428026135680
428,026,135,680 is an even composite number composed of seven prime numbers multiplied together.
428026135680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 428026135680:
27 × 34 × 5 × 112 × 13 × 29 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 13 × 29 × 181)See below for interesting mathematical facts about the number 428026135680 from the Numbermatics database.
Names of 428026135680
- Cardinal: 428026135680 can be written as Four hundred twenty-eight billion, twenty-six million, one hundred thirty-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.2802613568 × 1011
Factors of 428026135680
Divisors of 428026135680
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 29 30 32 33 36 39 40 44 45 48 52 54 55 58 60 64 65 66 72 78 80 81 87 88 90 96 99 104 108 110 116 117 120 121 128 130 132 135 143 144 145 156 160 162 165 174 176 180 181 192 195 198 208 216 220 232 234 240 242 260 261 264 270 286 288 290 297 312 319 320 324 330 348 351 352 360 362 363 377 384 390 396 405 416 429 432 435 440 464 468 480 484 495 520 522 528 540 543 572 576 580 585 594 605 624 638 640 648 660 696 702 704 715 720 724 726 754 780 783 792 810 832 858 864 870 880 891 905 928 936 957 960 968 990 1040 1044 1053 1056 1080 1086 1089 1131 1144 1152 1160 1170 1188 1210 1248 1276 1287 1296 1305 1320 1392 1404 1408 1430 1440 1448 1452 1485 1508 1560 1566 1573 1584 1595 1620 1629 1664 1716 1728 1740 1755 1760 1782 1810 1815 1856 1872 1885 1914 1920 1936 1980 1991 2080 2088 2106 2112 2145 2160 2172 2178 2262 2288 2320 2340 2349 2353 2376 2420 2496 2552 2574 2592 2610 2640 2715 2784 2808 2860 2871 2880 2896 2904 2970 3016 3120 3132 3146 3168 3190 3240 3258 3267 3393 3432 3456 3480 3509 3510 3520 3564 3620 3630 3712 3744 3770 3828 3861 3872 3915 3960 3982 4147 4160 4176 4212 4224 4290 4320 4344 4356 4455 4524 4576 4640 4680 4698 4706 4719 4752 4785 4840 4887 4992 5104 5148 5184 5220 5249 5265 5280 5430 5445 5568 5616 5655 5720 5742 5760 5792 5808 5940 5973 6032 6240 6264 6292 6336 6380 6435 6480 6516 6534 6786 6864 6960 7018 7020 7040 7059 7128 7240 7260 7488 7540 7656 7722 7744 7830 7865 7920 7964 8145 8294 8320 8352 8424 8580 8613 8640 8688 8712 8910 9048 9152 9280 9360 9396 9412 9438 9504 9570 9680 9774 9801 9955 10179 10208 10296 10368 10440 10498 10527 10530 10560 10860 10890 11136 11232 11310 11440 11484 11583 11584 11616 11745 11765 11880 11946 12064 12441 12480 12528 12584 12672 12760 12870 12960 13032 13068 13572 13728 13920 14036 14040 14118 14157 14256 14355 14480 14520 14661 14976 15080 15312 15444 15488 15660 15730 15747 15840 15928 16290 16335 16588 16704 16848 16965 17160 17226 17280 17376 17424 17545 17820 17919 18096 18304 18560 18720 18792 18824 18876 19008 19140 19305 19360 19548 19602 19910 20358 20416 20592 20735 20880 20996 21054 21060 21120 21177 21720 21780 21901 22464 22620 22880 22968 23166 23168 23232 23490 23530 23595 23760 23892 24128 24435 24882 24960 25056 25168 25520 25740 25839 25883 25920 26064 26136 26245 27144 27456 27840 28072 28080 28236 28314 28512 28710 28960 29040 29322 29865 30160 30537 30624 30888 31320 31460 31494 31581 31680 31856 32580 32670 33176 33408 33696 33930 34320 34452 34752 34848 35090 35295 35640 35838 36192 37323 37440 37584 37648 37752 38016 38280 38610 38720 39096 39204 39820 40716 40832 41184 41470 41760 41992 42108 42120 42354 42471 43065 43440 43560 43802 44928 45240 45617 45760 45936 46332 46464 46980 47060 47190 47241 47520 47784 48256 48870 49005 49764 50112 50336 50895 51040 51480 51678 51766 51840 52128 52272 52490 52635 53757 54288 54912 55680 56144 56160 56472 56628 57024 57420 57739 57915 57920 58080 58644 59730 60320 61074 61248 61776 62205 62640 62920 62988 63162 63360 63531 63712 65160 65340 65703 66352 67392 67860 68237 68640 68904 69504 69696 70180 70590 70785 71280 71676 72384 73305 74646 74880 75168 75296 75504 76560 77220 77440 