137404896521314944
137,404,896,521,314,944 is an even composite number composed of seven prime numbers multiplied together.
137404896521314944 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137404896521314944:
27 × 3 × 192 × 127 × 331 × 5573 × 4231
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 19 × 19 × 127 × 331 × 5573 × 4231)See below for interesting mathematical facts about the number 137404896521314944 from the Numbermatics database.
Names of 137404896521314944
- Cardinal: 137404896521314944 can be written as One hundred thirty-seven quadrillion, four hundred four trillion, eight hundred ninety-six billion, five hundred twenty-one million, three hundred fourteen thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.37404896521314944 × 1017
Factors of 137404896521314944
Divisors of 137404896521314944
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 127 128 152 192 228 254 304 331 361 381 384 456 508 608 662 722 762 912 993 1016 1083 1216 1324 1444 1524 1824 1986 2032 2166 2413 2432 2648 2888 3048 3648 3972 4064 4231 4332 4826 5296 5573 5776 6096 6289 7239 7296 7944 8128 8462 8664 9652 10592 11146 11552 12192 12578 12693 14478 15888 16256 16719 16924 17328 18867 19304 21184 22292 23104 24384 25156 25386 28956 31776 33438 33848 34656 37734 38608 42037 42368 44584 45847 46208 48768 50312 50772 57912 63552 66876 67696 69312 75468 77216 80389 84074 89168 91694 100624 101544 105887 115824 119491 126111 127104 133752 135392 137541 138624 150936 154432 160778 168148 178336 183388 201248 203088 211774 231648 238982 241167 252222 267504 270784 275082 301872 308864 317661 321556 336296 356672 358473 366776 402496 406176 423548 463296 477964 482334 504444 535008 537337 541568 550164 603744 635322 643112 672592 707771 713344 716946 733552 798703 804992 812352 847096 926592 955928 964668 1008888 1070016 1074674 1100328 1207488 1270644 1286224 1345184 1400461 1415542 1433892 1467104 1527391 1597406 1612011 1624704 1694192 1844663 1911856 1929336 2011853 2017776 2123313 2140032 2149348 2200656 2396109 2414976 2541288 2572448 2690368 2800922 2831084 2867784 2934208 3054782 3194812 3224022 3388384 3689326 3823712 3858672 4023706 4035552 4201383 4246626 4298696 4401312 4582173 4792218 5082576 5144896 5380736 5533989 5601844 5662168 5735568 5868416 6035559 6109564 6389624 6448044 6776768 7378652 7647424 7717344 8047412 8071104 8402766 8493252 8597392 8802624 9164346 9584436 10165152 10209403 10289792 11067978 11203688 11324336 11471136 12071118 12219128 12779248 12896088 13447649 13553536 14757304 15175357 15294848 15434688 16094824 16142208 16805532 16986504 17194784 17605248 18328692 19168872 20330304 20418806 22135956 22407376 22648672 22942272 23579363 24142236 24438256 25558496 25792176 26608759 26895298 29514608 30350714 30628209 30869376 32189648 33611064 33973008 34389568 35048597 36657384 38337744 40342947 40660608 40837612 44271912 44814752 45297344 45526071 45884544 47158726 48284472 48876512 51116992 51584352 53217518 53790596 59029216 60701428 61256418 64379296 67222128 67946016 68779136 70097194 70738089 73314768 76675488 79826277 80685894 81675224 88543824 89629504 90594688 91052142 94317452 96568944 97753024 102233984 103168704 105145791 106435036 107581192 118058432 121402856 122512836 128758592 134444256 135892032 140194388 141476178 146629536 153350976 159652554 161371788 163350448 177087648 177858547 179259008 182104284 188634904 193137888 193978657 195506048 206337408 210291582 212870072 215162384 234272201 236116864 242805712 245025672 255505331 257517184 268888512 271784064 280388776 282952356 293259072 306701952 319305108 322743576 326700896 354175296 355717094 364208568 377269808 386275776 387957314 420583164 425740144 430324768 448007897 468544402 485611424 490051344 505566421 511010662 533575641 537777024 560777552 565904712 581935971 586518144 638610216 645487152 653401792 665923343 702816603 708350592 711434188 728417136 754539616 766515993 772551552 775914628 841166328 851480288 860649536 896015794 937088804 971222848 980102688 1011132842 1022021324 1067151282 1121555104 1131809424 1163871942 1277220432 1290974304 1306803584 1331846686 1344023691 1405633206 1422868376 1456834272 1509079232 1516699263 1533031986 1551829256 1682332656 1702960576 1721299072 1792031588 1874177608 1942445696 1960205376 1997770029 2022265684 2044042648 2134302564 2243110208 2263618848 2327743884 2554440864 2581948608 2663693372 2688047382 2811266412 2845736752 2913668544 2994579101 3018158464 3033398526 3066063972 3103658512 3364665312 3379312393 3405921152 3584063176 3748355216 3920410752 3995540058 4044531368 4088085296 4268605128 4451171819 4486220416 4527237696 4655487768 5108881728 5163897216 5327386744 5376094764 5622532824 5691473504 5827337088 5989158202 6066797052 6132127944 6207317024 6729330624 6758624786 7168126352 7496710432 7804769153 7991080116 8089062736 8176170592 8512150043 8537210256 8902343638 8983737303 9054475392 9310975536 10137937179 10217763456 10654773488 10752189528 11245065648 11382947008 11978316404 12133594104 12264255888 12414634048 13353515457 13458661248 13517249572 14336252704 