216361431067729920

Names of 216361431067729920

• Cardinal: 216361431067729920 can be written as Two hundred sixteen quadrillion, three hundred sixty-one trillion, four hundred thirty-one billion, sixty-seven million, seven hundred twenty-nine thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 2.1636143106772992 × 10¹⁷

Factors of 216361431067729920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 33540

Divisors of 216361431067729920

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1024 1049 1120 1280 1344 1536 1680 1792 1920 2048 2098 2240 2560 2688 3072 3147 3360 3584 3840 4096 4196 4480 5120 5245 5376 6144 6294 6720 7168 7343 7680 8192 8392 8960 10240 10490 10752 11353 12288 12588 13440 14336 14686 15360 15735 16784 17920 20480 20980 21121 21504 22029 22706 24576 25176 26880 28672 29372 30720 31470 33568 34059 35840 36715 40960 41960 42242 43008 44058 45412 50352 53760 56765 57344 58744 61440 62940 63363 67136 68118 71680 73430 79471 83920 84484 86016 88116 90824 100704 105605 107520 110145 113530 117488 122880 125880 126726 134272 136236 143360 146860 147847 158942 167840 168968 170295 172032 176232 181648 201408 211210 215040 220290 227060 234976 238413 251760 253452 268544 272472 286720 293720 295694 316815 317884 335680 337936 340590 352464 363296 397355 402816 422420 430080 440580 443541 454120 469952 476826 503520 506904 537088 544944 587440 591388 633630 635768 671360 675872 681180 704928 726592 739235 794710 805632 844840 860160 881160 887082 908240 939904 953652 1007040 1013808 1074176 1089888 1174880 1182776 1192065 1267260 1271536 1342720 1351744 1362360 1409856 1453184 1478470 1589420 1611264 1689680 1762320 1774164 1816480 1879808 1907304 2014080 2027616 2148352 2179776 2217705 2349760 2365552 2384130 2534520 2543072 2685440 2703488 2724720 2819712 2906368 2956940 3178840 3222528 3379360 3524640 3548328 3632960 3759616 3814608 4028160 4055232 4296704 4359552 4435410 4699520 4731104 4768260 5069040 5086144 5370880 5406976 5449440 5639424 5812736 5913880 6357680 6445056 6758720 7049280 7096656 7265920 7519232 7629216 8056320 8110464 8593408 8719104 8870820 9399040 9462208 9536520 10138080 10172288 10741760 10813952 10898880 11278848 11625472 11827760 11909297 12715360 12890112 13517440 14098560 14193312 14531840 15038464 15258432 16112640 16220928 17438208 17741640 18798080 18924416 19073040 20276160 20344576 21483520 21627904 21797760 22155929 22557696 23250944 23655520 23818594 25430720 25780224 27034880 28197120 28386624 29063680 30076928 30516864 32225280 32441856 34876416 35483280 35727891 37596160 37848832 38146080 40552320 40689152 42967040 43255808 43595520 44311858 45115392 46501888 47311040 47637188 50861440 54069760 56394240 56773248 58127360 59546485 60153856 61033728 64450560 64883712 66467787 69752832 70966560 71455782 75192320 75697664 76292160 81104640 81378304 83365079 86511616 87191040 88623716 90230784 93003776 94622080 95274376 101722880 108139520 110779645 112788480 113546496 116254720 119092970 122067456 128901120 129767424 132935574 139505664 141933120 142911564 150384640 151395328 152584320 155091503 162209280 162756608 166730158 173023232 174382080 177247432 178639455 180461568 189244160 190548752 203445760 216279040 221559290 225576960 227092992 232509440 238185940 239786713 244134912 250095237 259534848 265871148 279011328 283866240 285823128 300769280 302790656 305168640 310183006 324418560 325513216 332338935 333460316 348764160 354494864 357278910 378488320 381097504 406891520 416825395 432558080 443118580 451153920 454185984 465018880 465274509 476371880 479573426 488269824 500190474 519069696 531742296 567732480 571646256 605581312 610337280 620366012 648837120 651026432 664677870 666920632 697528320 708989728 714557820 719360139 756976640 762195008 775457515 813783040 833650790 865116160 886237160 902307840 908371968 930549018 952743760 959146852 976539648 1000380948 1063484592 1135464960 1143292512 1198933565 1211162624 1220674560 1240732024 1250476185 1297674240 1329355740 1333841264 1395056640 1417979456 1429115640 1438720278 1513953280 1524390016 1550915030 1627566080 1667301580 1678506991 1772474320 1816743936 1861098036 1905487520 1918293704 1953079296 2000761896 2126969184 2270929920 2286585024 2326372545 2397867130 2441349120 2481464048 2500952370 2595348480 2658711480 2667682528 2835958912 2858231280 2877440556 3027906560 3048780032 3101830060 3255132160 3334603160 3357013982 3544948640 3596800695 3633487872 3722196072 3810975040 3836587408 4001523792 4253938368 4541859840 4573170048 4652745090 4795734260 4882698240 4962928096 5001904740 5035520973 5317422960 5335365056 5671917824 5716462560 5754881112 6055813120 6097560064 6203660120 6669206320 6714027964 7089897280 7193601390 7444392144 7621950080 7673174816 8003047584 8392534955 8507876736 9083719680 9146340096 9305490180 9591468520 9765396480 9925856192 10003809480 10071041946 10634845920 10670730112 11343835648 11432925120 11509762224 12195120128 12407320240 13338412640 13428055928 14179794560 14387202780 14888784288 15243900160 15346349632 16006095168 16785069910 17015753472 18167439360 18292680192 18610980360 19182937040 19851712384 20007618960 20142083892 21269691840 21341460224 22687671296 22865850240 23019524448 24390240256 24814640480 25177604865 26676825280 26856111856 28359589120 28774405560 29777568576 30487800320 30692699264 32012190336 33570139820 34031506944 36585360384 37221960720 38365874080 