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4131402223113 = 3211179607384079
BaseRepresentation
bin111100000111101010110…
…000110000111000001001
3112121221212112011021001100
4330013222300300320021
51020142102432114423
612441535011412013
7604324666322364
oct74075260607011
915557775137040
104131402223113
111353132938780
1256883a2b4009
1323c788349889
14103d64b390db
1572701ea2343
hex3c1eac30e09

4131402223113 has 48 divisors (see below), whose sum is σ = 6557259571200. Its totient is φ = 2485783542240.

The previous prime is 4131402223061. The next prime is 4131402223171. The reversal of 4131402223113 is 3113222041314.

4131402223113 is a `hidden beast` number, since 4 + 1 + 31 + 402 + 223 + 1 + 1 + 3 = 666.

It is not a de Polignac number, because 4131402223113 - 212 = 4131402219017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4131402273113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10564608 + ... + 10948686.

It is an arithmetic number, because the mean of its divisors is an integer number (136609574400).

Almost surely, 24131402223113 is an apocalyptic number.

It is an amenable number.

4131402223113 is a deficient number, since it is larger than the sum of its proper divisors (2425857348087).

4131402223113 is a wasteful number, since it uses less digits than its factorization.

4131402223113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384882 (or 384879 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4131402223113 its reverse (3113222041314), we get a palindrome (7244624264427).

The spelling of 4131402223113 in words is "four trillion, one hundred thirty-one billion, four hundred two million, two hundred twenty-three thousand, one hundred thirteen".

Divisors: 1 3 9 11 33 99 179 537 607 1611 1821 1969 5463 5907 6677 17721 20031 60093 108653 325959 384079 977877 1152237 1195183 3456711 3585549 4224869 10756647 12674607 38023821 68750141 206250423 233135953 618751269 699407859 756251551 2098223577 2268754653 2564495483 6806263959 7693486449 23080459347 41731335587 125194006761 375582020283 459044691457 1377134074371 4131402223113