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104340433101024 = 25316320393270217
BaseRepresentation
bin10111101110010110100110…
…011100110110000011100000
3111200102211220011221121101010
4113232112212130312003200
5102134003201333213044
61005525155551340520
730656230125566031
oct2756264634660340
9450384804847333
10104340433101024
113027859037730a
12b851a5bb21740
13462b350783713
141baa1651a0a88
15c0e202971bb9
hex5ee5a67360e0

104340433101024 has 96 divisors (see below), whose sum is σ = 275709201788160. Its totient is φ = 34549805878272.

The previous prime is 104340433101019. The next prime is 104340433101041. The reversal of 104340433101024 is 420101334043401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 104340433100982 and 104340433101000.

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, 30271164 + ... + 33541380.

It is an arithmetic number, because the mean of its divisors is an integer number (2871970851960).

Almost surely, 2104340433101024 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 104340433101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137854600894080).

104340433101024 is an abundant number, since it is smaller than the sum of its proper divisors (171368768687136).

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

104340433101024 is a wasteful number, since it uses less digits than its factorization.

104340433101024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272432 (or 3272424 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 104340433101024 its reverse (420101334043401), we get a palindrome (524441767144425).

The spelling of 104340433101024 in words is "one hundred four trillion, three hundred forty billion, four hundred thirty-three million, one hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2039 2608 3912 4078 5216 6117 7824 8156 12234 15648 16312 24468 32624 48936 65248 97872 195744 332357 664714 997071 1329428 1994142 2658856 3270217 3988284 5317712 6540434 7976568 9810651 10635424 13080868 15953136 19621302 26161736 31906272 39242604 52323472 78485208 104646944 156970416 313940832 533045371 1066090742 1599136113 2132181484 3198272226 4264362968 6396544452 6667972463 8528725936 12793088904 13335944926 17057451872 20003917389 25586177808 26671889852 40007834778 51172355616 53343779704 80015669556 106687559408 160031339112 213375118816 320062678224 640125356448 1086879511469 2173759022938 3260638534407 4347518045876 6521277068814 8695036091752 13042554137628 17390072183504 26085108275256 34780144367008 52170216550512 104340433101024