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4424413315040 = 255379466315647
BaseRepresentation
bin100000001100010001110…
…0101010111111111100000
3120122222011222012222021022
41000120203211113333200
51034442144302040130
613224314124145012
7634440041443535
oct100304345277740
916588158188238
104424413315040
111456423a76994
125b5593098168
132612b3257104
141141dd9aad8c
157a150cd87e5
hex40623957fe0

4424413315040 has 96 divisors (see below), whose sum is σ = 10483173550080. Its totient is φ = 1764604445184.

The previous prime is 4424413315031. The next prime is 4424413315067. The reversal of 4424413315040 is 405133144244.

It is a happy number.

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, 282756497 + ... + 282772143.

It is an arithmetic number, because the mean of its divisors is an integer number (109199724480).

Almost surely, 24424413315040 is an apocalyptic number.

4424413315040 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 4424413315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241586775040).

4424413315040 is an abundant number, since it is smaller than the sum of its proper divisors (6058760235040).

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

4424413315040 is a wasteful number, since it uses less digits than its factorization.

4424413315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20704 (or 20696 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 4424413315040 its reverse (405133144244), we get a palindrome (4829546459284).

The spelling of 4424413315040 in words is "four trillion, four hundred twenty-four billion, four hundred thirteen million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 379 758 1516 1895 3032 3790 4663 6064 7580 9326 12128 15160 15647 18652 23315 30320 31294 37304 46630 60640 62588 74608 78235 93260 125176 149216 156470 186520 250352 312940 373040 500704 625880 746080 1251760 1767277 2503520 3534554 5930213 7069108 8836385 11860426 14138216 17672770 23720852 28276432 29651065 35345540 47441704 56552864 59302130 70691080 72961961 94883408 118604260 141382160 145923922 189766816 237208520 282764320 291847844 364809805 474417040 583695688 729619610 948834080 1167391376 1459239220 2334782752 2918478440 5836956880 11673913760 27652583219 55305166438 110610332876 138262916095 221220665752 276525832190 442441331504 553051664380 884882663008 1106103328760 2212206657520 4424413315040