12198442599148371517440
12,198,442,599,148,371,517,440 is an even composite number composed of five prime numbers multiplied together.
12198442599148371517440 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 12198442599148371517440:
213 × 33 × 5 × 17 × 648831241869871
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 648831241869871)See below for interesting mathematical facts about the number 12198442599148371517440 from the Numbermatics database.
Names of 12198442599148371517440
- Cardinal: 12198442599148371517440 can be written as Twelve sextillion, one hundred ninety-eight quintillion, four hundred forty-two quadrillion, five hundred ninety-nine trillion, one hundred forty-eight billion, three hundred seventy-one million, five hundred seventeen thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.219844259914837151744 × 1022
Factors of 12198442599148371517440
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 19
- Sum of prime factors: 648831241869898
Divisors of 12198442599148371517440
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 85 90 96 102 108 120 128 135 136 144 153 160 170 180 192 204 216 240 255 256 270 272 288 306 320 340 360 384 408 432 459 480 510 512 540 544 576 612 640 680 720 765 768 816 864 918 960 1020 1024 1080 1088 1152 1224 1280 1360 1440 1530 1536 1632 1728 1836 1920 2040 2048 2160 2176 2295 2304 2448 2560 2720 2880 3060 3072 3264 3456 3672 3840 4080 4096 4320 4352 4590 4608 4896 5120 5440 5760 6120 6144 6528 6912 7344 7680 8160 8192 8640 8704 9180 9216 9792 10240 10880 11520 12240 12288 13056 13824 14688 15360 16320 17280 17408 18360 18432 19584 20480 21760 23040 24480 24576 26112 27648 29376 30720 32640 34560 34816 36720 36864 39168 40960 43520 46080 48960 52224 55296 58752 61440 65280 69120 69632 73440 73728 78336 87040 92160 97920 104448 110592 117504 122880 130560 138240 139264 146880 156672 174080 184320 195840 208896 221184 235008 261120 276480 293760 313344 348160 368640 391680 417792 470016 522240 552960 587520 626688 696320 783360 940032 1044480 1105920 1175040 1253376 1566720 1880064 2088960 2350080 3133440 3760128 4700160 6266880 9400320 18800640 648831241869871 1297662483739742 1946493725609613 2595324967479484 3244156209349355 3892987451219226 5190649934958968 5839481176828839 6488312418698710 7785974902438452 9732468628048065 10381299869917936 11030131111787807 11678962353657678 12976624837397420 15571949804876904 17518443530486517 19464937256096130 20762599739835872 22060262223575614 23357924707315356 25953249674794840 29197405884144195 31143899609753808 33090393335363421 35036887060973034 38929874512192260 41525199479671744 44120524447151228 46715849414630712 51906499349589680 55150655558939035 58394811768288390 62287799219507616 66180786670726842 70073774121946068 77859749024384520 83050398959343488 87592217652432585 88241048894302456 93431698829261424 99271180006090263 103812998699179360 110301311117878070 116789623536576780 124575598439015232 132361573341453684 140147548243892136 155719498048769040 165451966676817105 166100797918686976 175184435304865170 176482097788604912 186863397658522848 198542360012180526 207625997398358720 220602622235756140 233579247073153560 249151196878030464 264723146682907368 280295096487784272 297813540018270789 311438996097538080 330903933353634210 332201595837373952 350368870609730340 352964195577209824 373726795317045696 397084720024361052 415251994796717440 441205244471512280 467158494146307120 496355900030451315 498302393756060928 529446293365814736 560590192975568544 595627080036541578 622877992195076160 661807866707268420 664403191674747904 700737741219460680 705928391154419648 747453590634091392 794169440048722104 830503989593434880 882410488943024560 934316988292614240 992711800060902630 996604787512121856 1058892586731629472 1121180385951137088 1191254160073083156 1245755984390152320 1323615733414536840 1328806383349495808 1401475482438921360 1411856782308839296 1489067700091353945 1494907181268182784 1588338880097444208 1661007979186869760 1764820977886049120 1868633976585228480 1985423600121805260 1993209575024243712 2117785173463258944 2242360771902274176 