137972528404200
137,972,528,404,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137972528404200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
137972528404200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 137972528404200:
23 × 34 × 52 × 73 × 17 × 811 × 1801
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 17 × 811 × 1801)See below for interesting mathematical facts about the number 137972528404200 from the Numbermatics database.
Names of 137972528404200
- Cardinal: 137972528404200 can be written as One hundred thirty-seven trillion, nine hundred seventy-two billion, five hundred twenty-eight million, four hundred four thousand, two hundred.
Scientific notation
- Scientific notation: 1.379725284042 × 1014
Factors of 137972528404200
Divisors of 137972528404200
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 17 18 20 21 24 25 27 28 30 34 35 36 40 42 45 49 50 51 54 56 60 63 68 70 72 75 81 84 85 90 98 100 102 105 108 119 120 126 135 136 140 147 150 153 162 168 170 175 180 189 196 200 204 210 216 225 238 245 252 255 270 280 294 300 306 315 324 340 343 350 357 360 378 392 405 408 420 425 441 450 459 476 490 504 510 525 540 567 588 595 600 612 630 648 675 680 686 700 714 735 756 765 810 811 833 840 850 882 900 918 945 952 980 1020 1029 1050 1071 1080 1134 1176 1190 1224 1225 1260 1275 1323 1350 1372 1377 1400 1428 1470 1512 1530 1575 1620 1622 1666 1700 1715 1764 1785 1800 1801 1836 1890 1960 2025 2040 2058 2100 2142 2205 2268 2295 2380 2433 2450 2499 2520 2550 2646 2700 2744 2754 2835 2856 2940 2975 3060 3087 3150 3213 3240 3244 3332 3400 3430 3528 3570 3602 3672 3675 3780 3825 3969 4050 4055 4116 4165 4200 4284 4410 4536 4590 4725 4760 4866 4900 4998 5100 5145 5292 5355 5400 5403 5508 5670 5677 5831 5880 5950 6120 6174 6300 6426 6488 6615 6664 6860 6885 7140 7204 7299 7350 7497 7560 7650 7938 8100 8110 8232 8330 8568 8575 8820 8925 9005 9180 9261 9450 9639 9732 9800 9996 10200 10290 10584 10710 10806 11016 11025 11340 11354 11475 11662 11900 12165 12348 12495 12600 12607 12852 13230 13720 13770 13787 14175 14280 14408 14598 14700 14994 15300 15435 15876 16065 16200 16209 16220 16660 17031 17150 17493 17640 17850 18010 18360 18522 18900 19278 19464 19845 19992 20275 20580 20825 21420 21612 21897 22050 22491 22680 22708 22950 23324 23800 24330 24696 24990 25214 25704 25725 26460 26775 27015 27540 27574 27783 28350 28385 29155 29196 29400 29988 30600 30617 30870 31752 32130 32418 32440 33075 33320 34062 34300 34425 34986 35700 36020 36495 37044 37485 37800 37821 38556 39690 39739 40550 41160 41361 41650 42840 43224 43794 44100 44982 45025 45416 45900 46305 46648 48195 48627 48660 49980 50428 51093 51450 52479 52920 53550 54030 55080 55148 55566 56700 56770 58310 58392 59976 60825 61234 61740 62475 63035 64260 64836 65691 66150 67473 68124 68600 68850 68935 69972 71400 72040 72990 74088 74970 75642 77112 77175 79380 79478 80325 81045 81100 82722 83300 85155 87465 87588 88200 88249 89964 90050 91800 91851 92610 96390 96509 97254 97320 99225 99960 100856 102186 102900 104958 107100 108060 109485 110296 111132 112455 113400 113463 113540 116620 119217 121650 122468 123480 124083 124950 126070 128520 129672 131382 132300 134946 135075 136248 137700 137870 138915 139944 141925 145775 145881 145980 149940 151284 153085 153279 154350 157437 158760 158956 160650 162090 162200 165444 166600 170310 174930 175176 176498 179928 180100 182475 183702 185220 187425 189105 192780 193018 194508 198450 198695 204372 205800 206805 209916 214200 214319 216120 218970 222264 224910 226926 227080 231525 233240 238434 240975 243135 243300 244936 248166 249900 252140 255465 262395 262764 264600 264747 269892 270150 275400 275553 275740 277830 278173 283850 289527 291550 291762 291960 299880 302568 306170 306558 308700 314874 315175 317912 321300 324180 328455 330888 337365 340389 340620 344675 349860 352996 357651 360200 364950 367404 370440 372249 374850 378210 385560 386036 389016 396900 397390 405225 408744 413610 419832 425775 428638 437325 437940 441245 449820 453852 459255 459837 463050 472311 476868 481950 482545 486270 486600 496332 499800 504280 510930 524790 525528 529494 539784 540300 547425 551106 551480 555660 556346 562275 567315 567700 579054 583100 583524 596085 612340 613116 617400 