480428837353920
480,428,837,353,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 480428837353920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
480428837353920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 480428837353920:
26 × 3 × 5 × 72 × 13 × 101 × 27892
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 101 × 2789 × 2789)See below for interesting mathematical facts about the number 480428837353920 from the Numbermatics database.
Names of 480428837353920
- Cardinal: 480428837353920 can be written as Four hundred eighty trillion, four hundred twenty-eight billion, eight hundred thirty-seven million, three hundred fifty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.8042883735392 × 1014
Factors of 480428837353920
Divisors of 480428837353920
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 49 52 56 60 64 65 70 78 80 84 91 96 98 101 104 105 112 120 130 140 147 156 160 168 182 192 195 196 202 208 210 224 240 245 260 273 280 294 303 312 320 336 364 390 392 404 416 420 448 455 480 490 505 520 546 560 588 606 624 637 672 707 728 735 780 784 808 832 840 910 960 980 1010 1040 1092 1120 1176 1212 1248 1274 1313 1344 1365 1414 1456 1470 1515 1560 1568 1616 1680 1820 1911 1960 2020 2080 2121 2184 2240 2352 2424 2496 2548 2626 2730 2789 2828 2912 2940 3030 3120 3136 3185 3232 3360 3535 3640 3822 3920 3939 4040 4160 4242 4368 4704 4848 4949 5096 5252 5460 5578 5656 5824 5880 6060 6240 6370 6464 6565 6720 7070 7280 7644 7840 7878 8080 8367 8484 8736 9191 9408 9555 9696 9898 10192 10504 10605 10920 11156 11312 11760 12120 12480 12740 13130 13945 14140 14560 14847 15288 15680 15756 16160 16734 16968 17472 18382 19110 19392 19523 19695 19796 20384 21008 21210 21840 22312 22624 23520 24240 24745 25480 26260 27573 27890 28280 29120 29694 30576 31512 32320 33468 33936 36257 36764 38220 39046 39390 39592 40768 41835 42016 42420 43680 44624 45248 45955 47040 48480 49490 50960 52520 55146 55780 56560 58569 59388 61152 63024 64337 66936 67872 72514 73528 74235 76440 78092 78780 79184 83670 84032 84840 87360 89248 91910 96960 97615 98980 101920 105040 108771 110292 111560 113120 117138 118776 122304 126048 128674 133872 135744 136661 137865 145028 147056 148470 152880 156184 157560 158368 167340 169680 178496 181285 183820 193011 195230 197960 203840 210080 217542 220584 223120 226240 234276 237552 252096 253799 257348 267744 273322 275730 281689 290056 292845 294112 296940 305760 312368 315120 316736 321685 334680 339360 362570 367640 386022 390460 395920 409983 420160 435084 441168 446240 468552 475104 507598 514696 535488 543855 546644 551460 563378 580112 585690 588224 593880 611520 624736 630240 643370 669360 678720 683305 725140 735280 761397 772044 780920 791840 819966 845067 870168 882336 892480 937104 950208 965055 1015196 1029392 1087710 1093288 1102920 1126756 1160224 1171380 1187760 1249472 1260480 1268995 1286740 1338720 1366610 1408445 1450280 1470560 1522794 1544088 1561840 1583680 1639932 1690134 1740336 1764672 1776593 1874208 1930110 1971823 2030392 2049915 2058784 2175420 2186576 2205840 2253512 2320448 2342760 2375520 2537990 2573480 2677440 2733220 2816890 2900560 2941120 3045588 3088176 3123680 3279864 3380268 3480672 3553186 3661957 3748416 3806985 3860220 3943646 4060784 4099830 4117568 4225335 4350840 4373152 4411680 4507024 4685520 4751040 5075980 5146960 5329779 5466440 5633780 5801120 5915469 6091176 6176352 6247360 6559728 6760536 6961344 7106372 7323914 7613970 7720440 7778521 7887292 8121568 8199660 8450670 8701680 8746304 8823360 8882965 9014048 9371040 9859115 10151960 10293920 10659558 10932880 10985871 11267560 11602240 11830938 12182352 12352704 13119456 13521072 13802761 14212744 14647828 15227940 15440880 15557042 15774584 16243136 16399320 16901340 17403360 17765930 18028096 18309785 18742080 19718230 20303920 20587840 21319116 21865760 21971742 22535120 23335563 23661876 24364704 25633699 26238912 26648895 