137744139434304
137,744,139,434,304 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137744139434304 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 896 divisors.
137744139434304 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 137744139434304:
26 × 3 × 13 × 17 × 61 × 73 × 89 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 17 × 61 × 73 × 89 × 8191)See below for interesting mathematical facts about the number 137744139434304 from the Numbermatics database.
Names of 137744139434304
- Cardinal: 137744139434304 can be written as One hundred thirty-seven trillion, seven hundred forty-four billion, one hundred thirty-nine million, four hundred thirty-four thousand, three hundred four.
Scientific notation
- Scientific notation: 1.37744139434304 × 1014
Factors of 137744139434304
Divisors of 137744139434304
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 61 64 68 73 78 89 96 102 104 122 136 146 156 178 183 192 204 208 219 221 244 267 272 292 312 356 366 408 416 438 442 488 534 544 584 624 663 712 732 793 816 832 876 884 949 976 1037 1068 1088 1157 1168 1241 1248 1326 1424 1464 1513 1586 1632 1752 1768 1898 1952 2074 2136 2314 2336 2379 2482 2496 2652 2847 2848 2928 3026 3111 3172 3264 3471 3504 3536 3723 3796 3904 4148 4272 4453 4539 4628 4672 4758 4964 5304 5429 5694 5696 5856 6052 6222 6344 6497 6942 7008 7072 7446 7592 8191 8296 8544 8906 9078 9256 9516 9928 10608 10858 11388 11712 12104 12444 12688 12994 13359 13481 13884 14016 14144 14892 15184 16133 16287 16382 16592 17088 17812 18156 18512 19032 19491 19669 19856 21216 21716 22776 24208 24573 24888 25376 25988 26718 26962 27768 29784 30368 32266 32574 32764 33184 35624 36312 37024 38064 38982 39338 39712 40443 42432 43432 45552 48399 48416 49146 49776 50752 51976 53436 53924 55536 57889 59007 59568 60736 64532 65148 65528 66368 70577 71248 72624 74048 75701 76128 77964 78676 79424 80886 84461 86864 91104 92293 96798 96832 98292 99552 103952 106483 106872 107848 110449 111072 115778 118014 119136 129064 130296 131056 139247 141154 142496 145248 151402 152256 155928 157352 161772 168922 173667 173728 182208 184586 193596 196584 199104 207904 211731 212966 213744 215696 220898 222144 227103 231556 236028 238272 253383 258128 260592 262112 276879 278494 282308 284992 290496 302804 311856 314704 319449 323544 331347 337844 347334 347456 369172 387192 393168 396317 415808 417741 423462 425932 427488 431392 441796 454206 463112 472056 499651 506766 516256 521184 524224 553758 556988 564616 597943 605608 623712 629408 638898 647088 662694 675688 694668 728999 738344 774384 786336 792634 835482 846924 851864 854976 862784 883592 908412 926224 944112 984113 999302 1013532 1032512 1042368 1107516 1113976 1129232 1188951 1195886 1199809 1211216 1247424 1258816 1277796 1294176 1325388 1351376 1389336 1435837 1457998 1476688 1498953 1548768 1572672 1585268 1670964 1693848 1703728 1767184 1793829 1810211 1816824 1852448 1888224 1968226 1998604 2027064 2186997 2215032 2227952 2258464 2377902 2391772 2399618 2422432 2555592 2588352 2650776 2702752 2778672 2871674 2915996 2952339 2953376 2997906 3097536 3170536 3341928 3387696 3407456 3534368 3587658 3599427 3620422 3633648 3704896 3776448 3936452 3997208 4054128 4307511 4373994 4430064 4455904 4516928 4755804 4783544 4799236 4844864 5111184 5152121 5301552 5405504 5430633 5557344 5743348 5831992 5904678 5906752 5995812 6341072 6495463 6683856 6737389 6775392 6814912 7068736 7175316 7198854 7240844 7267296 7773259 7872904 7994416 8108256 8494067 8615022 8747988 8860128 8911808 9476987 9511608 9567088 9598472 10165031 10222368 10304242 10603104 10861266 11114688 11486696 11663984 11809356 11991624 12392983 12682144 12990926 13367712 13474778 13550784 14350632 14397708 14481688 14534592 15456363 15546518 15745808 15988832 16216512 16988134 17230044 17495976 17720256 18953974 19023216 19134176 19196944 19486389 20212167 20330062 20444736 20608484 21206208 21722532 22973392 23319777 23327968 23618712 23983248 24785966 25364288 25482201 25981852 26735424 26949556 28430961 28701264 28795416 28963376 30495093 30912726 31093036 31491616 31977664 33976268 34460088 34991952 36474523 37178949 37907948 38046432 38268352 38393888 38972778 40424334 40660124 41216968 43445064 44468939 45946784 46639554 46655936 47237424 47966496 49571932 50964402 51963704 53216927 53899112 56861922 57402528 57590832 57926752 60990186 61825452 62186072 62983232 67952536 68920176 69983904 72949046 74357898 75815896 76092864 76787776 77945556 80848668 81320248 82433936 86890128 87586057 88937878 91893568 93279108 94474848 95932992 99143864 101928804 103927408 106433854 107798224 109423569 110422871 113723844 114805056 115181664 115853504 121980372 123650904 124372144 132145403 133406817 135905072 137840352 139967808 145898092 148715796 151631792 155891112 159650781 161108779 161697336 162640496 164867872 173780256 175172114 177875756 186558216 188949696 198287728 203857608 207854816 212867708 215596448 218847138 220845742 227447688 230363328 243960744 247301808 