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4000400444 = 223024133071
BaseRepresentation
bin1110111001110001…
…0100010000111100
3101022210110101202102
43232130110100330
531143100303234
61500542244232
7201063562025
oct35634242074
911283411672
104000400444
111773138077
12937886678
134b9a31a71
1429d419c4c
15186303c7e
hexee71443c

4000400444 has 12 divisors (see below), whose sum is σ = 7001143968. Its totient is φ = 2000073600.

The previous prime is 4000400329. The next prime is 4000400449. The reversal of 4000400444 is 4440040004.

4000400444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000400449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104429 + ... + 137499.

It is an arithmetic number, because the mean of its divisors is an integer number (583428664).

Almost surely, 24000400444 is an apocalyptic number.

It is an amenable number.

4000400444 is a deficient number, since it is larger than the sum of its proper divisors (3000743524).

4000400444 is a wasteful number, since it uses less digits than its factorization.

4000400444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63316 (or 63314 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4000400444 is about 63248.7189119274. The cubic root of 4000400444 is about 1587.4540223028.

Adding to 4000400444 its reverse (4440040004), we get a palindrome (8440440448).

The spelling of 4000400444 in words is "four billion, four hundred thousand, four hundred forty-four".

Divisors: 1 2 4 30241 33071 60482 66142 120964 132284 1000100111 2000200222 4000400444