Search a number
-
+
44041141120 = 275176166359
BaseRepresentation
bin101001000001000011…
…100111101110000000
311012200022011202221211
4221001003213232000
51210144013003440
632122054255504
73116244344224
oct510103475600
9135608152854
1044041141120
1117750092199
128651357594
1341cb37a022
1421bb190784
15122b686eea
hexa410e7b80

44041141120 has 128 divisors (see below), whose sum is σ = 113308372800. Its totient is φ = 16308142080.

The previous prime is 44041141099. The next prime is 44041141141. The reversal of 44041141120 is 2114114044.

It is an interprime number because it is at equal distance from previous prime (44041141099) and next prime (44041141141).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×440411411202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44041141091 and 44041141100.

It is a congruent number.

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, 630501 + ... + 696859.

Almost surely, 244041141120 is an apocalyptic number.

44041141120 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 44041141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56654186400).

44041141120 is an abundant number, since it is smaller than the sum of its proper divisors (69267231680).

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

44041141120 is a wasteful number, since it uses less digits than its factorization.

44041141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66456 (or 66444 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 44041141120 its reverse (2114114044), we get a palindrome (46155255164).

The spelling of 44041141120 in words is "forty-four billion, forty-one million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 61 64 68 80 85 122 128 136 160 170 244 272 305 320 340 488 544 610 640 680 976 1037 1088 1220 1360 1952 2074 2176 2440 2720 3904 4148 4880 5185 5440 7808 8296 9760 10370 10880 16592 19520 20740 33184 39040 41480 66359 66368 82960 132718 132736 165920 265436 331795 331840 530872 663590 663680 1061744 1128103 1327180 2123488 2256206 2654360 4047899 4246976 4512412 5308720 5640515 8095798 8493952 9024824 10617440 11281030 16191596 18049648 20239495 21234880 22562060 32383192 36099296 40478990 42469760 45124120 64766384 68814283 72198592 80957980 90248240 129532768 137628566 144397184 161915960 180496480 259065536 275257132 323831920 344071415 360992960 518131072 550514264 647663840 688142830 721985920 1101028528 1295327680 1376285660 2202057056 2590655360 2752571320 4404114112 5505142640 8808228224 11010285280 22020570560 44041141120