27042144 27605522 28425488 29295656 29577345 30455880 30881760 31114084 31549168 32798640 33802680 34806720 35531860 36619570 38892605 39436460 40607840 41408283 42638232 43731520 43943484 45070240 46671126 47323752 48729408 51267398 53297790 54084288 54449647 54929355 55211044 56850976 58591312 59154690 60911760 61763520 62228168 63098336 65597280 67605360 69013805 71063720 73239140 76901097 77785210 78872920 81215680 82816566 85276464 87886968 90140480 93342252 94647504 101120773 102534796 106595580 108899294 109858710 110422088 113701952 116677815 117182624 118309380 121823520 124456336 126196672 128168495 131194560 135210720 138027610 142127440 146478280 153802194 155570420 157745840 163348941 165633132 170552928 175773936 179435893 186684504 189295008 202241546 205069592 207041415 213191160 217798588 219717420 220844176 233355630 234365248 236618760 243647040 248912672 256336990 270421440 272248235 276055220 284254880 292956560 303362319 307604388 311140840 315491680 326697882 331266264 341105856 351547872 358871786 373369008 378590016 381147529 384505485 404483092 410139184 414082830 426382320 435597176 439434840 441688352 466711260 473237520 497825344 505603865 512673980 538307679 544496470 552110440 568509760 585913120 606724638 615208776 622281680 630983360 653395764 662532528 703095744 707845411 717743572 746738016 762295058 769010970 785630621 808966184 816744705 820278368 828165660 852764640 871194352 878869680 883376704 897179465 933422520 946475040 1011207730 1025347960 1076615358 1088992940 1104220880 1143442587 1171826240 1213449276 1230417552 1244563360 1306791528 1325065056 1415690822 1435487144 1493476032 1516811595 1524590116 1538021940 1571261242 1617932368 1633489410 1640556736 1656331320 1705529280 1742388704 1757739360 1794358930 1866845040 1892950080 1905737645 2022415460 2050695920 2123536233 2153230716 2177985880 2208441760 2286885174 2356891863 2426898552 2460835104 2489126720 2613583056 2650130112 2691538395 2831381644 2870974288 3033623190 3049180232 3076043880 3142522484 3235864736 3266978820 3312662640 3484777408 3515478720 3539227055 3588717860 3733690080 3811475290 3928153105 4044830920 4101391840 4247072466 4306461432 4355971760 4416883520 4573770348 4713783726 4853797104 4921670208 4954917877 5227166112 5383076790 5499414347 5662763288 5717212935 5741948576 6067246380 6098360464 6152087760 6285044968 6471729472 6533957640 6625325280 7078454110 7177435720 7467380160 7622950580 7856306210 8089661840 8202783680 8494144932 8612922864 8711943520 9147540696 9427567452 9707594208 9909835754 10213198073 10454332224 10617681165 10766153580 10998828694 11325526576 11434425870 11483897152 11784459315 12134492760 12196720928 12304175520 12570089936 13067915280 13250650560 14156908220 14354871440 14864753631 15245901160 15712612420 16179323680 16498243041 16988289864 17225845728 17423887040 18295081392 18855134904 19415188416 19819671508 20426396146 21235362330 21532307160 21997657388 22651053152 22868851740 23568918630 24268985520 24393441856 24608351040 24774589385 25140179872 26135830560 27497071735 28313816440 28709742880 29729507262 30491802320 30639594219 31425224840 32358647360 32996486082 33976579728 34451691456 36590162784 37710269808 38495900429 39639343016 40852792292 42470724660 43064614320 43995314776 45302106304 45737703480 47137837260 48537971040 49549178770 50280359744 51065990365 52271661120 54994143470 56627632880 57419485760 59459014524 60983604640 61279188438 62850449680 65992972164 67953159456 71492386511 73180325568 74323768155 75420539616 76991800858 79278686032 81705584584 82491215205 84941449320 86129228640 87990629552 91475406960 94275674520 97075942080 99098357540 102131980730 109988286940 113255265760 115487701287 118918029048 121967209280 122558376876 125700899360 131985944328 135906318912 142984773022 148647536310 150841079232 153197971095 153983601716 158557372064 163411169168 164982430410 169882898640 