137813081223168
137,813,081,223,168 is an even composite number composed of five prime numbers multiplied together.
What does the number 137813081223168 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 936 divisors.
137813081223168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 137813081223168:
212 × 32 × 132 × 293 × 907
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 29 × 29 × 29 × 907)See below for interesting mathematical facts about the number 137813081223168 from the Numbermatics database.
Names of 137813081223168
- Cardinal: 137813081223168 can be written as One hundred thirty-seven trillion, eight hundred thirteen billion, eighty-one million, two hundred twenty-three thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37813081223168 × 1014
Factors of 137813081223168
Divisors of 137813081223168
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 64 72 78 87 96 104 116 117 128 144 156 169 174 192 208 232 234 256 261 288 312 338 348 377 384 416 464 468 507 512 522 576 624 676 696 754 768 832 841 907 928 936 1014 1024 1044 1131 1152 1248 1352 1392 1508 1521 1536 1664 1682 1814 1856 1872 2028 2048 2088 2262 2304 2496 2523 2704 2721 2784 3016 3042 3072 3328 3364 3393 3628 3712 3744 4056 4096 4176 4524 4608 4901 4992 5046 5408 5442 5568 6032 6084 6144 6656 6728 6786 7256 7424 7488 7569 8112 8163 8352 9048 9216 9802 9984 10092 10816 10884 10933 11136 11791 12064 12168 12288 13312 13456 13572 14512 14703 14848 14976 15138 16224 16326 16704 18096 18432 19604 19968 20184 21632 21768 21866 22272 23582 24128 24336 24389 26303 26624 26912 27144 29024 29406 29696 29952 30276 32448 32652 32799 33408 35373 36192 36864 39208 39936 40368 43264 43536 43732 44109 44544 47164 48256 48672 48778 52606 53248 53824 54288 58048 58812 59392 59904 60552 64896 65304 65598 66816 70746 72384 73167 78416 78909 79872 80736 86528 87072 87464 88218 89088 94328 96512 97344 97556 98397 105212 106119 107648 108576 116096 117624 118784 119808 121104 129792 130608 131196 133632 141492 142129 144768 146334 153283 156832 157818 159744 161472 173056 174144 174928 176436 178176 188656 193024 194688 195112 196794 210424 212238 215296 217152 219501 232192 235248 236727 239616 242208 259584 261216 262392 267264 282984 284258 289536 292668 306566 313664 315636 317057 322944 341939 346112 348288 349856 352872 356352 377312 386048 389376 390224 393588 420848 424476 426387 430592 434304 439002 459849 464384 470496 473454 479232 484416 519168 522432 524784 534528 565968 568516 579072 585336 613132 627328 631272 634114 645888 683878 692224 696576 699712 705744 754624 762787 772096 778752 780448 787176 841696 848952 852774 861184 868608 878004 919698 928768 940992 946908 951171 968832 1025817 1038336 1044864 1049568 1069056 1131936 1137032 1158144 1170672 1226264 1254656 1262544 1268228 1279161 1291776 1367756 1379547 1393152 1399424 1411488 1509248 1525574 1544192 1557504 1560896 1574352 1683392 1697904 1705548 1722368 1737216 1756008 1839396 1857536 1881984 1893816 1902342 1937664 2051634 2076672 2089728 2099136 2263872 2274064 2288361 2316288 2341344 2452528 2509312 2525088 2536456 2558322 2583552 2735512 2759094 2786304 2798848 2822976 2853513 3018496 3051148 3077451 3115008 3121792 3148704 3366784 3395808 3411096 3444736 3474432 3512016 3678792 3715072 3763968 3787632 3804684 3875328 4103268 4121741 4179456 4198272 4445207 4527744 4548128 4576722 4632576 4682688 4905056 5018624 5050176 5072912 5116644 5167104 5471024 5518188 5572608 5597696 5645952 5707026 6036992 6102296 6154902 6230016 6243584 6297408 6733568 6791616 6822192 6865083 6948864 7024032 7357584 7527936 7575264 7609368 7750656 8206536 8243482 8358912 8396544 8890414 9055488 9096256 9153444 9365376 9810112 9916231 10037248 10100352 10145824 10233288 10334208 10942048 11036376 11145216 11195392 11291904 11414052 12073984 12204592 12309804 12365223 12487168 12594816 13335621 13467136 13583232 13644384 13730166 13897728 14048064 14715168 15055872 15150528 15218736 15501312 16413072 16486964 16717824 16793088 17780828 18110976 18192512 18306888 18730752 19620224 19832462 20074496 20200704 20291648 20466576 21884096 22072752 22120823 22390784 22583808 22828104 24147968 24409184 24619608 24730446 24974336 25189632 26671242 26934272 27166464 27288768 27460332 28096128 29430336 29748693 30111744 30301056 30437472 31002624 32826144 32973928 33435648 33586176 35561656 36221952 36385024 36613776 37095669 37461504 39240448 39664924 40006863 40401408 40583296 40933152 43768192 44145504 44241646 44781568 45167616 45656208 48295936 48818368 49239216 49460892 49948672 50379264 53342484 53868544 54332928 54577536 54920664 56192256 58860672 59497386 60223488 60602112 60874944 65652288 65947856 66362469 67172352 71123312 72443904 72770048 73227552 74191338 74923008 78480896 79329848 80013726 80802816 81166592 81866304 87536384 88291008 88483292 89246079 90335232 91312416 97636736 98478432 98921784 99897344 100758528 106684968 107737088 108665856 109155072 109841328 112384512 117721344 118994772 121204224 121749888 128911003 131304576 131895712 132724938 134344704 142246624 144887808 145540096 146455104 148382676 149846016 156961792 158659696 160027452 161605632 162333184 