138083219464719672
138,083,219,464,719,672 is an even composite number composed of five prime numbers multiplied together.
138083219464719672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138083219464719672:
23 × 38 × 112 × 13 × 11873
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 13 × 1187 × 1187 × 1187)See below for interesting mathematical facts about the number 138083219464719672 from the Numbermatics database.
Names of 138083219464719672
- Cardinal: 138083219464719672 can be written as One hundred thirty-eight quadrillion, eighty-three trillion, two hundred nineteen billion, four hundred sixty-four million, seven hundred nineteen thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.38083219464719672 × 1017
Factors of 138083219464719672
Divisors of 138083219464719672
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 121 132 143 156 162 198 216 234 242 243 264 286 297 312 324 351 363 396 429 468 484 486 572 594 648 702 726 729 792 858 891 936 968 972 1053 1089 1144 1187 1188 1287 1404 1452 1458 1573 1716 1782 1944 2106 2178 2187 2374 2376 2574 2673 2808 2904 2916 3146 3159 3267 3432 3561 3564 3861 4212 4356 4374 4719 4748 5148 5346 5832 6292 6318 6534 6561 7122 7128 7722 8019 8424 8712 8748 9438 9477 9496 9801 10296 10683 10692 11583 12584 12636 13057 13068 13122 14157 14244 15431 15444 16038 17496 18876 18954 19602 21366 21384 23166 24057 25272 26114 26136 26244 28314 28431 28488 29403 30862 30888 32049 32076 34749 37752 37908 39171 39204 42471 42732 46293 46332 48114 52228 52488 56628 56862 58806 61724 64098 64152 69498 72171 75816 78342 78408 84942 85293 85464 88209 92586 92664 96147 96228 104247 104456 113256 113724 117513 117612 123448 127413 128196 138879 138996 143627 144342 156684 169741 169884 170586 176418 185172 192294 192456 208494 227448 235026 235224 254826 256392 264627 277758 277992 287254 288441 288684 312741 313368 339482 339768 341172 352539 352836 370344 382239 384588 416637 416988 430881 470052 509223 509652 529254 555516 574508 576882 577368 625482 678964 682344 705078 705672 764478 769176 793881 833274 833976 861762 865323 938223 940104 1018446 1019304 1057617 1058508 1111032 1146717 1149016 1153764 1249911 1250964 1292643 1357928 1408969 1410156 1527669 1528956 1587762 1666548 1723524 1730646 1867151 1876446 2036892 2115234 2117016 2293434 2307528 2499822 2501928 2585286 2595969 2817938 2820312 3055338 3057912 3172851 3175524 3333096 3440151 3447048 3461292 3734302 3749733 3752892 3877929 4073784 4226907 4230468 4583007 4586868 4999644 5170572 5191938 5601453 5635876 6110676 6345702 6351048 6880302 6922584 7468604 7499466 7505784 7755858 7787907 8453814 8460936 9166014 9173736 9518553 9999288 10320453 10341144 10383876 11202906 11249199 11271752 11633787 12221352 12680721 12691404 13749021 13760604 14937208 14998932 15498659 15511716 15575814 16804359 16907628 18316597 18332028 19037106 20640906 20767752 22405812 22498398 23267574 25361442 25382808 27498042 27521208 28555659 29997864 30997318 31023432 31151628 33608718 33747597 33815256 34901361 36633194 36664056 38042163 38074212 41247063 41281812 44811624 44996796 46495977 46535148 50413077 50722884 54949791 54996084 57111318 61994636 62303256 67217436 67495194 69802722 73266388 76084326 76148424 82494126 82563624 85666977 89993592 92991954 93070296 100826154 101242791 101445768 104704083 109899582 109992168 114126489 114222636 123741189 123989272 134434872 134990388 139487931 139605444 146532776 151239231 152168652 164849373 164988252 170485249 171333954 185983908 201482567 201652308 202485582 209408166 219799164 228252978 228445272 247482378 269980776 278975862 279210888 302478462 304337304 314112249 329698746 329976504 340970498 342379467 342667908 371223567 371967816 402965134 403304616 404971164 418463793 418816332 439598328 453717693 456505956 494548119 494964756 511455747 557951724 604447701 604956924 628224498 659397492 681940996 684758934 685335816 742447134 805930268 809942328 836927586 837632664 907435386 913011912 942336747 989096238 989929512 1022911494 1027138401 1113670701 1115903448 1208895402 1209913848 1255391379 1256448996 1318794984 1361153079 1363881992 1369517868 1483644357 1484894268 1534367241 1611860536 1672446203 1673855172 1813343103 1814870772 1884673494 1978192476 2045822988 2054276802 2216308237 2227341402 2417790804 2510782758 2512897992 2722306158 2739035736 2967288714 2969788536 3068734482 3081415203 3344892406 3347710344 3626686206 3629741544 3766174137 3769346988 3956384952 4083459237 4091645976 4108553604 4432616474 4450933071 4454682804 4603101723 4835581608 5017338609 5021565516 5440029309 5444612316 5934577428 6137468964 6162830406 6648924711 6689784812 7253372412 7532348274 7538693976 8166918474 8217107208 8865232948 8901866142 8909365608 9206203446 9244245609 10034677218 10043131032 10880058618 10889224632 11298522411 11869154856 12250377711 12274937928 12325660812 13297849422 13352799213 13379569624 13809305169 14506744824 15052015827 15064696548 16320087927 16333836948 17730465896 17803732284 18396908233 18412406892 18488491218 19946774133 20069354436 21741800639 21760117236 22597044822 24500755422 24651321624 26595698844 26705598426 27618610338 30104031654 30129393096 32640175854 32667673896 33895567233 35607464568 36793816466 36824813784 36976982436 39893548266 40058397639 40138708872 41427915507 43483601278 43520234472 45156047481 45194089644 48960263781 49001510844 53191397688 53411196852 55190724699 55237220676 59840322399 60208063308 65225401917 65280351708 67791134466 73587632932 73953964872 79787096532 80116795278 82855831014 86967202556 90312094962 90388179288 97920527562 98003021688 101686701699 106822393704 110381449398 