428527906013120
428,527,906,013,120 is an even composite number composed of eight prime numbers multiplied together.
428527906013120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 428527906013120:
26 × 5 × 19 × 29 × 59 × 199 × 317 × 653
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 19 × 29 × 59 × 199 × 317 × 653)See below for interesting mathematical facts about the number 428527906013120 from the Numbermatics database.
Names of 428527906013120
- Cardinal: 428527906013120 can be written as Four hundred twenty-eight trillion, five hundred twenty-seven billion, nine hundred six million, thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.2852790601312 × 1014
Factors of 428527906013120
Divisors of 428527906013120
- Number of divisors d(n): 896
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 29 32 38 40 58 59 64 76 80 95 116 118 145 152 160 190 199 232 236 290 295 304 317 320 380 398 464 472 551 580 590 608 634 653 760 796 928 944 995 1102 1121 1160 1180 1216 1268 1306 1520 1585 1592 1711 1856 1888 1990 2204 2242 2320 2360 2536 2612 2755 3040 3170 3184 3265 3422 3776 3781 3980 4408 4484 4640 4720 5072 5224 5510 5605 5771 6023 6080 6340 6368 6530 6844 7562 7960 8555 8816 8968 9193 9280 9440 10144 10448 11020 11210 11542 11741 12046 12407 12680 12736 13060 13688 15124 15920 17110 17632 17936 18386 18703 18880 18905 18937 20288 20896 22040 22420 23084 23482 24092 24814 25360 26120 27376 28855 30115 30248 31840 32509 34220 35264 35872 36772 37406 37810 37874 38527 41792 44080 44840 45965 46168 46964 48184 49628 50720 52240 54752 57710 58705 60230 60496 62035 63083 63680 65018 68440 71744 73544 74812 75620 75748 77054 88160 89680 91930 92336 93515 93928 94685 96368 99256 101440 104480 109504 109649 115420 117410 120460 120992 124070 126166 129947 130036 136880 147088 149624 151240 151496 154108 162545 174667 176320 179360 183860 184672 187030 187856 189370 192635 192736 198512 207001 208960 219298 223079 230840 234820 240920 241984 248140 252332 259894 260072 273760 294176 299248 302480 302992 308216 315415 325090 340489 349334 355357 358720 359803 367720 369344 374060 375712 378740 385270 385472 397024 414002 438596 446158 461680 469640 481840 496280 504664 519788 520144 542387 547520 548245 588352 598496 604960 605984 616432 630830 649735 650180 680978 698668 710714 719606 732013 735440 748120 751424 757480 770540 794048 828004 873335 877192 892316 923360 939280 963680 992560 1009328 1035005 1039576 1040288 1084774 1096490 1115395 1117283 1196992 1198577 1209920 1211968 1232864 1261660 1299470 1300360 1361956 1397336 1421428 1439212 1464026 1470880 1496240 1514960 1541080 1656008 1702445 1746670 1754384 1776785 1784632 1799015 1829407 1846720 1878560 1927360 1985120 2018656 2070010 2079152 2080576 2169548 2192980 2230790 2234566 2397154 2465728 2468993 2523320 2598940 2600720 2711935 2723912 2794672 2842856 2878424 2928052 2941760 2992480 3029920 3082160 3312016 3404890 3493340 3508768 3553570 3569264 3598030 3658814 3660065 3721897 3757120 3768463 3933019 3970240 4037312 4140020 4158304 4339096 4385960 4461580 4469132 4794308 4937986 5046640 5197880 5201440 5423870 5447824 5586415 5589344 5685712 5756848 5856104 5984960 5992885 6003029 6059840 6164320 6469291 6624032 6809780 6986680 7017536 7107140 7138528 7196060 7317628 7320130 7443794 7536926 7666873 7866038 8280040 8316608 8678192 8771920 8923160 8938264 9147035 9588616 9875972 10093280 10305353 10395760 10402880 10847740 10895648 11172830 11178688 11371424 11513696 11712208 11985770 12006058 12213059 12328640 12344965 12938582 13248064 13619560 13973360 14214280 14277056 14392120 14635256 14640260 14887588 15073852 15333746 15732076 16560080 17356384 17543840 17846320 17876528 18294070 18609485 18842315 19177232 19665095 19751944 20186560 20610706 20791520 21228377 21695480 21791296 22345660 22742848 23027392 23424416 23971540 24012116 24426118 24689930 25877164 27239120 27946720 28428560 28784240 29270512 29280520 29775176 30015145 30147704 30667492 31464152 32346455 33120160 34712768 34758733 35087680 35692640 35753056 36588140 37218970 37684630 38334365 38354464 39330190 39503888 41193199 41221412 41583040 42456754 43390960 44691320 46848832 47943080 48024232 48852236 49379860 51526765 51754328 54478240 55893440 56857120 57568480 58541024 58561040 59550352 60030290 60295408 61065295 61334984 62928304 64692910 66240320 69517466 70716043 71385280 71506112 71600797 73176280 74437940 75369260 76668730 76708928 78660380 79007776 82386398 82442824 84913508 86781920 89382640 95886160 96048464 97704472 98759720 103053530 103508656 106141885 107935013 108956480 113714240 114057551 115136960 117082048 117122080 119100704 120060580 120590816 122130590 122669968 125856608 129385820 139034932 141432086 143201594 145670587 146352560 148875880 150738520 153337460 157320760 158015552 164772796 164885648 169827016 173563840 173793665 178765280 191772320 192096928 195408944 197519440 205965995 206107060 207017312 212283770 215870026 222339317 228115102 232048121 234244160 238201408 240121160 241181632 244261180 245339936 251713216 258771640 278069864 282864172 286403188 291341174 292705120 297751760 301477040 306674920 314641520 329545592 329771296 339654032 347587330 353580215 354178711 357530560 