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14435802385 = 597268911069
BaseRepresentation
bin11010111000111000…
…01101110100010001
31101021001111202001121
431130130031310101
5214031031134020
610344241202241
71020506203264
oct153434156421
941231452047
1014435802385
1161386a7aa4
12296a630381
1314909a7504
149ad31acdb
15597519baa
hex35c70dd11

14435802385 has 16 divisors (see below), whose sum is σ = 17509640400. Its totient is φ = 11424301056.

The previous prime is 14435802383. The next prime is 14435802389. The reversal of 14435802385 is 58320853441.

14435802385 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 8 ways, for example, as 5025250321 + 9410552064 = 70889^2 + 97008^2 .

It is a cyclic number.

It is not a de Polignac number, because 14435802385 - 21 = 14435802383 is a prime.

It is a super-3 number, since 3×144358023853 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14435802383) 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 15 ways as a sum of consecutive naturals, for example, 1298631 + ... + 1309699.

It is an arithmetic number, because the mean of its divisors is an integer number (1094352525).

Almost surely, 214435802385 is an apocalyptic number.

It is an amenable number.

14435802385 is a deficient number, since it is larger than the sum of its proper divisors (3073838015).

14435802385 is a wasteful number, since it uses less digits than its factorization.

14435802385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13860.

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 14435802385 in words is "fourteen billion, four hundred thirty-five million, eight hundred two thousand, three hundred eighty-five".

Divisors: 1 5 97 485 2689 11069 13445 55345 260833 1073693 1304165 5368465 29764541 148822705 2887160477 14435802385