Search a number
-
+
4014000641 = 72324931681
BaseRepresentation
bin1110111101000000…
…1100101000000001
3101100202001100201102
43233100030220001
531210041010031
61502145544145
7201320304530
oct35720145001
911322040642
104014000641
11177a887102
12940345055
134bc7b4211
142a115a317
151875dd7cb
hexef40ca01

4014000641 has 8 divisors (see below), whose sum is σ = 4786882944. Its totient is φ = 3290981760.

The previous prime is 4014000583. The next prime is 4014000649. The reversal of 4014000641 is 1460004104.

It is a happy number.

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 4014000641 - 210 = 4013999617 is a prime.

It is a super-2 number, since 2×40140006412 = 32224402291896821762, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4014000649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12465680 + ... + 12466001.

It is an arithmetic number, because the mean of its divisors is an integer number (598360368).

Almost surely, 24014000641 is an apocalyptic number.

It is an amenable number.

4014000641 is a deficient number, since it is larger than the sum of its proper divisors (772882303).

4014000641 is a wasteful number, since it uses less digits than its factorization.

4014000641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24931711.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4014000641 is about 63356.1413045334. The cubic root of 4014000641 is about 1589.2509480208.

Adding to 4014000641 its reverse (1460004104), we get a palindrome (5474004745).

The spelling of 4014000641 in words is "four billion, fourteen million, six hundred forty-one", and thus it is an aban number.

Divisors: 1 7 23 161 24931681 174521767 573428663 4014000641