45094309766840320

Names of 45094309766840320

• Cardinal: 45094309766840320 can be written as Forty-five quadrillion, ninety-four trillion, three hundred nine billion, seven hundred sixty-six million, eight hundred forty thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.509430976684032 × 10¹⁶

Factors of 45094309766840320

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 77520

Divisors of 45094309766840320

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 137 140 160 170 224 238 256 272 274 280 320 340 439 448 476 512 544 548 560 595 640 680 685 878 896 952 959 1024 1088 1096 1120 1190 1280 1360 1370 1756 1792 1904 1918 2048 2176 2192 2195 2240 2329 2380 2560 2720 2740 3073 3512 3584 3808 3836 4096 4352 4384 4390 4480 4658 4760 4795 5120 5440 5480 6146 7024 7168 7463 7616 7672 8192 8704 8768 8780 8960 9316 9520 9590 10240 10880 10960 11645 12292 14048 14336 14926 15232 15344 15365 16303 16384 17408 17536 17560 17920 18632 19040 19180 20480 21760 21920 23290 24584 28096 28672 29852 30464 30688 30730 32606 34816 35072 35120 35840 37264 37315 38080 38360 40960 43520 43840 46580 49168 52241 56192 57344 59704 60143 60928 61376 61460 65212 69632 70144 70240 71680 74528 74630 76160 76720 76913 81515 81920 87040 87680 93160 98336 104482 112384 114688 119408 120286 121856 122752 122920 130424 139264 140288 140480 143360 149056 149260 152320 153440 153826 163030 174080 175360 186320 196672 208964 224768 238816 240572 243712 245504 245840 260848 261205 278528 280576 280960 286720 298112 298520 300715 304640 306880 307652 326060 348160 350720 372640 384565 393344 417928 421001 449536 477632 481144 487424 491008 491680 521696 522410 538391 561152 561920 573440 596224 597040 601430 609280 613760 615304 652120 696320 701440 745280 769130 786688 835856 842002 899072 955264 962288 974848 982016 983360 1022431 1043392 1044820 1076782 1122304 1123840 1192448 1194080 1202860 1218560 1227520 1230608 1304240 1307521 1392640 1402880 1490560 1538260 1573376 1671712 1684004 1798144 1910528 1924576 1949696 1964032 1966720 2044862 2086784 2089640 2105005 2153564 2244608 2247680 2384896 2388160 2405720 2437120 2455040 2461216 2608480 2615042 2691955 2805760 2981120 3076520 3146752 3343424 3368008 3596288 3821056 3849152 3928064 3933440 4089724 4173568 4179280 4210010 4307128 4495360 4769792 4776320 4811440 4874240 4910080 4922432 5112155 5216960 5230084 5383910 5611520 5962240 6153040 6293504 6537605 6686848 6736016 7157017 7192576 7642112 7698304 7856128 7866880 8179448 8347136 8358560 8420020 8614256 8990720 9152647 9539584 9552640 9622880 9748480 9820160 9844864 10224310 10433920 10460168 10537081 10767820 11223040 11924480 12306080 12587008 13075210 13373696 13472032 14314034 15284224 15396608 15712256 15733760 16358896 16694272 16717120 16840040 17228512 17981440 18305294 19079168 19105280 19245760 19640320 19689728 20448620 20867840 20920336 21074162 21535640 23848960 24612160 25174016 26150420 26747392 26944064 28628068 30568448 30793216 31467520 32717792 33388544 33434240 33680080 33764807 34457024 35785085 35962880 36610588 38158336 38210560 38491520 39280640 39379456 40897240 41735680 41840672 42148324 43071280 45763235 47697920 49224320 50348032 52300840 52685405 53494784 53888128 57256136 61136896 61586432 62935040 65435584 66777088 66868480 67360160 67529614 68914048 71570170 73221176 73759567 76421120 76983040 78561280 78758912 81794480 83471360 83681344 84296648 86142560 91526470 95395840 98448640 104601680 105370810 106989568 107776256 114512272 122273792 123172864 125870080 130871168 133554176 133736960 134720320 135059228 137828096 143140340 146442352 147519134 152842240 153966080 157517824 163588960 166942720 167362688 168593296 168824035 172285120 179130377 183052940 190791680 