Search a number
-
+
14441201313040 = 245847132130901
BaseRepresentation
bin1101001000100101101010…
…1011001010010100010000
31220010120021011000212221101
43102021122223022110100
53343101040014004130
650414110222234144
73020225300546545
oct322113253122420
956116234025841
1014441201313040
11466852a729317
121752975125954
13809a514a8858
1437cd5a590bcc
151a09ae9c81ca
hexd225aaca510

14441201313040 has 40 divisors (see below), whose sum is σ = 33576205157208. Its totient is φ = 5776409625600.

The previous prime is 14441201312999. The next prime is 14441201313083. The reversal of 14441201313040 is 4031310214441.

It can be written as a sum of positive squares in 4 ways, for example, as 4425267591424 + 10015933721616 = 2103632^2 + 3164796^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5711590 + ... + 7842490.

Almost surely, 214441201313040 is an apocalyptic number.

14441201313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14441201313040 is an abundant number, since it is smaller than the sum of its proper divisors (19135003844168).

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

14441201313040 is a wasteful number, since it uses less digits than its factorization.

14441201313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215627 (or 2215621 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 14441201313040 its reverse (4031310214441), we get a palindrome (18472511527481).

The spelling of 14441201313040 in words is "fourteen trillion, four hundred forty-one billion, two hundred one million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 84713 169426 338852 423565 677704 847130 1355408 1694260 2130901 3388520 4261802 6777040 8523604 10654505 17047208 21309010 34094416 42618020 85236040 170472080 180515016413 361030032826 722060065652 902575082065 1444120131304 1805150164130 2888240262608 3610300328260 7220600656520 14441201313040