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4133003204401 = 172227310915361
BaseRepresentation
bin111100001001001010001…
…100000001011100110001
3112122010000002200112111121
4330021022030001130301
51020203342310020101
612442401522142241
7604412446410331
oct74111214013461
915563002615447
104133003204401
11135388461a705
125690064b1981
1323c981c37196
141040776070c1
15727977e70a1
hex3c24a301731

4133003204401 has 8 divisors (see below), whose sum is σ = 4376317917384. Its totient is φ = 3889710366720.

The previous prime is 4133003204383. The next prime is 4133003204437. The reversal of 4133003204401 is 1044023003314.

It can be written as a sum of positive squares in 4 ways, for example, as 174001608225 + 3959001596176 = 417135^2 + 1989724^2 .

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

It is not a de Polignac number, because 4133003204401 - 27 = 4133003204273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4133003204441) 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, 5079040 + ... + 5836321.

It is an arithmetic number, because the mean of its divisors is an integer number (547039739673).

Almost surely, 24133003204401 is an apocalyptic number.

It is an amenable number.

4133003204401 is a deficient number, since it is larger than the sum of its proper divisors (243314712983).

4133003204401 is a wasteful number, since it uses less digits than its factorization.

4133003204401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10937651.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 4133003204401 its reverse (1044023003314), we get a palindrome (5177026207715).

The spelling of 4133003204401 in words is "four trillion, one hundred thirty-three billion, three million, two hundred four thousand, four hundred one".

Divisors: 1 17 22273 378641 10915361 185561137 243117835553 4133003204401