14993420864 15609538306 15982160232 16178125472 16352341184 17024300086 17074420512 17804687276 17967474606 18621951072 20275874358 21309546976 21504379056 22490131296 22765894016 23414307459 23956632808 24267188208 24528511776 24829268096 25536450129 26707030914 27034499144 28672505408 29986841728 31219076612 31964320464 32356250944 32704682368 34048600172 34148841024 35609374552 35934949212 37243902144 40551748716 42619093952 43008758112 44980262592 46828614918 47913265616 48534376416 49057023552 51072900258 53414061828 54068998288 56897002919 57345010816 62438153224 63928640928 64206935467 64712501888 68097200344 68297682048 71218749104 71869898424 74487804288 81103497432 84572264561 85238187904 86017516224 89960525184 93657229836 95826531232 97068752832 98114047104 102145800516 106828123656 108137996576 113794005838 124876306448 127857281856 128413870934 136194400688 142437498208 143739796848 148290613907 162206994864 169144529122 170691008757 172035032448 187314459672 191653062464 192620806401 194137505664 204291601032 213656247312 216275993152 227588011676 249752612896 253716793683 255714563712 256827741868 272388801376 284874996416 287479593696 296581227814 324413989728 338289058244 341382017514 374628919344 383306124928 385241612802 408583202064 427312494624 432551986304 444871841721 455176023352 499505225792 507433587366 513655483736 544777602752 569749992832 574959187392 593162455628 648827979456 676578116488 682764035028 749257838688 770483225604 817166404128 854624989248 889743683442 910352046704 991205682431 999010451584 1014867174732 1027310967472 1081043055461 1089555205504 1149918374784 1186324911256 1297655958912 1353156232976 1365528070056 1498515677376 1540966451208 1634332808256 1709249978496 1779487366884 1820704093408 1982411364862 2029734349464 2054621934944 2162086110922 2372649822512 2706312465952 2731056140112 2817521664233 2973617047293 2997031354752 3081932902416 3243129166383 3268665616512 3558974733768 3641408186816 3964822729724 4059468698928 4109243869888 4324172221844 4745299645024 5412624931904 5462112280224 5635043328466 5947234094586 6163865804832 6486258332766 7117949467536 7282816373632 7929645459448 8118937397856 8218487739776 8452564992699 8648344443688 9490599290048 10825249863808 10924224560448 11270086656932 11894468189172 12327731609664 12972516665532 14235898935072 15859290918896 16237874795712 16905129985398 17296688887376 18832907966189 18981198580096 21848449120896 22540173313864 23788936378344 24655463219328 25945033331064 28471797870144 31718581837792 32475749591424 33810259970796 34593377774752 37665815932378 45080346627728 47577872756688 51890066662128 56498723898567 56943595740288 63437163675584 67620519941592 69186755549504 75331631864756 90160693255456 95155745513376 103780133324256 112997447797134 126874327351168 135241039883184 138373511099008 150663263729512 180321386510912 190311491026752 207560266648512 225994895594268 270482079766368 301326527459024 357825251357591 360642773021824 380622982053504 415120533297024 451989791188536 540964159532736 602653054918048 715650502715182 903979582377072 1073475754072773 1081928319065472 1205306109836096 1431301005430364 1807959164754144 2146951508145546 2410612219672192 2862602010860728 3615918329508288 4293903016291092 5725204021721456 7231836659016576 8587806032582184 11450408043442912 17175612065164368 22900816086885824 34351224130328736 45801632173771648 68702448260657472 137404896521314944
- Sum of all divisors σ(n): 389570286006927360
- Sum of proper divisors (its aliquot sum) s(n): 252165389485612416
- 137404896521314944 is an abundant number, because the sum of its proper divisors (252165389485612416) is greater than itself. Its abundance is 114760492964297472
Bases of 137404896521314944
- Binary: 1111010000010100100000110011111111000110101100010100000002
- Hexadecimal: 0x1E829067F8D6280
- Base-36: 11KXYY1FHTHC
Squares and roots of 137404896521314944
- 137404896521314944 squared (1374048965213149442) is 18880105588033267598900918837723136
- 137404896521314944 cubed (1374048965213149443) is 2594218954635211166306800435659835344310037731344384
-
The
square root of 137404896521314944 is 370681664.6683714029 -
The
cube root of 137404896521314944 is 516021.0321852447
Scales and comparisons
How big is 137404896521314944?- 137,404,896,521,314,944 seconds is equal to 4,369,050,688 years, 6 weeks, 4 days, 4 hours, 22 minutes, 24 seconds.
-
To count from 1 to 137,404,896,521,314,944 would take you about thirteen billion, one hundred seven million, one hundred fifty-two thousand and sixty-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 137404896521314944 cubic inches would be around 43001.8 feet tall.
Recreational maths with 137404896521314944
- 137404896521314944 backwards is 449413125698404731
- The number of decimal digits it has is: 18
- The sum of 137404896521314944's digits is 75
- More coming soon!
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The information we have on file for 137404896521314944 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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