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440113243241334 = 231310995475422211
BaseRepresentation
bin110010000010001111101100…
…1100001100011101101110110
32010201022102012122022211112210
41210010133121201203231312
5430141303410232210314
64200013122134554250
7161463063310454535
oct14404373141435566
92121272178284483
10440113243241334
11118262a84099013
1241440a8a808986
1315b76668210c10
147a9784794a31c
1535d354ea33559
hex19047d9863b76

440113243241334 has 64 divisors (see below), whose sum is σ = 956733257652480. Its totient is φ = 134162999982720.

The previous prime is 440113243241333. The next prime is 440113243241339. The reversal of 440113243241334 is 433142342311044.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 440113243241292 and 440113243241301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440113243241333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78457489 + ... + 83879699.

It is an arithmetic number, because the mean of its divisors is an integer number (14948957150820).

Almost surely, 2440113243241334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440113243241334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478366628826240).

440113243241334 is an abundant number, since it is smaller than the sum of its proper divisors (516620014411146).

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

440113243241334 is a wasteful number, since it uses less digits than its factorization.

440113243241334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431885.

The product of its (nonzero) digits is 331776, while the sum is 39.

Adding to 440113243241334 its reverse (433142342311044), we get a palindrome (873255585552378).

The spelling of 440113243241334 in words is "four hundred forty trillion, one hundred thirteen billion, two hundred forty-three million, two hundred forty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 109 218 327 654 1417 2834 4251 8502 9547 19094 28641 57282 124111 248222 372333 744666 1040623 2081246 3121869 5422211 6243738 10844422 13528099 16266633 27056198 32533266 40584297 70488743 81168594 140977486 211466229 422932458 591020999 1182041998 1773062997 3546125994 7683272987 15366545974 23049818961 46099637922 51765848417 103531696834 155297545251 310595090502 672956029421 1345912058842 2018868088263 4037736176526 5642477477453 11284954954906 16927432432359 33854864864718 73352207206889 146704414413778 220056621620667 440113243241334