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4142134121413 = 31372711374677
BaseRepresentation
bin111100010001101010011…
…011101101001111000101
3112122222120110010011220011
4330101222123231033011
51020331042313341123
612450511541310221
7605154642051541
oct74215233551705
915588513104804
104142134121413
11135773a7a9812
1256a934405371
132407a8864462
141046a217aa21
1572b2e233e0d
hex3c46a6ed3c5

4142134121413 has 24 divisors (see below), whose sum is σ = 4456332163584. Its totient is φ = 3845243707200.

The previous prime is 4142134121393. The next prime is 4142134121453. The reversal of 4142134121413 is 3141214312414.

It is a de Polignac number, because none of the positive numbers 2k-4142134121413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142134121453) 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 23 ways as a sum of consecutive naturals, for example, 2325831 + ... + 3700507.

It is an arithmetic number, because the mean of its divisors is an integer number (185680506816).

Almost surely, 24142134121413 is an apocalyptic number.

It is an amenable number.

4142134121413 is a deficient number, since it is larger than the sum of its proper divisors (314198042171).

4142134121413 is a wasteful number, since it uses less digits than its factorization.

4142134121413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374853 (or 1374816 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

Adding to 4142134121413 its reverse (3141214312414), we get a palindrome (7283348433827).

The spelling of 4142134121413 in words is "four trillion, one hundred forty-two billion, one hundred thirty-four million, one hundred twenty-one thousand, four hundred thirteen".

Divisors: 1 31 37 71 1147 1369 2201 2627 42439 81437 97199 1374677 3013169 42614987 50863049 97602067 1576754519 1881932813 3025664077 3611276479 58339917203 111949570849 133617229723 4142134121413