358003985 383544640 384193856 390817888 395038880 411931990 412214120 414034624 424567540 431740052 444678634 456230204 464096242 480242320 488522360 490679872 517543280 539675065 556139728 565728344 570287755 572806376 582682348 585410240 595503520 602954080 613349840 629283040 659091184 659542592 679308064 695174660 707160430 708357422 716007970 728352935 781635776 782670781 790077760 823863980 824428240 849135080 863480104 889357268 912460408 928192484 960484640 977044720 1035086560 1079350130 1111696585 1112279456 1131456688 1140575510 1145612752 1160240605 1165364696 1191007040 1194602771 1205908160 1226699680 1258566080 1318182368 1358616128 1390349320 1414320860 1416714844 1432015940 1456705870 1565341562 1647727960 1648856480 1698270160 1726960208 1770893555 1778714536 1824920816 1856384968 1920969280 1954089440 2050765247 2070173120 2158700260 2223393170 2224558912 2262913376 2281151020 2291225504 2320481210 2330729392 2389205542 2430398741 2453399360 2636364736 2780698640 2828641720 2833429688 2864031880 2913411740 3130683124 3295455920 3297712960 3396540320 3453920416 3541787110 3557429072 3649841632 3712769936 3908178880 3913353905 4101530494 4224447023 4317400520 4446786340 4525826752 4562302040 4582451008 4640962420 4661458784 4778411084 4860797482 5561397280 5657283440 5666859376 5728063760 5826823480 5973013855 6261366248 6590911840 6729395509 6793080640 6907840832 7083574220 7114858144 7299683264 7425539872 7826707810 8203060988 8448894046 8634801040 8893572680 9124604080 9281924840 9322917568 9556822168 9721594964 10253826235 11122794560 11314566880 11333718752 11456127520 11653646960 11946027710 12151993705 12522732496 13181823680 13458791018 14167148440 14229716288 14851079744 15653415620 16406121976 16897788092 17269602080 17787145360 18249208160 18563849680 19113644336 19443189928 20507652470 21122235115 22629133760 22667437504 22697452649 22912255040 23307293920 23892055420 24303987410 25045464992 26917582036 28334296880 31306831240 32812243952 33646977545 33795576184 34539204160 35574290720 36498416320 37127699360 38227288672 38886379856 41015304940 42244470230 45394905298 46177576079 46614587840 47784110840 48607974820 50090929984 53835164072 56668593760 62613662480 65624487904 67293955090 67591152368 70481563489 71148581440 74255398720 76454577344 77772759712 82030609880 84488940460 90789810596 92355152158 95568221680 97215949640 107670328144 113337187520 113487263245 125227324960 131248975808 134587910180 135182304736 140963126978 155545519424 164061219760 168977880920 181579621192 184710304316 191136443360 194431899280 215340656288 226974526490 230887880395 250454649920 269175820360 270364609472 281926253956 328122439520 337955761840 352407817445 363159242384 369420608632 382272886720 388863798560 430681312576 453949052980 461775760790 538351640720 563852507912 656244879040 675911523680 704815634890 726318484768 738841217264 777727597120 907898105960 923551521580 1076703281440 1127705015824 1339149706291 1351823047360 1409631269780 1452636969536 1477682434528 1815796211920 1847103043160 2153406562880 2255410031648 2678299412582 2819262539560 2955364869056 3631592423840 3694206086320 4510820063296 5356598825164 5638525079120 6695748531455 7263184847680 7388412172640 10713197650328 11277050158240 13391497062910 14776824345280 21426395300656 22554100316480 26782994125820 42852790601312 53565988251640 85705581202624 107131976503280 214263953006560 428527906013120
- Sum of all divisors σ(n): 1141017580800000
- Sum of proper divisors (its aliquot sum) s(n): 712489674786880
- 428527906013120 is an abundant number, because the sum of its proper divisors (712489674786880) is greater than itself. Its abundance is 283961768773760
Bases of 428527906013120
- Binary: 11000010110111110011011011001110100111111110000002
- Hexadecimal: 0x185BE6D9D3FC0
- Base-36: 47WF02Z6WW
Squares and roots of 428527906013120
- 428527906013120 squared (4285279060131202) is 183636166231989408253612134400
- 428527906013120 cubed (4285279060131203) is 78693221783671637834063225926909957603328000
-
The
square root of 428527906013120 is 20700915.5839329967 -
The
cube root of 428527906013120 is 75392.1918481807
Scales and comparisons
How big is 428527906013120?- 428,527,906,013,120 seconds is equal to 13,625,861 years, 46 weeks, 1 day, 5 minutes, 20 seconds.
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To count from 1 to 428,527,906,013,120 would take you about thirty-four million, sixty-four thousand, six hundred fifty-four 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 428527906013120 cubic inches would be around 6282.7 feet tall.
Recreational maths with 428527906013120
- 428527906013120 backwards is 021310609725824
- The number of decimal digits it has is: 15
- The sum of 428527906013120's digits is 50
- More coming soon!
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"Number 428527906013120 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 428527906013120 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/428527906013120/
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The information we have on file for 428527906013120 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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