428680792485120
428,680,792,485,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428680792485120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
428680792485120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 428680792485120:
28 × 3 × 5 × 7 × 23 × 67 × 32172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 23 × 67 × 3217 × 3217)See below for interesting mathematical facts about the number 428680792485120 from the Numbermatics database.
Names of 428680792485120
- Cardinal: 428680792485120 can be written as Four hundred twenty-eight trillion, six hundred eighty billion, seven hundred ninety-two million, four hundred eighty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.2868079248512 × 1014
Factors of 428680792485120
Divisors of 428680792485120
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 32 35 40 42 46 48 56 60 64 67 69 70 80 84 92 96 105 112 115 120 128 134 138 140 160 161 168 184 192 201 210 224 230 240 256 268 276 280 320 322 335 336 345 368 384 402 420 448 460 469 480 483 536 552 560 640 644 670 672 690 736 768 804 805 840 896 920 938 960 966 1005 1072 1104 1120 1280 1288 1340 1344 1380 1407 1472 1541 1608 1610 1680 1792 1840 1876 1920 1932 2010 2144 2208 2240 2345 2415 2576 2680 2688 2760 2814 2944 3082 3216 3217 3220 3360 3680 3752 3840 3864 4020 4288 4416 4480 4623 4690 4830 5152 5360 5376 5520 5628 5888 6164 6432 6434 6440 6720 7035 7360 7504 7705 7728 8040 8576 8832 8960 9246 9380 9651 9660 10304 10720 10787 11040 11256 12328 12864 12868 12880 13440 14070 14720 15008 15410 15456 16080 16085 17152 17664 18492 18760 19302 19320 20608 21440 21574 22080 22512 22519 23115 24656 25728 25736 25760 26880 28140 29440 30016 30820 30912 32160 32170 32361 36984 37520 38604 38640 41216 42880 43148 44160 45024 45038 46230 48255 49312 51456 51472 51520 53935 56280 60032 61640 61824 64320 64340 64722 67557 73968 73991 75040 77208 77280 85760 86296 88320 90048 90076 92460 96510 98624 102944 103040 107870 112560 112595 120064 123280 123648 128640 128680 129444 135114 147936 147982 150080 154416 154560 161805 172592 180096 180152 184920 193020 197248 205888 206080 215539 215740 221973 225120 225190 246560 257280 257360 258888 270228 295872 295964 300160 308832 309120 323610 337785 345184 360192 360304 369840 369955 386040 394496 411776 431078 431480 443946 450240 450380 493120 514720 517776 517937 540456 591744 591928 600320 617664 618240 646617 647220 675570 690368 720608 739680 739910 772080 823552 862156 862960 887892 900480 900760 986240 1029440 1035552 1035874 1077695 1080912 1109865 1183488 1183856 1235328 1293234 1294440 1351140 1380736 1441216 1479360 1479820 1508773 1544160 1553811 1724312 1725920 1775784 1800960 1801520 1972480 2058880 2071104 2071748 2155390 2161824 2219730 2367712 2470656 2586468 2588880 2589685 2702280 2761472 2882432 2958720 2959640 3017546 3088320 3107622 3233085 3448624 3451840 3551568 3603040 4117760 4142208 4143496 4310780 4323648 4439460 4526319 4735424 4957397 5172936 5177760 5179370 5404560 5764864 5917440 5919280 6035092 6176640 6215244 6466170 6897248 6903680 7103136 7206080 7543865 7769055 8284416 8286992 8621560 8647296 8878920 9052638 9470848 9914794 10345872 10349089 10355520 10358740 10809120 11838560 12070184 12353280 12430488 12932340 13794496 13807360 14206272 14412160 14872191 15087730 15538110 16573984 17243120 17294592 17757840 18105276 18941696 19829588 20691744 20698178 20711040 20717480 21618240 22631595 23677120 24140368 24786985 24860976 25864680 27588992 28412544 28824320 29744382 30175460 31047267 31076220 33147968 34486240 34701779 35515680 36210552 39659176 41383488 41396356 41422080 41434960 43236480 45263190 47354240 48280736 49573970 49721952 51729360 51745445 55177984 56825088 59488764 60350920 62094534 62152440 66295936 68972480 69403558 71031360 72421104 72443623 74360955 79318352 82766976 82792712 82869920 86472960 90526380 94708480 96561472 99147940 99443904 103458720 103490890 104105337 118977528 120701840 124189068 124304880 132591872 137944960 138807116 142062720 144842208 144887246 148721910 155236335 158636704 165533952 165585424 165739840 173508895 181052760 193122944 198295880 198887808 206917440 206981780 208210674 217330869 237955056 238029047 241403680 248378136 248609760 275889920 277614232 284125440 289684416 289774492 297443820 310472670 317273408 331170848 331479680 347017790 362105520 362218115 386245888 396591760 397775616 413834880 413963560 416421348 434661738 475910112 476058094 482807360 496756272 497219520 520526685 555228464 579368832 579548984 594887640 620945340 634546816 662341696 662959360 693388963 694035580 714087141 724211040 724436230 793183520 827669760 827927120 832842696 869323476 951820224 952116188 965614720 993512544 994439040 1041053370 1086654345 1110456928 1158737664 1159097968 1189775280 1190145235 1241890680 1269093632 1324683392 1386777926 1388071160 1428174282 1448422080 1448872460 1586367040 1655854240 1665685392 1666203329 1738646952 