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1003414240423 = 72812236722807
BaseRepresentation
bin11101001101000000010…
…01100011110010100111
310112220222122220210212001
432212200021203302213
5112414443021143143
62044543453310131
7132331353213520
oct16464011436247
93486878823761
101003414240423
113576001a82a1
12142575495347
137381073934a
14367cba7d847
151b17b38314d
hexe9a0263ca7

1003414240423 has 16 divisors (see below), whose sum is σ = 1150942040064. Its totient is φ = 856932713280.

The previous prime is 1003414240417. The next prime is 1003414240441. The reversal of 1003414240423 is 3240424143001.

It is not a de Polignac number, because 1003414240423 - 25 = 1003414240391 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003414240391 and 1003414240400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003414240403) 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 15 ways as a sum of consecutive naturals, for example, 43984486 + ... + 44007292.

It is an arithmetic number, because the mean of its divisors is an integer number (71933877504).

Almost surely, 21003414240423 is an apocalyptic number.

1003414240423 is a deficient number, since it is larger than the sum of its proper divisors (147527799641).

1003414240423 is a wasteful number, since it uses less digits than its factorization.

1003414240423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45462.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1003414240423 its reverse (3240424143001), we get a palindrome (4243838383424).

The spelling of 1003414240423 in words is "one trillion, three billion, four hundred fourteen million, two hundred forty thousand, four hundred twenty-three".

Divisors: 1 7 281 1967 22367 22807 156569 159649 6285127 6408767 43995889 44861369 510124169 3570869183 143344891489 1003414240423