120198929400870138
120,198,929,400,870,138 is an even composite number composed of seven prime numbers multiplied together.
What does the number 120198929400870138 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1620 divisors.
120198929400870138 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 120198929400870138:
2 × 32 × 72 × 132 × 174 × 29 × 5772
(2 × 3 × 3 × 7 × 7 × 13 × 13 × 17 × 17 × 17 × 17 × 29 × 577 × 577)See below for interesting mathematical facts about the number 120198929400870138 from the Numbermatics database.
Names of 120198929400870138
- Cardinal: 120198929400870138 can be written as One hundred twenty quadrillion, one hundred ninety-eight trillion, nine hundred twenty-nine billion, four hundred million, eight hundred seventy thousand, one hundred thirty-eight.
Scientific notation
- Scientific notation: 1.20198929400870138 × 1017
Factors of 120198929400870138
Divisors of 120198929400870138
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 6 7 9 13 14 17 18 21 26 29 34 39 42 49 51 58 63 78 87 91 98 102 117 119 126 147 153 169 174 182 203 221 234 238 261 273 289 294 306 338 357 377 406 441 442 493 507 522 546 577 578 609 637 663 714 754 819 833 867 882 986 1014 1071 1131 1154 1183 1218 1274 1326 1421 1479 1521 1547 1638 1666 1731 1734 1827 1911 1989 2023 2142 2262 2366 2499 2601 2639 2842 2873 2958 3042 3094 3393 3451 3462 3549 3654 3757 3822 3978 4039 4046 4263 4437 4641 4901 4913 4998 5193 5202 5278 5733 5746 6069 6409 6786 6902 7098 7497 7501 7514 7917 8078 8281 8381 8526 8619 8874 9282 9802 9809 9826 10353 10386 10647 10829 11271 11466 12117 12138 12789 12818 13923 14161 14703 14739 14994 15002 15834 16562 16733 16762 17238 18207 18473 19227 19618 20111 20706 21294 21658 22503 22542 23751 24157 24234 24843 25143 25578 25857 26299 27846 28273 28322 29406 29427 29478 31059 32487 33466 33813 34307 34391 36351 36414 36946 38454 40222 42483 44109 44217 44863 45006 47502 48314 48841 49686 50199 50286 51714 52507 52598 55419 56546 57681 58667 58854 60333 62118 63869 64974 67509 67626 68614 68663 68782 72471 72702 74529 75429 78897 83317 83521 84819 84966 88218 88281 88434 89726 97461 97513 97682 100398 102921 103173 105014 108953 110838 115362 117131 117334 120666 127449 127517 127738 134589 135018 137326 140777 142477 144942 146523 149058 150597 150858 157521 157794 166257 166634 166753 167042 169638 176001 176562 180999 184093 191607 194922 195026 205842 205989 206346 217413 217529 217906 234262 236691 240149 240737 249951 250563 254457 254898 255034 269178 281554 284461 284954 292539 293046 301194 308763 309519 314041 315042 326859 332514 332929 333506 341887 351393 352002 361998 367549 368186 382551 383214 403767 410669 411978 422331 427431 434826 435058 439569 447083 472563 473382 480298 480641 481474 499902 500259 501126 508914 528003 552279 568922 574821 583219 584647 585078 617526 617967 619038 628082 652587 653718 665858 682591 683774 702786 720447 722211 735098 749853 751689 762671 765102 807534 819917 821338 830297 844662 853383 854862 877617 879138 892619 894166 942123 945126 961282 980577 997339 998787 1000518 1025661 1054179 1056006 1085773 1102647 1104558 1147653 1149642 1166438 1167271 1169294 1232007 1235934 1266993 1282293 1305174 1341249 1365182 1416389 1440894 1441923 1444422 1499706 1500777 1503378 1522703 1525342 1639834 1656837 1657721 1660594 1706766 1749657 1753941 1755234 1785238 1852201 1884246 1957761 1961154 1991227 1994678 1997574 2047773 2051322 2108358 2161341 2166633 2167789 2171546 2205294 2288013 2295306 2330503 2334542 2393209 2422109 2459751 2464014 2490891 2533986 2560149 2564586 2677857 2682498 2826369 2827877 2832778 2834801 2883846 2992017 2996361 3001554 3045406 3076983 3129581 3257319 3307941 3313674 3315442 3499314 3501813 3507882 3696021 