468164012023008
468,164,012,023,008 is an even composite number composed of seven prime numbers multiplied together.
What does the number 468164012023008 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
468164012023008 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 468164012023008:
25 × 34 × 7 × 31 × 307 × 331 × 8191
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 31 × 307 × 331 × 8191)See below for interesting mathematical facts about the number 468164012023008 from the Numbermatics database.
Names of 468164012023008
- Cardinal: 468164012023008 can be written as Four hundred sixty-eight trillion, one hundred sixty-four billion, twelve million, twenty-three thousand and eight.
Scientific notation
- Scientific notation: 4.68164012023008 × 1014
Factors of 468164012023008
Divisors of 468164012023008
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 54 56 62 63 72 81 84 93 96 108 112 124 126 144 162 168 186 189 216 217 224 248 252 279 288 307 324 331 336 372 378 432 434 496 504 558 567 614 648 651 662 672 744 756 837 864 868 921 992 993 1008 1116 1134 1228 1296 1302 1324 1488 1512 1674 1736 1842 1953 1986 2016 2149 2232 2268 2317 2456 2511 2592 2604 2648 2763 2976 2979 3024 3348 3472 3684 3906 3972 4298 4464 4536 4634 4912 5022 5208 5296 5526 5859 5958 6048 6447 6696 6944 6951 7368 7812 7944 8191 8289 8596 8928 8937 9072 9268 9517 9824 10044 10261 10416 10592 11052 11718 11916 12894 13392 13902 14736 15624 15888 16382 16578 17192 17577 17874 18144 18536 19034 19341 20088 20522 20832 20853 22104 23436 23832 24573 24867 25788 26784 26811 27804 28551 29472 30783 31248 31776 32764 33156 34384 35154 35748 37072 38068 38682 40176 41044 41706 44208 46872 47664 49146 49734 51576 53622 55608 57102 57337 58023 61566 62496 62559 65528 66312 66619 68768 70308 71496 71827 73719 74144 76136 77364 80352 82088 83412 85653 88416 92349 93744 95328 98292 99468 101617 103152 107244 111216 114204 114674 116046 123132 125118 131056 132624 133238 140616 142992 143654 147438 152272 154728 164176 166824 171306 172011 174069 184698 187488 187677 196584 198936 199857 203234 206304 214488 215481 221157 222432 228408 229348 232092 246264 250236 253921 256959 262112 265248 266476 277047 281232 285984 287308 294876 304544 304851 309456 328352 333648 342612 344022 348138 369396 375354 393168 397872 399714 406468 428976 430962 442314 456816 458696 464184 492528 500472 507842 513918 516033 532952 554094 562464 574616 589752 599571 609702 618912 646443 663471 667296 685224 688044 696276 711319 738792 750708 761763 770877 786336 795744 799428 812936 831141 857952 861924 884628 913632 914553 917392 928368 985056 1000944 1015684 1027836 1032066 1065904 1108188 1149232 1179504 1199142 1219404 1292886 1326942 1370448 1376088 1392552 1422638 1477584 1501416 1523526 1541754 1548099 1598856 1625872 1662282 1723848 1769256 1777447 1798713 1829106 1834784 1856736 1939329 2001888 2031368 2055672 2064132 2131808 2133957 2216376 2285289 2298464 2359008 2398284 2438808 2514637 2585772 2653884 2711221 2740896 2743659 2752176 2785104 2845276 2955168 3002832 3047052 3083508 3096198 3150127 3197712 3251744 3324564 3447696 3538512 3554894 3597426 3658212 3878658 4062736 4111344 4128264 4267914 4432752 4570578 4644297 4796568 4877616 5029274 5171544 5307768 5332341 5396139 5422442 5487318 5504352 5570208 5690552 5817987 6005664 6094104 6167016 6192396 6300254 6395424 6401871 6649128 6855867 6895392 7077024 7109788 7194852 7316424 7543911 7757316 8125472 8133663 8222688 8230977 8256528 8535828 8865504 9141156 9288594 9450381 9593136 9755232 10058548 10343088 10615536 10664682 10792278 10844884 10974636 11381104 11635974 12188208 12334032 12384792 12600508 12803742 13298256 13711734 14219576 14389704 14632848 15087822 15514632 15997023 16267326 16461954 16513056 17071656 17602459 18282312 18577188 18900762 18978547 19186272 19205613 20117096 20567601 20686176 21231072 21329364 21584556 21689768 21949272 22050889 22631733 22762208 23271948 24376416 24400989 24668064 24769584 25201016 25607484 26596512 27423468 28351143 28439152 28779408 29265696 30175644 31029264 31994046 32534652 32923908 34143312 35204918 36564624 37154376 37801524 37957094 38411226 40234192 41135202 42658728 43169112 43379536 43898544 44101778 45263466 46543896 47991069 48801978 49539168 50402032 51214968 52807377 54846936 56702286 56878304 56935641 57558816 57616839 60351288 62058528 63988092 65069304 65847816 66152667 67895199 68286624 70409836 73129248 73202967 74308752 75603048 75914188 76822452 77953747 80468384 82270404 84047851 85053429 85317456 86338224 86759072 87797088 88203556 90526932 93087792 95982138 97603956 100804064 102429936 105614754 109693872 113404572 113871282 115233678 120702576 127976184 130138608 131695632 132305334 135790398 140819672 143973207 146405934 148617504 151206096 151828376 153644904 155907494 158422131 164540808 168095702 170106858 170634912 170806923 172676448 176407112 181053864 186175584 191964276 195207912 198458001 203685597 204859872 211229508 219387744 219608901 226809144 227742564 230467356 233861241 241405152 252143553 255160287 255952368 260277216 263391264 264610668 271580796 281639344 287946414 292811868 302412192 303656752 307289808 311814988 316844262 329081616 336191404 340213716 341613846 352814224 362107728 383928552 390415824 396916002 407371194 422459016 439217802 453618288 455485128 460934712 467722482 475266393 504287106 510320574 