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4214144004 = 223750168381
BaseRepresentation
bin1111101100101110…
…1011110000000100
3101212200122200210120
43323023223300010
532112310102004
61534055421540
7206300430060
oct37313536004
911780580716
104214144004
111872857844
129973848b0
135220bb845
142bd978aa0
15199e753d9
hexfb2ebc04

4214144004 has 24 divisors (see below), whose sum is σ = 11237717568. Its totient is φ = 1204041120.

The previous prime is 4214143993. The next prime is 4214144009. The reversal of 4214144004 is 4004414124.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4214144009) 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, 25084107 + ... + 25084274.

It is an arithmetic number, because the mean of its divisors is an integer number (468238232).

Almost surely, 24214144004 is an apocalyptic number.

It is an amenable number.

4214144004 is an abundant number, since it is smaller than the sum of its proper divisors (7023573564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4214144004 is a wasteful number, since it uses less digits than its factorization.

4214144004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50168395 (or 50168393 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4214144004 is about 64916.4386268994. The cubic root of 4214144004 is about 1615.2377549369.

Adding to 4214144004 its reverse (4004414124), we get a palindrome (8218558128).

The spelling of 4214144004 in words is "four billion, two hundred fourteen million, one hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 50168381 100336762 150505143 200673524 301010286 351178667 602020572 702357334 1053536001 1404714668 2107072002 4214144004