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1005141055141 = 26311939320113
BaseRepresentation
bin11101010000001110001…
…00110101011010100101
310120002110000020002022201
432220013010311122211
5112432012102231031
62045431101054501
7132422221666666
oct16500704653245
93502400202281
101005141055141
11358306a157a3
12142977857431
1373a27413ac2
143691314536d
151b22cc81d61
hexea071356a5

1005141055141 has 8 divisors (see below), whose sum is σ = 1009050546240. Its totient is φ = 1001232228672.

The previous prime is 1005141055133. The next prime is 1005141055153. The reversal of 1005141055141 is 1415501415001.

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 1005141055141 - 23 = 1005141055133 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 (1005141050141) 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 7 ways as a sum of consecutive naturals, for example, 2979901 + ... + 3300013.

It is an arithmetic number, because the mean of its divisors is an integer number (126131318280).

Almost surely, 21005141055141 is an apocalyptic number.

It is an amenable number.

1005141055141 is a deficient number, since it is larger than the sum of its proper divisors (3909491099).

1005141055141 is a wasteful number, since it uses less digits than its factorization.

1005141055141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332315.

The product of its (nonzero) digits is 2000, while the sum is 28.

The spelling of 1005141055141 in words is "one trillion, five billion, one hundred forty-one million, fifty-five thousand, one hundred forty-one".

Divisors: 1 263 11939 320113 3139957 84189719 3821829107 1005141055141