137709631731420
137,709,631,731,420 is an even composite number composed of seven prime numbers multiplied together.
137709631731420 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 137709631731420:
22 × 32 × 5 × 72 × 137 × 4212 × 643
(2 × 2 × 3 × 3 × 5 × 7 × 7 × 137 × 421 × 421 × 643)See below for interesting mathematical facts about the number 137709631731420 from the Numbermatics database.
Names of 137709631731420
- Cardinal: 137709631731420 can be written as One hundred thirty-seven trillion, seven hundred nine billion, six hundred thirty-one million, seven hundred thirty-one thousand, four hundred twenty.
Scientific notation
- Scientific notation: 1.3770963173142 × 1014
Factors of 137709631731420
Divisors of 137709631731420
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 137 140 147 180 196 210 245 252 274 294 315 411 420 421 441 490 548 588 630 643 685 735 822 842 882 959 980 1233 1260 1263 1286 1370 1470 1644 1684 1764 1918 1929 2055 2105 2205 2466 2526 2572 2740 2877 2940 2947 3215 3789 3836 3858 4110 4210 4410 4501 4795 4932 5052 5754 5787 5894 6165 6315 6430 6713 7578 7716 8220 8420 8631 8820 8841 9002 9590 9645 11508 11574 11788 12330 12630 12860 13426 13503 14385 14735 15156 17262 17682 18004 18945 19180 19290 20139 20629 22505 23148 24660 25260 26523 26852 27006 28770 28935 29470 31507 33565 34524 35364 37890 38580 40278 40509 41258 43155 44205 45010 53046 54012 57540 57677 57870 58940 60417 61887 63014 67130 67515 75780 80556 81018 82516 86310 88091 88410 90020 94521 100695 103145 106092 115354 115740 120834 123774 126028 132615 134260 135030 157535 162036 172620 173031 176182 176820 177241 185661 189042 201390 202545 206290 230708 241668 247548 264273 265230 270060 270703 283563 288385 302085 309435 315070 346062 352364 354482 371322 378084 402780 403739 405090 412580 440455 472605 519093 528546 530460 531723 541406 567126 576770 604170 616637 618870 630140 692124 708964 742644 792819 807478 810180 812109 865155 880910 886205 928305 945210 1038186 1057092 1063446 1082812 1134252 1153540 1208340 1211217 1233274 1237740 1240687 1321365 1353515 1417815 1585638 1595169 1614956 1624218 1730310 1761820 1772410 1849911 1856610 1890420 1894921 2018695 2076372 2126892 2422434 2436327 2466548 2481374 2595465 2642730 2658615 2707030 2826173 2835630 3083185 3171276 3190338 3248436 3460620 3544820 3633651 3699822 3713220 3722061 3789842 3964095 4037390 4060545 4316459 4844868 4872654 4962748 5190930 5285460 5317230 5414060 5549733 5652346 5671260 5684763 6056085 6166370 6203435 6380676 7267302 7399644 7444122 7579684 7928190 7975845 8074780 8121090 8478519 8632918 8684809 9249555 9474605 9745308 10381860 10634460 11099466 11166183 11304692 11369526 12112170 12181635 12332740 12406870 12949377 13264447 14130865 14534604 14888244 15856380 15951690 16242180 16957038 17054289 17265836 17369618 18168255 18499110 18610305 18949210 21582295 22198932 22332366 22739052 24224340 24282017 24363270 24813740 25435557 25898754 26054427 26528894 27748665 28261730 28423815 31903380 33914076 34108578 34739236 36336510 36998220 37086311 37220610 37898420 38848131 39793341 42392595 43164590 43424045 44664732 48564034 48726540 50871114 51797508 52108854 53057788 55497330 55830915 56523460 56847630 64746885 66322235 68217156 72673020 72846051 74172622 74441220 77696262 78163281 79586682 84785190 85271445 86329180 86848090 97128068 101742228 104217708 110994660 111258933 111661830 113695260 113965963 119380023 121410085 127177785 129493770 130272135 132644470 145692102 148345244 155392524 156326562 159173364 169570380 169974119 170542890 173696180 185431555 194240655 198966705 218538153 222517866 223323660 227931926 238760046 242820170 254355570 258987540 259604177 260544270 265288940 291384204 312653124 333776799 339948238 341085780 341897889 364230255 370863110 388481310 390816405 397933410 437076306 445035732 455863852 477520092 