137961939923458200
137,961,939,923,458,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137961939923458200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
137961939923458200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137961939923458200:
23 × 33 × 52 × 11 × 23 × 61 × 1655446601
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 23 × 61 × 1655446601)See below for interesting mathematical facts about the number 137961939923458200 from the Numbermatics database.
Names of 137961939923458200
- Cardinal: 137961939923458200 can be written as One hundred thirty-seven quadrillion, nine hundred sixty-one trillion, nine hundred thirty-nine billion, nine hundred twenty-three million, four hundred fifty-eight thousand, two hundred.
Scientific notation
- Scientific notation: 1.379619399234582 × 1017
Factors of 137961939923458200
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1655446706
Divisors of 137961939923458200
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 23 24 25 27 30 33 36 40 44 45 46 50 54 55 60 61 66 69 72 75 88 90 92 99 100 108 110 115 120 122 132 135 138 150 165 180 183 184 198 200 207 216 220 225 230 244 253 264 270 275 276 297 300 305 330 345 360 366 396 414 440 450 460 488 495 506 540 549 550 552 575 594 600 610 621 660 671 675 690 732 759 792 825 828 900 915 920 990 1012 1035 1080 1098 1100 1150 1188 1220 1242 1265 1320 1342 1350 1380 1403 1464 1485 1518 1525 1647 1650 1656 1725 1800 1830 1980 2013 2024 2070 2196 2200 2277 2300 2376 2440 2475 2484 2530 2684 2700 2745 2760 2806 2970 3036 3050 3105 3294 3300 3355 3450 3660 3795 3960 4026 4140 4209 4392 4554 4575 4600 4950 4968 5060 5175 5368 5400 5490 5612 5940 6039 6072 6100 6210 6325 6588 6600 6710 6831 6900 7015 7320 7425 7590 8052 8235 8280 8418 9108 9150 9900 10065 10120 10350 10980 11224 11385 11880 12078 12200 12420 12627 12650 13176 13420 13662 13725 13800 14030 14850 15180 15433 15525 16104 16470 16775 16836 18117 18216 18300 18975 19800 20130 20700 21045 21960 22770 24156 24840 25254 25300 26840 27324 27450 28060 29700 30195 30360 30866 31050 32940 33550 33672 34155 35075 36234 36600 37881 37950 40260 41175 41400 42090 45540 46299 48312 50325 50508 50600 54648 54900 56120 56925 59400 60390 61732 62100 63135 65880 67100 68310 70150 72468 75762 75900 77165 80520 82350 84180 90585 91080 92598 100650 101016 105225 109800 113850 120780 123464 124200 126270 134200 136620 138897 140300 144936 150975 151524 151800 154330 164700 168360 170775 181170 185196 189405 201300 210450 227700 231495 241560 252540 273240 277794 280600 301950 303048 308660 315675 329400 341550 362340 370392 378810 385825 402600 416691 420900 452925 455400 462990 505080 555588 603900 617320 631350 683100 694485 724680 757620 771650 833382 841800 905850 925980 947025 1111176 1157475 1207800 1262700 1366200 1388970 1515240 1543300 1666764 1811700 1851960 1894050 2083455 2314950 2525400 2777940 3086600 3333528 3472425 3623400 3788100 4166910 4629900 5555880 6944850 7576200 8333820 9259800 10417275 13889700 16667640 20834550 27779400 41669100 83338200 1655446601 3310893202 4966339803 6621786404 8277233005 9932679606 13243572808 14899019409 16554466010 18209912611 19865359212 24831699015 29798038818 33108932020 36419825222 38075271823 39730718424 41386165025 44697058227 49663398030 54629737833 59596077636 66217864040 72839650444 74495097045 76150543646 82772330050 89394116454 91049563055 99326796060 100982242661 109259475666 114225815469 119192155272 124158495075 145679300888 148990194090 152301087292 163889213499 165544660100 178788232908 182099126110 190376359115 198653592120 201964485322 218518951332 223485291135 228451630938 248316990150 273148689165 297980388180 302946727983 304602174584 327778426998 331089320200 342677446407 357576465816 364198252220 372475485225 380752718230 403928970644 418827990053 437037902664 446970582270 455247815275 456903261876 491667640497 496633980300 504911213305 546297378330 571129077345 595960776360 605893455966 655556853996 685354892814 728396504440 744950970450 761505436460 807857941288 819446067495 837655980106 893941164540 908840183949 910495630550 913806523752 951881795575 983335280994 993267960600 1009822426610 1028032339221 1092594756660 1110804669271 1117426455675 1142258154690 1211786911932 1256483970159 1311113707992 1365743445825 1370709785628 1489901940900 1514733639915 1523010872920 1638892134990 1675311960212 1713387232035 1787882329080 1817680367898 1820991261100 1903763591150 1966670561988 2019644853220 2056064678442 2094139950265 2185189513320 2221609338542 2234852911350 2284516309380 2322591581203 2423573823864 2458338202485 2512967940318 2524556066525 2726520551847 2731486891650 2741419571256 2855645386725 2979803881800 3029467279830 3277784269980 3332414007813 3350623920424 3426774464070 3635360735796 3641982522200 3769451910477 3807527182300 3933341123976 4039289706440 4097230337475 4112129356884 4188279900530 4443218677084 4469705822700 4544200919745 4569032618760 4645183162406 4916676404970 5025935880636 5049112133050 5140161696105 5453041103694 5462973783300 5554023346355 5711290773450 6058934559660 6282419850795 6555568539960 6664828015626 6853548928140 6967774743609 