Search a number
-
+
311430241024321 = 2347288094580041
BaseRepresentation
bin100011011001111101000000…
…0111000110111100101000001
31111211200102212221222211202011
41012303322000320313211001
5311304433113200234241
63022205024434052521
7122412043460223166
oct10663720070674501
91454612787884664
10311430241024321
119025a9070a7a11
122ab1932571a141
13104a099044b423
1456c94385da06d
15260103679a281
hex11b3e80e37941

311430241024321 has 8 divisors (see below), whose sum is σ = 331884956208384. Its totient is φ = 291551715000480.

The previous prime is 311430241024283. The next prime is 311430241024333. The reversal of 311430241024321 is 123420142034113.

It is a happy number.

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

It is not a de Polignac number, because 311430241024321 - 219 = 311430240500033 is a prime.

It is a super-3 number, since 3×3114302410243213 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311430241024361) 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 7 ways as a sum of consecutive naturals, for example, 144047288940 + ... + 144047291101.

It is an arithmetic number, because the mean of its divisors is an integer number (41485619526048).

Almost surely, 2311430241024321 is an apocalyptic number.

It is an amenable number.

311430241024321 is a deficient number, since it is larger than the sum of its proper divisors (20454715184063).

311430241024321 is a wasteful number, since it uses less digits than its factorization.

311430241024321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288094580111.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 311430241024321 its reverse (123420142034113), we get a palindrome (434850383058434).

The spelling of 311430241024321 in words is "three hundred eleven trillion, four hundred thirty billion, two hundred forty-one million, twenty-four thousand, three hundred twenty-one".

Divisors: 1 23 47 1081 288094580041 6626175340943 13540445261927 311430241024321