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3214041444 = 22371961317
BaseRepresentation
bin1011111110010010…
…0110000101100100
322021222210020000000
42333210212011210
523040243311234
61250532021300
7142434621135
oct27744460544
98258706000
103214041444
1113aa2739a9
12758461830
133c2b46a93
14226c01c8c
1513c273899
hexbf926164

3214041444 has 192 divisors, whose sum is σ = 9053587200. Its totient is φ = 995172480.

The previous prime is 3214041443. The next prime is 3214041449. The reversal of 3214041444 is 4441404123.

3214041444 is a `hidden beast` number, since 3 + 214 + 0 + 4 + 1 + 444 = 666.

3214041444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3214041443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10138774 + ... + 10139090.

It is an arithmetic number, because the mean of its divisors is an integer number (47154100).

Almost surely, 23214041444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3214041444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526793600).

3214041444 is an abundant number, since it is smaller than the sum of its proper divisors (5839545756).

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

3214041444 is a wasteful number, since it uses less digits than its factorization.

3214041444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3214041444 is about 56692.5166490252. The cubic root of 3214041444 is about 1475.7648346339.

Adding to 3214041444 its reverse (4441404123), we get a palindrome (7655445567).

The spelling of 3214041444 in words is "three billion, two hundred fourteen million, forty-one thousand, four hundred forty-four".