Search a number
-
+
14251387041837 = 321125324658837
BaseRepresentation
bin1100111101100010100011…
…0111001011100000101101
31212110102022122222211120200
43033120220313023200231
53331443320040314322
650150555151504113
73000425441063061
oct317305067134055
955412278884520
1014251387041837
1145a4a854a7a00
121722020828039
137c4b914a544a
14373ab117baa1
1519aaa089c8ac
hexcf628dcb82d

14251387041837 has 54 divisors (see below), whose sum is σ = 23061839772426. Its totient is φ = 8474236330560.

The previous prime is 14251387041803. The next prime is 14251387041839. The reversal of 14251387041837 is 73814078315241.

14251387041837 is a `hidden beast` number, since 1 + 4 + 2 + 513 + 8 + 7 + 0 + 41 + 83 + 7 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2178062382276 + 12073324659561 = 1475826^2 + 3474669^2 .

It is not a de Polignac number, because 14251387041837 - 226 = 14251319932973 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14251387041839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 729583 + ... + 5388419.

Almost surely, 214251387041837 is an apocalyptic number.

It is an amenable number.

14251387041837 is a deficient number, since it is larger than the sum of its proper divisors (8810452730589).

14251387041837 is a wasteful number, since it uses less digits than its factorization.

14251387041837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658971 (or 4658904 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 14251387041837 in words is "fourteen trillion, two hundred fifty-one billion, three hundred eighty-seven million, forty-one thousand, eight hundred thirty-seven".

Divisors: 1 3 9 11 33 53 99 121 159 363 477 583 1089 1749 2809 5247 6413 8427 19239 25281 30899 57717 92697 278091 339889 1019667 3059001 4658837 13976511 41929533 51247207 153741621 246918361 461224863 563719277 740755083 1691157831 2222265249 2716101971 5073473493 8148305913 13086673133 24444917739 29877121681 39260019399 89631365043 117780058197 143953404463 268894095129 431860213389 1295580640167 1583487449093 4750462347279 14251387041837