77649 78192 78408 78735 79640 81432 82368 82940 83520 83984 84216 84240 84708 84942 86130 86880 87120 87604 89595 90480 91234 91520 91872 92664 93960 94120 94380 94482 94743 95040 95568 97740 98010 99528 100224 100672 101790 102080 102960 103356 103532 104256 104544 104980 105270 105885 107514 108576 109505 111969 112288 112320 112944 113256 114048 114840 115478 115830 115840 116160 117288 119460 120640 122148 122496 123552 124410 125280 125840 125976 126324 127062 127413 127424 129195 129415 130320 130680 131406 132704 134784 135720 136474 136851 137280 137808 139392 140360 141180 141570 141723 142560 143352 144768 146610 149292 150336 150592 151008 152685 153120 154440 155298 156384 156816 157470 157905 159280 161271 162864 164736 165880 167040 167968 168432 168480 169416 169884 172260 173217 173760 174240 175208 179190 180960 182468 183744 185328 186615 187920 188240 188760 188964 189486 190080 190593 191136 195480 196020 197109 199056 201344 203580 204160 204711 205920 206712 207064 208512 209088 209960 210540 211770 212355 215028 217152 219010 223938 224576 224640 225888 226512 228085 229680 230956 231660 232320 232947 234576 236205 238920 241280 244296 247104 248820 250560 251680 251952 252648 254124 254826 254848 258390 258830 260640 261360 262812 265408 268785 271440 272948 273702 274560 275616 280720 282360 283140 283446 284229 284713 285120 286704 288695 293220 298584 300672 301184 302016 305370 306240 308880 310596 312768 313632 314940 315810 317655 318560 322542 325728 328515 331760 335907 335936 336864 336960 338832 339768 341185 344520 346434 347520 348480 350416 358380 361920 364936 367488 370656 373230 375840 376480 377520 377928 378972 381186 382272 388245 390960 392040 394218 398112 407160 409422 410553 411840 413424 414128 418176 419920 421080 423540 424710 425169 430056 434304 438020 447876 449152 451776 453024 456170 459360 461912 463320 465894 469152 472410 473715 477840 488592 494208 497640 501120 503360 503904 505296 508248 509652 516780 517660 519651 521280 522720 525624 530816 537570 542880 545896 547404 551232 559845 561440 564720 566280 566892 568458 569426 570240 573408 577390 586440 591327 597168 604032 610740 612480 614133 617760 621192 625536 627264 629880 631620 635129 635310 637065 637120 645084 651456 657030 663520 671814 671872 673728 673920 677664 679536 682370 684255 689040 692868 696960 698841 700832 708615 716760 723840 729872 741312 746460 750607 751680 752960 755040 755856 757944 762372 764544 776490 781920 784080 788436 796224 806355 814320 818844 821106 823680 826848 828256 839840 842160 847080 849420 850338 854139 860112 866085 876040 895752 903552 906048 912340 918720 923824 926640 931788 938304 944820 947430 952965 955680 977184 985545 995280 1006720 1007808 1010592 1016496 1019304 1023555 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2265120 2267568 2273832 2277704 2293632 2309560 2329470 2345760 2365308 2388672 2442960 2456532 2463318 2471040 2484768 2519520 2526480 2540516 2541240 2548260 2562417 2580336 2598255 2628120 2654080 2687256 2710656 2718144 2729480 2737020 2756160 2771472 2795364 2803328 2834460 2842290 2847130 2867040 2919488 2956635 2985840 3002428 3020160 3023424 3031776 3049488 3070665 3105960 3117906 3127680 3136320 3153744 3175645 3225420 3257280 3275376 3284424 3307392 3313024 3359070 3359360 3368640 3388320 3397680 3401352 3416556 3440448 3464340 3494205 3504160 3547962 3583008 3649360 3684798 3694977 3695296 3706560 3727152 3753035 3779280 3789720 3810774 3811860 3822720 3908736 3942180 3981120 4042368 4065984 4077216 4094220 4105530 4134240 4141280 4157208 4193046 4204992 4251690 4270695 4300560 4367168 4379232 4478760 4503642 4517760 4530240 4535136 4547664 4555408 4619120 4658940 4676859 4691520 4730616 4777344 4885920 4913064 4926636 4969536 5039040 5052960 5081032 5082480 5096520 5124834 5160672 5196510 5256240 