Search a number
-
+
4144441308 = 2237431147409
BaseRepresentation
bin1111011100000111…
…0010011111011100
3101200211111102200020
43313001302133130
531441434110213
61523125432140
7204463112160
oct36701623734
911624442606
104144441308
11183747a107
12977b6b650
13510825447
142b45d2ca0
15193ca7923
hexf70727dc

4144441308 has 48 divisors (see below), whose sum is σ = 11308872960. Its totient is φ = 1156587264.

The previous prime is 4144441261. The next prime is 4144441319. The reversal of 4144441308 is 8031444414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570093 + ... + 577316.

It is an arithmetic number, because the mean of its divisors is an integer number (235601520).

Almost surely, 24144441308 is an apocalyptic number.

It is an amenable number.

4144441308 is an abundant number, since it is smaller than the sum of its proper divisors (7164431652).

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

4144441308 is a wasteful number, since it uses less digits than its factorization.

4144441308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147466 (or 1147464 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 4144441308 is about 64377.3353595813. The cubic root of 4144441308 is about 1606.2827590244.

The spelling of 4144441308 in words is "four billion, one hundred forty-four million, four hundred forty-one thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 3612 1147409 2294818 3442227 4589636 6884454 8031863 13768908 16063726 24095589 32127452 48191178 49338587 96382356 98677174 148015761 197354348 296031522 345370109 592063044 690740218 1036110327 1381480436 2072220654 4144441308