428609640009600
428,609,640,009,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 428609640009600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
428609640009600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 428609640009600:
27 × 32 × 52 × 75 × 9412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 941 × 941)See below for interesting mathematical facts about the number 428609640009600 from the Numbermatics database.
Names of 428609640009600
- Cardinal: 428609640009600 can be written as Four hundred twenty-eight trillion, six hundred nine billion, six hundred forty million, nine thousand, six hundred.
Scientific notation
- Scientific notation: 4.286096400096 × 1014
Factors of 428609640009600
Divisors of 428609640009600
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 126 128 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 252 280 288 294 300 315 320 336 343 350 360 384 392 400 420 441 448 450 480 490 504 525 560 576 588 600 630 640 672 686 700 720 735 784 800 840 882 896 900 941 960 980 1008 1029 1050 1120 1152 1176 1200 1225 1260 1344 1372 1400 1440 1470 1568 1575 1600 1680 1715 1764 1800 1882 1920 1960 2016 2058 2100 2205 2240 2352 2400 2401 2450 2520 2688 2744 2800 2823 2880 2940 3087 3136 3150 3200 3360 3430 3528 3600 3675 3764 3920 4032 4116 4200 4410 4480 4704 4705 4800 4802 4900 5040 5145 5488 5600 5646 5760 5880 6174 6272 6300 6587 6720 6860 7056 7200 7203 7350 7528 7840 8064 8232 8400 8469 8575 8820 9408 9410 9600 9604 9800 10080 10290 10976 11025 11200 11292 11760 12005 12348 12600 13174 13440 13720 14112 14115 14400 14406 14700 15056 15435 15680 16464 16800 16807 16938 17150 17640 18816 18820 19208 19600 19761 20160 20580 21609 21952 22050 22400 22584 23520 23525 24010 24696 25200 25725 26348 27440 28224 28230 28800 28812 29400 30112 30870 31360 32928 32935 33600 33614 33876 34300 35280 36015 37640 38416 39200 39522 40320 41160 42345 43218 43904 44100 45168 46109 47040 47050 48020 49392 50400 50421 51450 52696 54880 56448 56460 57624 58800 59283 60025 60224 61740 65856 65870 67200 67228 67752 68600 70560 70575 72030 75280 76832 77175 78400 79044 82320 84035 84690 86436 88200 90336 92218 94080 94100 96040 98784 98805 100800 100842 102900 105392 108045 109760 112920 115248 117600 118566 120050 120448 123480 131712 131740 134456 135504 137200 138327 141120 141150 144060 150560 151263 153664 154350 156800 158088 164640 164675 168070 169380 172872 176400 180075 180672 184436 188200 192080 197568 197610 201600 201684 205800 210784 211725 216090 219520 225840 230496 230545 235200 237132 240100 246960 252105 263480 268912 271008 274400 276654 282240 282300 288120 296415 301120 302526 307328 308700 316176 322763 329280 329350 336140 338760 345744 352800 360150 361344 368872 376400 384160 395136 395220 403368 411600 414981 420175 421568 423450 432180 451680 460992 461090 470400 474264 480200 493920 494025 504210 526960 537824 540225 542016 548800 553308 564600 576240 592830 602240 605052 617400 632352 645526 658560 658700 672280 677520 691488 691635 705600 720300 737744 752800 756315 768320 790440 806736 823200 829962 840350 843136 846900 864360 885481 903360 921984 922180 948528 960400 968289 987840 988050 1008420 1053920 1075648 1080450 1084032 1097600 1106616 1129200 1152480 1152725 1185660 1210104 1234800 1260525 1264704 1291052 1317400 1344560 1355040 1382976 1383270 1411200 1440600 1475488 1482075 1505600 1512630 1536640 1580880 1613472 1613815 1646400 1659924 1680700 1693800 1728720 1770962 1806720 1844360 1897056 1920800 1936578 1975680 1976100 2016840 2074905 2107840 2151296 2160900 2213232 2258400 2259341 2304960 2305450 2371320 2420208 2469600 2521050 2529408 2582104 2634800 2656443 2689120 2710080 2765952 2766540 2881200 2904867 2950976 2964150 3011200 3025260 3161760 3226944 3227630 3292800 3319848 3361400 3387600 3457440 3458175 3541924 3688720 3781575 3794112 3841600 3873156 3952200 4033680 4149810 4215680 4321800 4426464 4427405 4516800 4518682 4609920 4610900 4742640 4840416 4841445 4939200 5042100 5164208 5269600 5312886 5378240 5420160 5533080 5762400 5809734 5901952 5928300 6050520 6198367 6323520 6453888 6455260 6639696 6722800 6775200 6778023 6914880 6916350 7083848 7377440 7563150 7588224 7683200 7746312 7904400 7969329 8067360 8069075 8299620 8643600 8852928 8854810 9033600 9037364 9221800 9485280 9680832 9682890 9878400 10084200 10328416 10374525 10539200 10625772 10756480 11066160 11296705 11524800 11619468 11856600 12101040 12396734 12647040 12910520 13279392 13282215 13445600 13550400 13556046 13829760 13832700 14167696 14524335 14754880 15126300 15492624 15808800 15815387 15938658 16134720 