122422116483072
122,422,116,483,072 is an even composite number composed of five prime numbers multiplied together.
What does the number 122422116483072 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1140 divisors.
122422116483072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred forty divisors.
Prime factorization of 122422116483072:
218 × 34 × 7 × 31 × 1632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 31 × 163 × 163)See below for interesting mathematical facts about the number 122422116483072 from the Numbermatics database.
Names of 122422116483072
- Cardinal: 122422116483072 can be written as One hundred twenty-two trillion, four hundred twenty-two billion, one hundred sixteen million, four hundred eighty-three thousand and seventy-two.
Scientific notation
- Scientific notation: 1.22422116483072 × 1014
Factors of 122422116483072
Divisors of 122422116483072
- Number of divisors d(n): 1140
-
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 64 72 81 84 93 96 108 112 124 126 128 144 162 163 168 186 189 192 216 217 224 248 252 256 279 288 324 326 336 372 378 384 432 434 448 489 496 504 512 558 567 576 648 651 652 672 744 756 768 837 864 868 896 978 992 1008 1024 1116 1134 1141 1152 1296 1302 1304 1344 1467 1488 1512 1536 1674 1728 1736 1792 1953 1956 1984 2016 2048 2232 2268 2282 2304 2511 2592 2604 2608 2688 2934 2976 3024 3072 3348 3423 3456 3472 3584 3906 3912 3968 4032 4096 4401 4464 4536 4564 4608 5022 5053 5184 5208 5216 5376 5859 5868 5952 6048 6144 6696 6846 6912 6944 7168 7812 7824 7936 8064 8192 8802 8928 9072 9128 9216 10044 10106 10269 10368 10416 10432 10752 11718 11736 11904 12096 12288 13203 13392 13692 13824 13888 14336 15159 15624 15648 15872 16128 16384 17577 17604 17856 18144 18256 18432 20088 20212 20538 20736 20832 20864 21504 23436 23472 23808 24192 24576 26406 26569 26784 27384 27648 27776 28672 30318 30807 31248 31296 31744 32256 32768 35154 35208 35371 35712 36288 36512 36864 40176 40424 41076 41472 41664 41728 43008 45477 46872 46944 47616 48384 49152 52812 53138 53568 54768 55296 55552 57344 60636 61614 62496 62592 63488 64512 65536 70308 70416 70742 71424 72576 73024 73728 79707 80352 80848 82152 82944 83328 83456 86016 90954 92421 93744 93888 95232 96768 98304 105624 106113 106276 107136 109536 110592 111104 114688 121272 123228 124992 125184 126976 129024 131072 136431 140616 140832 141484 142848 145152 146048 147456 159414 160704 161696 164304 165888 166656 166912 172032 181908 184842 185983 187488 187776 190464 193536 196608 211248 212226 212552 214272 219072 221184 222208 229376 239121 242544 246456 249984 250368 253952 258048 262144 272862 281232 281664 282968 285696 290304 292096 294912 318339 318828 321408 323392 328608 331776 333312 333824 344064 363816 369684 371966 374976 375552 380928 387072 393216 409293 422496 424452 425104 428544 438144 442368 444416 458752 478242 485088 492912 499968 500736 507904 516096 545724 557949 562464 563328 565936 571392 580608 584192 589824 636678 637656 642816 646784 657216 663552 666624 667648 688128 717363 727632 739368 743932 749952 751104 761856 774144 786432 818586 823639 844992 848904 850208 857088 876288 884736 888832 917504 955017 956484 970176 985824 999936 1001472 1015808 1032192 1091448 1115898 1124928 1126656 1131872 1142784 1161216 1168384 1179648 1273356 1275312 1285632 1293568 1314432 1327104 1333248 1335296 1376256 1434726 1455264 1478736 1487864 1499904 1502208 1523712 1548288 1637172 1647278 1673847 1689984 1697808 1700416 1714176 1752576 1769472 1777664 1835008 1910034 1912968 1940352 1971648 1999872 2002944 2031616 2064384 2152089 2182896 2231796 2249856 2253312 2263744 2285568 2322432 2336768 2359296 2470917 2546712 2550624 2571264 2587136 2628864 2654208 2666496 2670592 2752512 2865051 2869452 2910528 2957472 2975728 2999808 3004416 3047424 3096576 3274344 3294556 3347694 3379968 3395616 3400832 3428352 3505152 3538944 3555328 3820068 3825936 3880704 3943296 3999744 4005888 4063232 4128768 4304178 4365792 4463592 4499712 4506624 4527488 4571136 4644864 4673536 4941834 