Search a number
-
+
13003411344 = 2437113518239
BaseRepresentation
bin11000001110001000…
…00100111110010000
31020120020012201221120
430013010010332100
5203112333130334
65550152122240
7640144113150
oct140704047620
936506181846
1013003411344
1155730a5450
12262a996380
1312c2cc7651
148b4db6760
155118c7949
hex307104f90

13003411344 has 80 divisors (see below), whose sum is σ = 41881128960. Its totient is φ = 3377508480.

The previous prime is 13003411331. The next prime is 13003411391. The reversal of 13003411344 is 44311430031.

It is a super-3 number, since 3×130034113443 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1755424 + ... + 1762815.

It is an arithmetic number, because the mean of its divisors is an integer number (523514112).

Almost surely, 213003411344 is an apocalyptic number.

13003411344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13003411344 is an abundant number, since it is smaller than the sum of its proper divisors (28877717616).

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

13003411344 is a wasteful number, since it uses less digits than its factorization.

13003411344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518268 (or 3518262 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13003411344 its reverse (44311430031), we get a palindrome (57314841375).

The spelling of 13003411344 in words is "thirteen billion, three million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 3518239 7036478 10554717 14072956 21109434 24627673 28145912 38700629 42218868 49255346 56291824 73883019 77401258 84437736 98510692 116101887 147766038 154802516 168875472 197021384 232203774 270904403 295532076 309605032 394042768 464407548 541808806 591064152 619210064 812713209 928815096 1083617612 1182128304 1625426418 1857630192 2167235224 3250852836 4334470448 6501705672 13003411344