468907564106317824

Names of 468907564106317824

• Cardinal: 468907564106317824 can be written as Four hundred sixty-eight quadrillion, nine hundred seven trillion, five hundred sixty-four billion, one hundred six million, three hundred seventeen thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 4.68907564106317824 × 10¹⁷

Factors of 468907564106317824

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 741

Divisors of 468907564106317824

• Number of divisors d(n): 816
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 137 144 162 192 216 243 256 274 288 324 384 411 432 486 512 548 576 599 648 768 822 864 972 1024 1096 1152 1198 1233 1296 1536 1644 1728 1797 1944 2048 2192 2304 2396 2466 2592 3072 3288 3456 3594 3699 3888 4096 4384 4608 4792 4932 5184 5391 6144 6576 6912 7188 7398 7776 8192 8768 9216 9584 9864 10368 10782 11097 12288 13152 13824 14376 14796 15552 16173 16384 17536 18432 19168 19728 20736 21564 22194 24576 26304 27648 28752 29592 31104 32346 32768 33291 35072 36864 38336 39456 41472 43128 44388 48519 49152 52608 55296 57504 59184 62208 64692 65536 66582 70144 73728 76672 78912 82063 82944 86256 88776 97038 98304 105216 110592 115008 118368 124416 129384 133164 140288 145557 147456 153344 157824 164126 165888 172512 177552 194076 196608 210432 221184 230016 236736 246189 248832 258768 266328 280576 291114 294912 306688 315648 328252 331776 345024 355104 358801 388152 420864 442368 460032 473472 492378 497664 517536 532656 561152 582228 589824 613376 631296 656504 663552 690048 710208 717602 738567 776304 841728 884736 920064 946944 984756 995328 1035072 1065312 1076403 1122304 1164456 1226752 1262592 1313008 1327104 1380096 1420416 1435204 1477134 1552608 1683456 1769472 1840128 1893888 1969512 1990656 2070144 2130624 2152806 2215701 2244608 2328912 2453504 2525184 2626016 2654208 2760192 2840832 2870408 2954268 3105216 3229209 3366912 3680256 3787776 3939024 3981312 4140288 4261248 4305612 4431402 4489216 4657824 4907008 5050368 5252032 5308416 5520384 5681664 5740816 5908536 6210432 6458418 6647103 6733824 7360512 7575552 7878048 7962624 8280576 8522496 8611224 8862804 8978432 9315648 9687627 9814016 10100736 10504064 11040768 11363328 11481632 11817072 12420864 12916836 13294206 13467648 14721024 15151104 15756096 15925248 16561152 17044992 17222448 17725608 18631296 19375254 19628032 19941309 20201472 21008128 22081536 22726656 22963264 23634144 24841728 25833672 26588412 26935296 29062881 29442048 30302208 31512192 33122304 34089984 34444896 35451216 37262592 38750508 39256064 39882618 40402944 42016256 44163072 45453312 45926528 47268288 49155737 49683456 51667344 53176824 58125762 58884096 60604416 63024384 66244608 68179968 68889792 70902432 74525184 77501016 79765236 80805888 84032512 87188643 88326144 90906624 91853056 94536576 98311474 99366912 103334688 106353648 116251524 117768192 121208832 126048768 132489216 136359936 137779584 141804864 147467211 149050368 155002032 159530472 168065024 174377286 176652288 181813248 183706112 189073152 196622948 198733824 206669376 212707296 214921799 232503048 242417664 252097536 264978432 272719872 275559168 283609728 294934422 298100736 310004064 319060944 336130048 348754572 353304576 363626496 367412224 378146304 393245896 397467648 413338752 425414592 429843598 442401633 465006096 504195072 529956864 545439744 551118336 567219456 589868844 596201472 620008128 638121888 644765397 672260096 697509144 727252992 734824448 756292608 786491792 794935296 826677504 850829184 859687196 884803266 930012192 1008390144 1059913728 1090879488 1102236672 1134438912 1179737688 1192402944 1240016256 1276243776 1289530794 1327204899 1344520192 1395018288 1469648896 1512585216 1572983584 1589870592 1653355008 1701658368 1719374392 1769606532 1860024384 1934296191 2016780288 2181758976 2204473344 2268877824 2359475376 2384805888 2480032512 2552487552 2579061588 2654409798 2689040384 2790036576 2939297792 3025170432 3145967168 3179741184 3306710016 3403316736 3438748784 3539213064 3720048768 3868592382 3981614697 4033560576 4408946688 4537755648 4718950752 4769611776 4960065024 5104975104 5158123176 5308819596 5378080768 5580073152 5802888573 5878595584 6050340864 6291934336 6613420032 6806633472 6877497568 7078426128 7440097536 7737184764 7963229394 8067121152 8817893376 9075511296 9437901504 9539223552 9920130048 10209950208 10316246352 10617639192 11160146304 11605777146 11757191168 11944844091 12100681728 12583868672 13226840064 13613266944 13754995136 14156852256 14880195072 15474369528 15926458788 16134242304 17408665719 17635786752 18151022592 18875803008 19840260096 20419900416 20632492704 21235278384 22320292608 23211554292 23514382336 23889688182 24201363456 25167737344 26453680128 27226533888 27509990272 28313704512 29444286463 29760390144 30948739056 31852917576 34817331438 35271573504 36302045184 37751606016 39680520192 40839800832 41264985408 42470556768 44640585216 46423108584 47779376364 48402726912 50335474688 52225997157 52907360256 54453067776 55019980544 56627409024 58888572926 59520780288 61897478112 63705835152 69634662876 70543147008 72604090368 75503212032 79361040384 81679601664 82529970816 84941113536 