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1311413312 = 26114343321
BaseRepresentation
bin100111000101010…
…1001010001000000
310101101122200212102
41032022221101000
510141210211222
6334044045532
744332554266
oct11612512100
93341580772
101311413312
11613293260
123072338a8
1317b902c11
14c6252436
157a1e6d92
hex4e2a9440

1311413312 has 56 divisors (see below), whose sum is σ = 2905000032. Its totient is φ = 582220800.

The previous prime is 1311413297. The next prime is 1311413357. The reversal of 1311413312 is 2133141131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8612 + ... + 51932.

Almost surely, 21311413312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452500016).

1311413312 is an abundant number, since it is smaller than the sum of its proper divisors (1593586720).

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

1311413312 is a wasteful number, since it uses less digits than its factorization.

1311413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43387 (or 43377 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 1311413312 is about 36213.4410405860. The cubic root of 1311413312 is about 1094.5775319589.

Adding to 1311413312 its reverse (2133141131), we get a palindrome (3444554443).

The spelling of 1311413312 in words is "one billion, three hundred eleven million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 172 176 344 352 473 688 704 946 1376 1892 2752 3784 7568 15136 30272 43321 86642 173284 346568 476531 693136 953062 1386272 1862803 1906124 2772544 3725606 3812248 7451212 7624496 14902424 15248992 20490833 29804848 30497984 40981666 59609696 81963332 119219392 163926664 327853328 655706656 1311413312