5021541 5093424 5101248 5142528 5174272 5257728 5308416 5332992 5341184 5505024 5730102 5738904 5765473 5821056 5914944 5951456 5999616 6008832 6094848 6193152 6548688 6589112 6695388 6759936 6791232 6801664 6856704 7010304 7077888 7110656 7412751 7640136 7651872 7761408 7886592 7999488 8011776 8126464 8257536 8608356 8731584 8927184 8999424 9013248 9054976 9142272 9289728 9347072 9883668 10043082 10186848 10202496 10285056 10348544 10515456 10616832 10665984 10682368 11460204 11477808 11530946 11642112 11829888 11902912 11999232 12017664 12189696 12386304 13097376 13178224 13390776 13519872 13582464 13603328 13713408 14020608 14221312 14825502 15064623 15280272 15303744 15522816 15773184 15998976 16023552 16515072 17216712 17296419 17463168 17854368 17998848 18026496 18109952 18284544 18579456 18694144 19767336 20086164 20373696 20404992 20570112 20697088 21030912 21233664 21331968 21364736 22238253 22920408 22955616 23061892 23284224 23659776 23805824 23998464 24035328 24379392 24772608 26194752 26356448 26781552 27039744 27164928 27206656 27426816 28041216 28442624 29651004 30129246 30560544 30607488 31045632 31546368 31997952 32047104 34433424 34592838 34926336 35708736 35997696 36052992 36219904 36569088 37158912 37388288 39534672 40172328 40747392 40809984 41140224 41394176 42061824 42663936 42729472 44476506 45840816 45911232 46123784 46568448 47319552 47611648 47996928 48070656 49545216 51889257 52389504 52712896 53563104 54079488 54329856 54413312 54853632 56082432 56885248 59302008 60258492 61121088 61214976 62091264 63092736 63995904 64094208 66714759 68866848 69185676 69852672 71417472 71995392 72105984 72439808 73138176 74317824 74776576 79069344 80344656 81494784 81619968 82280448 82788352 84123648 85327872 88953012 91681632 91822464 92247568 93136896 94639104 95223296 95993856 96141312 103778514 104779008 105425792 107126208 108158976 108659712 108826624 109707264 112164864 118604016 120516984 122242176 122429952 124182528 126185472 127991808 128188416 133429518 137733696 138371352 139705344 142834944 143990784 144211968 144879616 148635648 149553152 155667771 158138688 160689312 162989568 163239936 164560896 165576704 168247296 170655744 177906024 183363264 183644928 184495136 186273792 189278208 190446592 191987712 192282624 207557028 209558016 210851584 214252416 216317952 217319424 217653248 219414528 224329728 237208032 241033968 244484352 244859904 248365056 252370944 255983616 266859036 275467392 276742704 279410688 285669888 287981568 288423936 289759232 299106304 311335542 316277376 321378624 325979136 326479872 329121792 331153408 336494592 355812048 366726528 367289856 368990272 372547584 378556416 380893184 383975424 384565248 415114056 419116032 421703168 428504832 432635904 434638848 435306496 448659456 467003313 474416064 482067936 488968704 489719808 496730112 504741888 511967232 533718072 550934784 553485408 558821376 571339776 575963136 576847872 579518464 622671084 632554752 642757248 651958272 652959744 658243584 662306816 672989184 711624096 733453056 734579712 737980544 745095168 757112832 761786368 767950848 830228112 838232064 843406336 857009664 865271808 869277696 870612992 897318912 934006626 948832128 964135872 977937408 979439616 993460224 1009483776 1067436144 1101869568 1106970816 1117642752 1142679552 1151926272 1153695744 1159036928 1245342168 1265109504 1285514496 1303916544 1305919488 1324613632 1345978368 1423248192 1466906112 1469159424 1475961088 1490190336 1514225664 1523572736 1535901696 1660456224 1676464128 1686812672 1714019328 1730543616 1738555392 1741225984 1868013252 1897664256 1928271744 1955874816 1958879232 1986920448 2018967552 2134872288 2203739136 2213941632 2235285504 2285359104 2303852544 2318073856 2490684336 2530219008 2571028992 2607833088 2611838976 2691956736 2846496384 2933812224 2938318848 2951922176 2980380672 3028451328 3047145472 3320912448 3352928256 3373625344 3428038656 3461087232 3477110784 3482451968 3736026504 3795328512 3856543488 3911749632 3917758464 3973840896 4037935104 4269744576 4407478272 