488461728342016

Names of 488461728342016

• Cardinal: 488461728342016 can be written as Four hundred eighty-eight trillion, four hundred sixty-one billion, seven hundred twenty-eight million, three hundred forty-two thousand and sixteen.

Scientific notation

• Scientific notation: 4.88461728342016 × 10¹⁴

Factors of 488461728342016

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 51073

Divisors of 488461728342016

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 8 11 13 16 17 22 26 32 34 37 44 52 64 68 74 88 104 128 136 143 148 169 176 187 208 221 256 272 286 296 338 352 374 407 416 442 481 512 544 572 592 629 676 704 748 814 832 884 962 1024 1088 1144 1184 1258 1352 1408 1496 1628 1664 1768 1859 1924 2048 2176 2288 2368 2431 2516 2704 2816 2873 2992 3256 3328 3536 3718 3848 4096 4352 4576 4736 4862 5032 5291 5408 5632 5746 5984 6253 6512 6656 6919 7072 7436 7696 8177 8192 8704 9152 9472 9724 10064 10582 10816 11264 11492 11968 12506 13024 13312 13838 14144 14872 15392 16354 17408 18304 18944 19448 20128 21164 21632 22528 22984 23936 25012 26048 26624 27676 28288 29744 30784 31603 32708 34816 36608 37888 38896 40256 42328 43264 45056 45968 47872 50024 50993 52096 53248 55352 56576 59488 61568 63206 65416 68783 69632 73216 75776 77792 80512 84656 86528 89947 90112 91936 95744 100048 101986 104192 106301 106496 110704 113152 118976 123136 126412 130832 137566 139264 146432 151552 155584 161024 169312 173056 179894 183872 191488 200096 203972 208384 212602 221408 226304 237952 246272 252824 261664 275132 292864 303104 311168 322048 338624 346112 359788 367744 382976 400192 407944 416768 425204 442816 452608 475904 492544 505648 523328 550264 560923 585728 622336 644096 662909 677248 692224 719576 735488 765952 800384 815888 833536 850408 866881 885632 905216 951808 985088 1011296 1046656 1100528 1121846 1169311 1171456 1244672 1288192 1325818 1354496 1384448 1439152 1470976 1531904 1600768 1631776 1667072 1700816 1733762 1771264 1810432 1886741 1903616 1970176 2022592 2093312 2201056 2243692 2338622 2489344 2576384 2651636 2708992 2878304 2941952 3201536 3263552 3334144 3401632 3467524 3542528 3773482 3807232 3940352 4045184 4186624 4402112 4487384 4677244 4978688 5152768 5303272 5417984 5756608 5883904 6403072 6527104 6803264 6935048 7085056 7291999 7546964 7614464 8090368 8373248 8617817 8804224 8974768 9354488 9535691 9957376 10606544 10835968 11269453 11513216 11767808 12806144 13054208 13606528 13870096 14170112 14583998 15093928 15228928 16180736 16746496 17235634 17608448 17949536 18708976 19071382 19914752 20754151 21213088 21671936 22538906 23026432 23535616 24527633 25612288 26108416 27213056 27740192 28340224 29167996 30187856 32074597 32361472 33492992 34471268 35216896 35899072 37417952 38142764 41508302 42426176 43343872 45077812 46052864 49055266 51224576 52216832 54426112 55480384 56680448 58335992 60375712 64149194 64722944 66985984 68942536 70433792 71798144 74835904 76285528 83016604 84852352 90155624 92105728 94795987 98110532 104433664 108852224 110960768 116671984 120751424 123963983 128298388 129445888 137885072 140867584 143596288 146502889 149671808 152571056 166033208 169704704 180311248 184211456 189591974 196221064 208867328 217704448 221921536 233343968 241502848 247927966 256596776 258891776 269803963 275770144 281735168 287192576 293005778 299343616 305142112 318859229 332066416 339409408 352820567 360622496 368422912 379183948 392442128 416969761 417734656 435408896 443843072 466687936 483005696 495855932 513193552 539607926 551540288 563470336 574385152 586011556 598687232 610284224 637718458 664132832 678818816 705641134 721244992 736845824 758367896 784884256 833939522 870817792 887686144 933375872 966011392 991711864 1026387104 1079215852 1103080576 1148770304 1172023112 1197374464 1220568448 1275436916 1328265664 1357637632 1411282268 1442489984 1516735792 