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13001003440 = 245167973129
BaseRepresentation
bin11000001101110101…
…11001000110110000
31020120001200101220221
430012322321012300
5203111224102230
65550024342424
7640114464055
oct140672710660
936501611827
1013001003440
115571800347
12262a014a14
1312c2663659
148b494b02c
1551159e27a
hex306eb91b0

13001003440 has 40 divisors (see below), whose sum is σ = 30408366240. Its totient is φ = 5169255936.

The previous prime is 13001003413. The next prime is 13001003443. The reversal of 13001003440 is 4430010031.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13001003443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 473205 + ... + 499924.

It is an arithmetic number, because the mean of its divisors is an integer number (760209156).

Almost surely, 213001003440 is an apocalyptic number.

13001003440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001003440 is an abundant number, since it is smaller than the sum of its proper divisors (17407362800).

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

13001003440 is a wasteful number, since it uses less digits than its factorization.

13001003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973309 (or 973303 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13001003440 its reverse (4430010031), we get a palindrome (17431013471).

The spelling of 13001003440 in words is "thirteen billion, one million, three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6680 13360 973129 1946258 3892516 4865645 7785032 9731290 15570064 19462580 38925160 77850320 162512543 325025086 650050172 812562715 1300100344 1625125430 2600200688 3250250860 6500501720 13001003440