122742002292117390
122,742,002,292,117,390 is an even composite number composed of nine prime numbers multiplied together.
What does the number 122742002292117390 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1152 divisors.
122742002292117390 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 122742002292117390:
2 × 32 × 5 × 72 × 13 × 37 × 271 × 1093 × 195353
(2 × 3 × 3 × 5 × 7 × 7 × 13 × 37 × 271 × 1093 × 195353)See below for interesting mathematical facts about the number 122742002292117390 from the Numbermatics database.
Names of 122742002292117390
- Cardinal: 122742002292117390 can be written as One hundred twenty-two quadrillion, seven hundred forty-two trillion, two billion, two hundred ninety-two million, one hundred seventeen thousand, three hundred ninety.
Scientific notation
- Scientific notation: 1.2274200229211739 × 1017
Factors of 122742002292117390
Divisors of 122742002292117390
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 37 39 42 45 49 63 65 70 74 78 90 91 98 105 111 117 126 130 147 182 185 195 210 222 234 245 259 271 273 294 315 333 370 390 441 455 481 490 518 542 546 555 585 630 637 666 735 777 813 819 882 910 962 1093 1110 1170 1274 1295 1355 1365 1443 1470 1554 1626 1638 1665 1813 1897 1911 2186 2205 2331 2405 2439 2590 2710 2730 2886 3185 3279 3330 3367 3523 3626 3794 3822 3885 4065 4095 4329 4410 4662 4810 4878 5439 5465 5691 5733 6370 6558 6734 7046 7215 7651 7770 8130 8190 8658 9065 9485 9555 9837 10027 10101 10569 10878 10930 11382 11466 11655 12195 13279 14209 14430 15302 16317 16395 16835 17073 17615 18130 18970 19110 19674 20054 20202 21138 21645 22953 23310 23569 24390 24661 26558 27195 28418 28455 28665 30081 30303 31707 32634 32790 33670 34146 35230 38255 39837 40441 42627 43290 45906 47138 49185 49322 50135 50505 52845 53557 54390 56910 57330 60162 60606 63414 66395 68859 70189 70707 71045 73983 76510 79674 80882 81585 85254 85365 90243 98370 99463 100270 101010 105690 107114 114765 117845 119511 121323 123305 127881 130351 132790 137718 140378 141414 142090 147966 150405 151515 158535 160671 163170 170730 172627 180486 195353 198926 199185 202205 210567 212121 213135 221949 229530 235690 239022 242646 246610 255762 260702 267785 283087 296203 298389 300810 303030 317070 321342 344295 345254 350945 353535 363969 369915 390706 391053 398370 404410 421134 424242 426270 443898 451215 482013 491323 497315 517881 525733 535570 566174 586059 592406 596778 597555 606615 631701 639405 651755 688590 696241 701890 707070 727938 739830 782106 803355 849261 863135 888609 895167 902430 912457 964026 976765 982646 994630 1035762 1051466 1052835 1060605 1109745 1172118 1173159 1195110 1213230 1263402 1278810 1303510 1367471 1392482 1415435 1473969 1481015 1491945 1553643 1577199 1606710 1698522 1726270 1758177 1777218 1790334 1819845 1824914 1953530 1955265 1981609 2073421 2088723 2105670 2121210 2219490 2346318 2410065 2456615 2539589 2547783 2589405 2628665 2665827 2734942 2737371 2830870 2930295 2947938 2962030 2983890 3107286 3154398 3158505 3481205 3516354 3639690 3680131 3850639 3910530 3963218 4102413 4146842 4177446 4246305 4421907 4443045 4475835 4562285 4731597 4820130 4913230 5079178 5095566 5178810 5257330 5331654 5474742 5860590 5865795 5944827 6220263 6266169 6317010 6387199 6837355 6962410 7228061 7360262 7369845 7618767 7701278 7768215 7885995 8204826 8212113 8492610 8790885 8843814 8886090 8951670 9124570 9463194 9572297 9908045 10367105 10443615 10959511 11040393 11551917 11731590 11889654 12307239 12440526 12532338 12697945 12738915 12774398 13329135 13674710 13686855 14456122 14513947 14739690 15237534 15536430 15771990 16424226 17581770 17777123 17834481 18400655 18660789 19144594 19161597 19253195 19816090 20512065 20734210 20887230 21684183 21919022 22080786 22109535 22856301 23103834 23657985 24614478 25395890 25477830 25760917 26658270 26954473 27373710 28716891 29027894 29724135 31101315 31330845 31935995 32878533 33121179 34655751 35554246 35668962 36140305 36801310 37321578 38093835 38323194 38506390 41024130 41060565 43368366 43541841 44219070 45712602 47315970 47861485 50596427 51521834 52940663 53331369 53908946 54797555 55201965 57433782 57484791 57759585 59448270 61536195 62202630 62661690 63871990 65052549 65757066 66242358 69311502 72280610 72569735 76187670 76716577 77282751 80863419 82121130 86150673 87083682 88885615 89172405 93303945 93964793 95722970 95807985 98635599 101192854 105881326 106662738 108420915 109595110 110403930 114281505 114969582 115519170 123072390 124439861 128804585 130105098 130625523 134772365 142473643 143584455 145139470 151789281 153433154 154565502 158821989 159994107 161726838 164392665 165605895 172301346 173278755 177771230 178344810 186607890 187929586 188681311 191615970 197271198 213520829 216841830 