88332859389 89281170432 92846217168 95558752728 100670949376 104451994314 105814720512 108906135552 110039961088 113254818048 117777145852 119041560576 123794956224 127411670304 139269325752 145208180736 151006424064 158722080768 163359203328 165059941632 169882227072 176665718778 178562340864 185692434336 191117505456 201341898752 208903988628 211629441024 217812271104 220079922176 226509636096 235554291704 238083121152 247589912448 254823340608 264998578167 278538651504 302012848128 317444161536 326718406656 330119883264 339764454144 353331437556 357124681728 371384868672 382235010912 402683797504 417807977256 435624542208 440159844352 453019272192 471108583408 476166242304 495179824896 509646681216 529997156334 557077303008 604025696256 634888323072 653436813312 660239766528 679528908288 706662875112 714249363456 742769737344 764470021824 794995734501 805367595008 835615954512 880319688704 906038544384 942217166816 952332484608 990359649792 1019293362432 1059994312668 1114154606016 1208051392512 1306873626624 1320479533056 1359057816576 1413325750224 1428498726912 1485539474688 1528940043648 1589991469002 1610735190016 1671231909024 1760639377408 1812077088768 1884434333632 1904664969216 1980719299584 2038586724864 2119988625336 2228309212032 2384987203503 2416102785024 2640959066112 2718115633152 2826651500448 2856997453824 2971078949376 3057880087296 3179982938004 3221470380032 3342463818048 3521278754816 3624154177536 3768868667264 3961438599168 4077173449728 4239977250672 4456618424064 4769974407006 4832205570048 5281918132224 5436231266304 5653303000896 5713994907648 5942157898752 6115760174592 6359965876008 6684927636096 7042557509632 7154961610509 7248308355072 7537737334528 7922877198336 8154346899456 8479954501344 8913236848128 9539948814012 9664411140096 10563836264448 10872462532608 11306606001792 11884315797504 12231520349184 12719931752016 13369855272192 14085115019264 14309923221018 14496616710144 15075474669056 15845754396672 16308693798912 16959909002688 17826473696256 19079897628024 21127672528896 21744925065216 22613212003584 23768631595008 24463040698368 25439863504032 26739710544384 28619846442036 28993233420288 30150949338112 31691508793344 32617387597824 33919818005376 35652947392512 38159795256048 42255345057792 43489850130432 45226424007168 47537263190016 48926081396736 50879727008064 53479421088768 57239692884072 60301898676224 63383017586688 65234775195648 67839636010752 71305894785024 76319590512096 86979700260864 90452848014336 95074526380032 97852162793472 101759454016128 106958842177536 114479385768144 120603797352448 126766035173376 130469550391296 135679272021504 142611789570048 152639181024192 180905696028672 190149052760064 195704325586944 203518908032256 213917684355072 228958771536288 241207594704896 260939100782592 271358544043008 285223579140096 305278362048384 361811392057344 380298105520128 391408651173888 407037816064512 427835368710144 457917543072576 482415189409792 542717088086016 570447158280192 610556724096768 723622784114688 782817302347776 814075632129024 855670737420288 915835086145152 964830378819584 1085434176172032 1140894316560384 1221113448193536 1447245568229376 1628151264258048 1711341474840576 1831670172290304 1929660757639168 2170868352344064 2442226896387072 2894491136458752 3256302528516096 3422682949681152 3663340344580608 4341736704688128 4884453792774144 5788982272917504 6512605057032192 7326680689161216 8683473409376256 9768907585548288 13025210114064384 14653361378322432 17366946818752512 19537815171096576 26050420228128768 29306722756644864 39075630342193152 52100840456257536 58613445513289728 78151260684386304 117226891026579456 156302521368772608 234453782053158912 468907564106317824
• Sum of all divisors σ(n): 1417402480602326400
• Sum of proper divisors (its aliquot sum) s(n): 948494916496008576
• 468907564106317824 is an abundant number, because the sum of its proper divisors (948494916496008576) is greater than itself. Its abundance is 479587352389690752

Bases of 468907564106317824

• Binary: 11010000001111001001111000111110111000011010000000000000000₂
• Hexadecimal: 0x681E4F1F70D0000
• Base-36: 3K91UX4YDC00

Squares and roots of 468907564106317824

• 468907564106317824 squared (468907564106317824²) is 219874303676120559734544951700094976
• 468907564106317824 cubed (468907564106317824³) is 103100724146342494155802298622828030659737662441652224
• The square root of 468907564106317824 is 684768255.7671009795
• The cube root of 468907564106317824 is 776895.1546603677

Scales and comparisons

• 468,907,564,106,317,824 seconds is equal to 14,909,810,112 years, 13 weeks, 1 day, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 468,907,564,106,317,824 would take you about forty-four billion, seven hundred twenty-nine million, four hundred thirty thousand, three hundred thirty-six 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 468907564106317824 cubic inches would be around 64741.3 feet tall.

Recreational maths with 468907564106317824

• 468907564106317824 backwards is 428713601465709864
• 468907564106317824 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 468907564106317824's digits is 81
• More coming soon!