137813801545728
137,813,801,545,728 is an even composite number composed of six prime numbers multiplied together.
What does the number 137813801545728 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1248 divisors.
137813801545728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 137813801545728:
212 × 33 × 7 × 112 × 157 × 9371
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 11 × 157 × 9371)See below for interesting mathematical facts about the number 137813801545728 from the Numbermatics database.
Names of 137813801545728
- Cardinal: 137813801545728 can be written as One hundred thirty-seven trillion, eight hundred thirteen billion, eight hundred one million, five hundred forty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37813801545728 × 1014
Factors of 137813801545728
Divisors of 137813801545728
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 64 66 72 77 84 88 96 99 108 112 121 126 128 132 144 154 157 168 176 189 192 198 216 224 231 242 252 256 264 288 297 308 314 336 352 363 378 384 396 432 448 462 471 484 504 512 528 576 594 616 628 672 693 704 726 756 768 792 847 864 896 924 942 968 1008 1024 1056 1089 1099 1152 1188 1232 1256 1344 1386 1408 1413 1452 1512 1536 1584 1694 1727 1728 1792 1848 1884 1936 2016 2048 2079 2112 2178 2198 2304 2376 2464 2512 2541 2688 2772 2816 2826 2904 3024 3072 3168 3267 3297 3388 3454 3456 3584 3696 3768 3872 4032 4096 4158 4224 4239 4356 4396 4608 4752 4928 5024 5082 5181 5376 5544 5632 5652 5808 6048 6144 6336 6534 6594 6776 6908 6912 7168 7392 7536 7623 7744 8064 8316 8448 8478 8712 8792 9216 9371 9504 9856 9891 10048 10164 10362 10752 11088 11264 11304 11616 12089 12096 12288 12672 13068 13188 13552 13816 13824 14336 14784 15072 15246 15488 15543 16128 16632 16896 16956 17424 17584 18432 18742 18997 19008 19712 19782 20096 20328 20724 21504 22176 22528 22608 22869 23232 24178 24192 25344 26136 26376 27104 27632 27648 28113 28672 29568 29673 30144 30492 30976 31086 32256 33264 33792 33912 34848 35168 36267 36864 37484 37994 38016 39424 39564 40192 40656 41448 43008 44352 45056 45216 45738 46464 46629 48356 48384 50688 52272 52752 54208 55264 55296 56226 56991 59136 59346 60288 60984 61952 62172 64512 65597 66528 67584 67824 69696 70336 72534 74968 75988 76032 78848 79128 80384 81312 82896 84339 86016 88704 90432 91476 92928 93258 96712 96768 101376 103081 104544 105504 108416 108801 110528 110592 112452 113982 118272 118692 120576 121968 123904 124344 129024 131194 132979 133056 135168 135648 139392 140672 145068 149936 151976 152064 157696 158256 160768 162624 165792 168678 170973 177408 180864 182952 185856 186516 193424 193536 196791 202752 206162 209088 211008 216832 217602 221056 224904 227964 236544 237384 241152 243936 247808 248688 253017 258048 262388 265958 266112 271296 278784 281344 290136 299872 303952 304128 309243 315392 316512 321536 325248 326403 331584 337356 341946 354816 361728 365904 371712 373032 386848 387072 393582 398937 405504 412324 418176 422016 433664 435204 442112 449808 455928 473088 474768 482304 487872 495616 497376 506034 512919 524776 531916 532224 542592 557568 562688 580272 590373 599744 607904 608256 618486 633024 643072 650496 652806 663168 674712 683892 709632 721567 723456 731808 743424 746064 773696 774144 787164 797874 824648 836352 844032 867328 870408 884224 899616 911856 927729 946176 949536 964608 975744 994752 1012068 1025838 1049552 1063832 1064448 1085184 1115136 1125376 1133891 1160544 1180746 1196811 1199488 1215808 1216512 1236972 1266048 1300992 1305612 1326336 1349424 1367784 1419264 1443134 1446912 1463616 1471247 1486848 1492128 1547392 1574328 1595748 1649296 1672704 1688064 1734656 1740816 1768448 1771119 1799232 1823712 1855458 1899072 1929216 1951488 1989504 2024136 2051676 2099104 2127664 2128896 2164701 2170368 2230272 2250752 2267782 2321088 2361492 2393622 2398976 2431616 2473944 2532096 2601984 2611224 2652672 2698848 2735568 2783187 2838528 2886268 2893824 2927232 2942494 2984256 3094784 3148656 3191496 3298592 3345408 3376128 3401673 3469312 3481632 3536896 3542238 3590433 3598464 3647424 3710916 3798144 3902976 3979008 4048272 4103352 4198208 4255328 4257792 4329402 4340736 4413741 4460544 4501504 4535564 4642176 4722984 4787244 4797952 4863232 4947888 5064192 5203968 5222448 5305344 5397696 5471136 5566374 5772536 5787648 5854464 5884988 5968512 6189568 6297312 6382992 6494103 6597184 6690816 6752256 6803346 