85329824344315200
85,329,824,344,315,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 85329824344315200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2016 divisors.
85329824344315200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 85329824344315200:
26 × 32 × 52 × 133 × 67 × 79 × 509573
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 67 × 79 × 509573)See below for interesting mathematical facts about the number 85329824344315200 from the Numbermatics database.
Names of 85329824344315200
- Cardinal: 85329824344315200 can be written as Eighty-five quadrillion, three hundred twenty-nine trillion, eight hundred twenty-four billion, three hundred forty-four million, three hundred fifteen thousand, two hundred.
Scientific notation
- Scientific notation: 8.53298243443152 × 1016
Factors of 85329824344315200
Divisors of 85329824344315200
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 67 72 75 78 79 80 90 96 100 104 117 120 130 134 144 150 156 158 160 169 180 192 195 200 201 208 225 234 237 240 260 268 288 300 312 316 320 325 335 338 360 390 395 400 402 416 450 468 474 480 507 520 536 576 585 600 603 624 632 650 670 676 711 720 780 790 800 804 832 845 871 900 936 948 960 975 1005 1014 1027 1040 1072 1170 1185 1200 1206 1248 1264 1300 1340 1352 1422 1440 1521 1560 1580 1600 1608 1675 1690 1742 1800 1872 1896 1950 1975 2010 2028 2054 2080 2144 2197 2340 2370 2400 2412 2496 2528 2535 2600 2613 2680 2704 2844 2880 2925 3015 3042 3081 3120 3160 3216 3350 3380 3484 3555 3600 3744 3792 3900 3950 4020 4056 4108 4160 4225 4288 4355 4394 4680 4740 4800 4824 5025 5056 5070 5135 5200 5226 5293 5360 5408 5688 5850 5925 6030 6084 6162 6240 6320 6432 6591 6700 6760 6968 7110 7200 7488 7584 7605 7800 7839 7900 8040 8112 8216 8450 8710 8788 9243 9360 9480 9648 10050 10140 10270 10400 10452 10586 10720 10816 10985 11323 11376 11700 11850 12060 12168 12324 12480 12640 12675 12864 13065 13182 13351 13400 13520 13936 14220 14400 15075 15168 15210 15405 15600 15678 15800 15879 16080 16224 16432 16900 17420 17576 17775 18486 18720 18960 19296 19773 20100 20280 20540 20800 20904 21172 21440 21775 21970 22646 22752 23400 23700 24120 24336 24648 25280 25350 25675 26130 26364 26465 26702 26800 27040 27872 28440 30150 30420 30810 31200 31356 31600 31758 32160 32448 32864 32955 33800 33969 34840 35152 35550 36972 37440 37920 38025 38592 39195 39546 40053 40200 40560 41080 41808 42344 43550 43940 45292 45504 46215 46800 47400 47637 48240 48672 49296 50700 51350 52260 52728 52930 53404 53600 54080 54925 55744 56615 56880 60300 60840 61620 62400 62712 63200 63516 64320 65325 65728 65910 66755 67600 67938 68809 69680 70304 71100 73944 75840 76050 77025 78390 79092 79395 80106 80400 81120 82160 83616 84688 87100 87880 90584 92430 93600 94800 95274 96480 97344 98592 98865 101400 101907 102700 104520 105456 105860 106808 107200 109850 113230 113760 120159 120600 121680 123240 125424 126400 127032 130650 131820 132325 133510 135200 135876 137618 139360 140608 142200 147199 147888 152100 154050 156780 158184 158790 160212 160800 162240 164320 164775 167232 169376 169845 173563 174200 175760 181168 184860 187200 189600 190548 192960 195975 197184 197730 200265 202800 203814 205400 206427 209040 210912 211720 213616 219700 226460 227520 231075 238185 240318 241200 243360 246480 250848 254064 261300 263640 264650 267020 270400 271752 275236 278720 283075 284400 294398 295776 304200 308100 313560 316368 317580 320424 321600 328640 329550 333775 338752 339690 344045 347126 348400 351520 362336 369720 379200 381096 391950 395460 396975 400530 405600 407628 410800 412854 418080 421824 423440 427232 439400 441597 452920 462150 476370 480636 482400 486720 492960 494325 501696 508128 509535 509573 520689 522600 527280 529300 534040 543504 550472 566150 568800 588796 591552 600795 608400 616200 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43758884279136 45005181616200 45582171124100 47405457969064 