Search a number
-
+
3142340432413 = 713532412127011
BaseRepresentation
bin101101101110100010000…
…101011101001000011101
3102010101221002220102220021
4231232202011131020131
5402441003122314123
610403323220552141
7443012060653360
oct55564205351035
912111832812807
103142340432413
111001728287386
1242900b552651
1319a424252640
14ac1392ba0d7
1556b15b71c5d
hex2dba215d21d

3142340432413 has 32 divisors (see below), whose sum is σ = 3940776790272. Its totient is φ = 2439145612800.

The previous prime is 3142340432383. The next prime is 3142340432453.

3142340432413 is nontrivially palindromic in base 10.

3142340432413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3142340432413 - 25 = 3142340432381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142340432453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116322078 + ... + 116349088.

It is an arithmetic number, because the mean of its divisors is an integer number (123149274696).

Almost surely, 23142340432413 is an apocalyptic number.

It is an amenable number.

3142340432413 is a deficient number, since it is larger than the sum of its proper divisors (798436357859).

3142340432413 is a wasteful number, since it uses less digits than its factorization.

3142340432413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51205.

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 3142340 and 432413, that added together give a palindrome (3574753).

The spelling of 3142340432413 in words is "three trillion, one hundred forty-two billion, three hundred forty million, four hundred thirty-two thousand, four hundred thirteen".

Divisors: 1 7 13 53 91 371 689 4823 24121 27011 168847 189077 313573 351143 1278413 1431583 2195011 2458001 8948891 10021081 16619369 18610579 116335583 130274053 651532331 4560726317 8469920303 34531213543 59289442121 241718494801 448905776059 3142340432413