2382508320146166312 2491511968780304640 2647231466829073680 2657612766698991616 2802950964877842720 2823713564617678592 2978135400182707890 2989814362536365568 3176677760194888416 3322015958373739520 3529641955772098240 3737267953170456960 3970847200243610520 3986419150048487424 4235570346926517888 4484721543804548352 4765016640292332624 4983023937560609280 5294462933658147360 5315225533397983232 5605901929755685440 5647427129235357184 5956270800365415780 5979628725072731136 6353355520389776832 6644031916747479040 7059283911544196480 7474535906340913920 7941694400487221040 7972838300096974848 8471140693853035776 8969443087609096704 9530033280584665248 9966047875121218560 10588925867316294720 11211803859511370880 11294854258470714368 11912541600730831560 11959257450145462272 12706711040779553664 13288063833494958080 14118567823088392960 14949071812681827840 15883388800974442080 15945676600193949696 16942281387706071552 17938886175218193408 19060066561169330496 19932095750242437120 21177851734632589440 22423607719022741760 22589708516941428736 23825083201461663120 23918514900290924544 25413422081559107328 26576127666989916160 28237135646176785920 29898143625363655680 31766777601948884160 33884562775412143104 35877772350436386816 38120133122338660992 39864191500484874240 42355703469265178880 44847215438045483520 45179417033882857472 47650166402923326240 47837029800581849088 50826844163118214656 56474271292353571840 59796287250727311360 63533555203897768320 67769125550824286208 71755544700872773632 76240266244677321984 79728383000969748480 84711406938530357760 89694430876090967040 90358834067765714944 95300332805846652480 101653688326236429312 112948542584707143680 119592574501454622720 127067110407795536640 135538251101648572416 143511089401745547264 152480532489354643968 169422813877060715520 179388861752181934080 190600665611693304960 203307376652472858624 225897085169414287360 239185149002909245440 254134220815591073280 271076502203297144832 304961064978709287936 338845627754121431040 358777723504363868160 381201331223386609920 406614753304945717248 451794170338828574720 508268441631182146560 609922129957418575872 677691255508242862080 717555447008727736320 762402662446773219840 813229506609891434496 1016536883262364293120 1219844259914837151744 1355382511016485724160 1524805324893546439680 2033073766524728586240 2439688519829674303488 3049610649787092879360 4066147533049457172480 6099221299574185758720 12198442599148371517440
- Sum of all divisors σ(n): 45920745657593768056320
- Sum of proper divisors (its aliquot sum) s(n): 33722303058445396538880
- 12198442599148371517440 is an abundant number, because the sum of its proper divisors (33722303058445396538880) is greater than itself. Its abundance is 21523860459297025021440
Bases of 12198442599148371517440
- Binary: 101001010101000111011001011110000111001110011111110110101100100000000000002
- Hexadecimal: 0x2954765E1CE7F6B2000
- Base-36: 1ZIE1QBYIRBFUO0
Squares and roots of 12198442599148371517440
- 12198442599148371517440 squared (121984425991483715174402) is 148802001844717677678658748960307448224153600
- 12198442599148371517440 cubed (121984425991483715174403) is 1815152678141158681335512757587036751841675013381158302891638784000
-
The
square root of 12198442599148371517440 is 110446559924.4646981839 -
The
cube root of 12198442599148371517440 is 23019795.5593971919
Scales and comparisons
How big is 12198442599148371517440?- 12,198,442,599,148,371,517,440 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 12,198,442,599,148,371,517,440 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 12198442599148371517440 cubic inches would be around 1918316.3 feet tall.
Recreational maths with 12198442599148371517440
- 12198442599148371517440 backwards is 04471517384199524489121
- The number of decimal digits it has is: 23
- The sum of 12198442599148371517440's digits is 99
- More coming soon!
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The information we have on file for 12198442599148371517440 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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