7270721471592 7538903820954 7573668199575 7615054364600 8194460674950 8224258713768 8376559801060 8566936160175 8886437354168 8939411645400 9088401839490 9290366324812 9833352809940 9997242023439 10051871761272 10098224266100 10280323392210 10470699751325 10906082207388 10925947566600 11108046692710 11308355731431 11422581546900 11612957906015 12117869119320 12291691012425 12564839701590 13329656031252 13632602759235 13707097856280 13935549487218 15077807641908 15147336399150 16388921349900 16662070039065 16753119602120 17133872320350 18176803678980 18580732649624 18847259552385 19666705619880 19994484046878 20196448532200 20560646784420 20903324230827 20941399502650 21812164414776 22216093385420 22616711462862 22721004598725 22845163093800 23225915812030 24583382024850 25129679403180 25548507393233 25700808480525 26659312062504 27265205518470 27770116731775 27871098974436 29991726070317 30155615283816 30294672798300 31412099253975 32777842699800 33324140078130 34267744640700 34838873718045 36353607357960 37694519104770 39988968093756 41121293568840 41806648461654 41882799005300 44432186770840 45233422925724 45442009197450 46451831624060 49166764049700 49986210117195 50259358806360 51097014786466 51401616961050 54530411036940 55540233463550 55742197948872 56541778657155 58064789530075 59983452140634 60589345596600 62709972692481 62824198507950 66648280156260 68163013796175 68535489281400 69677747436090 75389038209540 76645522179699 79977936187512 83310350195325 83613296923308 83765598010600 90466845851448 90884018394900 92903663248120 94236297761925 98333528099400 99972420234390 102194029572932 102803233922100 104516621154135 109060822073880 111080466927100 113083557314310 116129579060150 119966904281268 125419945384962 125648397015900 127742536966165 133296560312520 136326027592350 139355494872180 149958630351585 150778076419080 153291044359398 166620700390650 167226593846616 174194368590225 181768036789800 188472595523850 199944840468780 204388059145864 205606467844200 209033242308270 222160933854200 226167114628620 229936566539097 232259158120300 239933808562536 249931050585975 250839890769924 251296794031800 255485073932330 272652055184700 278710989744360 282708893285775 299917260703170 306582088718796 313549863462405 333241400781300 348388737180450 376945191047700 383227610898495 399889680937560 418066484616540 452334229257240 459873133078194 464518316240600 499862101171950 501679781539848 510970147864660 522583105770675 545304110369400 565417786571550 599834521406340 613164177437592 627099726924810 638712684830825 666482801562600 689809699617291 696777474360900 749793151757925 753890382095400 766455221796990 836132969233080 919746266156388 999724202343900 1021940295729320 1045166211541350 1130835573143100 1149682832695485 1199669042812680 1254199453849620 1277425369661650 1379619399234582 1393554948721800 1499586303515850 1532910443593980 1567749317312025 1839492532312776 1916138054492475 1999448404687800 2090332423082700 2261671146286200 2299365665390970 2508398907699240 2554850739323300 2759238798469164 2999172607031700 3065820887187960 3135498634624050 3449048498086455 3832276108984950 4180664846165400 4598731330781940 5109701478646600 5518477596938328 5748414163477425 5998345214063400 6270997269248100 6898096996172910 7664552217969900 9197462661563880 11496828326954850 12541994538496200 13796193992345820 15329104435939800 17245242490432275 22993656653909700 27592387984691640 34490484980864550 45987313307819400 68980969961729100 137961939923458200
- Sum of all divisors σ(n): 549809574170803200
- Sum of proper divisors (its aliquot sum) s(n): 411847634247345000
- 137961939923458200 is an abundant number, because the sum of its proper divisors (411847634247345000) is greater than itself. Its abundance is 273885694323886800
Bases of 137961939923458200
- Binary: 1111010100010001110100111010001011010100101011000100110002
- Hexadecimal: 0x1EA23A745A95898
- Base-36: 11QFFC8UP2U0
Squares and roots of 137961939923458200
- 137961939923458200 squared (1379619399234582002) is 19033496867443889567674647147240000
- 137961939923458200 cubed (1379619399234582003) is 2625898151359623735373638902737656738585385368000000
-
The
square root of 137961939923458200 is 371432281.7465630571 -
The
cube root of 137961939923458200 is 516717.4133498273
Scales and comparisons
How big is 137961939923458200?- 137,961,939,923,458,200 seconds is equal to 4,386,762,945 years, 13 weeks, 6 days, 1 hour, 30 minutes.
-
To count from 1 to 137,961,939,923,458,200 would take you about thirteen billion, one hundred sixty million, two hundred eighty-eight thousand, eight hundred thirty-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 137961939923458200 cubic inches would be around 43059.8 feet tall.
Recreational maths with 137961939923458200
- 137961939923458200 backwards is 002854329939169731
- The number of decimal digits it has is: 18
- The sum of 137961939923458200's digits is 81
- More coming soon!
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The information we have on file for 137961939923458200 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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