16138150 16599240 17287200 17705856 17709620 18074728 18443600 18595101 18970560 19361664 19365780 20168400 20334069 20656832 20749050 21078400 21251544 22132320 22137025 22593410 23049600 23238936 23713200 24202080 24207225 24793468 25821040 26558784 26564430 26891200 27100800 27112092 27665400 28335392 29048670 29509760 30252600 30985248 30991835 31617600 31630774 31877316 32269440 32276300 33198480 33890115 34574400 35419240 36149456 36887200 37190202 37941120 38731560 39846645 40336800 40668138 41313664 41498100 42503088 43388569 44264640 44274050 45186820 46477872 47426400 47446161 48404160 48414450 49586936 51642080 53117568 53128860 53782400 54224184 55330800 55785303 56483525 56670784 58097340 60505200 61970496 61983670 63235200 63261548 63754632 64552600 66396960 66411075 67780230 69148800 70838480 72298912 72621675 73774400 74380404 77463120 79076935 79693290 80673600 81336276 82996200 85006176 86777138 88529280 88548100 90373640 92955744 92975505 94852800 94892322 96808320 96828900 99173872 101670345 103284160 106257720 108448368 110661600 111570606 112967050 113341568 116194680 121010400 123940992 123967340 126523096 127509264 129105200 130165707 132793920 132822150 135560460 141676960 142338483 144597824 145243350 147548800 148760808 154926240 154959175 158153870 159386580 161347200 162672552 165992400 169450575 170012352 173554276 177096200 180747280 185911488 185951010 189705600 189784644 193657800 198347744 199233225 203340690 206568320 212515440 216896736 216942845 221323200 223141212 225934100 232389360 237230805 242020800 247934680 253046192 255018528 258210400 260331414 265587840 265644300 271120920 278926515 283353920 284676966 289195648 290486700 297521616 303719983 309852480 309918350 316307740 318773160 325345104 331984800 338901150 340024704 347108552 354192400 361494560 371822976 371902020 379569288 387315600 390497121 395384675 396695488 398466450 406681380 425030880 433793472 433885690 442646400 446282424 451868200 464778720 464877525 474461610 484041600 495869360 506092384 508351725 510037056 516420800 520662828 531288600 542241840 557853030 566707840 569353932 580973400 595043232 607439966 619704960 619836700 632615480 637546320 650690208 650828535 663969600 677802300 694217104 708384800 711692415 722989120 743804040 759138576 774631200 780994242 790769350 793390976 796932900 813362760 850061760 867586944 867771380 892564848 903736400 911159949 929557440 929755050 948923220 991738720 1012184768 1016703450 1020074112 1032841600 1041325656 1062577200 1084483680 1084714225 1115706060 1138707864 1161946800 1186154025 1190086464 1214879932 1239673400 1265230960 1275092640 1301380416 1301657070 1327939200 1355604600 1388434208 1394632575 1416769600 1423384830 1445978240 1487608080 1518277152 1518599915 1549262400 1561988484 1581538700 1593865800 1626725520 1700123520 1735542760 1785129696 1807472800 1822319898 1859114880 1859510100 1897846440 1952485605 1983477440 2024369536 2033406900 2082651312 2125154400 2126039881 2168967360 2169428450 2231412120 2277415728 2323893600 2372308050 2380172928 2429759864 2479346800 2530461920 2550185280 2602760832 2603314140 2711209200 2733479847 2776868416 2789265150 2833539200 2846769660 2975216160 3036554304 3037199830 3098524800 3123976968 3163077400 3187731600 3253451040 3254142675 3471085520 3558462075 3570259392 3614945600 3644639796 3719020200 3795692880 3904971210 3966954880 4066813800 4165302624 4250308800 4252079762 4337934720 4338856900 4462824240 4554831456 4555799745 4647787200 4744616100 4859519728 4958693600 5060923840 5100370560 5206628280 5422418400 5466959694 5553736832 5578530300 5693539320 5950432320 6073108608 6074399660 6247953936 6326154800 6375463200 6378119643 6506902080 6508285350 6942171040 7116924150 7140518784 7229891200 7289279592 7438040400 7591385760 7592999575 7809942420 8133627600 8330605248 8500617600 8504159524 8677713800 8925648480 9109662912 9111599490 9295574400 9489232200 9719039456 9762428025 9917387200 10121847680 10413256560 10630199405 10844836800 10933919388 11157060600 11387078640 11900864640 12148799320 12495907872 12652309600 12750926400 12756239286 13013804160 13016570700 13667399235 13884342080 14233848300 14578559184 14876080800 14882279167 15182771520 15185999150 15619884840 16267255200 16661210496 17008319048 17355427600 17851296960 18219325824 18223198980 18978464400 19134358929 19438078912 19524856050 19834774400 20826513120 21260398810 21689673600 21867838776 22314121200 22774157280 22778998725 24297598640 24991815744 25304619200 25501852800 25512478572 26033141400 27334798470 27768684160 28467696600 29157118368 29752161600 