137912536014986912400
137,912,536,014,986,912,400 is an even composite number composed of six prime numbers multiplied together.
137912536014986912400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 137912536014986912400:
24 × 32 × 52 × 132 × 3169 × 47512
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 3169 × 4751 × 4751)See below for interesting mathematical facts about the number 137912536014986912400 from the Numbermatics database.
Names of 137912536014986912400
- Cardinal: 137912536014986912400 can be written as One hundred thirty-seven quintillion, nine hundred twelve quadrillion, five hundred thirty-six trillion, fourteen billion, nine hundred eighty-six million, nine hundred twelve thousand, four hundred.
Scientific notation
- Scientific notation: 1.379125360149869124 × 1020
Factors of 137912536014986912400
Divisors of 137912536014986912400
- Number of divisors d(n): 810
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 36 39 40 45 48 50 52 60 65 72 75 78 80 90 100 104 117 120 130 144 150 156 169 180 195 200 208 225 234 240 260 300 312 325 338 360 390 400 450 468 507 520 585 600 624 650 676 720 780 845 900 936 975 1014 1040 1170 1200 1300 1352 1521 1560 1690 1800 1872 1950 2028 2340 2535 2600 2704 2925 3042 3120 3169 3380 3600 3900 4056 4225 4680 4751 5070 5200 5850 6084 6338 6760 7605 7800 8112 8450 9360 9502 9507 10140 11700 12168 12675 12676 13520 14253 15210 15600 15845 16900 19004 19014 20280 23400 23755 24336 25350 25352 28506 28521 30420 31690 33800 38008 38025 38028 40560 41197 42759 46800 47510 47535 50700 50704 57012 57042 60840 61763 63380 67600 71265 76016 76050 76056 79225 82394 85518 95020 95070 101400 114024 114084 118775 121680 123526 123591 126760 142530 142605 152100 152112 158450 164788 171036 185289 190040 190140 202800 205985 213795 228048 228168 237550 237675 247052 247182 253520 285060 285210 304200 308815 316900 329576 342072 356325 370578 370773 380080 380280 411970 427590 456336 475100 475350 494104 494364 535561 555867 570120 570420 608400 617630 617955 633800 659152 684144 712650 713025 741156 741546 760560 802919 823940 855180 926445 950200 950700 988208 988728 1029925 1068975 1071122 1111734 1140240 1140840 1235260 1235910 1267600 1425300 1426050 1482312 1483092 1544075 1605838 1606683 1647880 1710360 1852890 1853865 1900400 1901400 1977456 2059850 2137950 2142244 2223468 2281680 2408757 2470520 2471820 2677805 2779335 2850600 2852100 2964624 2966184 3088150 3089775 3211676 3213366 3295760 3420720 3705780 3707730 3802800 4014595 4119700 4275900 4284488 4446936 4632225 4817514 4820049 4941040 4943640 5355610 5558670 5701200 5704200 5932368 6176300 6179550 6423352 6426732 7226271 7411560 7415460 8029190 8033415 8239400 8551800 8568976 8893872 9264450 9269325 9635028 9640098 9887280 10711220 11117340 11408400 12043785 12352600 12359100 12846704 12853464 13389025 13896675 14452542 14823120 14830920 15055919 16058380 16066830 16478800 17103600 18528900 18538650 19270056 19280196 20072975 21422440 22234680 22572001 24087570 24100245 24705200 24718200 25706928 26778050 27793350 28905084 29661840 30111838 32116760 32133660 36131355 37057800 37077300 38540112 38560392 40145950 40167075 42844880 44469360 45144002 45167757 48175140 48200490 49436400 53556100 55586700 57810168 60218925 60223676 64233520 64267320 67716003 72262710 74115600 74154600 75279595 77120784 80291900 80334150 90288004 90335514 96350280 96400980 107112200 111173400 112860005 115620336 120437850 120447352 120501225 128534640 135432006 135503271 144525420 148309200 150559190 160583800 160668300 180576008 180656775 180671028 192700560 192801960 195726947 203148009 214224400 222346800 225720010 225838785 240875700 240894704 241002450 270864012 271006542 289050840 293436013 301118380 321167600 321336600 338580015 361152016 361313550 361342056 376397975 385603920 391453894 406296018 451440020 451677570 481751400 482004900 541728024 542013084 564300025 578101680 586872026 587180841 602236760 642673200 677160030 677516355 722627100 722684112 752795950 782907788 812592036 880308039 902880040 903355140 963502800 964009800 978634735 1015740045 1083456048 1084026168 1128600050 1129193925 1173744052 1174361682 1204473520 1354320060 1355032710 1445254200 1467180065 1505591900 1565815576 1625184072 1692900075 1760616078 1761542523 1805760080 1806710280 1928019600 1957269470 2031480090 2168052336 2257200100 2258387850 2347488104 2348723364 2544450311 2640924117 2708640120 2710065420 2890508400 2934360130 2935904205 3011183800 3131631152 3250368144 3385800150 3387581775 3521232156 3523085046 3613420560 3814668169 3914538940 4062960180 4401540195 4514400200 4516775700 4694976208 4697446728 4893173675 5078700225 5088900622 5281848234 5417280240 5420130840 5868720260 5871808410 6022367600 6771600300 6775163550 7042464312 7046170092 7335900325 7629336338 7633350933 7829077880 8125920360 8803080390 8807712615 9028800400 9033551400 9394893456 9786347350 10157400450 10177801244 10563696468 10840261680 11444004507 11737440520 11743616820 12722251555 13204620585 13543200600 13550327100 14084928624 14092340184 14671800650 14679521025 15258672676 15266701866 15658155760 16251840720 17606160780 17615425230 18067102800 19073340845 19572694700 