5374512 5436288 5458960 5474040 5512320 5527197 5542944 5590728 5668920 5684580 5694260 5716161 5734080 5838976 5913270 5971680 6004856 6046848 6063552 6098976 6141330 6158295 6211920 6235812 6272640 6307488 6351290 6450840 6514560 6550752 6568848 6718140 6737280 6755463 6776640 6795360 6802704 6833112 6880896 6928680 6988410 7008320 7095924 7166016 7298720 7369596 7389954 7390592 7413120 7454304 7506070 7558560 7579440 7621548 7623720 7687251 7794765 7884360 7962240 8131968 8154432 8188440 8211060 8256677 8268480 8282560 8314416 8386092 8409984 8503380 8541390 8601120 8734336 8758464 8869905 8957520 9007284 9060480 9070272 9095328 9110816 9211995 9238240 9317880 9353718 9383040 9461232 9526935 9771840 9826128 9853272 9939072 10078080 10105920 10162064 10164960 10193040 10249668 10321344 10393020 10482615 10512480 10749024 10917920 10948080 11054394 11085888 11181456 11259105 11337840 11369160 11388520 11432322 11468160 11826540 11943360 12009712 12127104 12197952 12282660 12316590 12423840 12471624 12614976 12702580 12812085 12901680 13101504 13137696 13436280 13510926 13553280 13590720 13605408 13666224 13857360 13976820 14016640 14191848 14332032 14597440 14739192 14779908 14908608 15012140 15117120 15158880 15243096 15247440 15374502 15589530 15768720 16308864 16376880 16422120 16513354 16536960 16565120 16628832 16772184 17006760 17082780 17148483 17202240 17516928 17739810 17915040 18014568 18140544 18190656 18221632 18423990 18474885 18476480 18635760 18707436 18922464 19053870 19543680 19652256 19706544 20211840 20266389 20324128 20329920 20386080 20499336 20642688 20786040 20965230 21024960 21498048 21835840 21896160 22108788 22171776 22362912 22518210 22675680 22738320 22777040 22864644 23061753 23384295 23653080 23886720 24019424 24395904 24565320 24633180 24770031 24847680 24943248 25229952 25405160 25624170 25803360 26203008 26275392 26872560 27021852 27181440 27210816 27332448 27635985 27714720 27953640 28383696 28580805 29194880 29478384 29559816 29817216 30024280 30234240 30317760 30486192 30494880 30749004 31179060 31537440 32753760 32844240 33026708 33257664 33544368 33777315 34013520 34165560 34296966 34404480 35479620 35830080 36029136 36381312 36443264 36847980 36949770 36952960 37271520 37414872 37844928 38107740 38436255 39304512 39413088 40532778 40648256 40659840 40772160 40998672 41283385 41572080 41930460 42049920 42996096 43671680 43792320 44217576 44725824 45036420 45351360 45476640 45554080 45729288 46123506 46768590 47306160 48038848 49130640 49266360 49540062 49695360 49886496 50810320 51248340 51445449 51606720 52550784 53745120 54043704 54421632 54664896 55271970 55429440 55907280 56767392 57161610 58956768 59119632 60048560 60635520 60799167 60972384 60989760 61498008 62358120 63074880 65507520 65688480 66053416 66515328 67088736 67554630 68027040 68331120 68593932 70959240 71660160 72058272 73695960 73899540 74310093 74543040 74829744 75689856 76215480 76872510 78609024 78826176 81065556 81296512 81544320 81997344 82566770 83144160 83860920 85742415 87584640 88435152 89451648 90072840 90702720 90953280 91108160 91458576 92247012 93537180 94612320 96077696 98261280 98532720 99080124 99772992 101331945 101620640 102496680 102890898 103213440 107490240 108087408 109329792 110543940 110858880 111814560 113534784 114323220 115308765 117913536 118239264 120097120 121598334 121944768 121979520 122996016 123850155 124716240 126149760 131015040 131376960 132106832 134177472 135109260 136054080 136662240 137187864 141918480 144116544 147391920 147799080 148620186 149086080 149659488 152430960 153745020 157652352 162131112 163994688 165133540 166288320 167721840 171484830 176870304 180145680 181906560 182216320 182917152 184494024 187074360 189224640 196522560 197065440 198160248 199545984 202663890 203241280 204993360 205781796 214980480 216174816 221087880 222930279 