485640340 508711140 509922357 519208354 521088540 556294665 569829815 596900115 667553598 679896476 683795778 728460510 741726220 776962620 778812531 781632810 795866820 797761741 849870595 874152612 1019844714 1025693667 1038416708 1092690765 1112589330 1139659630 1189818833 1193800230 1298020885 1335107196 1367591556 1456921020 1529767071 1557625062 1563265620 1595523482 1668883995 1699741190 1709489445 1817229239 2039689428 2051387334 2185381530 2225178660 2279319260 2336437593 2379637666 2387600460 2393285223 2549611785 2596041770 3059534142 3115250124 3191046964 3337767990 3399482380 3418978890 3569456499 3634458478 3894062655 3988808705 4102774668 4370763060 4672875186 4759275332 4786570446 5099223570 5128468335 5192083540 5451687717 5584332187 5949094165 6119068284 6675535980 6837957780 7138912998 7179855669 7268916956 7648835355 7788125310 7977617410 9086146195 9345750372 9573140892 10198447140 10256936670 10708369497 10903375434 11168664374 11682187965 11898188330 11966426115 14277825996 14359711338 15297670710 15576250620 15613336931 15955234820 16355063151 16752996561 17847282495 18172292390 20513873340 21416738994 21806750868 22337328748 23364375930 23796376660 23932852230 27258438585 27921660935 28719422676 30595341420 31226673862 32710126302 33505993122 35694564990 35899278345 36344584780 42833477988 46728751860 46840010793 47865704460 50258989683 53541847485 54516877170 55843321870 62453347724 65420252604 67011986244 71389129980 71798556690 78066684655 81775315755 83764982805 93680021586 100517979366 107083694970 109033754340 109293358517 111686643740 140520032379 143597113380 156133369310 163550631510 167529965610 187360043172 201035958732 214167389940 218586717034 234200053965 251294948415 281040064758 312266738620 327101263020 327880075551 335059931220 437173434068 468400107930 502589896830 546466792585 562080129516 655760151102 702600161895 765053509619 936800215860 983640226653 1005179793660 1092933585170 1311520302204 1405200323790 1530107019238 1639400377755 1967280453306 2185867170340 2295160528857 2810400647580 3060214038476 3278800755510 3825267548095 3934560906612 4590321057714 4918201133265 6557601511020 6885481586571 7650535096190 9180642115428 9836402266530 11475802644285 13770963173142 15301070192380 19672804533060 22951605288570 27541926346284 34427407932855 45903210577140 68854815865710 137709631731420
- Sum of all divisors σ(n): 491393540684592
- Sum of proper divisors (its aliquot sum) s(n): 353683908953172
- 137709631731420 is an abundant number, because the sum of its proper divisors (353683908953172) is greater than itself. Its abundance is 215974277221752
Bases of 137709631731420
- Binary: 111110100111111000001011010111001110110110111002
- Hexadecimal: 0x7D3F05AE76DC
- Base-36: 1CTAXJ6BJ0
Squares and roots of 137709631731420
- 137709631731420 squared (1377096317314202) is 18963942671603318147015216400
- 137709631731420 cubed (1377096317314203) is 2611517561482254069265168160919017979288000
-
The
square root of 137709631731420 is 11734974.7222318293 -
The
cube root of 137709631731420 is 51640.2225955537
Scales and comparisons
How big is 137709631731420?- 137,709,631,731,420 seconds is equal to 4,378,740 years, 16 weeks, 6 days, 8 hours, 57 minutes.
-
To count from 1 to 137,709,631,731,420 would take you about ten million, nine hundred forty-six thousand, eight hundred fifty 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 137709631731420 cubic inches would be around 4303.4 feet tall.
Recreational maths with 137709631731420
- 137709631731420 backwards is 024137136907731
- The number of decimal digits it has is: 15
- The sum of 137709631731420's digits is 54
- More coming soon!
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The information we have on file for 137709631731420 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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