2442746955509013120
2,442,746,955,509,013,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 2442746955509013120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2240 divisors.
2442746955509013120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 2442746955509013120:
27 × 3 × 5 × 11 × 194 × 316
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 19 × 19 × 19 × 19 × 31 × 31 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 2442746955509013120 from the Numbermatics database.
Names of 2442746955509013120
- Cardinal: 2442746955509013120 can be written as Two quintillion, four hundred forty-two quadrillion, seven hundred forty-six trillion, nine hundred fifty-five billion, five hundred nine million, thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.44274695550901312 × 1018
Factors of 2442746955509013120
Divisors of 2442746955509013120
- Number of divisors d(n): 2240
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 31 32 33 38 40 44 48 55 57 60 62 64 66 76 80 88 93 95 96 110 114 120 124 128 132 152 155 160 165 176 186 190 192 209 220 228 240 248 264 285 304 310 320 330 341 352 361 372 380 384 418 440 456 465 480 496 528 570 589 608 620 627 640 660 682 704 722 744 760 836 880 912 930 960 961 992 1023 1045 1056 1083 1140 1178 1216 1240 1254 1320 1364 1408 1444 1488 1520 1672 1705 1760 1767 1805 1824 1860 1920 1922 1984 2046 2090 2112 2166 2280 2356 2432 2480 2508 2640 2728 2883 2888 2945 2976 3040 3135 3344 3410 3520 3534 3610 3648 3720 3844 3968 3971 4092 4180 4224 4332 4560 4712 4805 4960 5016 5115 5280 5415 5456 5766 5776 5890 5952 6080 6270 6479 6688 6820 6859 7040 7068 7220 7296 7440 7688 7942 8184 8360 8664 8835 9120 9424 9610 9920 10032 10230 10560 10571 10830 10912 11191 11532 11552 11780 11904 11913 12160 12540 12958 13376 13640 13718 14136 14415 14440 14880 15376 15884 16368 16720 17328 17670 18240 18259 18848 19220 19437 19840 19855 20064 20460 20577 21120 21142 21660 21824 22382 23064 23104 23560 23826 25080 25916 26752 27280 27436 28272 28830 28880 29760 29791 30752 31713 31768 32395 32736 33440 33573 34295 34656 35340 36480 36518 37696 38440 38874 39710 40128 40920 41154 42284 43320 43648 44764 46128 46208 47120 47652 50160 51832 52855 54560 54777 54872 55955 56544 57660 57760 59520 59565 59582 61504 63426 63536 64790 65472 66880 67146 68590 69312 70680 73036 75392 75449 76880 77748 79420 80256 81840 82308 84568 86640 89373 89528 91295 92256 94240 95304 97185 100320 102885 103664 105710 109120 109554 109744 111910 113088 115320 115520 119130 119164 123008 123101 126852 127072 129580 130321 130944 133760 134292 137180 138624 141360 146072 148955 150898 153760 155496 158565 158840 163680 164616 167865 169136 173280 178746 179056 182590 184512 188480 190608 194370 200640 200849 205770 207328 211420 212629 218240 219108 219488 223820 226176 226347 230640 231040 238260 238328 246202 253704 254144 259160 260642 268584 273885 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81996138280320 82081550924362 84582650814024 84729342889664 86401632551960 89034369277920 89543510099304 91310816219685 94256326420320 97398203967664 102524425229120 103681959062352 105728313517530 105911678612080 109138904276160 111929387624130 112776867752032 115540013031360 115660367211601 118712492370560 119391346799072 121747754959580 123029310274944 123122326386543 125675101893760 127094014334496 129602448827940 133783172983680 133922530455538 138242612083136 140971084690040 146097305951496 149239183498840 153786637843680 158867517918120 164163101848724 169165301628048 169458685779328 172803265103920 178068738555840 179087020198608 182621632439370 188512652840640 194796407935328 200883795683307 205048850458240 205203877310905 207363918124704 211456627035060 211823357224160 218277808552320 223858775248260 225553735504064 231080026062720 231320734423202 238782693598144 243495509919160 246244652773086 254188028668992 259204897655880 267845060911076 276485224166272 281942169380080 292194611902992 298478366997680 307573275687360 317735035836240 328326203697448 334806326138845 338330603256096 345606530207840 346981101634803 356137477111680 358174040397216 365243264878740 377025305681280 389592815870656 401767591366614 410407754621810 414727836249408 422913254070120 423646714448320 447717550496520 451107471008128 462641468846404 477565387196288 486991019838320 492489305546172 508376057337984 518409795311760 535690121822152 563884338760160 578301836058005 584389223805984 596956733995360 615146551374720 615611631932715 635470071672480 656652407394896 669612652277690 676661206512192 691213060415680 693962203269606 