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531241144001 = 7012336932429
BaseRepresentation
bin1111011101100000111…
…00001000111011000001
31212210020002221021002222
413232300130020323001
532200440213102001
61044014313220425
753244436135001
oct7566034107301
91783202837088
10531241144001
1119533085a377
1286b5b701715
133b1326b17b9
141b9d842c001
15dc436c361b
hex7bb0708ec1

531241144001 has 8 divisors (see below), whose sum is σ = 532038148200. Its totient is φ = 530444252800.

The previous prime is 531241143977. The next prime is 531241144051. The reversal of 531241144001 is 100441142135.

It can be written as a sum of positive squares in 4 ways, for example, as 115926630400 + 415314513601 = 340480^2 + 644449^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-531241144001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (531241144051) 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, 16365455 + ... + 16397883.

It is an arithmetic number, because the mean of its divisors is an integer number (66504768525).

Almost surely, 2531241144001 is an apocalyptic number.

It is an amenable number.

531241144001 is a deficient number, since it is larger than the sum of its proper divisors (797004199).

531241144001 is a wasteful number, since it uses less digits than its factorization.

531241144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56499.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 531241144001 its reverse (100441142135), we get a palindrome (631682286136).

The spelling of 531241144001 in words is "five hundred thirty-one billion, two hundred forty-one million, one hundred forty-four thousand, one".

Divisors: 1 701 23369 32429 16381669 22732729 757833301 531241144001