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1003144103440 = 24512539301293
BaseRepresentation
bin11101001100100000000…
…11000100011000010000
310112220021211121102120121
432212100003010120100
5112413414342302230
62044501003320024
7132321563122243
oct16462003043020
93486254542517
101003144103440
11357481770396
121424bab20014
137379979608b
14367a3c4125a
151b1627c277a
hexe9900c4610

1003144103440 has 20 divisors (see below), whose sum is σ = 2332310040684. Its totient is φ = 401257641344.

The previous prime is 1003144103327. The next prime is 1003144103471. The reversal of 1003144103440 is 443014413001.

It can be written as a sum of positive squares in 2 ways, for example, as 444979716624 + 558164386816 = 667068^2 + 747104^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 6269650567 + ... + 6269650726.

Almost surely, 21003144103440 is an apocalyptic number.

1003144103440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003144103440 is an abundant number, since it is smaller than the sum of its proper divisors (1329165937244).

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

1003144103440 is a wasteful number, since it uses less digits than its factorization.

1003144103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12539301306 (or 12539301300 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1003144103440 its reverse (443014413001), we get a palindrome (1446158516441).

The spelling of 1003144103440 in words is "one trillion, three billion, one hundred forty-four million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12539301293 25078602586 50157205172 62696506465 100314410344 125393012930 200628820688 250786025860 501572051720 1003144103440