163732608 175072768 176582016 176966584 178492158 180670464 182624832 195273472 196956864 197843568 199087407 201517056 213369936 217331712 218310144 219682656 224769024 235442688 237989544 242408448 243499776 257822006 262609152 263791424 265449876 284493248 287570699 291080192 292910208 296765352 299692032 313923584 317319392 320054904 323211264 324666368 327465216 350145536 353164032 353933168 356984316 365249664 386733009 390546944 393913728 395687136 398174814 403034112 426739872 434663424 436620288 439365312 449538048 470885376 475979088 484816896 486999552 515644012 525218304 527582848 530899752 568986496 575141398 582160384 585820416 593530704 627847168 634638784 640109808 649332736 654930432 700291072 706328064 707866336 713968632 730499328 773466018 781093888 787827456 791374272 796349628 853479744 862712097 873240576 878730624 899076096 941770752 951958176 969633792 973999104 1031288024 1050436608 1055165696 1061799504 1137972992 1150282796 1160199027 1171640832 1187061408 1269277568 1280219616 1298665472 1309860864 1400582144 1412656128 1415732672 1427937264 1460998656 1546932036 1562187776 1575654912 1582748544 1592699256 1706959488 1725424194 1746481152 1757461248 1883541504 1903916352 1947998208 2062576048 2100873216 2110331392 2123599008 2275945984 2300565592 2320398054 2343281664 2374122816 2538555136 2560439232 2588136291 2619721728 2825312256 2831465344 2855874528 2921997312 3093864072 3124375552 3151309824 3165497088 3185398512 3413918976 3450848388 3514922496 3738419087 3807832704 3895996416 4125152096 4201746432 4220662784 4247198016 4551891968 4601131184 4640796108 4686563328 4748245632 5077110272 5120878464 5176272582 5239443456 5650624512 5662930688 5711749056 5843994624 6187728144 6302619648 6330994176 6370797024 6827837952 6901696776 7029844992 7476838174 7615665408 8250304192 8441325568 8494396032 9103783936 9202262368 9281592216 9373126656 9496491264 10154220544 10241756928 10352545164 11215257261 11325861376 11423498112 11687989248 12375456288 12605239296 12661988352 12741594048 13655675904 13803393552 14059689984 14953676348 15231330816 16500608384 16882651136 16988792064 18207567872 18404524736 18563184432 18992982528 20308441088 20483513856 20705090328 22430514522 22651722752 22846996224 24750912576 25323976704 25483188096 27311351808 27606787104 28119379968 29907352696 30462661632 33001216768 33645771783 33977584128 36809049472 37126368864 37985965056 40616882176 40967027712 41410180656 44861029044 45303445504 45693992448 49501825152 50647953408 50966376192 54622703616 55213574208 59814705392 60925323264 66002433536 67291543566 67955168256 73618098944 74252737728 75971930112 81934055424 82820361312 89722058088 90606891008 91387984896 99003650304 101932752384 110427148416 119629410784 121850646528 132004867072 134583087132 135910336512 147236197888 148505475456 151943860224 163868110848 165640722624 179444116176 182775969792 198007300608 203865504768 220854296832 239258821568 264009734144 269166174264 271820673024 294472395776 297010950912 331281445248 358888232352 365551939584 396014601216 407731009536 441708593664 478517643136 528019468288 538332348528 588944791552 594021901824 662562890496 717776464704 792029202432 815462019072 883417187328 957035286272 1076664697056 1177889583104 1188043803648 1325125780992 1435552929408 1584058404864 1766834374656 1914070572544 2153329394112 2376087607296 2650251561984 2871105858816 3533668749312 3828141145088 4306658788224 4752175214592 5300503123968 5742211717632 7656282290176 8613317576448 10601006247936 11484423435264 15312564580352 17226635152896 22968846870528 34453270305792 45937693741056 68906540611584 137813081223168
- Sum of all divisors σ(n): 446941377015120
- Sum of proper divisors (its aliquot sum) s(n): 309128295791952
- 137813081223168 is an abundant number, because the sum of its proper divisors (309128295791952) is greater than itself. Its abundance is 171315214568784
Bases of 137813081223168
- Binary: 111110101010111000110111100000001110000000000002
- Hexadecimal: 0x7D571BC07000
- Base-36: 1CUMGEBY80
Squares and roots of 137813081223168
- 137813081223168 squared (1378130812231682) is 18992445356223500371019956224
- 137813081223168 cubed (1378130812231683) is 2617407414503809155992589410514347734597632
-
The
square root of 137813081223168 is 11739381.6371718659 -
The
cube root of 137813081223168 is 51653.1503227103
Scales and comparisons
How big is 137813081223168?- 137,813,081,223,168 seconds is equal to 4,382,029 years, 36 weeks, 2 days, 10 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,813,081,223,168 would take you about ten million, nine hundred fifty-five thousand and seventy-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 137813081223168 cubic inches would be around 4304.4 feet tall.
Recreational maths with 137813081223168
- 137813081223168 backwards is 861322180318731
- The number of decimal digits it has is: 15
- The sum of 137813081223168's digits is 54
- More coming soon!
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The information we have on file for 137813081223168 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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