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311142543336 = 233237116795249
BaseRepresentation
bin1001000011100011000…
…10100110111111101000
31002202010001120212200100
410201301202212333220
520044204442341321
6354534212305400
731323254660412
oct4416142467750
91082101525610
10311142543336
1110aa55943aa9
1250375012260
1323457444111
14110b8d199b2
158160a08326
hex48718a6fe8

311142543336 has 48 divisors (see below), whose sum is σ = 865452802500. Its totient is φ = 100911094272.

The previous prime is 311142543277. The next prime is 311142543377. The reversal of 311142543336 is 633345241113.

311142543336 is a `hidden beast` number, since 31 + 11 + 42 + 543 + 3 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 290919996900 + 20222546436 = 539370^2 + 142206^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 311142543336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58394961 + ... + 58400288.

Almost surely, 2311142543336 is an apocalyptic number.

311142543336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

311142543336 is an abundant number, since it is smaller than the sum of its proper divisors (554310259164).

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

311142543336 is a wasteful number, since it uses less digits than its factorization.

311142543336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116795298 (or 116795291 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 311142543336 its reverse (633345241113), we get a palindrome (944487784449).

The spelling of 311142543336 in words is "three hundred eleven billion, one hundred forty-two million, five hundred forty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 116795249 233590498 350385747 467180996 700771494 934361992 1051157241 1401542988 2102314482 2803085976 4204628964 4321424213 8409257928 8642848426 12964272639 17285696852 25928545278 34571393704 38892817917 51857090556 77785635834 103714181112 155571271668 311142543336