Search a number
-
+
14075064200 = 235283892
BaseRepresentation
bin11010001101111000…
…00110111110001000
31100022220201100022002
431012330012332020
5212311204023300
610244353250132
71005536033411
oct150674067610
940286640262
1014075064200
115a7300906a
122889863948
131434031772
14977456808
15575a0e5d5
hex346f06f88

14075064200 has 36 divisors (see below), whose sum is σ = 32728425615. Its totient is φ = 5629354560.

The previous prime is 14075064149. The next prime is 14075064229. The reversal of 14075064200 is 246057041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14075064200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 10657258756 + 3417805444 = 103234^2 + 58462^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=83890.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1673606 + ... + 1681994.

Almost surely, 214075064200 is an apocalyptic number.

14075064200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14075064200 is an abundant number, since it is smaller than the sum of its proper divisors (18653361415).

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

14075064200 is an frugal number, since it uses more digits than its factorization.

14075064200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16794 (or 8396 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 14075064200 in words is "fourteen billion, seventy-five million, sixty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 8389 16778 33556 41945 67112 83890 167780 209725 335560 419450 838900 1677800 70375321 140750642 281501284 351876605 563002568 703753210 1407506420 1759383025 2815012840 3518766050 7037532100 14075064200