Search a number
-
+
311148969376 = 2574393164141
BaseRepresentation
bin1001000011100011110…
…11000111110110100000
31002202010111200100112211
410201301323013312200
520044213114010001
6354535002131504
731323363413260
oct4416173076640
91082114610484
10311148969376
1110aa59532a83
12503771b0b94
1323458883ccb
14110b9b0d7a0
158161377351
hex4871ec7da0

311148969376 has 48 divisors (see below), whose sum is σ = 701680129920. Its totient is φ = 133045758720.

The previous prime is 311148969347. The next prime is 311148969379. The reversal of 311148969376 is 673969841113.

It is a super-2 number, since 2×3111489693762 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 311148969376.

It is not an unprimeable number, because it can be changed into a prime (311148969379) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1483735 + ... + 1680406.

It is an arithmetic number, because the mean of its divisors is an integer number (14618336040).

Almost surely, 2311148969376 is an apocalyptic number.

It is an amenable number.

311148969376 is an abundant number, since it is smaller than the sum of its proper divisors (390531160544).

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

311148969376 is a wasteful number, since it uses less digits than its factorization.

311148969376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164597 (or 3164589 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 58.

The spelling of 311148969376 in words is "three hundred eleven billion, one hundred forty-eight million, nine hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 439 878 1756 3073 3512 6146 7024 12292 14048 24584 49168 98336 3164141 6328282 12656564 22148987 25313128 44297974 50626256 88595948 101252512 177191896 354383792 708767584 1389057899 2778115798 5556231596 9723405293 11112463192 19446810586 22224926384 38893621172 44449852768 77787242344 155574484688 311148969376