Search a number
-
+
1312403456 = 2127213503
BaseRepresentation
bin100111000111001…
…1011000000000000
310101110112000002102
41032032123000000
510141433402311
6334121205532
744344150100
oct11616330000
93343460072
101312403456
116138aa161
123076308a8
1317bb8b7c0
14c642d200
157a34043b
hex4e39b000

1312403456 has 156 divisors (see below), whose sum is σ = 3294354672. Its totient is φ = 518160384.

The previous prime is 1312403453. The next prime is 1312403531. The reversal of 1312403456 is 6543042131.

It is not an unprimeable number, because it can be changed into a prime (1312403453) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2608901 + ... + 2609403.

Almost surely, 21312403456 is an apocalyptic number.

1312403456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312403456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647177336).

1312403456 is an abundant number, since it is smaller than the sum of its proper divisors (1981951216).

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

1312403456 is an equidigital number, since it uses as much as digits as its factorization.

1312403456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 1312403456 is about 36227.1094071829. The cubic root of 1312403456 is about 1094.8529388346.

Adding to 1312403456 its reverse (6543042131), we get a palindrome (7855445587).

The spelling of 1312403456 in words is "one billion, three hundred twelve million, four hundred three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 503 512 637 728 784 832 896 1006 1024 1274 1456 1568 1664 1792 2012 2048 2548 2912 3136 3328 3521 3584 4024 4096 5096 5824 6272 6539 6656 7042 7168 8048 10192 11648 12544 13078 13312 14084 14336 16096 20384 23296 24647 25088 26156 26624 28168 28672 32192 40768 45773 46592 49294 50176 52312 53248 56336 64384 81536 91546 93184 98588 100352 104624 112672 128768 163072 183092 186368 197176 200704 209248 225344 257536 320411 326144 366184 372736 394352 418496 450688 515072 640822 652288 732368 788704 836992 901376 1030144 1281644 1304576 1464736 1577408 1673984 1802752 2060288 2563288 2609152 2929472 3154816 3347968 3605504 5126576 5858944 6309632 6695936 7211008 10253152 11717888 12619264 13391872 14422016 20506304 23435776 25238528 26783744 41012608 46871552 50477056 82025216 93743104 100954112 164050432 187486208 328100864 656201728 1312403456