39703424768 40015237920 40284167784 42539383680 42682920448 45375342592 45731700480 46039048896 48780480512 49629280960 50355209730 53353650560 53712223712 56719178240 57548811120 59555137152 60975600640 61385398528 64024380672 67140279640 68063013888 73170720768 74443921440 76731748160 79406849536 80030475840 80568335568 85078767360 85365840896 90750685184 91463400960 92078097792 97560961024 99258561920 100710419460 106707301120 107424447424 113438356480 115097622240 119110274304 121951201280 122770797056 128048761344 134280559280 136126027776 146341441536 148887842880 153463496320 158813699072 160060951680 161136671136 170157534720 170731681792 181501370368 182926801920 184156195584 198517123840 201420838920 213414602240 214848894848 226876712960 230195244480 238220548608 243902402560 245541594112 251536261937 256097522688 268561118560 272252055552 292682883072 297775685760 306926992640 317627398144 320121903360 322273342272 340315069440 341463363584 365853603840 368312391168 397034247680 402841677840 426829204480 429697789696 453753425920 460390488960 476441097216 487804805120 491083188224 503072523874 512195045376 537122237120 544504111104 595551371520 613853985280 635254796288 640243806720 644546684544 680630138880 682926727168 731707207680 736624782336 754608785811 794068495360 805683355680 853658408960 859395579392 907506851840 920780977920 952882194432 982166376448 1006145047748 1024390090752 1074244474240 1191102743040 1227707970560 1257681309685 1270509592576 1280487613440 1289093369088 1361260277760 1463414415360 1473249564672 1509217571622 1588136990720 1611366711360 1707316817920 1718791158784 1760753833559 1841561955840 1905764388864 1964332752896 2012290095496 2048780181504 2148488948480 2382205486080 2455415941120 2515362619370 2560975226880 2578186738176 2722520555520 2946499129344 3018435143244 3176273981440 3222733422720 3414633635840 3437582317568 3521507667118 3683123911680 3773043929055 3811528777728 4024580190992 4296977896960 4764410972160 4910831882240 5030725238740 5121950453760 5156373476352 5282261500677 5892998258688 6036870286488 6352547962880 6445466845440 6875164635136 7043015334236 7366247823360 7546087858110 8049160381984 8593955793920 8803769167795 9528821944320 9821663764480 10061450477480 10243900907520 10312746952704 10564523001354 12073740572976 12890933690880 13750329270272 14086030668472 14732495646720 15092175716220 16098320763968 17187911587840 17607538335590 19057643888640 20122900954960 20625493905408 21129046002708 24147481145952 25781867381760 26411307503385 28172061336944 29464991293440 30184351432440 32196641527936 34375823175680 35215076671180 40245801909920 41250987810816 42258092005416 48294962291904 51563734763520 52822615006770 56344122673888 60368702864880 64393283055872 68751646351360 70430153342360 80491603819840 84516184010832 96589924583808 103127469527040 105645230013540 112688245347776 120737405729760 128786566111744 140860306684720 160983207639680 169032368021664 193179849167616 206254939054080 211290460027080 225376490695552 241474811459520 257573132223488 281720613369440 321966415279360 338064736043328 386359698335232 422580920054160 450752981391104 482949622919040 515146264446976 563441226738880 643932830558720 676129472086656 772719396670464 845161840108320 901505962782208 965899245838080 1030292528893952 1126882453477760 1287865661117440 1352258944173312 1545438793340928 1690323680216640 1803011925564416 1931798491676160 2060585057787904 2253764906955520 2575731322234880 2704517888346624 3090877586681856 3380647360433280 3606023851128832 3863596983352320 4507529813911040 5151462644469760 5409035776693248 6181755173363712 6761294720866560 7212047702257664 7727193966704640 9015059627822080 10302925288939520 10818071553386496 13522589441733120 14424095404515328 15454387933409280 18030119255644160 21636143106772992 27045178883466240 30908775866818560 36060238511288320 43272286213545984 54090357766932480 72120477022576640 108180715533864960 216361431067729920
• Sum of all divisors σ(n): 792077883812006400
• Sum of proper divisors (its aliquot sum) s(n): 575716452744276480
• 216361431067729920 is an abundant number, because the sum of its proper divisors (575716452744276480) is greater than itself. Its abundance is 359355021676546560

Bases of 216361431067729920

• Binary: 1100000000101010111001001101000001111000110010000000000000₂
• Hexadecimal: 0x300AB9341E32000
• Base-36: 1N6DQ59N4BUO

Squares and roots of 216361431067729920

• 216361431067729920 squared (216361431067729920²) is 46812268853676045830018382063206400
• 216361431067729920 cubed (216361431067729920³) is 10128369480708670110682330189483547768028804415488000
• The square root of 216361431067729920 is 465146676.9393606235
• The cube root of 216361431067729920 is 600334.4719089703

Scales and comparisons

• 216,361,431,067,729,920 seconds is equal to 6,879,624,258 years, 5 weeks, 3 days, 13 hours, 52 minutes.
• To count from 1 to 216,361,431,067,729,920 would take you about twenty billion, six hundred thirty-eight million, eight hundred seventy-two thousand, seven hundred seventy-four 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 216361431067729920 cubic inches would be around 50027.9 feet tall.

Recreational maths with 216361431067729920

• 216361431067729920 backwards is 029927760134163612
• The number of decimal digits it has is: 18
• The sum of 216361431067729920's digits is 69
• More coming soon!