511904736 512420769 529221336 543161592 545676229 563278688 575892828 585623736 588334957 595374003 607313504 614579616 623629976 633688524 658163232 672382808 680427432 683227692 701583723 705628448 724215456 756430659 767857104 780831648 793832004 814742388 832344847 844918032 878435604 907236576 910970256 921869424 935444964 950532786 1008574212 1020641148 1024841538 1058442672 1086323184 1091352458 1151785656 1171247472 1176669914 1190748006 1247259952 1267377048 1344765616 1360854864 1366455384 1403167446 1425799179 1512861318 1535714208 1537262307 1587664008 1629484776 1637028687 1664689694 1689836064 1756871208 1765004871 1786122009 1821940512 1843738848 1870889928 1901065572 2017148424 2041282296 2049683076 2104751169 2116885344 2172646368 2182704916 2269291977 2303571312 2342494944 2353339828 2381496012 2494519904 2497034541 2534754096 2689531232 2721709728 2732910768 2806334892 2851598358 3025722636 3074524614 3175328016 3258969552 3274057374 3329379388 3513742416 3530009742 3572244018 3741779856 3802131144 4034296848 4082564592 4099366152 4209502338 4365409832 4538583954 4607142624 4706679656 4762992024 4911086061 4994069082 5069508192 5295014613 5465821536 5612669784 5703196716 5826413929 6051445272 6149049228 6314253507 6350656032 6517939104 6548114748 6658758776 6807875931 7027484832 7060019484 7144488036 7483559712 7491103623 7604262288 8068593696 8165129184 8198732304 8419004676 8730819664 9077167908 9413359312 9525984048 9822172122 9988138164 10590029226 11225339568 11406393432 11652827858 12102890544 12298098456 12628507014 13096229496 13317517552 13615751862 14120038968 14288976072 14733258183 14982207246 15208524576 15885043839 16397464608 16838009352 17461639328 17479241787 18154335816 18826718624 19051968096 19644344244 19976276328 21180058452 22450679136 22473310869 22812786864 23305655716 24205781088 24596196912 25257014028 25802690257 26192458992 26635035104 27231503724 28240077936 28577952144 29466516366 29964414492 31770087678 33676018704 34958483574 36308671632 39288688488 39952552656 42360116904 44199774549 44946621738 45625573728 46611311432 47655131517 49192393824 50514028056 51605380514 52384917984 52437725361 54463007448 56480155872 57155904288 58933032732 59928828984 63540175356 67352037408 67419932607 69916967148 72617343264 77408070771 78577376976 79905105312 84720233808 88399549098 89893243476 93222622864 95310263034 101028056112 103210761028 104875450722 108926014896 117866065464 119857657968 127080350712 134839865214 139833934296 154816141542 157154753952 157313176083 169440467616 176799098196 179786486952 180618831799 186445245728 190620526068 202056112224 206421522056 209750901444 217852029792 232224212313 235732130928 239715315936 254160701424 269679730428 279667868592 309632283084 314626352166 353598196392 359572973904 361237663598 381241052136 412843044112 419501802888 464448424626 471464261856 471939528249 508321402848 539359460856 541856495397 559335737184 619264566168 629252704332 696672636939 707196392784 719145947808 722475327196 762482104272 825686088224 839003605776 928896849252 943879056498 1078718921712 1083712990794 1238529132336 1258505408664 1393345273878 1414392785568 1444950654392 1524964208544 1625569486191 1678007211552 1857793698504 1887758112996 2090017910817 2157437843424 2167425981588 2477058264672 2517010817328 2786690547756 2889901308784 3251138972382 3715587397008 3775516225992 4180035821634 4334851963176 4876708458573 5034021634656 5573381095512 5779802617568 6502277944764 7431174794016 7551032451984 8360071643268 8669703926352 9753416917146 11146762191024 13004555889528 14630125375719 15102064903968 16720143286536 17339407852704 19506833834292 22293524382048 26009111779056 29260250751438 33440286573072 39013667668584 52018223558112 58520501502876 66880573146144 78027335337168 117041003005752 156054670674336 234082006011504 468164012023008
- Sum of all divisors σ(n): 1634724715954176
- Sum of proper divisors (its aliquot sum) s(n): 1166560703931168
- 468164012023008 is an abundant number, because the sum of its proper divisors (1166560703931168) is greater than itself. Its abundance is 698396691908160
Bases of 468164012023008
- Binary: 11010100111001010111011011010001000011100111000002
- Hexadecimal: 0x1A9CAEDA21CE0
- Base-36: 4LY7KT4E00
Squares and roots of 468164012023008
- 468164012023008 squared (4681640120230082) is 219177542153479179176721368064
- 468164012023008 cubed (4681640120230083) is 102611037479914769171707981633468918004416512
-
The
square root of 468164012023008 is 21637098.0499467165 -
The
cube root of 468164012023008 is 77648.4293572911
Scales and comparisons
How big is 468164012023008?- 468,164,012,023,008 seconds is equal to 14,886,167 years, 23 weeks, 4 days, 23 hours, 16 minutes, 48 seconds.
-
To count from 1 to 468,164,012,023,008 would take you about thirty-seven million, two hundred fifteen thousand, four hundred eighteen 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 468164012023008 cubic inches would be around 6470.7 feet tall.
Recreational maths with 468164012023008
- 468164012023008 backwards is 800320210461864
- The number of decimal digits it has is: 15
- The sum of 468164012023008's digits is 45
- More coming soon!
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The information we have on file for 468164012023008 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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