468316647036746144

Names of 468316647036746144

• Cardinal: 468316647036746144 can be written as Four hundred sixty-eight quadrillion, three hundred sixteen trillion, six hundred forty-seven billion, thirty-six million, seven hundred forty-six thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 4.68316647036746144 × 10¹⁷

Factors of 468316647036746144

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 6108

Divisors of 468316647036746144

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 76 91 98 104 112 133 152 169 182 196 208 224 247 266 304 338 343 361 364 392 416 494 532 608 637 676 686 722 728 784 931 988 1064 1183 1274 1352 1372 1444 1456 1568 1729 1862 1976 2128 2366 2527 2548 2704 2744 2888 2912 3211 3458 3724 3952 4256 4459 4693 4732 5054 5096 5408 5488 5776 6067 6422 6517 6859 6916 7448 7904 8281 8918 9386 9464 10108 10192 10976 11552 12103 12134 12844 13034 13718 13832 14896 16562 17689 17836 18772 18928 20216 20384 22477 24206 24268 25688 26068 27436 27664 29792 32851 33124 35378 35672 37544 37856 40432 42469 44954 48013 48412 48536 51376 52136 54872 55328 57967 61009 65702 66248 70756 71344 75088 78871 80864 84721 84938 89167 89908 96026 96824 97072 102752 104272 109744 115273 115934 122018 123823 131404 132496 141512 142688 150176 157339 157742 169442 169876 178334 179816 192052 193648 194144 208544 219488 229957 230546 231868 244036 247646 262808 264992 283024 297283 314678 315484 336091 338884 339752 356668 359632 384104 387296 427063 459914 461092 463736 488072 495292 525616 552097 566048 594566 624169 629356 630968 672182 677768 679504 713336 719264 768208 806911 854126 919828 922184 927472 976144 990584 1025323 1051232 1101373 1104194 1159171 1189132 1248338 1258712 1261936 1344364 1355536 1359008 1426672 1498549 1536416 1609699 1613822 1708252 1839656 1844368 1854944 1952288 1981168 2050646 2080981 2190187 2202746 2208388 2318342 2352637 2378264 2496676 2517424 2523872 2688728 2711072 2853344 2989441 2997098 3219398 3227644 3416504 3679312 3688736 3864679 3962336 4101292 4161962 4369183 4380374 4405492 4416776 4636684 4705274 4756528 4993352 5034848 5377456 5648377 5978882 5994196 6438796 6455288 6833008 7177261 7358624 7729358 8114197 8202584 8323924 8738366 8760748 8810984 8833552 9273368 9410548 9513056 9986704 10489843 10754912 11296754 11957764 11988392 12877592 12910576 13666016 14354522 15331309 15458716 16228394 16405168 16647848 17476732 17521496 17621968 17667104 18546736 18821096 19481137 19973408 20926087 20979686 22593508 23915528 23976784 25755184 25821152 27052753 28472431 28709044 30584281 30662618 30917432 32456788 32810336 33295696 34953464 35042992 35243936 36808489 37093472 37642192 38962274 39538639 41613553 41852174 41959372 45187016 47831056 47953568 50240827 51510368 54105506 56799379 56944862 57418088 61168562 61325236 61834864 64913576 66591392 69906928 70085984 73428901 73616978 75284384 77924548 79077278 83227106 83704348 83918744 90374032 95662112 100481654 107319163 108211012 113598758 113889724 114836176 122337124 122650472 123669728 129827152 136367959 139813856 146857802 147233956 155849096 158154556 166454212 167408696 167837488 180748064 199307017 200963308 214638326 216422024 227197516 227779448 229672352 244674248 245300944 257659423 259654304 272735918 291294871 293715604 294467912 311698192 316309112 332908424 334817392 335674976 351685789 370141603 397595653 398614034 401926616 429276652 432844048 454395032 455558896 478510357 489348496 490601888 514002307 515318846 540976189 545471836 582589742 587431208 588935824 623396384 632618224 665816848 669634784 699361291 703371578 740283206 751234141 795191306 797228068 803853232 858553304 865688096 908790064 911117792 954575713 957020714 978696992 1028004614 1030637692 1081952378 1090943672 1165179484 1174862416 1177871648 1265236448 1331633696 1395149119 1398722582 1406743156 1480566412 1502468282 1590382612 1594456136 1607706464 1717106608 1803615961 1817580128 1909151426 1914041428 2039064097 2056009228 2061275384 2163904756 2181887344 2330358968 2349724832 2590991221 2790298238 2797445164 2813486312 2961132824 3004936564 3180765224 3188912272 3349572499 3434213216 3607231922 3786833323 3818302852 3828082856 4078128194 4112018456 4122550768 4327809512 4363774688 4660717936 4895529037 5181982442 5580596476 5594890328 5626972624 5922265648 6009873128 6220634641 6361530448 6377824544 6682029991 6699144998 7032690457 7214463844 7573666646 7636605704 7656165712 8156256388 8224036912 8245101536 8655619024 9091696783 9321435872 9766043833 9791058074 10363964884 11161192952 11189780656 11253945248 11844531296 12019746256 12441269282 12625311727 12723060896 13287864529 13364059982 13398289996 14065380914 14273448679 14428927688 15147333292 15273211408 15312331424 16312512776 16448073824 17311238048 18136938547 18183393566 19532087666 19582116148 20727929768 22322385904 22379561312 23447007493 24039492512 24882538564 25250623454 26507833261 26575729058 26728119964 26796579992 28130761828 28546897358 28857855376 30294666584 30546422816 32625025552 34268703259 36273877094 36366787132 39064175332 39164232296 41455859536 43544442487 44644771808 46894014986 49228833199 49765077128 50501246908 53015666522 53151458116 53456239928 53593159984 56261523656 57093794716 57715710752 60589333168 63641877481 65250051104 68537406518 72547754188 72733574264 78128350664 78328464592 82911719072 87088884974 93015051703 