716348080794432 730486529757480 779185631741312 803535182733228 820815509243620 829455672498816 845826508140240 847293428896640 895435100993040 925282937692808 973982039676640 984978611092344 1004418978416535 1036819590623520 1071380243644304 1127768677520320 1156603672116010 1168778447611968 1193913467990720 1231223263865430 1270940143344960 1272264039327611 1313304814789792 1339225304555380 1353322413024384 1382426120831360 1387924406539212 1432696161588864 1460973059514960 1607070365466456 1641631018487240 1691653016280480 1734905508174015 1790870201986080 1850565875385616 1947964079353280 1969957222184688 2008837956833070 2073639181247040 2142760487288608 2255537355040640 2313207344232020 2337556895223936 2387826935981440 2462446527730860 2541880286689920 2544528078655222 2626609629579584 2678450609110760 2775848813078424 2921946119029920 3214140730932912 3283262036974480 3383306032560960 3469811016348030 3581740403972160 3701131750771232 3816792117982833 3895928158706560 3939914444369376 4017675913666140 4147278362494080 4285520974577216 4626414688464040 4924893055461720 5089056157310444 5253219259159168 5356901218221520 5551697626156848 5843892238059840 6361320196638055 6428281461865824 6566524073948960 6766612065121920 6939622032696060 7163480807944320 7402263501542464 7633584235965666 7879828888738752 8035351827332280 8571041949154432 9252829376928080 9849786110923440 10178112314620888 10713802436443040 11103395252313696 11687784476119680 12722640393276110 12856562923731648 13133048147897920 13879244065392120 14804527003084928 15267168471931332 15759657777477504 16070703654664560 18505658753856160 19083960589914165 19699572221846880 20356224629241776 21427604872886080 22206790504627392 25445280786552220 25713125847463296 26266096295795840 27758488130784240 30534336943862664 32141407309329120 37011317507712320 38167921179828330 39399144443693760 40712449258483552 42855209745772160 44413581009254784 50890561573104440 55516976261568480 61068673887725328 64282814618658240 74022635015424640 76335842359656660 78798288887387520 81424898516967104 101781123146208880 111033952523136960 122137347775450656 128565629237316480 152671684719313320 162849797033934208 203562246292417760 222067905046273920 244274695550901312 305343369438626640 407124492584835520 488549391101802624 610686738877253280 814248985169671040 1221373477754506560 2442746955509013120
- Sum of all divisors σ(n): 9264854313065818080
- Sum of proper divisors (its aliquot sum) s(n): 6822107357556804960
- 2442746955509013120 is an abundant number, because the sum of its proper divisors (6822107357556804960) is greater than itself. Its abundance is 4379360402047791840
Bases of 2442746955509013120
- Binary: 100001111001100110000101101001111011110100100000011010100000002
- Hexadecimal: 0x21E66169EF481A80
- Base-36: IK49IZGCOQYO
Squares and roots of 2442746955509013120
- 2442746955509013120 squared (24427469555090131202) is 5967012688648552523129193556332134400
- 2442746955509013120 cubed (24427469555090131203) is 14575902078679902486759992934617805249443267487203328000
-
The
square root of 2442746955509013120 is 1562928966.8788575881 -
The
cube root of 2442746955509013120 is 1346768.1182946157 - Being both a perfect square and a perfect cube, 2442746955509013120 is also a
perfect sixth number .
Scales and comparisons
How big is 2442746955509013120?- 2,442,746,955,509,013,120 seconds is equal to 77,671,797,272 years, 38 weeks, 6 days, 5 hours, 52 minutes.
-
To count from 1 to 2,442,746,955,509,013,120 would take you about two hundred seventy-one billion, eight hundred fifty-one million, two hundred ninety thousand, four hundred fifty-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 2442746955509013120 cubic inches would be around 112230.7 feet tall.
Recreational maths with 2442746955509013120
- 2442746955509013120 backwards is 0213109055596472442
- The number of decimal digits it has is: 19
- The sum of 2442746955509013120's digits is 69
- More coming soon!
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Cite this page
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"Number 2442746955509013120 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 2442746955509013120 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/2442746955509013120/
Chicago style:
Numbermatics. 2024. "Number 2442746955509013120 - Facts about the integer". https://numbermatics.com/n/2442746955509013120/
The information we have on file for 2442746955509013120 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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