217709205 228563010 230149731 231848253 242590257 248879722 252982135 257609170 261251046 264703315 266656845 269544730 281894379 284947286 287168910 287423955 303578562 317643978 319988214 325262745 328785330 331211790 346557510 354174989 370584641 373319583 377362622 383582885 386413755 404317095 427041658 427420929 430753365 435418410 455367843 460299462 463696506 469823965 476465967 485180514 493177995 505964270 529406630 533313690 537016039 563788758 566043933 574847910 622199305 640562487 650525490 653127615 657753551 688228619 690449193 708349978 712368215 741169282 746639166 758946405 767165770 772827510 794109945 799970535 808634190 845683137 854841858 861506730 910735686 939647930 943406555 952931934 986355990 997315501 1062524967 1067604145 1074032078 1111753923 1119958749 1132087866 1150748655 1159241265 1212951285 1244398610 1281124974 1282262787 1306255230 1315507102 1376457238 1380898386 1409471895 1424736430 1494645803 1517892810 1588219890 1599941070 1611048117 1691366274 1698131799 1770874945 1852923205 1866597915 1886813110 1921687461 1958804531 1973260653 1994631002 2064685857 2125049934 2135208290 2137104645 2223507846 2239917498 2276839215 2301497310 2318482530 2382329835 2425902570 2564525574 2594092487 2685080195 2775770777 2818943790 2830219665 2989291606 2991946503 3187574901 3202812435 3222096234 3288767755 3335261769 3396263598 3441143095 3452245965 3541749890 3705846410 3733195830 3843374922 3917609062 3946521306 4129371714 4228415685 4274209290 4483937409 4553678430 4604274857 4764659670 4817600333 4833144351 4986577505 5188184974 5312624835 5370160390 5551541554 5558769615 5599793745 5660439330 5876413593 5919781959 5983893006 6194057571 6375149802 6405624870 6411313935 6577535510 6670523538 6882286190 6904491930 6981208507 7473229015 7782277461 7900270673 8055240585 8327312331 8456831370 8490658995 8967874818 8975839509 9208549714 9608437305 9635200666 9666288702 9794022655 9866303265 9973155010 10323429285 10462520621 10625249670 11117539230 11199587490 11752827186 11839563918 12388115142 12822627870 12970462435 13451812227 13711631717 13812824571 13878853885 13962417014 14452800999 14946458030 14959732515 15564554922 15800541346 15937874505 16110481170 16654624662 16676308845 16981317990 17629240779 17951679018 19216874610 19430395439 19588045310 19732606530 20646858570 20925041242 20943625521 22419687045 23021374285 23346832383 23700812019 24088001665 24165721755 24981936993 25464458903 25940924870 26903624454 27423263434 27625649142 27757707770 28905601998 29382067965 29598909795 29919465030 30970287855 31387561863 31875749010 33352617690 33723202331 34906042535 35258481558 38860790878 38911387305 39501353365 41134895151 41438473713 41636561655 41887251042 43358402997 44839374090 44879197545 46042748570 46693664766 47401624038 48176003330 48331443510 49963873986 50928917806 52312603105 55301894711 57864144659 58291186317 58764135930 59197819590 61940575710 62775123726 62830876563 67259061135 67446404662 68558158585 69064122855 69812085070 71102436057 72264004995 76393376709 77822774610 79002706730 82269790302 82876947426 83273123310 86716805994 88146203895 89758395090 94162685589 95981422019 97151977195 101169606993 102703518749 104625206210 104718127605 110603789422 115728289318 116582372634 116734161915 118504060095 123404685453 124909684965 125661753126 127322294515 134518122270 136012768073 137116317170 138128245710 142204872114 144528009990 152786753418 156937809315 165905684133 168616011655 173592433977 174873558951 176292407790 178251212321 188325371178 191962844038 194303954390 202339213986 205407037498 205674475755 207192368565 209436255210 216792014985 229180130127 233468323830 237008120190 246809370906 249819369930 254644589030 272025536146 276509473555 287944266057 289320723295 291455931585 303508820979 308110556247 313875618630 314154382815 331811368266 337232023310 347184867954 349747117902 355512180285 356502424642 381966883545 387113262977 405049012613 408038304219 411348951510 414384737130 433584029970 458360260254 470813427945 479907110095 497717052399 505848034965 513517593745 520777301931 534753636963 553018947110 575888532114 578641446590 582911863170 607017641958 616221112494 617023427265 628308765630 680063840365 711024360570 718924631243 752233880567 763933767090 774226525954 810098025226 816076608438 829528420665 863832798171 867962169885 874367794755 891256061605 924331668741 941626855890 959814220190 995434104798 1011696069930 1027035187490 1041554603862 1069507273926 1145900650635 1161339788931 1215147037839 1224114912657 1234046854530 1247758486247 1360127680730 1437849262486 1439721330285 1504467761134 1517544104895 1540552781235 1604260910889 1659056841330 1727665596342 1735924339770 1748735589510 1782512123210 1848663337482 1935566314885 