93788029972 98457666398 99530154256 101002493816 106031333044 106302916232 106912479856 107186319968 112523047312 114187589432 118192058179 121178666336 126958569829 127283754962 137074813036 145095508376 145467148528 156256701328 156656929184 164129052451 172742238877 174177769948 185554832827 186030103406 187576059944 196915332796 199060308512 202004987632 212062666088 212605832464 213824959712 225046094624 228375178864 236384116358 239880922813 252469426051 253917139658 254567509924 274149626072 290191016752 290934297056 304811097409 312513402656 328258104902 344601832393 345484477754 348355539896 371109665654 372060206812 375152119888 393830665592 404009975264 424125332176 425211664928 445493142367 456750357728 472768232716 479761845626 504938852102 507834279316 509135019848 548299252144 580382033504 609622194818 651105361921 656516209804 689203664786 690968955508 696711079792 742219331308 744120413624 750304239776 787661331184 827344407253 848250664352 890986284734 945536465432 959523691252 1009877704204 1015668558632 1018270039696 1096598504288 1209195672139 1219244389636 1302210723842 1313032419608 1378407329572 1381937911016 1393422159584 1484438662616 1488240827248 1575322662368 1654688814506 1767285982357 1781972569468 1891072930864 1919047382504 2019755408408 2031337117264 2036540079392 2133677681863 2245649105401 2412212826751 2418391344278 2438488779272 2604421447684 2626064839216 2756814659144 2763875822032 2968877325232 2976481654496 3118451996569 3282102538663 3309377629012 3534571964714 3563945138936 3782145861728 3838094765008 4039510816816 4062674234528 4267355363726 4491298210802 4557737533447 4824425653502 4836782688556 4876977558544 5208842895368 5252129678432 5513629318288 5527751644064 5791410850771 5937754650464 6236903993138 6564205077326 6618755258024 7069143929428 7127890277872 7676189530016 8079021633632 8464369704973 8534710727452 8982596421604 9115475066894 9648851307004 9673565377112 9753955117088 10417685790736 11027258636576 11582821701542 12371001876499 12473807986276 13128410154652 13237510516048 14138287858856 14255780555744 15719543737807 16928739409946 17069421454904 17965192843208 18230950133788 19297702614008 19347130754224 20835371581472 22974717770641 23165643403084 24742003752998 24947615972552 26256820309304 26475021032096 28276575717712 31439087475614 33857478819892 34138842909808 35930385686416 36461900267576 38595405228016 38694261508448 40539875955397 42667333002619 45949435541282 46331286806168 49484007505996 49895231945104 52513640618608 56553151435424 59250587934811 62878174951228 67714957639784 68277685819616 71860771372832 72923800535152 77190810456032 81079751910794 85334666005238 86597013135493 91898871082564 92662573612336 98968015011992 99790463890208 105027281237216 110036806164649 118501175869622 125756349902456 135429915279568 145847601070304 160823024394487 162159503821588 170669332010476 173194026270986 183797742165128 185325147224672 197936030023984 220073612329298 237002351739244 251512699804912 270859830559136 298671331018333 321646048788974 324319007643176 341338664020952 346388052541972 367595484330256 395872060047968 440147224658596 474004703478488 503025399609824 597342662036666 643292097577948 648638015286352 682677328041904 692776105083944 735190968660512 770257643152543 880294449317192 948009406956976 1125761170761409 1194685324073332 1286584195155896 1297276030572704 1365354656083808 1385552210167888 1540515286305086 1760588898634384 1896018813913952 2090699317128331 2251522341522818 2389370648146664 2573168390311792 2771104420335776 3081030572610172 3521177797268768 4181398634256662 4503044683045636 4778741296293328 5146336780623584 6162061145220344 8362797268513324 9006089366091272 9557482592586656 12324122290440688 14634895219898317 16725594537026648 18012178732182544 24648244580881376 29269790439796634 33451189074053296 36024357464365088 58539580879593268 66902378148106592 117079161759186536 234158323518373072 468316647036746144
• Sum of all divisors σ(n): 1229163840083088000
• Sum of proper divisors (its aliquot sum) s(n): 760847193046341856
• 468316647036746144 is an abundant number, because the sum of its proper divisors (760847193046341856) is greater than itself. Its abundance is 292530546009595712

Bases of 468316647036746144

• Binary: 11001111111110010111000001001011101000001101111100110100000₂
• Hexadecimal: 0x67FCB825D06F9A0
• Base-36: 3K38E9L069I8

Squares and roots of 468316647036746144

• 468316647036746144 squared (468316647036746144²) is 219320481891740270897868615098868736
• 468316647036746144 cubed (468316647036746144³) is 102711432706023202671504789674647869360151796810153984
• The square root of 468316647036746144 is 684336647.4453535681
• The cube root of 468316647036746144 is 776568.6698526855

Scales and comparisons

• 468,316,647,036,746,144 seconds is equal to 14,891,020,777 years, 13 weeks, 6 days, 7 hours, 15 minutes, 44 seconds.
• To count from 1 to 468,316,647,036,746,144 would take you about forty-four billion, six hundred seventy-three million, sixty-two thousand, three hundred thirty-one 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 468316647036746144 cubic inches would be around 64714.1 feet tall.

Recreational maths with 468316647036746144

• 468316647036746144 backwards is 441647630746613864
• The number of decimal digits it has is: 18
• The sum of 468316647036746144's digits is 80
• More coming soon!