Search a number
-
+
13415731456 = 28232278487
BaseRepresentation
bin11000111111010001…
…11101000100000000
31021121222001202210211
430133220331010000
5204433411401311
610055121403504
7653311556461
oct143750750400
937558052724
1013415731456
115764915676
122724a99594
13135a56084a
14913a66d68
15537bc1821
hex31fa3d100

13415731456 has 36 divisors (see below), whose sum is σ = 27943376832. Its totient is φ = 6416216576.

The previous prime is 13415731453. The next prime is 13415731471. The reversal of 13415731456 is 65413751431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13415731453) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1133356 + ... + 1145131.

It is an arithmetic number, because the mean of its divisors is an integer number (776204912).

Almost surely, 213415731456 is an apocalyptic number.

13415731456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13415731456 is an abundant number, since it is smaller than the sum of its proper divisors (14527645376).

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

13415731456 is an equidigital number, since it uses as much as digits as its factorization.

13415731456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278526 (or 2278512 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The spelling of 13415731456 in words is "thirteen billion, four hundred fifteen million, seven hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1472 2944 5888 2278487 4556974 9113948 18227896 36455792 52405201 72911584 104810402 145823168 209620804 291646336 419241608 583292672 838483216 1676966432 3353932864 6707865728 13415731456