Search a number
-
+
4142304000131 = 11715303846351
BaseRepresentation
bin111100010001110100100…
…011101111100010000011
3112200000000021202220200112
4330101310203233202003
51020331414311001011
612450540450341535
7605162104024013
oct74216443574203
915600007686615
104142304000131
111357817689150
1256a98128a8ab
13240804b034cb
141046ba95bc43
1572b3e0dd58b
hex3c4748ef883

4142304000131 has 8 divisors (see below), whose sum is σ = 4582523248128. Its totient is φ = 3712692445000.

The previous prime is 4142304000119. The next prime is 4142304000199. The reversal of 4142304000131 is 1310004032414.

4142304000131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4142304000131 - 218 = 4142303737987 is a prime.

It is a super-2 number, since 2×41423040001312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4142304000097 and 4142304000106.

It is not an unprimeable number, because it can be changed into a prime (4142304006131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2651922395 + ... + 2651923956.

It is an arithmetic number, because the mean of its divisors is an integer number (572815406016).

Almost surely, 24142304000131 is an apocalyptic number.

4142304000131 is a deficient number, since it is larger than the sum of its proper divisors (440219247997).

4142304000131 is a wasteful number, since it uses less digits than its factorization.

4142304000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303846433.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 4142304000131 its reverse (1310004032414), we get a palindrome (5452308032545).

The spelling of 4142304000131 in words is "four trillion, one hundred forty-two billion, three hundred four million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 11 71 781 5303846351 58342309861 376573090921 4142304000131