4427883264 4470571008 4570718208 4607705088 4636147712 4981368672 5060438016 5142057984 5215666176 5223677952 5692992768 5867624448 5876637696 5903844352 5960761344 6056902656 6094290944 6641824896 6705856512 6747250688 6856077312 6954221568 6964903936 7472053008 7590657024 7713086976 7823499264 7835516928 8075870208 8539489152 8814956544 8855766528 8941142016 9141436416 9272295424 9962737344 10120876032 10284115968 10431332352 10447355904 11385985536 11735248896 11753275392 11807688704 11921522688 12113805312 12188581888 13283649792 13411713024 13494501376 13712154624 13908443136 14944106016 15181314048 15426173952 15646998528 15671033856 17078978304 17629913088 17711533056 17882284032 18282872832 19925474688 20241752064 20568231936 20862664704 20894711808 22771971072 23470497792 23506550784 23615377408 24227610624 24377163776 26567299584 26823426048 26989002752 27424309248 27816886272 29888212032 30362628096 30852347904 31293997056 31342067712 34157956608 35259826176 35423066112 35764568064 36565745664 39850949376 40483504128 41136463872 41725329408 45543942144 46940995584 47013101568 47230754816 48754327552 53134599168 53646852096 53978005504 54848618496 59776424064 60725256192 61704695808 62587994112 62684135424 68315913216 70519652352 70846132224 73131491328 79701898752 80967008256 82272927744 83450658816 91087884288 93881991168 94026203136 94461509632 106269198336 107293704192 107956011008 109697236992 119552848128 121450512384 123409391616 125175988224 136631826432 141039304704 141692264448 146262982656 159403797504 161934016512 164545855488 182175768576 187763982336 188052406272 188923019264 212538396672 215912022016 219394473984 239105696256 242901024768 246818783232 250351976448 273263652864 282078609408 283384528896 318807595008 323868033024 329091710976 364351537152 375527964672 377846038528 425076793344 438788947968 478211392512 485802049536 493637566464 546527305728 564157218816 566769057792 637615190016 647736066048 658183421952 728703074304 751055929344 755692077056 850153586688 956422785024 971604099072 987275132928 1093054611456 1133538115584 1275230380032 1316366843904 1457406148608 1511384154112 1700307173376 1912845570048 1943208198144 1974550265856 2186109222912 2267076231168 2550460760064 2914812297216 3400614346752 3825691140096 3949100531712 4372218445824 4534152462336 5100921520128 5829624594432 6801228693504 7651382280192 8744436891648 10201843040256 13602457387008 15302764560384 17488873783296 20403686080512 30605529120768 40807372161024 61211058241536 122422116483072
- Sum of all divisors σ(n): 434152317156096
- Sum of proper divisors (its aliquot sum) s(n): 311730200673024
- 122422116483072 is an abundant number, because the sum of its proper divisors (311730200673024) is greater than itself. Its abundance is 189308084189952
Bases of 122422116483072
- Binary: 110111101010111100111101100010000000000000000002
- Hexadecimal: 0x6F579EC40000
- Base-36: 17E7XZB400
Squares and roots of 122422116483072
- 122422116483072 squared (1224221164830722) is 14987174604194849074062557184
- 122422116483072 cubed (1224221164830723) is 1834761635146880310344993098741828967989248
-
The
square root of 122422116483072 is 11064452.8325205491 -
The
cube root of 122422116483072 is 49653.8919096141
Scales and comparisons
How big is 122422116483072?- 122,422,116,483,072 seconds is equal to 3,892,644 years, 32 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 122,422,116,483,072 would take you about nine million, seven hundred thirty-one thousand, six hundred eleven 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 122422116483072 cubic inches would be around 4137.8 feet tall.
Recreational maths with 122422116483072
- 122422116483072 backwards is 270384611224221
- The number of decimal digits it has is: 15
- The sum of 122422116483072's digits is 45
- More coming soon!
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The information we have on file for 122422116483072 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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