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1003144403443 = 713671576191693
BaseRepresentation
bin11101001100100000001…
…00001101100111110011
310112220021212011200002211
432212100010031213303
5112413414431402233
62044501013552551
7132321565512010
oct16462004154763
93486255150084
101003144403443
11357481955826
121424bb045757
137379986c7b0
14367a3cbc707
151b1628315cd
hexe99010d9f3

1003144403443 has 64 divisors (see below), whose sum is σ = 1263831331840. Its totient is φ = 775157340672.

The previous prime is 1003144403441. The next prime is 1003144403453. The reversal of 1003144403443 is 3443044413001.

It is a happy number.

It is not a de Polignac number, because 1003144403443 - 21 = 1003144403441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1003144403441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 592523905 + ... + 592525597.

It is an arithmetic number, because the mean of its divisors is an integer number (19747364560).

Almost surely, 21003144403443 is an apocalyptic number.

1003144403443 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1003144403443 is a deficient number, since it is larger than the sum of its proper divisors (260686928397).

1003144403443 is a wasteful number, since it uses less digits than its factorization.

1003144403443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 1003144403443 its reverse (3443044413001), we get a palindrome (4446188816444).

The spelling of 1003144403443 in words is "one trillion, three billion, one hundred forty-four million, four hundred three thousand, four hundred forty-three".

Divisors: 1 7 13 67 91 157 469 619 871 1099 1693 2041 4333 6097 8047 10519 11851 14287 22009 41473 56329 73633 97183 113431 136747 154063 265801 290311 539149 680281 794017 957229 1047967 1263379 1474603 1860607 3455413 3774043 6511261 7335769 8843653 10322221 13623571 17808667 24187891 45578827 70213789 84646393 95364997 124660669 164530819 231512671 491496523 592524751 912779257 1151715733 1620588697 2138900647 6389454799 11023564873 14972304529 77164954111 143306343349 1003144403443