110474441352 119680644798 120175192917 120416126616 124283746521 130450803834 130560703416 135468142443 135582268932 146880791343 147175265864 159574193064 160233590556 165572174097 165711662028 173934405112 179520967197 180624189924 195676205751 195841055124 202365990563 203373403398 220762898796 239159807029 239361289596 240350385834 248567493042 260901607668 270936284886 271164537864 293761582686 320467181112 331144348194 331423324056 359041934394 361248379848 372851239563 391352411502 391682110248 404731981126 406404427329 406746806796 440642374029 441525797592 478319614058 478722579192 480700771668 496716522291 497134986084 521803215336 538562901591 541872569772 587028617253 587523165372 607097971689 662288696388 717479421087 718083868788 745702479126 782704823004 809463962252 812808854658 813493613592 881284748058 956639228116 961401543336 993433044582 994269972168 1077125803182 1083745139544 1118553718689 1174057234506 1175046330744 1214195943378 1219213281987 1321927122087 1324577392776 1434958842174 1436167737576 1490149566873 1491404958252 1565409646008 1615688704773 1618927924504 1625617709316 1761085851759 1762569496116 1821293915067 1913278456232 1986866089164 2152438263261 2154251606364 2237107437378 2348114469012 2428391886756 2438426563974 2630757877319 2643854244174 2869917684348 2980299133746 2982809916504 3231377409546 3251235418632 3522171703518 3525138992232 3642587830134 3657639845961 3973732178328 4304876526522 4308503212728 4470448700619 4474214874756 4696228938024 4847066114319 4856783773512 4876853127948 5261515754638 5283257555277 5287708488348 5463881745201 5739835368696 5960598267492 6457314789783 6462754819092 7044343407036 7285175660268 7315279691922 7892273631957 8609753053044 8940897401238 8948429749512 9694132228638 9753706255896 10523031509276 10566515110554 10575416976696 10927763490402 10972919537883 11921196534984 12914629579566 12925509638184 13411346101857 14088686814072 14541198342957 14570351320536 14630559383844 15784547263914 15849772665831 16391645235603 17219506106088 17881794802476 19371944369349 19388264457276 21046063018552 21133030221108 21855526980804 21945839075766 23676820895871 25829259159132 26822692203714 29082396685914 29261118767688 31569094527828 31699545331662 32783290471206 35763589604952 38743888738698 38776528914552 40234038305571 42266060442216 43711053961608 43891678151532 47353641791742 47549317997493 49174935706809 51658518318264 53645384407428 58115833108047 58164793371828 63138189055656 63399090663324 65566580942412 71030462687613 77487777477396 80468076611142 87783356303064 94707283583484 95098635994986 98349871413618 107290768814856 116231666216094 116329586743656 120702114916713 126798181326648 131133161884824 142060925375226 142647953992479 147524807120427 154975554954792 160936153222284 174347499324141 189414567166968 190197271989972 196699742827236 213091388062839 232463332432188 241404229833426 284121850750452 285295907984958 295049614240854 321872306444568 348694998648282 380394543979944 393399485654472 426182776125678 442574421361281 464926664864376 482808459666852 523042497972423 568243701500904 570591815969916 590099228481708 639274164188517 697389997296564 852365552251356 885148842722562 965616919333704 1046084995944846 1141183631939832 1180198456963416 1278548328377034 1327723264083843 1394779994593128 1569127493917269 1704731104502712 1770297685445124 1917822492565551 2092169991889692 2557096656754068 2655446528167686 3138254987834538 3540595370890248 3835644985131102 4184339983779384 5114193313508136 5310893056335372 5753467477696653 6276509975669076 7671289970262204 10621786112670744 11506934955393306 12553019951338152 15342579940524408 17260402433089959 23013869910786612 34520804866179918 46027739821573224 69041609732359836 138083219464719672
- Sum of all divisors σ(n): 460074702854566800
- Sum of proper divisors (its aliquot sum) s(n): 321991483389847128
- 138083219464719672 is an abundant number, because the sum of its proper divisors (321991483389847128) is greater than itself. Its abundance is 183908263925127456
Bases of 138083219464719672
- Binary: 1111010101001000111110100110111011010001100001101001110002
- Hexadecimal: 0x1EA91F4DDA30D38
- Base-36: 11RMEZAQ7VI0
Squares and roots of 138083219464719672
- 138083219464719672 squared (1380832194647196722) is 19066975497741937700732709543787584
- 138083219464719672 cubed (1380832194647196723) is 2632829362183132588357301221327149989813131674152448
-
The
square root of 138083219464719672 is 371595505.1729227685 -
The
cube root of 138083219464719672 is 516868.7809339623
Scales and comparisons
How big is 138083219464719672?- 138,083,219,464,719,672 seconds is equal to 4,390,619,259 years, 27 weeks, 6 days, 7 hours, 1 minute, 12 seconds.
-
To count from 1 to 138,083,219,464,719,672 would take you about thirteen billion, one hundred seventy-one million, eight hundred fifty-seven thousand, seven hundred seventy-eight 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 138083219464719672 cubic inches would be around 43072.4 feet tall.
Recreational maths with 138083219464719672
- 138083219464719672 backwards is 276917464912380831
- 138083219464719672 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138083219464719672's digits is 81
- More coming soon!
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Numbermatics. (2024). Number 138083219464719672 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138083219464719672/
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The information we have on file for 138083219464719672 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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