6963264 7073792 7084476 7180866 7196928 7294848 7421832 7596288 7805952 7937237 7958016 8096544 8206704 8396416 8510656 8515584 8658804 8681472 8827482 9071128 9284352 9445968 9574488 9595904 9726464 9895776 10128384 10205019 10298729 10407936 10444896 10610688 10795392 10942272 11132748 11545072 11708928 11769976 11937024 12379136 12594624 12765984 12988206 13194368 13241223 13381632 13504512 13606692 13926528 14168952 14361732 14393856 14589696 14843664 15192576 15611904 15874474 15916032 16183717 16193088 16413408 16792832 17021312 17317608 17362944 17654964 18142256 18568704 18891936 19148976 19191808 19452928 19482309 19791552 20256768 20410038 20597458 20889792 21221376 21590784 21884544 22265496 23090144 23417856 23539952 23811711 23874048 24758272 25189248 25531968 25976412 26388736 26482446 27213384 27853056 28337904 28723464 28787712 29179392 29687328 30385152 30615057 30896187 31223808 31748948 31832064 32367434 32386176 32826816 33585664 34042624 34635216 35309928 36284512 37137408 37783872 38297952 38383616 38905856 38964618 39583104 39723669 40513536 40820076 41194916 41779584 43181568 43769088 44530992 46180288 46835712 47079904 47623422 47748096 48551151 49516544 50378496 51063936 51952824 52777472 52964892 54426768 55706112 56675808 57446928 57575424 58358784 59374656 60770304 61230114 61792374 63497896 63664128 64734868 64772352 65653632 67171328 68085248 69270432 70619856 71435133 72569024 74274816 75567744 76595904 77811712 77929236 79166208 79447338 81640152 82389832 83559168 86363136 87538176 89061984 92360576 92688561 93671424 94159808 95246844 95496192 97102302 100756992 102127872 103905648 105554944 105929784 108853536 111412224 113286019 113351616 114893856 115150848 116717568 118749312 121540608 122460228 123584748 126995792 129469736 129544704 131307264 134342656 136170496 138540864 141239712 142870266 145138048 145653453 148549632 151135488 153191808 155858472 158332416 158894676 163280304 164779664 167118336 172726272 175076352 178020887 178123968 184721152 185377122 188319616 190493688 190992384 194204604 201513984 204255744 207811296 211109888 211859568 214305399 217707072 222824448 226572038 226703232 229787712 233435136 237498624 244920456 247169496 253991584 258939472 259089408 262614528 268685312 272340992 277081728 278065683 282479424 285740532 290276096 291306906 302270976 306383616 311716944 316664832 317789352 326560608 329559328 334236672 339858057 345452544 350152704 356041774 356247936 369442304 370754244 376639232 380987376 388409208 403027968 408511488 415622592 422219776 423719136 428610798 435414144 436960359 445648896 453144076 453406464 459575424 474997248 489840912 494338992 507983168 517878944 518178816 525229056 534062661 544681984 554163456 556131366 564958848 571481064 580552192 582613812 604541952 612767232 623433888 633329664 635578704 653121216 659118656 668473344 679716114 700305408 712083548 712495872 738884608 741508488 753278464 761974752 776818416 806055936 817022976 831245184 847438272 857221596 870828288 873920718 906288152 906812928 919150848 949994496 979681824 988677984 1015966336 1019574171 1035757888 1036357632 1050458112 1068125322 1108326912 1112262732 1129917696 1142962128 1161104384 1165227624 1209083904 1225534464 1246146209 1246867776 1266659328 1271157408 1306242432 1318237312 1336946688 1359432228 1424167096 1424991744 1477769216 1483016976 1506556928 1523949504 1553636832 1602187983 1634045952 1662490368 1694876544 1714443192 1741656576 1747841436 1812576304 1813625856 1838301696 1899988992 1959363648 1977355968 2031932672 2039148342 2071515776 2100916224 2136250644 2216653824 2224525464 2259835392 2285924256 2322208768 2330455248 2418167808 2451068928 2492292418 2493735552 2542314816 2612484864 2636474624 2718864456 2848334192 2849983488 2955538432 2966033952 3013113856 3047899008 3058722513 3107273664 3204375966 3324980736 3389753088 3428886384 3483313152 3495682872 3625152608 3627251712 3676603392 3738438627 3799977984 3918727296 3954711936 4063865344 4078296684 4143031552 4272501288 4433307648 4449050928 4519670784 4571848512 4644417536 4660910496 4806563949 4902137856 4984584836 4987471104 5084629632 5224969728 5272949248 5437728912 5696668384 5699966976 5932067904 6026227712 6095798016 6117445026 6214547328 6408751932 6649961472 6779506176 6857772768 6966626304 6991365744 7250305216 7254503424 7353206784 7476877254 7837454592 7909423872 8127730688 8156593368 