196897280 209203360 210741620 213979136 215552512 229024544 236353649 246345728 251740160 261742336 267108352 267473920 269440640 270118456 275656192 286280680 292884704 295038268 305684480 307932160 315035648 327177920 333885440 334725376 337186592 337648070 344570240 358260754 366105880 368797835 393794560 418406720 421483240 427958272 431105024 458049088 472707298 492691456 523484672 534947840 538881280 540236912 551312384 572561360 574001719 585769408 590076536 611368960 615864320 630071296 654355840 667770880 669450752 674373184 675296140 689140480 716521508 732211760 737595670 787589120 836813440 842966480 855916544 862210048 895651885 916098176 945414596 985382912 1046969344 1069895680 1077762560 1080473824 1102624768 1145122720 1148003438 1171538816 1180153072 1181768245 1231728640 1253912639 1260142592 1308711680 1335541760 1338901504 1348746368 1350592280 1378280960 1433043016 1464423520 1475191340 1575178240 1673626880 1685932960 1724420096 1791303770 1832196352 1890829192 2093938688 2139791360 2155525120 2160947648 2205249536 2290245440 2296006876 2343077632 2360306144 2363536490 2463457280 2507825278 2617423360 2677803008 2697492736 2701184560 2756561920 2866086032 2870008595 2928847040 2950382680 3150356480 3347253760 3371865920 3448840192 3582607540 3664392704 3781658384 4018012033 4187877376 4279582720 4311050240 4321895296 4410499072 4580490880 4592013752 4625778559 4686155264 4720612288 4727072980 4926914560 5015650556 5234846720 5355606016 5394985472 5402369120 5513123840 5732172064 5740017190 5857694080 5900765360 6269563195 6300712960 6694507520 6743731840 6897680384 7165215080 7328785408 7563316768 8036024066 8375754752 8622100480 8643790592 8820998144 9160981760 9184027504 9251557118 9372310528 9441224576 9454145960 10031301112 10469693440 10711212032 10789970944 10804738240 11026247680 11464344128 11480034380 11715388160 11801530720 12539126390 13389015040 13487463680 14330430160 14657570816 15126633536 16072048132 16751509504 17244200960 17287581184 18321963520 18368055008 18503114236 18744621056 18882449152 18908291920 20062602224 20090060165 20939386880 21422424064 21579941888 21609476480 22052495360 22928688256 22960068760 23128892795 23430776320 23603061440 25078252780 26778030080 26974927360 28660860320 29315141632 30253267072 32144096264 32380449913 34488401920 34575162368 36643927040 36736110016 37006228472 37489242112 37764898304 37816583840 40125204448 40180120330 41878773760 43159883776 43218952960 44104990720 45857376512 45920137520 46257785590 46861552640 47206122880 50156505560 53556060160 53949854720 57321720640 58630283264 60506534144 64288192528 64760899826 69150324736 73287854080 73472220032 74012456944 74978484224 75529796608 75633167680 78638235503 80250408896 80360240660 83757547520 86319767552 86437905920 91714753024 91840275040 92515571180 93723105280 94412245760 100313011120 107112120320 107899709440 114643441280 117260566528 121013068288 128576385056 129521799652 138300649472 146575708160 146944440064 148024913888 149956968448 151059593216 151266335360 157276471006 160500817792 160720481320 161902249565 172639535104 172875811840 183429506048 183680550080 185031142360 187446210560 188824491520 200626022240 215799418880 229286882560 242026136576 257152770112 259043599304 276601298944 293151416320 293888880128 296049827776 302119186432 302532670720 314552942012 321001635584 321440962640 323804499130 345751623680 366859012096 367361100160 370062284720 374892421120 377648983040 393191177515 401252044480 431598837760 458573765120 484052273152 514305540224 518087198608 550467648521 553202597888 586302832640 587777760256 592099655552 604238372864 605065341440 629105884024 642003271168 642881925280 647608998260 691503247360 733718024192 