Search a number
-
+
6314324234136 = 233833169841483
BaseRepresentation
bin101101111100010101100…
…0011011000111110011000
3211100122101010001001211120
41123320223003120332120
51311423214000443021
621232432134125240
71221123561264222
oct133705303307630
924318333031746
106314324234136
112014987463886
1285b9124b0820
1336a590a01a99
1417b8874c9412
15ae3b3e742c6
hex5be2b0d8f98

6314324234136 has 32 divisors (see below), whose sum is σ = 15976001079360. Its totient is φ = 2079416012192.

The previous prime is 6314324234129. The next prime is 6314324234161.

6314324234136 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1584918750 + ... + 1584922733.

It is an arithmetic number, because the mean of its divisors is an integer number (499250033730).

Almost surely, 26314324234136 is an apocalyptic number.

It is an amenable number.

6314324234136 is an abundant number, since it is smaller than the sum of its proper divisors (9661676845224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6314324234136 is a wasteful number, since it uses less digits than its factorization.

6314324234136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169841575 (or 3169841571 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The spelling of 6314324234136 in words is "six trillion, three hundred fourteen billion, three hundred twenty-four million, two hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992 3169841483 6339682966 9509524449 12679365932 19019048898 25358731864 38038097796 76076195592 263096843089 526193686178 789290529267 1052387372356 1578581058534 2104774744712 3157162117068 6314324234136