2025245063065 2040191521095 2140973352383 2156773893729 2256701641701 2291801301270 2322679577862 2430294075678 2448229825314 2488585261995 2495516972494 2603886509655 2673768184815 2835343088291 2879442660570 3035088209790 3081105562470 3208521821778 3484019366793 3594623156215 3645441113517 3743275458741 3761169402835 3871132629770 4050490126130 4080383042190 4281946704766 4313547787458 4319163990855 4513403283402 4621658343705 4977170523990 5032472418701 5207773019310 5265637163969 5347536369630 5670686176582 5806698944655 6075735189195 6120574563285 6238792431235 6422920057149 6470321681187 6770104925103 6968038733586 7189246312430 7290882227034 7486550917482 7522338805670 8021304554445 8506029264873 8638327981710 9243316687410 10064944837402 10531274327938 10704866761915 10783869468645 11229826376223 11283508208505 11613397889310 12151470378390 12241149126570 12477584862470 12845840114298 12940643362374 13540209850206 14176715441455 14986813466681 15097417256103 15796911491907 16042609108890 17012058529746 17420096833965 18227205567585 18716377293705 19268760171447 21409733523830 21567738937290 22459652752446 22567016417010 25162362093505 25518087794619 26328185819845 27832653580979 28353430882910 29973626933362 30194834512206 31593822983814 32114600285745 32351608405935 33850524625515 34840193667930 36454411135170 36859460147783 37432754587410 38537520342894 42530146324365 44960440400043 45292251768309 47390734475721 50324724187010 51036175589238 52656371639690 55665307161958 56149131881115 64229200571490 64703216811870 67701049251030 73718920295566 74934067333405 75487086280515 78984557459535 83497960742937 85060292648730 89920880800086 90584503536618 94781468951442 96343800857235 104907694266767 110578380443349 112298263762230 127590438973095 134881321200129 139163267904895 149868134666810 150974172561030 157969114919070 166995921485874 184297300738915 192687601714470 194828575066853 209815388533534 221156760886698 224802202000215 226461258841545 236953672378605 250493882228811 255180877946190 269762642400258 278326535809790 314723082800301 331735141330047 368594601477830 389657150133706 417489803714685 449604404000430 452922517683090 473907344757210 500987764457622 524538471333835 552891902216745 584485725200559 629446165600602 663470282660094 674406606000645 834979607429370 944169248400903 974142875334265 1049076942667670 1105783804433490 1168971450401118 1252469411144055 1348813212001290 1363800025467971 1573615414001505 1658675706650235 1753457175601677 1888338496801806 1948285750668530 2504938822288110 2727600050935942 2922428626002795 3147230828003010 3317351413300470 3506914351203354 4091400076403913 4720846242004515 5844857252005590 6819000127339855 8182800152807826 8767285878008385 9441692484009030 12274200229211739 13638000254679710 17534571756016770 20457000382019565 24548400458423478 40914000764039130 61371001146058695 122742002292117390
- Sum of all divisors σ(n): 412487582892682752
- Sum of proper divisors (its aliquot sum) s(n): 289745580600565362
- 122742002292117390 is an abundant number, because the sum of its proper divisors (289745580600565362) is greater than itself. Its abundance is 167003578308447972
Bases of 122742002292117390
- Binary: 1101101000001000100110011011001011010010001001111100011102
- Hexadecimal: 0x1B4113365A44F8E
- Base-36: XKKEPF852FI
Squares and roots of 122742002292117390
- 122742002292117390 squared (1227420022921173902) is 15065599126678150620562129540412100
- 122742002292117390 cubed (1227420022921173903) is 1849181802538851312496838874479010673211282176419000
-
The
square root of 122742002292117390 is 350345546.9848552107 -
The
cube root of 122742002292117390 is 496971.0240521463
Scales and comparisons
How big is 122742002292117390?- 122,742,002,292,117,390 seconds is equal to 3,902,816,006 years, 49 weeks, 2 days, 3 hours, 16 minutes, 30 seconds.
-
To count from 1 to 122,742,002,292,117,390 would take you about eleven billion, seven hundred eight million, four hundred forty-eight thousand and twenty 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 122742002292117390 cubic inches would be around 41414.3 feet tall.
Recreational maths with 122742002292117390
- 122742002292117390 backwards is 093711292200247221
- The number of decimal digits it has is: 18
- The sum of 122742002292117390's digits is 54
- More coming soon!
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"Number 122742002292117390 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 122742002292117390 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/122742002292117390/
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The information we have on file for 122742002292117390 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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