734722200320 740124569440 749784842240 755297966080 786382355030 802504088960 863197675520 917147530240 968104546304 1028611080448 1036174397216 1100935297042 1175555520512 1184199311104 1208476745728 1210130682880 1258211768048 1284006542336 1285763850560 1295217996520 1383006494720 1467436048384 1469444400640 1480249138880 1510595932160 1572764710060 1605008177920 1834295060480 1936209092608 2057222160896 2072348794432 2201870594084 2351111041024 2368398622208 2420261365760 2516423536096 2568013084672 2571527701120 2590435993040 2752338242605 2766012989440 2934872096768 2938888801280 2960498277760 3021191864320 3145529420120 3210016355840 3668590120960 3872418185216 4114444321792 4144697588864 4403741188168 4702222082048 4736797244416 4840522731520 5032847072192 5136026169344 5143055402240 5180871986080 5504676485210 5877777602560 5920996555520 6042383728640 6291058840240 6420032711680 7337180241920 8228888643584 8289395177728 8807482376336 9404444164096 9473594488832 9681045463040 10065694144384 10272052338688 10286110804480 10361743972160 11009352970420 11755555205120 11841993111040 12582117680480 12840065423360 14674360483840 16457777287168 16578790355456 17614964752672 18947188977664 19362090926080 20131388288768 20544104677376 20572221608960 20723487944320 22018705940840 23511110410240 23683986222080 25164235360960 25680130846720 32915554574336 33157580710912 35229929505344 37894377955328 40262776577536 41144443217920 41446975888640 44037411881680 47022220820480 47367972444160 50328470721920 51360261693440 65831109148672 66315161421824 70459859010688 75788755910656 80525553155072 82288886435840 82893951777280 88074823763360 94735944888320 100656941443840 102720523386880 132630322843648 140919718021376 161051106310144 164577772871680 165787903554560 176149647526720 189471889776640 201313882887680 265260645687296 281839436042752 322102212620288 329155545743360 331575807109120 352299295053440 378943779553280 402627765775360 530521291374592 563678872085504 644204425240576 663151614218240 704598590106880 805255531550720 1127357744171008 1288408850481152 1326303228436480 1409197180213760 1610511063101440 2254715488342016 2652606456872960 2818394360427520 3221022126202880 4509430976684032 5636788720855040 6442044252405760 9018861953368064 11273577441710080 22547154883420160 45094309766840320
• Sum of all divisors σ(n): 132217086954839040
• Sum of proper divisors (its aliquot sum) s(n): 87122777187998720
• 45094309766840320 is an abundant number, because the sum of its proper divisors (87122777187998720) is greater than itself. Its abundance is 42028467421158400

Bases of 45094309766840320

• Binary: 10100000001101010000100100101011000010110100000000000000₂
• Hexadecimal: 0xA035092B0B4000
• Base-36: CC0LJX2LNGG

Squares and roots of 45094309766840320

• 45094309766840320 squared (45094309766840320²) is 2033496773347750275521836377702400
• 45094309766840320 cubed (45094309766840320³) is 91699133407213731772173118424805910506549280768000
• The square root of 45094309766840320 is 212354208.2626108921
• The cube root of 45094309766840320 is 355937.6383812579

Scales and comparisons

• 45,094,309,766,840,320 seconds is equal to 1,433,859,564 years, 37 weeks, 5 days, 15 hours, 38 minutes, 40 seconds.
• To count from 1 to 45,094,309,766,840,320 would take you about four billion, three hundred one million, five hundred seventy-eight thousand, six hundred ninety-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 45094309766840320 cubic inches would be around 29661.5 feet tall.

Recreational maths with 45094309766840320

• 45094309766840320 backwards is 02304866790349054
• 45094309766840320 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 45094309766840320's digits is 70
• More coming soon!