617743 620415 629748 630350 642600 642957 648360 656910 674730 675563 680778 681240 689350 694575 699720 705992 715302 729405 729900 734808 744498 749700 756420 765425 766395 772072 787185 793800 794241 794780 810450 826659 827220 834519 851550 857276 868581 874650 875880 882490 899640 907704 918510 919674 926100 944622 945525 953736 963900 965090 972540 992664 993475 1021167 1021860 1034025 1049580 1058988 1071595 1072953 1080600 1094850 1102212 1111320 1112692 1116747 1124550 1134630 1135400 1158108 1166200 1167048 1192170 1215675 1224680 1226232 1235486 1240830 1259496 1260700 1277325 1285914 1311975 1313820 1323735 1349460 1351126 1361556 1377765 1378700 1389150 1390865 1430604 1447635 1458810 1459800 1460611 1488996 1499400 1500233 1512840 1530850 1532790 1574370 1588482 1589560 1620900 1642275 1653318 1654440 1669038 1686825 1701945 1703100 1714552 1737162 1749300 1764980 1788255 1837020 1839348 1852200 1853229 1861245 1889244 1891050 1927800 1928871 1930180 1945080 1986950 2026689 2042334 2043720 2068050 2099160 2117976 2143190 2145906 2189700 2204424 2206225 2225384 2233494 2249100 2269260 2296275 2299185 2316216 2361555 2382723 2384340 2412725 2431350 2470972 2479977 2481660 2503557 2521400 2554650 2571828 2605743 2623950 2627640 2647470 2698920 2702252 2723112 2755530 2757400 2778300 2781730 2836575 2861208 2895270 2917620 2921222 2977992 2980425 3000466 3061700 3065580 3088715 3102075 3148740 3176964 3214785 3218859 3241800 3284550 3306636 3338076 3373650 3377815 3403890 3406200 3474324 3498600 3529960 3576510 3647025 3674040 3678696 3706458 3722490 3778488 3782100 3831975 3857742 3860360 3935925 3971205 3973900 4053378 4084668 4133295 4136100 4172595 4286380 4291812 4342905 4379400 4381833 4412450 4466988 4498200 4500699 4538520 4592550 4598370 4723110 4728941 4765446 4768680 4825450 4862700 4941944 4959954 4963320 5007114 5105835 5109300 5143656 5211486 5247900 5294940 5357975 5364765 5404504 5511060 5556600 5559687 5563460 5583735 5673150 5786613 5790540 5835240 5842444 5960850 6000932 6080067 6123400 6131160 6177430 6204150 6297480 6353928 6429570 6437718 6569100 6613272 6618675 6676152 6747300 6755630 6807780 6888825 6948648 6954325 7148169 7153020 7238175 7294050 7303055 7412916 7444980 7501165 7510671 7564200 7663950 7715484 7817229 7871850 7942410 7947800 8106756 8169336 8266590 8272200 8345190 8509725 8572760 8583624 8685810 8763666 8824900 8933976 8941275 9001398 9185100 9196740 9266145 9306225 9446220 9457882 9530892 9644355 9650900 9725400 9919908 10014228 10133445 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65143575 65727495 66716244 67510485 67556300 68077800 69439356 70934115 71481690 71530200 71569939 72960804 73030550 74129160 74449800 74491161 75011650 75106710 77154840 78172290 78872994 79424100 80471475 81012582 81067560 81794216 82665900 83395305 83451900 84013048 85120938 86799195 86858100 87636660 90013980 90128052 91201005 91967400 92018493 92661450 94462200 94514679 94578820 95308920 96443550 99199080 99321548 100074366 100142280 101334450 102116700 102242770 104229720 105016310 105163992 107295300 108016776 109441206 109545825 111193740 111674700 112517475 112660065 113494584 115732260 118223525 118309491 119136150 121518873 121601340 122691324 123548600 123998850 124151935 125177850 126019572 127681407 128591400 128754360 130287150 131454990 133432488 135020970 135112600 138878712 138992175 141868230 142963380 143139878 144665325 145921608 146061100 148982322 150023300 150213420 152001675 153364155 156344580 157524465 157745988 158848200 160942950 162025164 165331800 166790610 166903800 170241876 173598390 173716200 173812709 175273320 178704225 180027960 180256104 182402010 184036986 185322900 187766775 189029358 189157640 192887100 195430725 197182485 198643096 200148732 202531455 202668900 204233400 204485540 210032620 212802345 214590600 214709817 218882412 219091650 222387480 223349400 223473483 225034950 225320130 231464520 236447050 236618982 238272300 243037746 243202680 245382648 247997700 248303870 250185915 250355700 252039144 255362814 255606925 260574300 262540775 262909980 270041940 273603015 276055479 277984350 283544037 283736460 285926760 286279756 289330650 292122200 297964644 300046600 300426840 304003350 306728310 312689160 