200
5212414243231300
610254040042120
71010104326132
oct151215704040
940422164683
1014130055200
115aa1058678
1228a4163340
131442546811
1498088d052
1557a773050
hex34a378820

14130055200 has 144 divisors (see below), whose sum is σ = 46623953376. Its totient is φ = 3716352000.

The previous prime is 14130055187. The next prime is 14130055211. The reversal of 14130055200 is 255003141.

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 23 ways as a sum of consecutive naturals, for example, 134875 + ... + 215525.

It is an arithmetic number, because the mean of its divisors is an integer number (323777454).

Almost surely, 214130055200 is an apocalyptic number.

14130055200 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 14130055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23311976688).

14130055200 is an abundant number, since it is smaller than the sum of its proper divisors (32493898176).

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

14130055200 is a wasteful number, since it uses less digits than its factorization.

14130055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80747 (or 80734 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 14130055200 its reverse (255003141), we get a palindrome (14385058341).

The spelling of 14130055200 in words is "fourteen billion, one hundred thirty million, fifty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 73 75 80 96 100 120 146 150 160 200 219 240 292 300 365 400 438 480 584 600 730 800 876 1095 1168 1200 1460 1752 1825 2190 2336 2400 2920 3504 3650 4380 5475 5840 7008 7300 8760 10950 11680 14600 17520 21900 29200 35040 43800 58400 80651 87600 161302 175200 241953 322604 403255 483906 645208 806510 967812 1209765 1290416 1613020 1935624 2016275 2419530 2580832 3226040 3871248 4032550 4839060 5887523 6048825 6452080 7742496 8065100 9678120 11775046 12097650 12904160 16130200 17662569 19356240 23550092 24195300 29437615 32260400 35325138 38712480 47100184 48390600 58875230 64520800 70650276 88312845 94200368 96781200 117750460 141300552 147188075 176625690 188400736 193562400 235500920 282601104 294376150 353251380 441564225 471001840 565202208 588752300 706502760 883128450 942003680 1177504600 1413005520 1766256900 2355009200 2826011040 3532513800 4710018400 7065027600 14130055200