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311430242143041 = 37223149618200489
BaseRepresentation
bin100011011001111101000000…
…0111101001000101101000001
31111211200102220001002200100020
41012303322000331020231001
5311304433113442034131
63022205024514044053
7122412043502562600
oct10663720075105501
91454612801080306
10311430242143041
119025a9077a147a
122ab19325b79629
13104a09907506a8
1456c943880ba37
15260103691b996
hex11b3e80f48b41

311430242143041 has 48 divisors (see below), whose sum is σ = 507418962192000. Its totient is φ = 169080306269952.

The previous prime is 311430242142989. The next prime is 311430242143051. The reversal of 311430242143041 is 140341242034113.

It is a happy number.

It is not a de Polignac number, because 311430242143041 - 214 = 311430242126657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311430242142993 and 311430242143011.

It is not an unprimeable number, because it can be changed into a prime (311430242143051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308596476 + ... + 309604013.

It is an arithmetic number, because the mean of its divisors is an integer number (10571228379000).

Almost surely, 2311430242143041 is an apocalyptic number.

It is an amenable number.

311430242143041 is a deficient number, since it is larger than the sum of its proper divisors (195988720048959).

311430242143041 is a wasteful number, since it uses less digits than its factorization.

311430242143041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618200678 (or 618200671 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 311430242143041 its reverse (140341242034113), we get a palindrome (451771484177154).

The spelling of 311430242143041 in words is "three hundred eleven trillion, four hundred thirty billion, two hundred forty-two million, one hundred forty-three thousand, forty-one".

Divisors: 1 3 7 21 23 49 69 147 149 161 447 483 1043 1127 3129 3381 3427 7301 10281 21903 23989 71967 167923 503769 618200489 1854601467 4327403423 12982210269 14218611247 30291823961 42655833741 90875471883 92111872861 99530278729 276335618583 298590836187 644783110027 696711951103 1934349330081 2090135853309 2118573075803 4513481770189 6355719227409 13540445310567 14830011530621 44490034591863 103810080714347 311430242143041