Search a number
-
+
44442000020 = 225114127118181
BaseRepresentation
bin101001011000111100…
…110001101010010100
311020201020110111222202
4221120330301222110
51212004123000040
632225534144032
73132212524115
oct513074615224
9136636414882
1044442000020
1117936394440
128743652018
13426342c542
1422184da20c
15125196a015
hexa58f31a94

44442000020 has 96 divisors (see below), whose sum is σ = 104686428672. Its totient is φ = 15707520000.

The previous prime is 44442000013. The next prime is 44442000023. The reversal of 44442000020 is 2000024444.

It is a super-3 number, since 3×444420000203 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 44441999956 and 44442000001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44442000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2435330 + ... + 2453510.

It is an arithmetic number, because the mean of its divisors is an integer number (1090483632).

Almost surely, 244442000020 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 44442000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52343214336).

44442000020 is an abundant number, since it is smaller than the sum of its proper divisors (60244428652).

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

44442000020 is a wasteful number, since it uses less digits than its factorization.

44442000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18513 (or 18511 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 44442000020 its reverse (2000024444), we get a palindrome (46442024464).

The spelling of 44442000020 in words is "forty-four billion, four hundred forty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 271 410 451 542 820 902 1084 1355 1804 2255 2710 2981 4510 5420 5962 9020 11111 11924 14905 18181 22222 29810 36362 44444 55555 59620 72724 90905 111110 122221 181810 199991 222220 244442 363620 399982 488884 611105 745421 799964 999955 1222210 1490842 1999910 2444420 2981684 3727105 3999820 4927051 7454210 8199631 9854102 14908420 16399262 19708204 24635255 32798524 40998155 49270510 54197561 81996310 98541020 108395122 163992620 202009091 216790244 270987805 404018182 541975610 808036364 1010045455 1083951220 2020090910 2222100001 4040181820 4444200002 8888400004 11110500005 22221000010 44442000020