Search a number
-
+
14297713450520 = 23523314759347521
BaseRepresentation
bin1101000000001111001000…
…1000011001111000011000
31212121211220020022020021212
43100003302020121320120
53333223204120404040
650224140123322252
73003655445052053
oct320036210317030
955554806266255
1014297713450520
114612698558475
12172abab380388
137c93651399a6
14376027a43a9a
1519bdb2995d65
hexd00f2219e18

14297713450520 has 512 divisors, whose sum is σ = 36161460633600. Its totient is φ = 5069080473600.

The previous prime is 14297713450513. The next prime is 14297713450529. The reversal of 14297713450520 is 2505431779241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14297713450529) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 27442827860 + ... + 27442828380.

It is an arithmetic number, because the mean of its divisors is an integer number (70627852800).

Almost surely, 214297713450520 is an apocalyptic number.

14297713450520 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 14297713450520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18080730316800).

14297713450520 is an abundant number, since it is smaller than the sum of its proper divisors (21863747183080).

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

14297713450520 is a wasteful number, since it uses less digits than its factorization.

14297713450520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 50.

The spelling of 14297713450520 in words is "fourteen trillion, two hundred ninety-seven billion, seven hundred thirteen million, four hundred fifty thousand, five hundred twenty".