1569768512 1611531779 1667879044 1775372288 1866751744 1932022784 1983423728 2052774208 2158431704 2206161152 2297540608 2344046224 2394748928 2441136896 2550873832 2656531328 2715275264 2822564536 2884979968 3033471584 3139537024 3223063558 3335758088 3507451519 3550744576 3733503488 3864045568 3966847456 4105548416 4316863408 4412322304 4586667371 4595081216 4688092448 4789497856 4882273792 5101747664 5313062656 5420606893 5430550528 5645129072 5769959936 6066943168 6279074048 6446127116 6671516176 7014903038 7101489152 7467006976 7728091136 7933694912 8211096832 8633726816 8824644608 9173334742 9376184896 9578995712 9764547584 10203495328 10626125312 10841213786 11290258144 11539919872 12133886336 12558148096 12892254232 13343032352 14029806076 14934013952 15456182272 15867389824 16422193664 17267453632 17649289216 18346669484 18752369792 19529095168 20406990656 21252250624 21682427572 22580516288 23079839744 24267772672 25116296192 25784508464 26686064704 28059612152 29868027904 31734779648 32844387328 34534907264 35298578432 36693338968 37504739584 39058190336 40813981312 42504501248 43364855144 45161032576 46159679488 48535545344 50232592384 51569016928 53372129408 56119224304 59626675823 59736055808 63469559296 65688774656 69069814528 70597156864 73386677936 75009479168 78116380672 81627962624 85009002496 86729710288 90322065152 92319358976 97071090688 100465184768 103138033856 106744258816 112238448608 119253351646 126939118592 131377549312 138139629056 146773355872 150018958336 163255925248 170018004992 173459420576 180644130304 194142181376 200930369536 206276067712 213488517632 224476897216 238506703292 253878237184 262755098624 276279258112 293546711744 300037916672 326511850496 346918841152 361288260608 388284362752 412552135424 426977035264 448953794432 477013406584 507756474368 552558516224 587093423488 600075833344 653023700992 693837682304 722576521216 776568725504 825104270848 853954070528 897907588864 954026813168 1015512948736 1105117032448 1174186846976 1200151666688 1306047401984 1387675364608 1445153042432 1650208541696 1707908141056 1795815177728 1908053626336 2210234064896 2348373693952 2612094803968 2775350729216 2890306084864 3300417083392 3415816282112 3591630355456 3816107252672 4696747387904 5550701458432 6600834166784 7183260710912 7632214505344 9393494775808 11101402916864 13201668333568 14366521421824 15264429010688 18786989551616 22202805833728 28733042843648 30528858021376 37573979103232 44405611667456 61057716042752 122115432085504 244230864171008 488461728342016
• Sum of all divisors σ(n): 1254876390224928
• Sum of proper divisors (its aliquot sum) s(n): 766414661882912
• 488461728342016 is an abundant number, because the sum of its proper divisors (766414661882912) is greater than itself. Its abundance is 277952933540896

Bases of 488461728342016

• Binary: 1101111000100000011011011110011011110000000000000₂
• Hexadecimal: 0x1BC40DBCDE000
• Base-36: 4T587XCHDS

Squares and roots of 488461728342016

• 488461728342016 squared (488461728342016²) is 238594860054869436844270944256
• 488461728342016 cubed (488461728342016³) is 116544457715922959591865677643207605638660096
• The square root of 488461728342016 is 22101170.2934938719
• The cube root of 488461728342016 is 78754.7663310551

Scales and comparisons

• 488,461,728,342,016 seconds is equal to 15,531,572 years, 2 weeks, 4 days, 4 hours, 20 minutes, 16 seconds.
• To count from 1 to 488,461,728,342,016 would take you about thirty-eight million, eight hundred twenty-eight thousand, nine hundred thirty 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 488461728342016 cubic inches would be around 6562.9 feet tall.

Recreational maths with 488461728342016

• 488461728342016 backwards is 610243827164884
• 488461728342016 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 488461728342016's digits is 64
• More coming soon!