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2441104433120 = 255103239619771
BaseRepresentation
bin100011100001011101001…
…010011001111111100000
322122100220202122202212202
4203201131022121333200
5304443340213324440
65105232231512332
7341235562215353
oct43413512317740
98570822582782
102441104433120
118612a28a4171
12335128b286a8
1314926c9c8692
1486215b9429a
154377331c615
hex2385d299fe0

2441104433120 has 96 divisors (see below), whose sum is σ = 5847474447360. Its totient is φ = 962914337280.

The previous prime is 2441104433111. The next prime is 2441104433143. The reversal of 2441104433120 is 213344011442.

2441104433120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3628835 + ... + 4248605.

It is an arithmetic number, because the mean of its divisors is an integer number (60911192160).

Almost surely, 22441104433120 is an apocalyptic number.

2441104433120 is a gapful number since it is divisible by the number (20) 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 2441104433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923737223680).

2441104433120 is an abundant number, since it is smaller than the sum of its proper divisors (3406370014240).

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

2441104433120 is a wasteful number, since it uses less digits than its factorization.

2441104433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620128 (or 620120 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 2441104433120 its reverse (213344011442), we get a palindrome (2654448444562).

The spelling of 2441104433120 in words is "two trillion, four hundred forty-one billion, one hundred four million, four hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 239 412 478 515 824 956 1030 1195 1648 1912 2060 2390 3296 3824 4120 4780 7648 8240 9560 16480 19120 24617 38240 49234 98468 123085 196936 246170 393872 492340 619771 787744 984680 1239542 1969360 2479084 3098855 3938720 4958168 6197710 9916336 12395420 19832672 24790840 49581680 63836413 99163360 127672826 148125269 255345652 296250538 319182065 510691304 592501076 638364130 740626345 1021382608 1185002152 1276728260 1481252690 2042765216 2370004304 2553456520 2962505380 4740008608 5106913040 5925010760 10213826080 11850021520 15256902707 23700043040 30513805414 61027610828 76284513535 122055221656 152569027070 244110443312 305138054140 488220886624 610276108280 1220552216560 2441104433120