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4004121401 = 71733648079
BaseRepresentation
bin1110111010101010…
…0000101100111001
3101100001110102221122
43232222200230321
531200023341101
61501154115025
7201140320220
oct35652405471
911301412848
104004121401
111775249745
12938b7ba75
134ba735607
1429db07cb7
151867db51b
hexeeaa0b39

4004121401 has 8 divisors (see below), whose sum is σ = 4845323520. Its totient is φ = 3230215488.

The previous prime is 4004121397. The next prime is 4004121403. The reversal of 4004121401 is 1041214004.

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 4004121401 - 22 = 4004121397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4004121401.

It is not an unprimeable number, because it can be changed into a prime (4004121403) 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, 16823921 + ... + 16824158.

It is an arithmetic number, because the mean of its divisors is an integer number (605665440).

Almost surely, 24004121401 is an apocalyptic number.

It is an amenable number.

4004121401 is a deficient number, since it is larger than the sum of its proper divisors (841202119).

4004121401 is a wasteful number, since it uses less digits than its factorization.

4004121401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33648103.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4004121401 is about 63278.1273506099. The cubic root of 4004121401 is about 1587.9460578523.

Adding to 4004121401 its reverse (1041214004), we get a palindrome (5045335405).

The spelling of 4004121401 in words is "four billion, four million, one hundred twenty-one thousand, four hundred one".

Divisors: 1 7 17 119 33648079 235536553 572017343 4004121401