3697993 3704402 3915522 3982454 4023747 4082533 4092529 4095546 4249167 4322682 4325769 4328077 4333266 4335578 4568109 4576026 4661006 4778137 4786418 4835837 4844218 4919502 4973163 4981782 5120298 5248971 5261823 5338697 5355714 5556603 5652738 5655754 5659793 5669602 5812079 5973681 5984034 5992722 6143319 6153966 6248333 6259162 6503367 6514638 6615882 6864039 6981373 6991509 7003626 7179627 7266327 7379253 7392042 7395986 7472673 7600411 8033571 8047494 8165066 8170897 8185058 8483631 8498334 8504403 8651538 8656154 8976051 9136218 9388743 9556274 9654941 9671674 9771957 9914723 9946326 10497942 10505439 10523646 10658921 10677394 11093979 11113206 11319586 11604047 11624158 11947362 12247599 12277587 12286638 12496666 12747501 12965407 12984231 13006734 13704327 13728078 13938589 13962746 13983018 14115049 14334411 14359254 14507511 14532654 14758506 14919489 14945346 15174523 15200822 16016091 16067142 16313521 16341794 16669809 16954763 16967262 16979379 17008806 17436237 17921043 17952102 18744999 18777486 19309882 19510101 19543914 19795139 19829446 19843607 20944119 20974527 21010878 21317842 21538881 21798981 22187958 22801233 23208094 24078613 24495198 24512691 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410881726542 421818712497 422549767458 426912526197 446540688321 471305509857 471556973381 472374229834 479715398526 480889972038 499295618874 500518134162 507830586718 513096146199 551609085573 552565080522 552859899826 582511555353 583521107442 583937823189 616322589813 616651426729 627320136534 652925040066 664086151862 680774625349 682944582138 708561344751 719573097789 720820191546 721334958057 722970638234 761745880077 763066063578 796768679161 798149560754 806390327261 820341717006 829289849739 843637424994 853825052394 875281661163 890243740841 893081376642 940980204801 942611019714 943113946762 996129227793 1024416873207 1026192292398 1041928272749 1084455957351 1103218171146 1144599095367 1165023110706 1167875646378 1197224341131 1230512575509 1232645179626 1233302853458 1339622064963 1359193629157 1361549250698 1362521587441 1414670920143 1417122689502 1439146195578 1442669916114 1523491760154 1593537358322 1612780654522 1653309804419 1658579699478 1747534666059 1750563322326 1751813469567 1777407053513 1780487481682 1849954280187 1881960409602 1935009649391 1992258455586 2042323876047 2048833746414 2083856545498 2125684034253 2168911914702 2285237640231 2289198190734 2324301531517 2390306037483 2394448682262 2419170981783 2461025151018 2487869549217 2530397233819 2670731222523 2679244129926 2718387258314 2725043174882 2829341840286 2988387683379 3125784818247 3253367872053 3300898813667 3306619608838 3495069332118 3503626939134 3554814107026 3591673023393 3699908560374 3870019298782 4077580887471 4084647752094 4087564762323 4244012760429 4251368068506 4316559987103 4570475280462 4648603063034 4699309148521 4780612074966 4838341963566 4959929413257 4975739098434 5060794467638 5332221160539 5341462445046 5549862840561 5644732290827 5805028948173 5976775366758 6126971628141 6251569636494 6506735744106 6601797627334 6972904594551 7170918112449 7183346046786 7257512945349 7591191701457 8012193667569 8016468547477 8155161774942 8175129524646 8488025520858 8633119974206 9377354454741 9398618297042 9902696441001 9919858826514 10483074254393 10664442321078 11099725681122 11289464581654 11573168630933 11610057896346 12232742662413 12253943256282 12262694286969 12949679961309 13545067545737 13945809189102 14097927445563 14341836224898 14515025890698 14879788239771 15182383402914 15996663481617 16024387335138 16032937094954 16934196872481 17415086844519 17712780636733 18754708909482 19805392882002 20918713783653 20966148508786 22773575104371 23106291695669 23146337261866 24049405642431 