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6141354001 = 73827310169
BaseRepresentation
bin1011011100000110…
…11010000000010001
3120212000001002220121
411232003122000101
5100034141312001
62453222310241
7305121435106
oct55603320021
916760032817
106141354001
1126716a8182
121234888381
1376b45b4a3
144238c6aad
1525e25a6a1
hex16e0da011

6141354001 has 8 divisors (see below), whose sum is σ = 6226846920. Its totient is φ = 6055898112.

The previous prime is 6141353987. The next prime is 6141354007. The reversal of 6141354001 is 1004531416.

It can be written as a sum of positive squares in 4 ways, for example, as 3326520976 + 2814833025 = 57676^2 + 53055^2 .

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 6141354001 - 27 = 6141353873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6141354007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598845 + ... + 609013.

It is an arithmetic number, because the mean of its divisors is an integer number (778355865).

Almost surely, 26141354001 is an apocalyptic number.

It is an amenable number.

6141354001 is a deficient number, since it is larger than the sum of its proper divisors (85492919).

6141354001 is a wasteful number, since it uses less digits than its factorization.

6141354001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18515.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 6141354001 is about 78366.7914425492. The cubic root of 6141354001 is about 1831.2798238788.

Adding to 6141354001 its reverse (1004531416), we get a palindrome (7145885417).

The spelling of 6141354001 in words is "six billion, one hundred forty-one million, three hundred fifty-four thousand, one".

Divisors: 1 73 8273 10169 603929 742337 84128137 6141354001