172258457280 175981259104 182950813920 188551349040 192479502145 198196715080 204263961460 214477159533 219976573880 226510531520 230975402574 237836058096 245116753752 251401798720 263971888656 285969546044 297295072620 306395942190 307967203432 317114744128 326822338336 329964860820 339765797280 351962518208 357461932555 365901627840 377102698080 384959004290 396393430160 408527922920 428954319066 439953147760 461950805148 475672116192 490233507504 500446705577 527943777312 571939092088 577438506435 594590145240 612791884380 615934406864 653644676672 659929721640 679531594560 714923865110 754205396160 769918008580 792786860320 817055845840 857908638132 879906295520 923901610296 951344232384 980467015008 1000893411154 1055887554624 1072385797665 1143878184176 1154877012870 1189180290480 1225583768760 1231868813728 1319859443280 1429847730220 1501340116731 1539836017160 1585573720640 1634111691680 1715817276264 1759812591040 1847803220592 1960934030016 2001786822308 2144771595330 2287756368352 2309754025740 2378360580960 2451167537520 2463737627456 2502233527885 2639718886560 2859695460440 3002680233462 3079672034320 3268223383360 3431634552528 3695606441184 4003573644616 4289543190660 4575512736704 4619508051480 4756721161920 4902335075040 5004467055770 5279437773120 5719390920880 6005360466924 6159344068640 6863269105056 7391212882368 7506700583655 8007147289232 8579086381320 9239016102960 9804670150080 10008934111540 11438781841760 12010720933848 12318688137280 13726538210112 15013401167310 16014294578464 17158172762640 18478032205920 20017868223080 22877563683520 24021441867696 30026802334620 32028589156928 34316345525280 36956064411840 40035736446160 48042883735392 60053604669240 68632691050560 80071472892320 96085767470784 120107209338480 160142945784640 240214418676960 480428837353920
- Sum of all divisors σ(n): 1930504414795488
- Sum of proper divisors (its aliquot sum) s(n): 1450075577441568
- 480428837353920 is an abundant number, because the sum of its proper divisors (1450075577441568) is greater than itself. Its abundance is 969646740087648
Bases of 480428837353920
- Binary: 11011010011110010100011100011000010111001110000002
- Hexadecimal: 0x1B4F28E30B9C0
- Base-36: 4QAPYLGEDC
Squares and roots of 480428837353920
- 480428837353920 squared (4804288373539202) is 230811867761239317107339366400
- 480428837353920 cubed (4804288373539203) is 110888677276018935034611075074498425356288000
-
The
square root of 480428837353920 is 21918686.9441104977 -
The
cube root of 480428837353920 is 78320.6631256405
Scales and comparisons
How big is 480428837353920?- 480,428,837,353,920 seconds is equal to 15,276,150 years, 50 weeks, 20 hours, 32 minutes.
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To count from 1 to 480,428,837,353,920 would take you about thirty-eight million, one hundred ninety thousand, three hundred seventy-seven 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 480428837353920 cubic inches would be around 6526.7 feet tall.
Recreational maths with 480428837353920
- 480428837353920 backwards is 029353738824084
- The number of decimal digits it has is: 15
- The sum of 480428837353920's digits is 66
- More coming soon!
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Numbermatics. (2024). Number 480428837353920 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/480428837353920/
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The information we have on file for 480428837353920 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!
Keywords: Divisors of 480428837353920, math, Factors of 480428837353920, curriculum, school, college, exams, university, Prime factorization of 480428837353920, STEM, science, technology, engineering, physics, economics, calculator, four hundred eighty trillion, four hundred twenty-eight billion, eight hundred thirty-seven million, three hundred fifty-three thousand, nine hundred twenty.