137834072296416
137,834,072,296,416 is an even composite number composed of five prime numbers multiplied together.
What does the number 137834072296416 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
137834072296416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 137834072296416:
25 × 39 × 29 × 412 × 672
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 29 × 41 × 41 × 67 × 67)See below for interesting mathematical facts about the number 137834072296416 from the Numbermatics database.
Names of 137834072296416
- Cardinal: 137834072296416 can be written as One hundred thirty-seven trillion, eight hundred thirty-four billion, seventy-two million, two hundred ninety-six thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.37834072296416 × 1014
Factors of 137834072296416
Divisors of 137834072296416
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 41 48 54 58 67 72 81 82 87 96 108 116 123 134 144 162 164 174 201 216 232 243 246 261 268 288 324 328 348 369 402 432 464 486 492 522 536 603 648 656 696 729 738 783 804 864 928 972 984 1044 1072 1107 1189 1206 1296 1312 1392 1458 1476 1566 1608 1681 1809 1943 1944 1968 2088 2144 2187 2214 2349 2378 2412 2592 2747 2784 2916 2952 3132 3216 3321 3362 3567 3618 3886 3888 3936 4176 4374 4428 4489 4698 4756 4824 5043 5427 5494 5829 5832 5904 6264 6432 6561 6642 6724 7047 7134 7236 7772 7776 8241 8352 8748 8856 8978 9396 9512 9648 9963 10086 10701 10854 10988 11658 11664 11808 12528 13122 13284 13448 13467 14094 14268 14472 15129 15544 16281 16482 17487 17496 17712 17956 18792 19024 19296 19683 19926 20172 21141 21402 21708 21976 23316 23328 24723 25056 26244 26568 26896 26934 28188 28536 28944 29889 30258 31088 32103 32562 32964 34974 34992 35424 35912 37584 38048 39366 39852 40344 40401 42282 42804 43416 43952 45387 46632 48749 48843 49446 52461 52488 53136 53792 53868 56376 57072 57888 59778 60516 62176 63423 64206 65124 65928 69948 69984 71824 74169 75168 78732 79663 79704 80688 80802 84564 85608 86832 87904 89667 90774 93264 96309 97498 97686 98892 104922 104976 106272 107736 112627 112752 114144 119556 121032 121203 126846 128412 130181 130248 131856 136161 139896 143648 146247 146529 148338 157383 157464 159326 159408 161376 161604 169128 171216 173664 179334 181548 184049 186528 190269 192618 194996 195372 197784 209844 209952 215472 222507 225254 225504 238989 239112 242064 242406 253692 256824 260362 260496 263712 269001 272322 279792 288927 292494 293058 296676 314766 314928 318652 318816 323208 337881 338256 342432 358668 363096 363609 368098 380538 385236 389992 390543 390744 395568 408483 419688 430944 438741 439587 445014 450508 472149 477978 478224 484128 484812 507384 513648 520724 520992 538002 544644 552147 559584 570807 577854 584988 586116 593352 629532 629856 637304 646416 667521 675762 676512 716967 717336 726192 727218 736196 761076 770472 779984 781086 781488 791136 807003 816966 839376 866781 877482 879174 890028 901016 944298 955956 956448 969624 1013643 1014768 1027296 1041448 1076004 1089288 1090827 1104294 1141614 1155708 1169976 1171629 1172232 1186704 1225449 1259064 1274608 1292832 1316223 1318761 1335042 1351524 1416447 1433934 1434672 1452384 1454436 1472392 1522152 1540944 1559968 1562172 1562976 1614006 1633932 1656441 1678752 1733562 1754964 1758348 1780056 1802032 1888596 1911912 1939248 2002563 2027286 2029536 2082896 2150901 2152008 2178576 2181654 2208588 2283228 2311416 2339952 2343258 2344464 2373408 2450898 2518128 2549216 2600343 2632446 2637522 2670084 2703048 2832894 2867868 2869344 2908872 2944784 3040929 3044304 3081888 3124344 3228012 3266183 3267864 3272481 3312882 3467124 3509928 3514887 3516696 3560112 3604064 3676347 3777192 3823824 3878496 3948669 4005126 4054572 4165792 4249341 4301802 4304016 4357152 4363308 4417176 4566456 4622832 4679904 4686516 4688928 4901796 4969323 5036256 5200686 5264892 