8286063104 8545002576 8866615296 8898101856 9039341568 9143697024 9321820992 9613127898 9969169672 9974942208 10169259264 10449939456 10545898496 10875457824 11215315881 11393336768 11399933952 11864135808 12191596032 12234890052 12429094656 12817503864 13299922944 13559012352 13715545536 13933252608 13982731488 14500610432 14706413568 14953754508 15674909184 15818847744 16255461376 16313186736 16572126208 17090005152 17796203712 18078683136 18287394048 18643641984 19226255796 19938339344 19949884416 20338518528 20899878912 21091796992 21750915648 22430631762 22786673536 23728271616 24383192064 24469780104 24858189312 25635007728 26599845888 27118024704 27431091072 27965462976 29001220864 29907509016 31349818368 31637695488 32510922752 32626373472 33144252416 33645947643 34180010304 35592407424 36574788096 37287283968 38452511592 39876678688 39899768832 40677037056 41799757824 42183593984 43501831296 44861263524 45573347072 47456543232 48766384128 48939560208 49716378624 51270015456 54236049408 54862182144 55930925952 58002441728 59815018032 62699636736 63275390976 65252746944 66288504832 67291895286 68360020608 71184814848 73149576192 74574567936 76905023184 79753357376 79799537664 81354074112 87003662592 89722527048 91146694144 94913086464 97532768256 97879120416 99432757248 102540030912 109724364288 111861851904 116004883456 119630036064 125399273472 126550781952 130505493888 134583790572 136720041216 142369629696 146299152384 149149135872 153810046368 159506714752 162708148224 174007325184 179445054096 182293388288 189826172928 195758240832 198865514496 205080061824 219448728576 223723703808 232009766912 239260072128 261010987776 269167581144 273440082432 284739259392 292598304768 298298271744 307620092736 319013429504 348014650368 358890108192 364586776576 379652345856 391516481664 410160123648 438897457152 447447407616 464019533824 478520144256 522021975552 538335162288 546880164864 569478518784 596596543488 615240185472 638026859008 696029300736 717780216384 729173553152 783032963328 820320247296 877794914304 894894815232 957040288512 1044043951104 1076670324576 1093760329728 1138957037568 1230480370944 1276053718016 1392058601472 1435560432768 1566065926656 1640640494592 1789789630464 1914080577024 2088087902208 2153340649152 2187520659456 2460960741888 2552107436032 2871120865536 3132131853312 3281280989184 3828161154048 4176175804416 4306681298304 4921921483776 5104214872064 5742241731072 6264263706624 6562561978368 7656322308096 8613362596608 9843842967552 11484483462144 12528527413248 15312644616192 17226725193216 19687685935104 22968966924288 34453450386432 45937933848576 68906900772864 137813801545728
- Sum of all divisors σ(n): 516211781352960
- Sum of proper divisors (its aliquot sum) s(n): 378397979807232
- 137813801545728 is an abundant number, because the sum of its proper divisors (378397979807232) is greater than itself. Its abundance is 240584178261504
Bases of 137813801545728
- Binary: 111110101010111010001101010111110110000000000002
- Hexadecimal: 0x7D5746AFB000
- Base-36: 1CUMSB6YO0
Squares and roots of 137813801545728
- 137813801545728 squared (1378138015457282) is 18992643896485301282075049984
- 137813801545728 cubed (1378138015457283) is 2617448456778907478654066303624282061668352
-
The
square root of 137813801545728 is 11739412.3168806027 -
The
cube root of 137813801545728 is 51653.2403162591
Scales and comparisons
How big is 137813801545728?- 137,813,801,545,728 seconds is equal to 4,382,052 years, 31 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 137,813,801,545,728 would take you about ten million, nine hundred fifty-five thousand, one hundred thirty-one 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 137813801545728 cubic inches would be around 4304.4 feet tall.
Recreational maths with 137813801545728
- 137813801545728 backwards is 827545108318731
- 137813801545728 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137813801545728's digits is 63
- More coming soon!
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"Number 137813801545728 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 137813801545728 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/137813801545728/
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The information we have on file for 137813801545728 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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