223629120 227069568 228646440 230617530 235827072 236478528 240194240 243196668 243889536 245992032 247700310 249432480 257227245 262753920 264213664 268354944 270218520 272108160 273324480 274375728 283836960 288233088 294783840 295598160 297240372 299318976 303995835 304861920 307490040 324262224 327989376 330267080 332576640 335443680 342969660 353740608 360291360 365834304 368988048 371550465 374148720 378449280 393045120 394130880 396320496 405327780 406482560 409986720 411563592 432349632 442175760 445860558 447258240 457292880 461235060 472957056 480388480 486393336 491984064 495400620 498864960 514454490 528427328 540437040 546648960 548751456 567673920 589567680 591196320 594480744 598637952 607991670 609723840 614980080 648524448 660534160 668790837 670887360 685939320 707481216 720582720 731668608 737976096 743100930 748297440 788261760 792640992 810655560 819973440 823127184 864699264 884351520 891721116 914585760 922470120 972786672 983968128 990801240 997729920 1028908980 1056854656 1080874080 1097502912 1114651395 1135347840 1179135360 1182392640 1188961488 1215983340 1219447680 1229960160 1297048896 1321068320 1337581674 1341774720 1371878640 1441165440 1475952192 1486201860 1496594880 1585281984 1621311120 1639946880 1646254368 1768703040 1783442232 1829171520 1844940240 1945573344 1981602480 2057817960 2161748160 2195005824 2229302790 2364785280 2377922976 2431966680 2459920320 2594097792 2642136640 2675163348 2743757280 2951904384 2972403720 2993189760 3170563968 3242622240 3292508736 3343954185 3537406080 3566884464 3658343040 3689880480 3891146688 3963204960 4115635920 4323496320 4458605580 4755845952 4863933360 4919840640 5284273280 5350326696 5487514560 5944807440 6485244480 6585017472 6687908370 7133768928 7379760960 7782293376 7926409920 8231271840 8917211160 9511691904 9727866720 10700653392 10975029120 11889614880 12970488960 13375816740 14267537856 14759521920 15852819840 16462543680 17834422320 19455733440 21401306784 23779229760 26751633480 28535075712 32925087360 35668844640 38911466880 42802613568 47558459520 53503266960 71337689280 85605227136 107006533920 142675378560 214013067840 428026135680
- Sum of all divisors σ(n): 1882127847600
- Sum of proper divisors (its aliquot sum) s(n): 1454101711920
- 428026135680 is an abundant number, because the sum of its proper divisors (1454101711920) is greater than itself. Its abundance is 1026075576240
Bases of 428026135680
- Binary: 1100011101010000101100010000100100000002
- Hexadecimal: 0x63A8588480
- Base-36: 5GMRPK00
Squares and roots of 428026135680
- 428026135680 squared (4280261356802) is 183206372825153769062400
- 428026135680 cubed (4280261356803) is 78417115792299932073566208786432000
-
The
square root of 428026135680 is 654237.0638231985 -
The
cube root of 428026135680 is 7536.2754372125
Scales and comparisons
How big is 428026135680?- 428,026,135,680 seconds is equal to 13,609 years, 47 weeks, 1 day, 4 hours, 48 minutes.
-
To count from 1 to 428,026,135,680 would take you about twenty-seven thousand, two hundred nineteen 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 428026135680 cubic inches would be around 628 feet tall.
Recreational maths with 428026135680
- 428026135680 backwards is 086531620824
- 428026135680 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 428026135680's digits is 45
- More coming soon!
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"Number 428026135680 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
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Numbermatics. (2024). Number 428026135680 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/428026135680/
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The information we have on file for 428026135680 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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