48983825685600 50491020322080 50943178713024 53065811159400 53331140215197 54006217939440 54698605348920 56101133691200 59256822461330 60006908821600 63113775402600 63678973391280 65638326418704 67507772424300 68373256686150 70754414879200 71108186953596 72008290585920 72931473798560 79598716739100 82047908023380 83086489137600 84151700536800 84905297855040 87517768558272 88885233691995 90010363232400 91164342248200 94810915938128 97967651371200 100982040644160 102559885029225 106131622318800 106662280430394 108012435878880 109397210697840 118513644922660 120013817643200 126227550805200 127357946782560 131276652837408 135015544848600 136746513372300 141508829758400 142216373907192 145862947597120 148142056153325 159197433478200 164095816046760 168303401073600 177770467383990 180020726464800 182328684496400 189621831876256 205119770058450 212263244637600 213324560860788 216024871757760 218794421395680 237027289845320 252455101610400 254715893565120 262553305674816 266655701075985 270031089697200 273493026744600 284432747814384 296284112306650 318394866956400 328191632093520 355540934767980 360041452929600 364657368992800 379243663752512 410239540116900 424526489275200 426649121721576 437588842791360 444426168459975 474054579690640 504910203220800 533311402151970 540062179394400 546986053489200 568865495628768 592568224613300 636789733912800 656383264187040 711081869535960 729314737985600 820479080233800 853298243443152 888852336919950 948109159381280 1066622804303940 1080124358788800 1093972106978400 1137730991257536 1185136449226600 1273579467825600 1312766528374080 1333278505379925 1422163739071920 1640958160467600 1706596486886304 1777704673839900 1896218318762560 2133245608607880 2187944213956800 2370272898453200 2666557010759850 2844327478143840 3281916320935200 3413192973772608 3555409347679800 4266491217215760 4740545796906400 5333114021519700 5688654956287680 6563832641870400 7110818695359600 8532982434431520 9481091593812800 10666228043039400 14221637390719200 17065964868863040 21332456086078800 28443274781438400 42664912172157600 85329824344315200
- Sum of all divisors σ(n): 337669538857996800
- Sum of proper divisors (its aliquot sum) s(n): 252339714513681600
- 85329824344315200 is an abundant number, because the sum of its proper divisors (252339714513681600) is greater than itself. Its abundance is 167009890169366400
Bases of 85329824344315200
- Binary: 1001011110010011100000101111011001100101000010101010000002
- Hexadecimal: 0x12F2705ECCA1540
- Base-36: NC6WC53TU80
Squares and roots of 85329824344315200
- 85329824344315200 squared (853298243443152002) is 7281178922631686951602556951040000
- 85329824344315200 cubed (853298243443152003) is 621301718487692041385056521660644534068727808000000
-
The
square root of 85329824344315200 is 292112691.1729704359 -
The
cube root of 85329824344315200 is 440250.9318394535
Scales and comparisons
How big is 85329824344315200?- 85,329,824,344,315,200 seconds is equal to 2,713,224,471 years, 34 weeks, 6 days, 20 hours.
-
To count from 1 to 85,329,824,344,315,200 would take you about eight billion, one hundred thirty-nine million, six hundred seventy-three thousand, four hundred fifteen 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 85329824344315200 cubic inches would be around 36687.6 feet tall.
Recreational maths with 85329824344315200
- 85329824344315200 backwards is 00251344342892358
- The number of decimal digits it has is: 17
- The sum of 85329824344315200's digits is 63
- More coming soon!
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"Number 85329824344315200 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 85329824344315200 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/85329824344315200/
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The information we have on file for 85329824344315200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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