1903640448 1904232376 1931229440 1987025088 1988878080 2080166889 2082106740 2173308690 2220913856 2318195936 2379550560 2380290470 2483781360 2649366784 2773555852 2776142320 2856348564 2896844160 2897744920 3172734080 3311708480 3331370784 3332406658 3466944815 3477293904 3570435705 3807280896 3808464752 3974050176 4160333778 4164213480 4346617380 4441827712 4636391872 4759101120 4760580940 4853722741 4967562720 4998609987 5547111704 5552284640 5712697128 5793688320 5795489840 6345468160 6623416960 6662741568 6664813316 6933889630 6954587808 7140871410 7616929504 7948100352 8320667556 8328426960 8331016645 8693234760 8883655424 9272783744 9518202240 9521161880 9707445482 9935125440 9997219974 10400834445 11094223408 11104569280 11425394256 11590979680 13246833920 13325483136 13329626632 13867779260 13909175616 14281742820 14561168223 15233859008 15947946149 16641335112 16656853920 16662033290 17386469520 18545567488 19036404480 19042323760 19414890964 19870250880 19994439948 20801668890 22188446816 22209138560 22850788512 23181959360 24268613705 24993049935 26650966272 26659253264 27735558520 27818351232 28563485640 29122336446 30467718016 31895892298 33282670224 33313707840 33324066580 34772939040 38084647520 38829781928 39740501760 39988879896 41603337780 44376893632 44418277120 45701577024 46363918720 47843838447 48537227410 49986099870 53318506528 55471117040 55636702464 57126971280 58244672892 60935436032 63791784596 66565340448 66627415680 66648133160 69545878080 72805841115 76169295040 77659563856 79739730745 79977759792 83206675560 88753787264 91403154048 92727837440 95687676894 97074454820 99972199740 106637013056 110942234080 111635623043 114253942560 116489345784 127583569192 133130680896 133254831360 133296266320 139091756160 145611682230 152338590080 155319127712 159479461490 159955519584 166413351120 177507574528 182806308096 191375353788 194148909640 199944399480 213274026112 221884468160 223271246086 228507885120 232978691568 239219192235 255167138384 266261361792 266592532640 278183512320 291223364460 304677180160 310638255424 318958922980 319911039168 332826702240 334906869129 382750707576 388297819280 399888798960 426548052224 443768936320 446542492172 457015770240 465957383136 478438384470 510334276768 532522723584 533185065280 558178115215 582446728920 621276510848 637917845960 639822078336 665653404480 669813738258 765501415152 776595638560 799777597920 887537872640 893084984344 914031540480 931914766272 956876768940 1020668553536 1066370130560 1116356230430 1164893457840 1242553021696 1275835691920 1279644156672 1331306808960 1339627476516 1531002830304 1553191277120 1599555195840 1674534345645 1786169968688 1863829532544 1913753537880 2041337107072 2132740261120 2232712460860 2329786915680 2551671383840 2662613617920 2679254953032 3062005660608 3106382554240 3199110391680 3349068691290 3572339937376 3727659065088 3827507075760 4082674214144 4465424921720 4659573831360 5103342767680 5358509906064 6124011321216 6212765108480 6398220783360 6698137382580 7144679874752 7655014151520 8930849843440 9319147662720 10206685535360 10717019812128 12248022642432 13396274765160 14289359749504 15310028303040 17861699686880 18638295325440 20413371070720 21434039624256 26792549530320 28578719499008 30620056606080 35723399373760 42868079248512 53585099060640 61240113212160 71446798747520 85736158497024 107170198121280 142893597495040 214340396242560 428680792485120
- Sum of all divisors σ(n): 1657598808434688
- Sum of proper divisors (its aliquot sum) s(n): 1228918015949568
- 428680792485120 is an abundant number, because the sum of its proper divisors (1228918015949568) is greater than itself. Its abundance is 800237223464448
Bases of 428680792485120
- Binary: 11000010111100010000001100101101110101101000000002
- Hexadecimal: 0x185E2065BAD00
- Base-36: 47YD8JMVPC
Squares and roots of 428680792485120
- 428680792485120 squared (4286807924851202) is 183767221845670515865421414400
- 428680792485120 cubed (4286807924851203) is 78777478293590893174009097995385441353728000
-
The
square root of 428680792485120 is 20704608.0012426219 -
The
cube root of 428680792485120 is 75401.1567063765
Scales and comparisons
How big is 428680792485120?- 428,680,792,485,120 seconds is equal to 13,630,723 years, 10 weeks, 4 days, 8 hours, 32 minutes.
-
To count from 1 to 428,680,792,485,120 would take you about thirty-four million, seventy-six thousand, eight hundred eight 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 428680792485120 cubic inches would be around 6283.4 feet tall.
Recreational maths with 428680792485120
- 428680792485120 backwards is 021584297086824
- The number of decimal digits it has is: 15
- The sum of 428680792485120's digits is 66
- More coming soon!
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The information we have on file for 428680792485120 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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