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4044442000 = 245312715923
BaseRepresentation
bin1111000100010001…
…0100100110010000
3101102212022221102011
43301010110212100
531240334121000
61505154232304
7202140122044
oct36104244620
911385287364
104044442000
111795a89155
1294a585694
134c5bb2061
142a5202024
1518a1032ba
hexf1114990

4044442000 has 80 divisors (see below), whose sum is σ = 9857083392. Its totient is φ = 1604937600.

The previous prime is 4044441977. The next prime is 4044442019. The reversal of 4044442000 is 2444404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×40444420002 = 32715022182728000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246039 + ... + 261961.

Almost surely, 24044442000 is an apocalyptic number.

4044442000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928541696).

4044442000 is an abundant number, since it is smaller than the sum of its proper divisors (5812641392).

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

4044442000 is a wasteful number, since it uses less digits than its factorization.

4044442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16073 (or 16057 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 4044442000 is about 63595.9275425715. The cubic root of 4044442000 is about 1593.2583525149.

Adding to 4044442000 its reverse (2444404), we get a palindrome (4046886404).

The spelling of 4044442000 in words is "four billion, forty-four million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 127 200 250 254 400 500 508 635 1000 1016 1270 2000 2032 2540 3175 5080 6350 10160 12700 15875 15923 25400 31750 31846 50800 63500 63692 79615 127000 127384 159230 254000 254768 318460 398075 636920 796150 1273840 1592300 1990375 2022221 3184600 3980750 4044442 6369200 7961500 8088884 10111105 15923000 16177768 20222210 31846000 32355536 40444420 50555525 80888840 101111050 161777680 202222100 252777625 404444200 505555250 808888400 1011110500 2022221000 4044442000