23985416498048413290
23,985,416,498,048,413,290 is an even composite number composed of six prime numbers multiplied together.
What does the number 23985416498048413290 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 224 divisors.
23985416498048413290 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 23985416498048413290:
2 × 36 × 5 × 41 × 137 × 585754066153
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 41 × 137 × 585754066153)See below for interesting mathematical facts about the number 23985416498048413290 from the Numbermatics database.
Names of 23985416498048413290
- Cardinal: 23985416498048413290 can be written as Twenty-three quintillion, nine hundred eighty-five quadrillion, four hundred sixteen trillion, four hundred ninety-eight billion, forty-eight million, four hundred thirteen thousand, two hundred ninety.
Scientific notation
- Scientific notation: 2.398541649804841329 × 1019
Factors of 23985416498048413290
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 585754066341
Divisors of 23985416498048413290
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 137 162 205 243 246 270 274 369 405 410 411 486 615 685 729 738 810 822 1107 1215 1230 1233 1370 1458 1845 2055 2214 2430 2466 3321 3645 3690 3699 4110 5535 5617 6165 6642 7290 7398 9963 11070 11097 11234 12330 16605 16851 18495 19926 22194 28085 29889 33210 33291 33702 36990 49815 50553 55485 56170 59778 66582 84255 99630 99873 101106 110970 149445 151659 166455 168510 199746 252765 298890 303318 332910 454977 499365 505530 758295 909954 998730 1364931 1516590 2274885 2729862 4094793 4549770 6824655 8189586 13649310 20473965 40947930 585754066153 1171508132306 1757262198459 2928770330765 3514524396918 5271786595377 5857540661530 8786310992295 10543573190754 15815359786131 17572621984590 24015916712273 26358932976885 31630719572262 47446079358393 48031833424546 52717865953770 72047750136819 79076798930655 80248307062961 94892158716786 120079583561365 142338238075179 144095500273638 158153597861310 160496614125922 216143250410457 237230396791965 240159167122730 240744921188883 284676476150358 360238750684095 401241535314805 427014714225537 432286500820914 474460793583930 481489842377766 648429751231371 711691190375895 720477501368190 722234763566649 802483070629610 854029428451074 1080716252052285 1203724605944415 1296859502462742 1423382380751790 1444469527133298 1945289253694113 2135073571127685 2161432504104570 2166704290699947 2407449211888830 3242148756156855 3290180589581401 3611173817833245 3890578507388226 4270147142255370 4333408581399894 5835867761082339 6484297512313710 6500112872099841 6580361179162802 7222347635666490 9726446268470565 9870541768744203 10833521453499735 11671735522164678 13000225744199682 16450902947907005 17507603283247017 19452892536941130 19500338616299523 19741083537488406 21667042906999470 29179338805411695 29611625306232609 32500564360499205 32901805895814010 35015206566494034 39000677232599046 49352708843721015 58358677610823390 58501015848898569 59223250612465218 65001128720998410 87538016416235085 88834875918697827 97501693081497615 98705417687442030 117002031697797138 148058126531163045 175076032832470170 177669751837395654 195003386162995230 266504627756093481 292505079244492845 296116253062326090 444174379593489135 533009255512186962 585010158488985690 799513883268280443 888348759186978270 1332523138780467405 1599027766536560886 2398541649804841329 2665046277560934810 3997569416341402215 4797083299609682658 7995138832682804430 11992708249024206645 23985416498048413290
- Sum of all divisors σ(n): 66793831383589961616
- Sum of proper divisors (its aliquot sum) s(n): 42808414885541548326
- 23985416498048413290 is an abundant number, because the sum of its proper divisors (42808414885541548326) is greater than itself. Its abundance is 18822998387493135036
Bases of 23985416498048413290
- Binary: 101001100110111010101000100111001100010111111100000101110011010102
- Hexadecimal: 0x14CDD51398BF82E6A
- Base-36: 528A0JJMZXWMI
Squares and roots of 23985416498048413290
- 23985416498048413290 squared (239854164980484132902) is 575300204584853009853379260686648624100
- 23985416498048413290 cubed (239854164980484132903) is 13798815018380160799083825298697989224444748720766654289000
-
The
square root of 23985416498048413290 is 4897490836.9540022335 -
The
cube root of 23985416498048413290 is 2883914.7708626633
Scales and comparisons
How big is 23985416498048413290?- 23,985,416,498,048,413,290 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 23,985,416,498,048,413,290 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 23985416498048413290 cubic inches would be around 240326.2 feet tall.
Recreational maths with 23985416498048413290
- 23985416498048413290 backwards is 09231484089461458932
- 23985416498048413290 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 23985416498048413290's digits is 90
- More coming soon!
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