137305335055720000
137,305,335,055,720,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137305335055720000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1680 divisors.
137305335055720000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 137305335055720000:
26 × 54 × 133 × 195 × 631
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 19 × 19 × 19 × 19 × 19 × 631)See below for interesting mathematical facts about the number 137305335055720000 from the Numbermatics database.
Names of 137305335055720000
- Cardinal: 137305335055720000 can be written as One hundred thirty-seven quadrillion, three hundred five trillion, three hundred thirty-five billion, fifty-five million, seven hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3730533505572 × 1017
Factors of 137305335055720000
Divisors of 137305335055720000
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 64 65 76 80 95 100 104 125 130 152 160 169 190 200 208 247 250 260 304 320 325 338 361 380 400 416 475 494 500 520 608 625 631 650 676 722 760 800 832 845 950 988 1000 1040 1216 1235 1250 1262 1300 1352 1444 1520 1600 1625 1690 1805 1900 1976 2000 2080 2197 2375 2470 2500 2524 2600 2704 2888 3040 3155 3211 3250 3380 3610 3800 3952 4000 4160 4225 4394 4693 4750 4940 5000 5048 5200 5408 5776 6080 6175 6310 6422 6500 6760 6859 7220 7600 7904 8000 8125 8203 8450 8788 9025 9386 9500 9880 10000 10096 10400 10816 10985 11552 11875 11989 12350 12620 12844 13000 13520 13718 14440 15200 15775 15808 16055 16250 16406 16900 17576 18050 18772 19000 19760 20000 20192 20800 21125 21970 23104 23465 23750 23978 24700 25240 25688 26000 27040 27436 28880 30400 30875 31550 32110 32500 32812 33800 34295 35152 36100 37544 38000 39520 40000 40384 41015 41743 42250 43940 45125 46930 47500 47956 49400 50480 51376 52000 54080 54872 54925 57760 59945 61009 61750 63100 64220 65000 65624 67600 68590 70304 72200 75088 76000 78875 79040 80275 82030 83486 84500 87880 89167 90250 93860 95000 95912 98800 100960 102752 104000 105625 106639 109744 109850 115520 117325 119890 122018 123500 126200 128440 130000 130321 131248 135200 137180 140608 144400 150176 152000 154375 155857 157750 160550 164060 166972 169000 171475 175760 178334 180500 187720 190000 191824 197600 201920 205075 205504 208715 211250 213278 219488 219700 225625 227791 234650 239780 244036 247000 252400 256880 260000 260642 262496 270400 274360 274625 288800 299725 300352 305045 308750 311714 315500 321100 328120 333944 338000 342950 351520 356668 361000 375440 380000 383648 394375 395200 401375 410150 417430 422500 426556 438976 439400 445835 451250 455582 469300 479560 488072 494000 504800 513760 520000 521284 524992 533195 548720 549250 577600 586625 599450 610090 617500 623428 631000 642200 651605 656240 667888 676000 685900 703040 713336 722000 750880 760000 767296 779285 788750 793117 802750 820300 834860 845000 853112 857375 878800 891670 902500 911164 938600 959120 976144 988000 1009600 1025375 1027520 1042568 1043575 1066390 1097440 1098500 1138955 1159171 1173250 1198900 1220180 1235000 1246856 1262000 1284400 1303210 1312480 1335776 1352000 1371800 1373125 1386307 1426672 1444000 1498625 1501760 1525225 1558570 1577500 1586234 1605500 1640600 1669720 1690000 1694173 1706224 1714750 1757600 1783340 1805000 1822328 1877200 1918240 1952288 1976000 2006875 2026141 2050750 2085136 2087150 2132780 2194880 2197000 2229175 2277910 2318342 2346500 2397800 2440360 2470000 2476099 2493712 2524000 2568800 2606420 2624960 2665975 2671552 2743600 2746250 2772614 2853344 2888000 2933125 2961283 2997250 3050450 3117140 3155000 3172468 3211000 3258025 3281200 3339440 3380000 3388346 3412448 3429500 3515200 3566680 3610000 3644656 3754400 3836480 3896425 3904576 3965585 4013750 4052282 4101500 4170272 4174300 4265560 4286875 4328029 4394000 4458350 4555820 4636684 4693000 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649966083104 657860408000 668139476875 669537169600 679998687875 694865055950 715788092500 722659658188 731436901000 760694377040 769933580000 781209234500 800730923200 812457603880 822325510000 836921462000 855218530400 870398320480 880969960000 889427271616 903324572735 914296126250 950867971300 976511543125 1000913654000 1015572004850 1046151827500 1053593320000 1056194885044 1069023163000 1087997900600 1111784089520 1125287540000 1145260948000 1170299041600 1188584964125 1249934775200 1251142067500 1287571480000 1299932166208 1320243606305 1336278953750 1359997375750 1389730111900 1431576185000 1445319316376 1462873802000 1521388754080 1539867160000 1562418469000 1624915207760 1644651020000 1673842924000 1710437060800 1737162639875 1740796640960 1806649145470 1828592252500 1901735942600 1953023086250 2001827308000 2031144009700 2092303655000 2112389770088 2138046326000 2175995801200 2223568179040 2250575080000 2290521896000 2377169928250 2499869550400 2502284135000 2538930012125 2640487212610 2672557907500 