20314800900 20355602488 21127392936 22007700975 22888009014 22900052799 23474881040 23487233640 25444503110 26409241170 27086401200 27100654200 28184680368 29343601300 29359042050 30517345352 30533403732 34332013521 35212321560 35230850460 38146681690 38166754665 39145389400 40629601800 40711204976 42254785872 44015401950 44038563075 45776018028 45800105598 46974467280 50889006220 52818482340 54201308400 57220022535 58687202600 58718084100 61034690704 61066807464 63611257775 66023102925 68664027042 70424643120 70461700920 71530671169 76293363380 76333509330 78290778800 81259203600 88030803900 88077126150 91552036056 91600211196 95366704225 101778012440 105636964680 114440045070 114500263995 117374405200 117436168200 122133614928 127222515550 132046205850 137328054084 140923401840 143061342338 152586726760 152667018660 171660067605 176061607800 176154252300 183104072112 183200422392 190733408450 190833773325 203556024880 211273929360 214592013507 228880090140 229000527990 234872336400 254445031100 264092411700 274656108168 286100112675 286122684676 305173453520 305334037320 343320135210 352123215600 352308504600 357653355845 366400844784 381466816900 381667546650 429184027014 457760180280 458001055980 508890062200 528184823400 549312216336 572200225350 572245369352 572501319975 610668074640 643776040521 686640270420 704617009200 715306711690 762933633800 763335093300 858300338025 858368054028 915520360560 916002111960 929898725197 1017780124400 1056369646800 1072960067535 1144400450700 1144490738704 1145002639950 1287552081042 1373280540840 1430613423380 1525867267600 1526670186600 1716600676050 1716736108056 1788266779225 1832004223920 1859797450394 2145920135070 2288800901400 2290005279900 2575104162084 2746561081680 2789696175591 2861226846760 3053340373200 3218880202605 3433201352100 3433472216112 3576533558450 3719594900788 4291840270140 4577601802800 4580010559800 4649493625985 5150208324168 5364800337675 5579392351182 5722453693520 6437760405210 6866402704200 7153067116900 7439189801576 8369088526773 8583680540280 9160021119600 9298987251970 10300416648336 10729600675350 11158784702364 12088683427561 12875520810420 13732805408400 13948480877955 14306134233800 14878379603152 16094401013025 16738177053546 17167361080560 18597974503940 21459201350700 22317569404728 23247468129925 24177366855122 25751041620840 27896961755910 28612268467600 32188802026050 33476354107092 36266050282683 37195949007880 41845442633865 42918402701400 44635138809456 46494936259850 48354733710244 51502083241680 55793923511820 60443417137805 64377604052100 66952708214184 69742404389775 72532100565366 74391898015760 83690885267730 85836805402800 92989872519700 96709467420488 108798150848049 111587847023640 120886834275610 128755208104200 133905416428368 139484808779550 145064201130732 167381770535460 181330251413415 185979745039400 193418934840976 209227213169325 217596301696098 223175694047280 241773668551220 257510416208400 278969617559100 290128402261464 302217085689025 334763541070920 362660502826830 371959490078800 418454426338650 435192603392196 483547337102440 543990754240245 557939235118200 580256804522928 604434171378050 669527082141840 725321005653660 836908852677300 870385206784392 906651257067075 967094674204880 1087981508480490 1115878470236400 1208868342756100 1450642011307320 1673817705354600 1740770413568784 1813302514134150 2175963016960980 2417736685512200 2719953771201225 2901284022614640 3347635410709200 3626605028268300 4351926033921960 4835473371024400 5439907542402450 7253210056536600 8703852067843920 10879815084804900 14506420113073200 21759630169609800 43519260339219600
- Sum of all divisors σ(n): 138032637577931787990
- Sum of proper divisors (its aliquot sum) s(n): 120101562944875590
- 137912536014986912400 is a deficient number, because the sum of its proper divisors (120101562944875590) is less than itself. Its deficiency is 137792434452042036810
Bases of 137912536014986912400
- Binary: 11101111001111010111100000011010000010011101000111110100010100100002
- Hexadecimal: 0x779EBC0D04E8FA290
- Base-36: T3SM1W3OBXXG0
Squares and roots of 137912536014986912400
- 137912536014986912400 squared (1379125360149869124002) is 19019867590085062192012300343285273760000
- 137912536014986912400 cubed (1379125360149869124003) is 2623078174017888472050339219156383000663161686051138624000000
-
137912536014986912400 is a
perfect square number . Itssquare root is 11743616820 -
The
cube root of 137912536014986912400 is 5166557.2747816701
Scales and comparisons
How big is 137912536014986912400?- 137,912,536,014,986,912,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,912,536,014,986,912,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137912536014986912400 cubic inches would be around 430546.4 feet tall.
Recreational maths with 137912536014986912400
- 137912536014986912400 backwards is 004219689410635219731
- The number of decimal digits it has is: 21
- The sum of 137912536014986912400's digits is 81
- More coming soon!
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The information we have on file for 137912536014986912400 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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