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4444021142401 = 53496811687757
BaseRepresentation
bin100000010101011010001…
…0011010011001110000001
3120201211210110210210210111
41000222310103103032001
51040302323403024101
613241315524031321
7636032662306141
oct100526423231601
916654713723714
104444021142401
111463776096895
125b9345832541
132630b9601119
1411513db68921
157a8ec3da251
hex40ab44d3381

4444021142401 has 8 divisors (see below), whose sum is σ = 4527964419624. Its totient is φ = 4360081340160.

The previous prime is 4444021142387. The next prime is 4444021142459. The reversal of 4444021142401 is 1042411204444.

It can be written as a sum of positive squares in 4 ways, for example, as 455409025600 + 3988612116801 = 674840^2 + 1997151^2 .

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-4444021142401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4444021142471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1789215 + ... + 3476971.

It is an arithmetic number, because the mean of its divisors is an integer number (565995552453).

Almost surely, 24444021142401 is an apocalyptic number.

It is an amenable number.

4444021142401 is a deficient number, since it is larger than the sum of its proper divisors (83943277223).

4444021142401 is a wasteful number, since it uses less digits than its factorization.

4444021142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737491.

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 4444021142401 its reverse (1042411204444), we get a palindrome (5486432346845).

The spelling of 4444021142401 in words is "four trillion, four hundred forty-four billion, twenty-one million, one hundred forty-two thousand, four hundred one".

Divisors: 1 53 49681 1687757 2633093 89451121 83849455517 4444021142401