315048930 315491976 321885900 324050328 328637475 333581220 337552425 340483752 347196780 347625418 354670575 357408450 357849695 364804020 368073972 370645800 372455805 375533550 378058716 383044221 385774200 390861450 394364970 400297464 405062910 405337800 408971080 416976525 420065240 425604690 429419634 433995975 437764824 438183300 446946966 450069900 450640260 456005025 460092465 472573395 472894100 473237964 476544600 486075492 495995400 496607740 500371830 500711400 500989573 510725628 511213850 521148600 521438127 525081550 525819960 540083880 547206030 552110958 555968700 563300325 567088074 567472920 572559512 578661300 591547455 595929288 607594365 608006700 613456620 620759675 630097860 638407035 643771800 644129451 657274950 667162440 670420449 675104850 694393560 695250836 709341150 714816900 715699390 729608040 736147944 744911610 751067100 756117432 766088442 766820775 781722900 787622325 788729940 810125820 828166437 833953050 850632111 851209380 858839268 867991950 869063545 876366600 893893932 900139800 901280520 912010050 920184930 945146790 945788200 946475928 972150984 985912425 993215480 1000743660 1001979146 1012657275 1021451256 1022427700 1042876254 1050163100 1064011725 1073549085 1094412060 1104221916 1111937400 1117367415 1126600650 1134176148 1157322600 1183094910 1215188730 1216013400 1216688963 1226913240 1241519350 1250929575 1260195720 1276814070 1288258902 1314549900 1340840898 1350209700 1368015075 1380277395 1390501672 1417720185 1418682300 1429633800 1431398780 1489823220 1502134200 1502968719 1532176884 1533641550 1563445800 1564314381 1575244650 1577459880 1620251640 1656332874 1667906100 1701264222 1702418760 1717678536 1735983900 1738127090 1787787864 1789248475 1824020100 1840369860 1862279025 1890293580 1915221105 1932388353 1971824850 2001487320 2003958292 2011261347 2025314550 2044855400 2085752508 2100326200 2128023450 2147098170 2188824120 2208443832 2234734830 2253201300 2268352296 2300462325 2362866975 2366189820 2430377460 2433377926 2483038700 2501859150 2504947865 2553628140 2576517804 2607190635 2629099800 2681681796 2700419400 2736030150 2760554790 2835440370 2837364600 2862797560 2957737275 2979646440 3005937438 3037971825 3064353768 3067283100 3128628762 3150489300 3192035175 3220647255 3312665748 3335812200 3352102245 3402528444 3471967800 3476254180 3578496950 3648040200 3650066889 3680739720 3724558050 3780587160 3830442210 3864776706 3943649700 4007916584 4022522694 4050629100 4140832185 4171505016 4253160555 4256046900 4294196340 4345317725 4469469660 4506402600 4508906157 4600924650 4692943143 4725733950 4732379640 4860754920 4866755852 4966077400 5003718300 5009895730 5107256280 5153035608 5214381270 5363363592 5367745425 5472060300 5521109580 5586837075 5670880740 5797165059 5915474550 6011874876 6075943650 6083444815 6134566200 6257257524 6300978600 6384070350 6441294510 6625331496 6704204490 6805056888 6901386975 6952508360 7088600925 7156993900 7300133778 7449116100 7514843595 7660884420 7729553412 7821571905 7887299400 8045045388 8101258200 8281664370 8506321110 8512093800 8516822741 8588392680 8690635450 8938939320 9017812314 9201849300 9385886286 9451467900 9576105525 9661941765 9733511704 10007436600 10019791460 10056306735 10428762540 10735490850 10944120600 10950200667 11042219160 11173674150 11341761480 11594330118 11830949100 12023749752 12151887300 12166889630 12514515048 12524739325 12768140700 12882589020 13035953175 13408408980 13526718471 13802773950 14078829429 14177201850 14313987800 14600267556 14898232200 15029687190 15321768840 15459106824 15643143810 16090090776 16103236275 16563328740 16760511225 17012642220 17033645482 17381270900 18035624628 18250334445 18403698600 18771772572 18902935800 19152211050 19323883530 20039582920 20112613470 20704160925 20857525080 21265802775 21470981700 21900401334 22347348300 22544530785 23188660236 23464715715 23661898200 24303774600 24333779260 25049478650 25536281400 25550468223 25765178040 26071906350 26816817960 27053436942 27605547900 28157658858 28354403700 28985825295 29200535112 30059374380 30417224075 31286287620 32206472550 32850602001 33126657480 33521022450 34025284440 34067290964 34762541800 36071249256 36500668890 37543545144 37574217975 38304422100 