82668628907712540
82,668,628,907,712,540 is an even composite number composed of six prime numbers multiplied together.
What does the number 82668628907712540 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
82668628907712540 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 82668628907712540:
22 × 35 × 5 × 7 × 11 × 220909168157
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 220909168157)See below for interesting mathematical facts about the number 82668628907712540 from the Numbermatics database.
Names of 82668628907712540
- Cardinal: 82668628907712540 can be written as Eighty-two quadrillion, six hundred sixty-eight trillion, six hundred twenty-eight billion, nine hundred seven million, seven hundred twelve thousand, five hundred forty.
Scientific notation
- Scientific notation: 8.266862890771254 × 1016
Factors of 82668628907712540
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 220909168185
Divisors of 82668628907712540
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 27 28 30 33 35 36 42 44 45 54 55 60 63 66 70 77 81 84 90 99 105 108 110 126 132 135 140 154 162 165 180 189 198 210 220 231 243 252 270 297 308 315 324 330 378 385 396 405 420 462 486 495 540 567 594 630 660 693 756 770 810 891 924 945 972 990 1134 1155 1188 1215 1260 1386 1485 1540 1620 1701 1782 1890 1980 2079 2268 2310 2430 2673 2772 2835 2970 3402 3465 3564 3780 4158 4455 4620 4860 5346 5670 5940 6237 6804 6930 8316 8505 8910 10395 10692 11340 12474 13365 13860 17010 17820 18711 20790 24948 26730 31185 34020 37422 41580 53460 62370 74844 93555 124740 187110 374220 220909168157 441818336314 662727504471 883636672628 1104545840785 1325455008942 1546364177099 1988182513413 2209091681570 2430000849727 2650910017884 3092728354198 3313637522355 3976365026826 4418183363140 4639092531297 4860001699454 5964547540239 6185456708396 6627275044710 7290002549181 7731820885495 7952730053652 9278185062594 9720003398908 9940912567065 11929095080478 12150004248635 13254550089420 13917277593891 14580005098362 15463641770990 17010005948089 17893642620717 18556370125188 19881825134130 21870007647543 23195462656485 23858190160956 24300008497270 27834555187782 29160010196724 29822737701195 30927283541980 34020011896178 35787285241434 36450012745905 39763650268260 41751832781673 43740015295086 46390925312970 48600016994540 51030017844267 53680927862151 55669110375564 59645475402390 65610022942629 68040023792356 69586387969455 71574570482868 72900025491810 83503665563346 85050029740445 87480030590172 89468213103585 92781850625940 102060035688534 107361855724302 109350038237715 119290950804780 125255498345019 131220045885258 139172775938910 145800050983620 153090053532801 167007331126692 170100059480890 178936426207170 196830068827887 204120071377068 208759163908365 214723711448604 218700076475430 250510996690038 255150089221335 262440091770516 268404639310755 278345551877820 306180107065602 328050114713145 340200118961780 357872852414340 375766495035057 393660137655774 417518327816730 437400152950860 459270160598403 501021993380076 510300178442670 536809278621510 590490206483661 612360214131204 626277491725095 656100229426290 751532990070114 765450267664005 787320275311548 835036655633460 918540321196806 984150344139435 1020600356885340 1073618557243020 1180980412967322 1252554983450190 1312200458852580 1377810481795209 1503065980140228 1530900535328010 1837080642393612 1878832475175285 1968300688278870 2296350802992015 2361960825934644 2505109966900380 2755620963590418 2952451032418305 3061801070656020 3757664950350570 3936601376557740 4133431445385627 4592701605984030 5511241927180836 5904902064836610 6889052408976045 7515329900701140 8266862890771254 9185403211968060 11809804129673220 13778104817952090 16533725781542508 20667157226928135 27556209635904180 41334314453856270 82668628907712540
- Sum of all divisors σ(n): 324216898828752384
- Sum of proper divisors (its aliquot sum) s(n): 241548269921039844
- 82668628907712540 is an abundant number, because the sum of its proper divisors (241548269921039844) is greater than itself. Its abundance is 158879641013327304
Bases of 82668628907712540
- Binary: 1001001011011001010101110000101000001110011100000000111002
- Hexadecimal: 0x125B2AE141CE01C
- Base-36: MLZKZU2WLR0
Squares and roots of 82668628907712540
- 82668628907712540 squared (826686289077125402) is 6834102205481085424332295273251600
- 82668628907712540 cubed (826686289077125403) is 564965859142295683537186638808240417318003895064000
-
The
square root of 82668628907712540 is 287521527.7291642035 -
The
cube root of 82668628907712540 is 435625.7852034313
Scales and comparisons
How big is 82668628907712540?- 82,668,628,907,712,540 seconds is equal to 2,628,606,688 years, 21 weeks, 1 day, 9 minutes.
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To count from 1 to 82,668,628,907,712,540 would take you about seven billion, eight hundred eighty-five million, eight hundred twenty thousand and sixty-five 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 82668628907712540 cubic inches would be around 36302.1 feet tall.
Recreational maths with 82668628907712540
- 82668628907712540 backwards is 04521770982686628
- 82668628907712540 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 82668628907712540's digits is 81
- More coming soon!
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