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1005344141 = 19339713121
BaseRepresentation
bin111011111011000…
…101010110001101
32121001201202220012
4323323011112031
54024332003031
6243432003005
733625166324
oct7373052615
92531652805
101005344141
11476543a2a
12240830465
1313038b7b9
149773d0bb
155d3d9b2b
hex3bec558d

1005344141 has 8 divisors (see below), whose sum is σ = 1013175864. Its totient is φ = 997539840.

The previous prime is 1005344029. The next prime is 1005344143. The reversal of 1005344141 is 1414435001.

It can be written as a sum of positive squares in 4 ways, for example, as 20702500 + 984641641 = 4550^2 + 31379^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005344141 - 218 = 1005081997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005344143) 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, 70061 + ... + 83181.

It is an arithmetic number, because the mean of its divisors is an integer number (126646983).

Almost surely, 21005344141 is an apocalyptic number.

It is an amenable number.

1005344141 is a deficient number, since it is larger than the sum of its proper divisors (7831723).

1005344141 is a wasteful number, since it uses less digits than its factorization.

1005344141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13711.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1005344141 is about 31707.1622981307. The cubic root of 1005344141 is about 1001.7782164055.

Adding to 1005344141 its reverse (1414435001), we get a palindrome (2419779142).

The spelling of 1005344141 in words is "one billion, five million, three hundred forty-four thousand, one hundred forty-one".

Divisors: 1 193 397 13121 76621 2532353 5209037 1005344141