2719994751500 2779460223800 2863152370000 2890638632752 2925747604000 3042777508160 3124836938000 3249830415520 3289302040000 3347685848000 3399993439375 3432633376393 3474325279750 3613298290940 3657184505000 3803471885200 3906046172500 4003654616000 4062288019400 4184607310000 4224779540176 4276092652000 4351991602400 4447136358080 4516622863675 4754339856500 5004568270000 5077860024250 5280974425220 5345115815000 5439989503000 5558920447600 5726304740000 5781277265504 5851495208000 5942924820625 6249673876000 6499660831040 6601218031525 6799986878750 6865266752786 6948650559500 7226596581880 7314369010000 7606943770400 7812092345000 8124576038800 8369214620000 8449559080352 8552185304000 8685813199375 8703983204800 9033245727350 9508679713000 10009136540000 10155720048500 10561948850440 10690231630000 10879979006000 11117840895200 11452609480000 11562554531008 11885849641250 12499347752000 12694650060625 13202436063050 13599973757500 13730533505572 13897301119000 14453193163760 14628738020000 15213887540800 15624184690000 16249152077600 16738429240000 16899118160704 17163166881965 17371626398750 18066491454700 19017359426000 20018273080000 20311440097000 21123897700880 21380463260000 21759958012000 22235681790400 22583114318375 23771699282500 25389300121250 26404872126100 27199947515000 27461067011144 27794602238000 28906386327520 29257476040000 31248369380000 32498304155200 33006090157625 34326333763930 34743252797500 36132982909400 38034718852000 40622880194000 42247795401760 42760926520000 43519916024000 45166228636750 47543398565000 50778600242500 52809744252200 54399895030000 54922134022288 55589204476000 57812772655040 62496738760000 66012180315250 68652667527860 69486505595000 72265965818800 76069437704000 81245760388000 84495590803520 85815834409825 90332457273500 95086797130000 101557200485000 105619488504400 108799790060000 109844268044576 111178408952000 112915571591875 132024360630500 137305335055720 138973011190000 144531931637600 162491520776000 165030450788125 171631668819650 180664914547000 190173594260000 203114400970000 211238977008800 217599580120000 219688536089152 225831143183750 264048721261000 274610670111440 277946022380000 289063863275200 330060901576250 343263337639300 361329829094000 380347188520000 406228801940000 422477954017600 429079172049125 451662286367500 528097442522000 549221340222880 555892044760000 660121803152500 686526675278600 722659658188000 812457603880000 858158344098250 903324572735000 1056194885044000 1098442680445760 1320243606305000 1373053350557200 1445319316376000 1716316688196500 1806649145470000 2112389770088000 2145395860245625 2640487212610000 2746106701114400 3432633376393000 3613298290940000 4290791720491250 5280974425220000 5492213402228800 6865266752786000 7226596581880000 8581583440982500 10561948850440000 13730533505572000 17163166881965000 27461067011144000 34326333763930000 68652667527860000 137305335055720000
- Sum of all divisors σ(n): 389940084582787200
- Sum of proper divisors (its aliquot sum) s(n): 252634749527067200
- 137305335055720000 is an abundant number, because the sum of its proper divisors (252634749527067200) is greater than itself. Its abundance is 115329414471347200
Bases of 137305335055720000
- Binary: 1111001111100111001111001100010011100001100011110010000002
- Hexadecimal: 0x1E7CE7989C31E40
- Base-36: 11JYOG4THAV4
Squares and roots of 137305335055720000
- 137305335055720000 squared (1373053350557200002) is 18852755034763531535504718400000000
- 137305335055720000 cubed (1373053350557200003) is 2588583846771618853802563731150986909248000000000000
-
The
square root of 137305335055720000 is 370547345.2282717407 -
The
cube root of 137305335055720000 is 515896.3684475205
Scales and comparisons
How big is 137305335055720000?- 137,305,335,055,720,000 seconds is equal to 4,365,884,941 years, 25 weeks, 1 day, 11 hours, 6 minutes, 40 seconds.
-
To count from 1 to 137,305,335,055,720,000 would take you about thirteen billion, ninety-seven million, six hundred fifty-four thousand, eight hundred twenty-four 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 137305335055720000 cubic inches would be around 42991.4 feet tall.
Recreational maths with 137305335055720000
- 137305335055720000 backwards is 000027550533503731
- The number of decimal digits it has is: 18
- The sum of 137305335055720000's digits is 49
- More coming soon!
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"Number 137305335055720000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
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Numbermatics. (2024). Number 137305335055720000 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/137305335055720000/
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The information we have on file for 137305335055720000 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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