29764558334 30365543040 30371998300 31239769680 31890598215 32534510400 34016638096 34710855200 35702593920 36446397960 37956928800 38268717858 38876157824 39049712100 41653026240 42520797620 43735677552 44628242400 44646837501 45548314560 45557997450 48595197280 49983631488 50609238400 51024957144 52066282800 53150997025 54669596940 56935393200 58314236736 59504323200 59529116668 60743996600 62479539360 63781196430 65069020800 68033276192 68336996175 69421710400 72892795920 74411395835 75913857600 76537435716 78099424200 83306052480 85041595240 87471355104 89256484800 89293675002 91096629120 91115994900 95671794645 97190394560 102049914288 104132565600 106301994050 109339193880 113870786400 116628473472 119058233336 121487993200 124959078720 127562392860 133940512503 136066552384 136673992350 138843420800 145785591840 148822791670 151827715200 153074871432 156198848400 159452991075 170083190480 174942710208 178512969600 178587350004 182231989800 191343589290 194380789120 204099828576 208265131200 212603988100 218678387760 223234187505 227741572800 238116466672 242975986400 249918157440 255124785720 267881025006 272133104768 273347984700 291571183680 297645583340 306149742864 312397696800 318905982150 340166380960 349885420416 357174700008 364463979600 372056979175 382687178580 408199657152 416530262400 425207976200 437356775520 446468375010 455483145600 476232933344 478358973225 485951972800 510249571440 535762050012 546695969400 583142367360 595291166680 612299485728 624795393600 637811964300 669702562515 680332761920 714349400016 728927959200 744113958350 765374357160 816399314304 850415952400 874713551040 892936750020 952465866688 956717946450 971903945600 1020499142880 1071524100024 1093391938800 1116170937525 1190582333360 1224598971456 1249590787200 1275623928600 1339405125030 1360665523840 1428698800032 1457855918400 1488227916700 1530748714320 1700831904800 1749427102080 1785873500040 1904931733376 1913435892900 2040998285760 2143048200048 2186783877600 2232341875050 2381164666720 2449197942912 2551247857200 2678810250060 2857397600064 2915711836800 2976455833400 3061497428640 3348512812575 3401663809600 3571747000080 3826871785800 4081996571520 4286096400096 4373567755200 4464683750100 4762329333440 5102495714400 5357620500120 5714795200128 5952911666800 6122994857280 6697025625150 6803327619200 7143494000160 7653743571600 8572192800192 8747135510400 8929367500200 9524658666880 10204991428800 10715241000240 11905823333600 12245989714560 13394051250300 14286988000320 15307487143200 17144385600384 17858735000400 20409982857600 21430482000480 23811646667200 26788102500600 28573976000640 30614974286400 35717470000800 42860964000960 47623293334400 53576205001200 61229948572800 71434940001600 85721928001920 107152410002400 142869880003200 214304820004800 428609640009600
- Sum of all divisors σ(n): 1786156634138760
- Sum of proper divisors (its aliquot sum) s(n): 1357546994129160
- 428609640009600 is an abundant number, because the sum of its proper divisors (1357546994129160) is greater than itself. Its abundance is 928937354119560
Bases of 428609640009600
- Binary: 11000010111010001011101010101011100001111100000002
- Hexadecimal: 0x185D175570F80
- Base-36: 47XGJTAE80
Squares and roots of 428609640009600
- 428609640009600 squared (4286096400096002) is 183706223509158905088092160000
- 428609640009600 cubed (4286096400096003) is 78738258325783714758289274473268084736000000
-
The
square root of 428609640009600 is 20702889.6536111597 -
The
cube root of 428609640009600 is 75396.9847786821
Scales and comparisons
How big is 428609640009600?- 428,609,640,009,600 seconds is equal to 13,628,460 years, 40 weeks, 2 days, 8 hours.
-
To count from 1 to 428,609,640,009,600 would take you about thirty-four million, seventy-one thousand, one hundred fifty-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 428609640009600 cubic inches would be around 6283.1 feet tall.
Recreational maths with 428609640009600
- 428609640009600 backwards is 006900046906824
- The number of decimal digits it has is: 15
- The sum of 428609640009600's digits is 54
- More coming soon!
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"Number 428609640009600 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
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Numbermatics. (2024). Number 428609640009600 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/428609640009600/
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The information we have on file for 428609640009600 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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