5275044 5337421 5340168 5406096 5665788 5735736 5817744 5889568 6007689 6081858 6088608 6248688 6452703 6456024 6532366 6535728 6544962 6625764 6934248 7019856 7029774 7033392 7120224 7352694 7546009 7554384 7647648 7801029 7897338 8010252 8109144 8498682 8603604 8608032 8726616 8834352 9122787 9132912 9245664 9373032 9798549 9803592 9817443 9938646 10401372 10529784 10544661 10550088 10674842 10680336 10812192 11029041 11331576 11471472 11635488 11846007 12015378 12163716 12497376 12748023 12905406 12912048 13064732 13071456 13089924 13251528 13868496 14039712 14059548 14066784 14705388 14907969 15092018 15108768 15602058 15794676 16012263 16020504 16218288 16997364 17207208 17453232 17668704 18023067 18245574 18265824 18746064 19358109 19597098 19607184 19634886 19877292 20802744 21059568 21089322 21100176 21349684 21360672 22058082 22638027 22663152 22942944 23403087 23692014 24030756 24327432 25496046 25810812 25824096 26129464 26179848 26503056 27368361 27736992 28119096 29395647 29410776 29452329 29815938 30184036 31204116 31589352 31633983 32024526 32041008 32436576 33087123 33994728 34414416 34906464 35538021 36046134 36491148 37492128 38244069 38716218 39194196 39214368 39269772 39754584 41605488 42119136 42178644 42200352 42699368 44116164 44723907 45276054 45326304 46806174 47384028 48036789 48061512 48654864 50992092 51621624 52258928 52359696 53006112 54069201 54736722 56238192 58074327 58791294 58821552 58904658 59631876 60368072 62408232 63178704 63267966 64049052 64082016 66174246 67914081 67989456 68828832 71076042 72092268 72982296 76488138 77432436 78388392 78539544 79509168 82105083 83210976 84357288 85398736 88186941 88232328 88356987 89447814 90552108 93612348 94768056 94901949 96073578 96123024 97309728 101984184 103243248 104517856 104719392 106614063 108138402 109473444 112476384 116148654 117582588 117643104 117809316 119263752 120736144 124816464 126357408 126535932 128098104 132348492 134171721 135828162 135978912 142152084 144110367 144184536 145964592 152976276 154864872 156776784 157079088 159018336 164210166 168714576 170797472 174222981 176373882 176464656 176713974 178895628 181104216 187224696 189536112 189803898 192147156 192246048 203742243 203968368 206486496 213228126 216276804 218834261 218946888 232297308 235165176 235618632 238527504 241472288 246315249 249632928 253071864 256196208 264560823 264696984 268343442 271656324 284304168 284705847 288220734 288369072 291929184 305952552 309729744 313553568 314158176 319842189 328420332 337429152 348445962 352747764 352929312 353427948 357791256 362208432 374449392 379072224 379607796 384294312 402515163 407484486 407936736 426456252 432331101 432553608 437668522 437893776 464594616 470330352 471237264 477055008 492630498 506143728 512392416 522668943 529121646 529393968 536686884 543312648 568608336 569411694 576441468 576738144 611226729 611905104 619459488 639684378 656502783 656840664 696891924 705495528 706855896 715582512 724416864 738945747 748898784 759215592 768588624 793682469 805030326 814968972 852912504 854117541 864662202 865107216 875337044 875787552 929189232 940660704 942474528 959526567 985260996 1012287456 1045337886 1058243292 1058787936 1073373768 1086625296 1137216672 1138823388 1152882936 1207545489 1222453458 1223810208 1279368756 1296993303 1313005566 1313681328 1393783848 1410991056 1413711792 1431165024 1477891494 1518431184 1537177248 1568006829 1587364938 1610060652 1629937944 1705825008 1708235082 1729324404 1730214432 1750674088 1833680187 1858378464 1919053134 1969508349 1970521992 2090675772 2116486584 2146747536 2173250592 2216837241 2277646776 2305765872 2381047407 2415090978 2444906916 2558737512 2562352623 2593986606 2626011132 2627362656 2787567696 2821982112 2827423584 2955782988 3036862368 3136013658 3174729876 3220121304 3259875888 3411650016 3416470164 3458648808 3501348176 