Search a number
-
+
1318440816 = 2432711118907
BaseRepresentation
bin100111010010101…
…1100111101110000
310101212212201210100
41032211130331300
510200010101231
6334454432400
744446363530
oct11645347560
93355781710
101318440816
11617253110
12309662700
131801c37c4
14c71614c0
157ab341e6
hex4e95cf70

1318440816 has 120 divisors (see below), whose sum is σ = 4600312704. Its totient is φ = 342449280.

The previous prime is 1318440803. The next prime is 1318440817. The reversal of 1318440816 is 6180448131.

It is a happy number.

1318440816 is a `hidden beast` number, since 131 + 8 + 440 + 81 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1318440817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48366 + ... + 70541.

Almost surely, 21318440816 is an apocalyptic number.

1318440816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1318440816 is an abundant number, since it is smaller than the sum of its proper divisors (3281871888).

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

1318440816 is a wasteful number, since it uses less digits than its factorization.

1318440816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118939 (or 118930 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1318440816 is about 36310.3403454168. The cubic root of 1318440816 is about 1096.5292300841.

Adding to 1318440816 its reverse (6180448131), we get a palindrome (7498888947).

The spelling of 1318440816 in words is "one billion, three hundred eighteen million, four hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 118907 237814 356721 475628 713442 832349 951256 1070163 1307977 1426884 1664698 1902512 2140326 2497047 2615954 2853768 3329396 3923931 4280652 4994094 5231908 5707536 6658792 7491141 7847862 8561304 9155839 9988188 10463816 11771793 13317584 14982282 15695724 17122608 18311678 19976376 20927632 23543586 27467517 29964564 31391448 36623356 39952752 47087172 54935034 59929128 62782896 73246712 82402551 94174344 109870068 119858256 146493424 164805102 188348688 219740136 329610204 439480272 659220408 1318440816