Search a number
-
+
110440117516060 = 2251011391561925183
BaseRepresentation
bin11001000111000111010111…
…111110010011011100011100
3112111000222020200022010100001
4121013013113332103130130
5103433422330041003220
61030515253425344044
732156015031626023
oct3107072776233434
9474028220263301
10110440117516060
113220a433196142
121047804ba98024
1349815c6129487
141d3b48a1418ba
15cb7c030a780a
hex6471d7f9371c

110440117516060 has 96 divisors (see below), whose sum is σ = 235930038220800. Its totient is φ = 43419489350400.

The previous prime is 110440117516039. The next prime is 110440117516129. The reversal of 110440117516060 is 60615711044011.

It is a super-2 number, since 2×1104401175160602 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4385490229 + ... + 4385515411.

It is an arithmetic number, because the mean of its divisors is an integer number (2457604564800).

Almost surely, 2110440117516060 is an apocalyptic number.

110440117516060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110440117516060 is an abundant number, since it is smaller than the sum of its proper divisors (125489920704740).

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

110440117516060 is a wasteful number, since it uses less digits than its factorization.

110440117516060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41051 (or 41049 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 110440117516060 in words is "one hundred ten trillion, four hundred forty billion, one hundred seventeen million, five hundred sixteen thousand, sixty".

Divisors: 1 2 4 5 10 20 101 139 202 278 404 505 556 695 1010 1390 2020 2780 14039 15619 25183 28078 31238 50366 56156 62476 70195 78095 100732 125915 140390 156190 251830 280780 312380 503660 1577519 2171041 2543483 3155038 3500437 4342082 5086966 6310076 7000874 7887595 8684164 10173932 10855205 12717415 14001748 15775190 17502185 21710410 25434830 31550380 35004370 43420820 50869660 70008740 219275141 353544137 393333277 438550282 707088274 786666554 877100564 1096375705 1414176548 1573333108 1767720685 1966666385 2192751410 3535441370 3933332770 4385502820 7070882740 7866665540 39726660977 54673325503 79453321954 109346651006 158906643908 198633304885 218693302012 273366627515 397266609770 546733255030 794533219540 1093466510060 5522005875803 11044011751606 22088023503212 27610029379015 55220058758030 110440117516060