328013357625408000
328,013,357,625,408,000 is an even composite number composed of seven prime numbers multiplied together.
328013357625408000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 328013357625408000:
29 × 3 × 53 × 7 × 13 × 1812 × 7572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 181 × 181 × 757 × 757)See below for interesting mathematical facts about the number 328013357625408000 from the Numbermatics database.
Names of 328013357625408000
- Cardinal: 328013357625408000 can be written as Three hundred twenty-eight quadrillion, thirteen trillion, three hundred fifty-seven billion, six hundred twenty-five million, four hundred eight thousand.
Scientific notation
- Scientific notation: 3.28013357625408 × 1017
Factors of 328013357625408000
Divisors of 328013357625408000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 80 84 91 96 100 104 105 112 120 125 128 130 140 150 156 160 168 175 181 182 192 195 200 208 210 224 240 250 256 260 273 280 300 312 320 325 336 350 362 364 375 384 390 400 416 420 448 455 480 500 512 520 525 543 546 560 600 624 640 650 672 700 724 728 750 757 768 780 800 832 840 875 896 905 910 960 975 1000 1040 1050 1086 1092 1120 1200 1248 1267 1280 1300 1344 1365 1400 1448 1456 1500 1514 1536 1560 1600 1625 1664 1680 1750 1792 1810 1820 1920 1950 2000 2080 2100 2172 2184 2240 2271 2275 2353 2400 2496 2534 2560 2600 2625 2688 2715 2730 2800 2896 2912 3000 3028 3120 3200 3250 3328 3360 3500 3584 3620 3640 3785 3801 3840 3900 4000 4160 4200 4344 4368 4480 4525 4542 4550 4706 4800 4875 4992 5068 5200 5250 5299 5376 5430 5460 5600 5792 5824 6000 6056 6240 6335 6400 6500 6656 6720 6825 7000 7059 7240 7280 7570 7602 7680 7800 8000 8320 8400 8688 8736 8960 9050 9084 9100 9412 9600 9750 9841 9984 10136 10400 10500 10598 10752 10860 10920 11200 11355 11375 11584 11648 11765 12000 12112 12480 12670 12800 13000 13440 13575 13650 14000 14118 14480 14560 15140 15204 15600 15897 16000 16471 16640 16800 17376 17472 17920 18100 18168 18200 18824 18925 19005 19200 19500 19682 19968 20272 20800 21000 21196 21720 21840 22400 22625 22710 22750 23168 23296 23530 24000 24224 24960 25340 26000 26495 26880 27150 27300 28000 28236 28960 29120 29523 30280 30408 31200 31675 31794 32000 32761 32942 33280 33600 34125 34752 34944 35295 36200 36336 36400 37648 37850 38010 38400 39000 39364 40544 41600 42000 42392 43440 43680 44800 45250 45420 45500 46336 46592 47060 48000 48448 49205 49413 49920 50680 52000 52990 53760 54300 54600 56000 56472 56775 57920 58240 58825 59046 60560 60816 62400 63350 63588 64000 65522 65884 67200 67875 68250 68887 69504 69888 70590 72400 72672 72800 75296 75700 76020 78000 78728 79485 81088 82355 83200 84000 84784 86880 87360 89600 90500 90840 91000 92672 94120 94625 95025 96000 96896 98283 98410 98826 99840 101360 104000 105980 108600 109200 112000 112944 113550 115840 116480 117650 118092 121120 121632 124800 126700 127176 131044 131768 132475 134400 135750 136500 137017 137774 139008 139776 141180 144800 145344 145600 147615 150592 151400 152040 156000 157456 158375 158970 162176 163805 164710 166400 168000 169568 173760 174720 176475 181000 181680 182000 188240 189250 190050 192000 193792 196566 196820 197652 202720 206661 208000 211960 217200 218400 224000 225888 227100 229327 231680 232960 235300 236184 242240 243264 246025 247065 249600 253400 254352 262088 263536 264950 268800 271500 273000 274034 275548 278016 282360 283875 289600 290688 291200 294125 295230 301184 302800 304080 312000 314912 316750 317940 324352 327610 329420 336000 339136 344435 347520 349440 352950 362000 363360 364000 376480 378500 380100 387584 393132 393640 395304 397425 405440 411051 411775 413322 416000 423920 425893 434400 436800 448000 451776 454200 458654 463360 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39049209241120 39424682406900 41001669703176 42052994567360 42710072607475 43148297504000 43330694534400 45056779893600 45305712379200 46467397312000 46859051089344 48060565219840 48811511551400 49280853008625 50463593480832 51252087128970 51777957004800 52566243209200 54163368168000 54668892937568 56320974867000 56632140474000 58573813861680 60075706524800 60407616505600 61014389439250 61900992192000 62478734785792 63079491851040 64722446256000 65707804011500 67284791307776 68336116171960 69701095968000 72090847829760 72217824224000 72489139806720 73217267327100 75094633156000 75509520632000 78098418482240 78849364813800 82003339406352 84105989134720 85420145214950 86296595008000 86661389068800 90113559787200 90611424758400 91521584158875 93718102178688 97623023102800 98561706017250 100927186961664 102504174257940 