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4044121000 = 235320112
BaseRepresentation
bin1111000100001100…
…0110001110101000
3101102211201122002021
43301003012032220
531240243333000
61505143314224
7202134314143
oct36103061650
911384648067
104044121000
111795889a67
1294a44b974
134c5acbc0a
142a515b05a
1518a08d11a
hexf10c63a8

4044121000 has 48 divisors (see below), whose sum is σ = 9467951220. Its totient is φ = 1616844000.

The previous prime is 4044120989. The next prime is 4044121057. The reversal of 4044121000 is 1214404.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2733825796 + 1310295204 = 52286^2 + 36198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2009995 + ... + 2012005.

Almost surely, 24044121000 is an apocalyptic number.

4044121000 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 4044121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733975610).

4044121000 is an abundant number, since it is smaller than the sum of its proper divisors (5423830220).

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

4044121000 is an frugal number, since it uses more digits than its factorization.

4044121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4044121000 is about 63593.4037459861. The cubic root of 4044121000 is about 1593.2162000612.

Adding to 4044121000 its reverse (1214404), we get a palindrome (4045335404).

The spelling of 4044121000 in words is "four billion, forty-four million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2011 4022 8044 10055 16088 20110 40220 50275 80440 100550 201100 251375 402200 502750 1005500 2011000 4044121 8088242 16176484 20220605 32352968 40441210 80882420 101103025 161764840 202206050 404412100 505515125 808824200 1011030250 2022060500 4044121000