248744288 262758171 264290806 266813634 271810144 275680704 291796184 297431592 303263584 311782224 319301562 322217558 323394672 325280992 329735744 331268613 347560512 350344228 355751512 373116432 396436209 396575456 407715216 415709632 425735416 431192896 437694276 441691484 454895376 474168799 483326337 487921488 494603616 497488576 525516342 528581612 533627268 543620288 578096207 583592368 594863184 606527168 620066891 623564448 638603124 644435116 646789344 650561984 662537226 691820051 700688456 711503024 746232864 755971963 792872418 793150912 815430432 851470832 875388552 883382968 904687759 909790752 948337598 966652674 975842976 989207232 1051032684 1057163224 1067254536 1156192414 1167184736 1189726368 1240133782 1247128896 1277206248 1288870232 1293578688 1325074452 1383640102 1401376912 1422506397 1423006048 1492465728 1511943926 1585744836 1630860864 1702941664 1734288621 1750777104 1766765936 1809375518 1819581504 1860200673 1896675196 1933305348 1951685952 2075460153 2102065368 2114326448 2134509072 2267915889 2312384828 2334369472 2379452736 2480267564 2554412496 2577740464 2650148904 2714063277 2767280204 2802753824 2845012794 2846012096 3023887852 3171489672 3246232547 3405883328 3468577242 3501554208 3533531872 3618751036 3720401346 3793350392 3866610696 4150920306 4204130736 4228652896 4269018144 4535831778 4624769656 4960535128 5108824992 5155480928 5300297808 5428126554 5534560408 5605507648 5690025588 6047775704 6342979344 6492465094 6937154484 7003108416 7067063744 7237502072 7440802692 7586700784 7733221392 8060869583 8301840612 8408261472 8457305792 8538036288 9071663556 9249539312 9738697641 9827635519 9921070256 10217649984 10310961856 10600595616 10856253108 11069120816 11380051176 11760940867 12095551408 12685958688 12984930188 13874308968 14475004144 14881605384 15173401568 15466442784 16121739166 16603681224 16816522944 18143327112 18499078624 19477395282 19655271038 19842140512 21201191232 21712506216 22138241632 22760102352 23521881734 24182608749 24191102816 25371917376 25969860376 27748617936 28950008288 29482906557 29763210768 30346803136 30932885568 32243478332 33207362448 35282822601 36286654224 36998157248 38954790564 39310542076 39684281024 42201023111 43425012432 44276483264 45520204704 47043763468 48365217498 48382205632 51939720752 55185953299 55497235872 57900016576 58965813114 59526421536 64486956664 66414724896 70565645202 72573308448 77909581128 78621084152 84402046222 86850024864 91040409408 94087526936 96730434996 103879441504 110371906598 110994471744 117931626228 119052843072 126603069333 128973913328 132829449792 141131290404 145146616896 155819162256 157242168304 165557859897 168804092444 173700049728 188175053872 193460869992 207758883008 220743813196 235863252456 253206138666 257947826656 282262580808 311638324512 314484336608 331115719794 337608184888 376350107744 386921739984 441487626392 471726504912 506412277332 515895653312 564525161616 623276649024 628968673216 662231439588 675216369776 717417392887 752700215488 773843479968 882975252784 943453009824 1012824554664 1129050323232 1324462879176 1350432739552 1434834785774 1547686959936 1765950505568 1886906019648 2025649109328 2152252178661 2258100646464 2648925758352 2700865479104 2869669571548 3531901011136 4051298218656 4304504357322 5297851516704 5739339143096 8102596437312 8609008714644 10595703033408 11478678286192 17218017429288 22957356572384 34436034858576 45914713144768 68872069717152 137744139434304
- Sum of all divisors σ(n): 433032124170240
- Sum of proper divisors (its aliquot sum) s(n): 295287984735936
- 137744139434304 is an abundant number, because the sum of its proper divisors (295287984735936) is greater than itself. Its abundance is 157543845301632
Bases of 137744139434304
- Binary: 111110101000111000011101000000000111001010000002
- Hexadecimal: 0x7D470E803940
- Base-36: 1CTQS865HC
Squares and roots of 137744139434304
- 137744139434304 squared (1377441394343042) is 18973447948496982277131964416
- 137744139434304 cubed (1377441394343043) is 2613481259767277505685835218748078497726464
-
The
square root of 137744139434304 is 11736444.9231572673 -
The
cube root of 137744139434304 is 51644.5356238955
Scales and comparisons
How big is 137744139434304?- 137,744,139,434,304 seconds is equal to 4,379,837 years, 29 weeks, 2 days, 1 hour, 58 minutes, 24 seconds.
-
To count from 1 to 137,744,139,434,304 would take you about ten million, nine hundred forty-nine thousand, five hundred ninety-three 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 137744139434304 cubic inches would be around 4303.7 feet tall.
Recreational maths with 137744139434304
- 137744139434304 backwards is 403434931447731
- The number of decimal digits it has is: 15
- The sum of 137744139434304's digits is 57
- More coming soon!
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The information we have on file for 137744139434304 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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