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1003242141441 = 328111135112109
BaseRepresentation
bin11101001100101011110…
…01000011011100000001
310112220112200002021102200
432212111321003130001
5112414114442011231
62044514424503413
7132324163333311
oct16462571033401
93486480067380
101003242141441
11357522041831
1214252791ab69
13737b3ba0827
14367b2c81441
151b16b1dabe6
hexe995e43701

1003242141441 has 24 divisors (see below), whose sum is σ = 1451162032320. Its totient is φ = 667889388000.

The previous prime is 1003242141437. The next prime is 1003242141469. The reversal of 1003242141441 is 1441412423001.

1003242141441 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 2 + 4 + 214 + 1 + 441 = 666.

It is not a de Polignac number, because 1003242141441 - 22 = 1003242141437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1003242141641) 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 23 ways as a sum of consecutive naturals, for example, 82844895 + ... + 82857003.

It is an arithmetic number, because the mean of its divisors is an integer number (60465084680).

Almost surely, 21003242141441 is an apocalyptic number.

It is an amenable number.

1003242141441 is a deficient number, since it is larger than the sum of its proper divisors (447919890879).

1003242141441 is a wasteful number, since it uses less digits than its factorization.

1003242141441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24277 (or 24274 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1003242141441 its reverse (1441412423001), we get a palindrome (2444654564442).

The spelling of 1003242141441 in words is "one trillion, three billion, two hundred forty-two million, one hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 9 811 2433 7299 11351 12109 34053 36327 102159 108981 9205661 9820399 27616983 29461197 82850949 88383591 137449259 412347777 1237043331 111471349049 334414047147 1003242141441