Search a number
-
+
14043144400 = 2452331310597
BaseRepresentation
bin11010001010000100…
…10110000011010000
31100020200122122120021
431011002112003100
5212230021110100
610241253153224
71005000520645
oct150502260320
940220578507
1014043144400
115a56a9726a
12287b02b814
13142a5369cc
14973107dcc
15572d06a1a
hex3450960d0

14043144400 has 60 divisors (see below), whose sum is σ = 33752022892. Its totient is φ = 5615032320.

The previous prime is 14043144301. The next prime is 14043144403. The reversal of 14043144400 is 444134041.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 510940816 + 13532203584 = 22604^2 + 116328^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14043144403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1319902 + ... + 1330498.

Almost surely, 214043144400 is an apocalyptic number.

14043144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14043144400 is an abundant number, since it is smaller than the sum of its proper divisors (19708878492).

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

14043144400 is a wasteful number, since it uses less digits than its factorization.

14043144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13928 (or 13917 counting only the distinct ones).

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

Adding to 14043144400 its reverse (444134041), we get a palindrome (14487278441).

The spelling of 14043144400 in words is "fourteen billion, forty-three million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3313 6626 10597 13252 16565 21194 26504 33130 42388 52985 53008 66260 82825 84776 105970 132520 165650 169552 211940 264925 265040 331300 423880 529850 662600 847760 1059700 1325200 2119400 4238800 35107861 70215722 140431444 175539305 280862888 351078610 561725776 702157220 877696525 1404314440 1755393050 2808628880 3510786100 7021572200 14043144400