105132486418400 108326736336000 109337785875136 112641949734000 113264280948000 117147627723360 120151413049600 120815233011200 122028778878500 124957469571584 126158983702080 128130217822425 129444892512000 131415608023000 136672232343920 139402191936000 144181695659520 144435648448000 146434534654200 150189266312000 151019041264000 156196836964480 157698729627600 164006678812704 168211978269440 170840290429900 180227119574400 181222849516800 183043168317750 187436204357376 195246046205600 197123412034500 201854373923328 205008348515880 210264972836800 213550363037375 216653472672000 218675571750272 225283899468000 226528561896000 234295255446720 240302826099200 244057557757000 252317967404160 256260435644850 258889785024000 262831216046000 273344464687840 292869069308400 300378532624000 302038082528000 312393673928960 315397459255200 328013357625408 336423956538880 341680580859800 360454239148800 362445699033600 366086336635500 374872408714752 390492092411200 394246824069000 410016697031760 420529945673600 427100726074750 433306945344000 437351143500544 450567798936000 453057123792000 468590510893440 488115115514000 504635934808320 512520871289700 525662432092000 546688929375680 585738138616800 600757065248000 604076165056000 624787347857920 630794918510400 640651089112125 656026715250816 683361161719600 720908478297600 732172673271000 780984184822400 788493648138000 820033394063520 841059891347200 854201452149500 874702287001088 901135597872000 906114247584000 937181021786880 976230231028000 1009271869616640 1025041742579400 1051324864184000 1093377858751360 1171476277233600 1201514130496000 1261589837020800 1281302178224250 1312053430501632 1366722323439200 1464345346542000 1561968369644800 1576987296276000 1640066788127040 1682119782694400 1708402904299000 1802271195744000 1812228495168000 1874362043573760 1952460462056000 2050083485158800 2102649728368000 2186755717502720 2342952554467200 2523179674041600 2562604356448500 2624106861003264 2733444646878400 2928690693084000 3123936739289600 3153974592552000 3280133576254080 3416805808598000 3604542391488000 3904920924112000 4100166970317600 4205299456736000 4373511435005440 4685905108934400 5046359348083200 5125208712897000 5466889293756800 5857381386168000 6307949185104000 6560267152508160 6833611617196000 7809841848224000 8200333940635200 8410598913472000 9371810217868800 10250417425794000 10933778587513600 11714762772336000 12615898370208000 13120534305016320 13667223234392000 15619683696448000 16400667881270400 20500834851588000 21867557175027200 23429525544672000 25231796740416000 27334446468784000 32801335762540800 41001669703176000 46859051089344000 54668892937568000 65602671525081600 82003339406352000 109337785875136000 164006678812704000 328013357625408000
- Sum of all divisors σ(n): 1351472566291271424
- Sum of proper divisors (its aliquot sum) s(n): 1023459208665863424
- 328013357625408000 is an abundant number, because the sum of its proper divisors (1023459208665863424) is greater than itself. Its abundance is 695445851040455424
Bases of 328013357625408000
- Binary: 100100011010101011001101001001011101101100001111010000000002
- Hexadecimal: 0x48D56692ED87A00
- Base-36: 2HPR148C8UTC
Squares and roots of 328013357625408000
- 328013357625408000 squared (3280133576254080002) is 107592762780693804540447166464000000
- 328013357625408000 cubed (3280133576254080003) is 35291863375889404201562068263026441131917312000000000
-
The
square root of 328013357625408000 is 572724504.1251578925 -
The
cube root of 328013357625408000 is 689652.8097369079
Scales and comparisons
How big is 328013357625408000?- 328,013,357,625,408,000 seconds is equal to 10,429,810,160 years, 28 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 328,013,357,625,408,000 would take you about thirty-one billion, two hundred eighty-nine million, four hundred thirty thousand, four hundred eighty-one 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 328013357625408000 cubic inches would be around 57471.1 feet tall.
Recreational maths with 328013357625408000
- 328013357625408000 backwards is 000804526753310823
- The number of decimal digits it has is: 18
- The sum of 328013357625408000's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 328013357625408000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 328013357625408000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/328013357625408000/
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The information we have on file for 328013357625408000 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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