3622636467 3667360374 3838106268 3890979909 3939016698 3941043984 4181351544 4232973168 4293495072 4433674482 4555293552 4611531744 4762094814 4830181956 4889813832 5117475024 5124705246 5187973212 5252022264 5501040561 5575135392 5908525047 5911565976 6272027316 6349459752 6440242608 6519751776 6832940328 6917297616 7002696352 7143142221 7245272934 7334720748 7676212536 7781959818 7878033396 7882087968 8362703088 8465946336 8867348964 9110587104 9524189628 9660363912 9779627664 10234950048 10249410492 10375946424 10504044528 11002081122 11672939727 11817050094 11823131952 12544054632 12698919504 12880485216 13665880656 13834595232 14286284442 14490545868 14669441496 15352425072 15563919636 15756066792 16503121683 16725406176 17725575141 17734697928 19048379256 19320727824 19559255328 20498820984 20751892848 21008089056 21429426663 22004162244 23345879454 23634100188 23646263904 25088109264 25397839008 27331761312 28572568884 28981091736 29338882992 30704850144 31127839272 31512133584 33006243366 35018819181 35451150282 35469395856 38096758512 38641455648 40997641968 41503785696 42858853326 44008324488 46691758908 47268200376 49509365049 50176218528 53176725423 57145137768 57962183472 58677765984 62255678544 63024267168 64288279989 66012486732 70037638362 70902300564 70938791712 76193517024 81995283936 85717706652 88016648976 93383517816 94536400752 99018730098 105056457543 106353450846 114290275536 115924366944 124511357088 128576559978 132024973464 140075276724 141804601128 148528095147 159530176269 171435413304 176033297952 186767035632 189072801504 198037460196 210112915086 212706901692 228580551072 257153119956 264049946928 280150553448 283609202256 297056190294 319060352538 342870826608 373534071264 396074920392 420225830172 425413803384 478590528807 514306239912 528099893856 560301106896 567218404512 594112380588 638120705076 685741653216 792149840784 840451660344 850827606768 957181057614 1028612479824 1120602213792 1188224761176 1276241410152 1435771586421 1584299681568 1680903320688 1701655213536 1914362115228 2057224959648 2376449522352 2552482820304 2871543172842 3361806641376 3828724230456 4307314759263 4752899044704 5104965640608 5743086345684 7657448460912 8614629518526 11486172691368 15314896921824 17229259037052 22972345382736 34458518074104 45944690765472 68917036148208 137834072296416
- Sum of all divisors σ(n): 438128300415960
- Sum of proper divisors (its aliquot sum) s(n): 300294228119544
- 137834072296416 is an abundant number, because the sum of its proper divisors (300294228119544) is greater than itself. Its abundance is 162460155823128
Bases of 137834072296416
- Binary: 111110101011011111111101110101011001011111000002
- Hexadecimal: 0x7D5BFEEACBE0
- Base-36: 1CUW3JVI00
Squares and roots of 137834072296416
- 137834072296416 squared (1378340722964162) is 18998231485813632659766445056
- 137834072296416 cubed (1378340722964163) is 2618603612119683006706733429510078609719296
-
The
square root of 137834072296416 is 11740275.6482297297 -
The
cube root of 137834072296416 is 51655.7727153195
Scales and comparisons
How big is 137834072296416?- 137,834,072,296,416 seconds is equal to 4,382,697 years, 7 weeks, 5 days, 16 hours, 33 minutes, 36 seconds.
-
To count from 1 to 137,834,072,296,416 would take you about ten million, nine hundred fifty-six thousand, seven hundred forty-two 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 137834072296416 cubic inches would be around 4304.6 feet tall.
Recreational maths with 137834072296416
- 137834072296416 backwards is 614692270438731
- The number of decimal digits it has is: 15
- The sum of 137834072296416's digits is 63
- More coming soon!
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The information we have on file for 137834072296416 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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