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4002630401 = 711263197651
BaseRepresentation
bin1110111010010011…
…0100101100000001
3101022221122200200102
43232210310230001
531144133133101
61501102132145
7201121540250
oct35644645401
911287580612
104002630401
111774420510
12938581055
134ba332a73
1429d83a797
151865e486b
hexee934b01

4002630401 has 16 divisors (see below), whose sum is σ = 5009292288. Its totient is φ = 3107058000.

The previous prime is 4002630349. The next prime is 4002630419. The reversal of 4002630401 is 1040362004.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4002630401 - 222 = 3998436097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4002630481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78575 + ... + 119076.

It is an arithmetic number, because the mean of its divisors is an integer number (313080768).

Almost surely, 24002630401 is an apocalyptic number.

It is an amenable number.

4002630401 is a deficient number, since it is larger than the sum of its proper divisors (1006661887).

4002630401 is a wasteful number, since it uses less digits than its factorization.

4002630401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197932.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4002630401 is about 63266.3449315669. The cubic root of 4002630401 is about 1587.7489341664.

Adding to 4002630401 its reverse (1040362004), we get a palindrome (5042992405).

The spelling of 4002630401 in words is "four billion, two million, six hundred thirty thousand, four hundred one".

Divisors: 1 7 11 77 263 1841 2893 20251 197651 1383557 2174161 15219127 51982213 363875491 571804343 4002630401