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4100424114303 = 331125155004549
BaseRepresentation
bin111011101010110100010…
…100101010000001111111
3112111222220121101021122000
4323222310110222001333
51014140132033124203
612415413035153343
7602150221616346
oct73526424520177
915458817337560
104100424114303
111340a86573060
125628338a5853
1323988c44078a
14102666840b5d
15719dc56d4a3
hex3bab452a07f

4100424114303 has 32 divisors (see below), whose sum is σ = 6653350368000. Its totient is φ = 2475204660000.

The previous prime is 4100424114299. The next prime is 4100424114307. The reversal of 4100424114303 is 3034114240014.

4100424114303 is a `hidden beast` number, since 4 + 100 + 4 + 241 + 14 + 303 = 666.

It is an interprime number because it is at equal distance from previous prime (4100424114299) and next prime (4100424114307).

It is not a de Polignac number, because 4100424114303 - 22 = 4100424114299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100424114307) 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 31 ways as a sum of consecutive naturals, for example, 27427728 + ... + 27576821.

It is an arithmetic number, because the mean of its divisors is an integer number (207917199000).

Almost surely, 24100424114303 is an apocalyptic number.

4100424114303 is a deficient number, since it is larger than the sum of its proper divisors (2552926253697).

4100424114303 is a wasteful number, since it uses less digits than its factorization.

4100424114303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55004820 (or 55004814 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4100424114303 its reverse (3034114240014), we get a palindrome (7134538354317).

The spelling of 4100424114303 in words is "four trillion, one hundred billion, four hundred twenty-four million, one hundred fourteen thousand, three hundred three".

Divisors: 1 3 9 11 27 33 99 251 297 753 2259 2761 6777 8283 24849 74547 55004549 165013647 495040941 605050039 1485122823 1815150117 5445450351 13806141799 16336351053 41418425397 124255276191 151867559789 372765828573 455602679367 1366808038101 4100424114303