24465485324826 24525388573938 25899359922618 27090135091474 28195854891126 29708089323003 29759576479542 30215919909721 31449222763179 31993326963234 32895164039647 33868393744962 34719505892799 34830173689038 35425561273466 38849039883927 39513126035789 40635202637211 41837427567306 42293782336689 45547150208742 46212583391338 48098811284862 50802590617443 53138341910199 56115279832339 59416178646006 60431839819442 62898445526358 65790328079294 69318875087007 69439011785598 72148216927293 73381519780751 77698079767854 79026252071578 81270405274422 84587564673378 90647759729163 94347668289537 98685492118941 101605181234886 104158517678397 106276683820398 112230559664678 118539378107367 121905607911633 136279965307109 138637750174014 144296433854586 146763039561502 159415025730597 168345839497017 181295519458326 188695336579074 197370984237882 207956625261021 208317035356794 220144559342253 230266148277529 237078756214734 243811215823266 271943279187489 272559930614218 296056476356823 318830051461194 336691678994034 355618134322101 392806958826373 408839895921327 415913250522042 440289118684506 460532296555058 505037518491051 513670638465257 543886558374978 592112952713646 660433678026759 690798444832587 711236268644202 785613917652746 817679791842654 953959757149763 1010075036982102 1027341276930514 1178420876479119 1226519687763981 1320867356053518 1381596889665174 1541011915395771 1907919514299526 2072395334497761 2356841752958238 2453039375527962 2861879271449289 3082023830791542 3535262629437357 4144790668995522 4623035746187313 5723758542898578 6677718300048341 7070525258874714 8585637814347867 9246071492374626 13355436600096682 17171275628695734 20033154900145023 40066309800290046 60099464700435069 120198929400870138
- Sum of all divisors σ(n): 361194459011213490
- Sum of proper divisors (its aliquot sum) s(n): 240995529610343352
- 120198929400870138 is an abundant number, because the sum of its proper divisors (240995529610343352) is greater than itself. Its abundance is 120796600209473214
Bases of 120198929400870138
- Binary: 1101010110000100001001010000110010101001000110100111110102
- Hexadecimal: 0x1AB084A195234FA
- Base-36: WVIYPV4VZEI
Squares and roots of 120198929400870138
- 120198929400870138 squared (1201989294008701382) is 14447782629115363672061271540139044
- 120198929400870138 cubed (1201989294008701383) is 1736608004236155547154750714642282266634887107468072
-
The
square root of 120198929400870138 is 346697172.4731399335 -
The
cube root of 120198929400870138 is 493514.8211116721
Scales and comparisons
How big is 120198929400870138?- 120,198,929,400,870,138 seconds is equal to 3,821,954,155 years, 12 weeks, 6 days, 1 hour, 42 minutes, 18 seconds.
-
To count from 1 to 120,198,929,400,870,138 would take you about eleven billion, four hundred sixty-five million, eight hundred sixty-two thousand, four hundred sixty-five 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 120198929400870138 cubic inches would be around 41126.2 feet tall.
Recreational maths with 120198929400870138
- 120198929400870138 backwards is 831078004929891021
- The number of decimal digits it has is: 18
- The sum of 120198929400870138's digits is 72
- More coming soon!
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"Number 120198929400870138 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 120198929400870138 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/120198929400870138/
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Numbermatics. 2024. "Number 120198929400870138 - Facts about the integer". https://numbermatics.com/n/120198929400870138/
The information we have on file for 120198929400870138 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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