38647767060 39107859525 40225226940 40580155413 41408321850 42531605550 42584113705 42941963400 43800802668 44694696600 45089061570 46377320472 46929431430 48309708825 48667558520 50098957300 50281533675 51100936446 52143812700 54106873884 54751003335 55211095800 56315317716 56708807400 57971650590 60118748760 60834448150 62572575240 64412945100 65701204002 67042044900 67633592355 68134581928 70394147145 73001337780 75148435950 76608844200 76651404669 77295534120 78215719050 80450453880 81160310826 82816643700 85063211100 85168227410 87601605336 90178123140 91251672225 93858862860 96619417650 98551806003 100197914600 100563067350 102201872892 104287625400 108213747768 109502006670 112630635432 112722653925 115943301180 117323578575 121668896300 127752341115 128825890200 131402408004 134084089800 135267184710 140788294290 144929126475 146002675560 150296871900 153302809338 156431438100 162320621652 164253010005 165633287400 170126422200 170336454820 180356246280 182503344450 187717725720 193238835300 197103612006 201126134700 202900777065 204403745784 212920568525 219004013340 225445307850 229954214007 231886602360 234647157150 243337792600 255504682230 262804816008 270534369420 273755016675 281576588580 289858252950 300593743800 306605618676 312862876200 324641243304 328506020010 338167961775 340672909640 351970735725 365006688900 383257023345 386477670600 394207224012 402252269400 405801554130 425841137050 438008026680 450890615700 459908428014 469294314300 492759030015 511009364460 541068738840 547510033350 563153177160 579716505900 613211237352 638761705575 657012040020 676335923550 689862642021 703941471450 730013377800 766514046690 788414448024 811603108260 821265050025 851682274100 901781231400 919816856028 938588628600 985518060030 1014503885325 1022018728920 1095020066700 1149771070035 1159433011800 1277523411150 1314024080040 1352671847100 1379725284042 1407882942900 1533028093380 1623206216520 1642530100050 1703364548200 1839633712056 1916285116725 1971036120060 2029007770650 2190040133400 2299542140070 2463795150075 2555046822300 2705343694200 2759450568084 2815765885800 3066056186760 3285060200100 3449313210105 3832570233450 3942072240120 4058015541300 4599084280140 4927590300150 5110093644600 5518901136168 5748855350175 6570120400200 6898626420210 7665140466900 8116031082600 9198168560280 9855180600300 11497710700350 13797252840420 15330280933800 17246566050525 19710361200600 22995421400700 27594505680840 34493132101050 45990842801400 68986264202100 137972528404200
- Sum of all divisors σ(n): 592763748192000
- Sum of proper divisors (its aliquot sum) s(n): 454791219787800
- 137972528404200 is an abundant number, because the sum of its proper divisors (454791219787800) is greater than itself. Its abundance is 316818691383600
Bases of 137972528404200
- Binary: 111110101111100001110111000101101010110111010002
- Hexadecimal: 0x7D7C3B8B56E8
- Base-36: 1CWNPD2EI0
Squares and roots of 137972528404200
- 137972528404200 squared (1379725284042002) is 19036418594247775798577640000
- 137972528404200 cubed (1379725284042003) is 2626502805209092281101926772859002088000000
-
The
square root of 137972528404200 is 11746170.7975067345 -
The
cube root of 137972528404200 is 51673.0632242945
Scales and comparisons
How big is 137972528404200?- 137,972,528,404,200 seconds is equal to 4,387,099 years, 32 weeks, 3 days, 22 hours, 30 minutes.
-
To count from 1 to 137,972,528,404,200 would take you about ten million, nine hundred sixty-seven thousand, seven hundred forty-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 137972528404200 cubic inches would be around 4306.1 feet tall.
Recreational maths with 137972528404200
- 137972528404200 backwards is 002404825279731
- 137972528404200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137972528404200's digits is 54
- More coming soon!
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"Number 137972528404200 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 137972528404200 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/137972528404200/
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The information we have on file for 137972528404200 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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