Search a number
-
+
4044101000 = 235313130871
BaseRepresentation
bin1111000100001100…
…0001010110001000
3101102211200121122112
43301003001112020
531240242213000
61505143041452
7202134201632
oct36103012610
911384617575
104044101000
111795875a35
1294a440288
134c5ac2a94
142a5153a52
1518a087235
hexf10c1588

4044101000 has 64 divisors (see below), whose sum is σ = 9535743360. Its totient is φ = 1605240000.

The previous prime is 4044100979. The next prime is 4044101027. The reversal of 4044101000 is 1014404.

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, 115565 + ... + 146435.

It is an arithmetic number, because the mean of its divisors is an integer number (148995990).

Almost surely, 24044101000 is an apocalyptic number.

4044101000 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 4044101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767871680).

4044101000 is an abundant number, since it is smaller than the sum of its proper divisors (5491642360).

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

4044101000 is a wasteful number, since it uses less digits than its factorization.

4044101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31023 (or 31009 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4044101000 is about 63593.2464967783. The cubic root of 4044101000 is about 1593.2135736663.

Adding to 4044101000 its reverse (1014404), we get a palindrome (4045115404).

The spelling of 4044101000 in words is "four billion, forty-four million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 131 200 250 262 500 524 655 1000 1048 1310 2620 3275 5240 6550 13100 16375 26200 30871 32750 61742 65500 123484 131000 154355 246968 308710 617420 771775 1234840 1543550 3087100 3858875 4044101 6174200 7717750 8088202 15435500 16176404 20220505 30871000 32352808 40441010 80882020 101102525 161764040 202205050 404410100 505512625 808820200 1011025250 2022050500 4044101000