138201919283992032
138,201,919,283,992,032 is an even composite number composed of five prime numbers multiplied together.
What does the number 138201919283992032 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1836 divisors.
138201919283992032 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred thirty-six divisors.
Prime factorization of 138201919283992032:
25 × 316 × 72 × 31 × 2572
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 31 × 257 × 257)See below for interesting mathematical facts about the number 138201919283992032 from the Numbermatics database.
Names of 138201919283992032
- Cardinal: 138201919283992032 can be written as One hundred thirty-eight quadrillion, two hundred one trillion, nine hundred nineteen billion, two hundred eighty-three million, nine hundred ninety-two thousand and thirty-two.
Scientific notation
- Scientific notation: 1.38201919283992032 × 1017
Factors of 138201919283992032
Divisors of 138201919283992032
- Number of divisors d(n): 1836
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 49 54 56 62 63 72 81 84 93 96 98 108 112 124 126 144 147 162 168 186 189 196 216 217 224 243 248 252 257 279 288 294 324 336 372 378 392 432 434 441 486 496 504 514 558 567 588 648 651 672 729 744 756 771 784 837 864 868 882 972 992 1008 1028 1116 1134 1176 1296 1302 1323 1458 1488 1512 1519 1542 1568 1674 1701 1736 1764 1799 1944 1953 2016 2056 2187 2232 2268 2313 2352 2511 2592 2604 2646 2916 2976 3024 3038 3084 3348 3402 3472 3528 3598 3888 3906 3969 4112 4374 4464 4536 4557 4626 4704 5022 5103 5208 5292 5397 5832 5859 6048 6076 6168 6561 6696 6804 6939 6944 7056 7196 7533 7776 7812 7938 7967 8224 8748 8928 9072 9114 9252 10044 10206 10416 10584 10794 11664 11718 11907 12152 12336 12593 13122 13392 13608 13671 13878 14112 14392 15066 15309 15624 15876 15934 16191 17496 17577 18144 18228 18504 19683 20088 20412 20817 20832 21168 21588 22599 23328 23436 23814 23901 24304 24672 25186 26244 26784 27216 27342 27756 28784 30132 30618 31248 31752 31868 32382 34992 35154 35721 36456 37008 37779 39366 40176 40824 41013 41634 42336 43176 45198 45927 46872 47628 47802 48573 48608 50372 52488 52731 54432 54684 55512 55769 57568 59049 60264 61236 62451 62496 63504 63736 64764 66049 67797 69984 70308 71442 71703 72912 74016 75558 78732 80352 81648 82026 83268 86352 90396 91854 93744 95256 95604 97146 100744 104976 105462 107163 109368 111024 111538 113337 118098 120528 122472 123039 124902 127008 127472 129528 132098 135594 137781 140616 142884 143406 145719 145824 151116 157464 158193 163296 164052 166536 167307 172704 177147 180792 183708 187353 187488 190512 191208 194292 198147 201488 203391 209952 210924 214326 215109 218736 222048 223076 226674 236196 241056 244944 246078 249804 254944 259056 264196 271188 275562 281232 285768 286812 291438 302232 314928 316386 321489 328104 333072 334614 340011 354294 361584 367416 369117 374706 381024 382416 388584 390383 396294 402976 406782 413343 421848 428652 430218 437157 437472 446152 453348 462343 472392 474579 489888 492156 499608 501921 518112 528392 531441 542376 551124 562059 562464 571536 573624 582876 594441 604464 610173 629856 632772 642978 645327 656208 666144 669228 680022 708588 723168 734832 738234 749412 764832 777168 780766 792588 813564 826686 843696 857304 860436 874314 892304 906696 924686 944784 949158 964467 984312 999216 1003842 1020033 1056784 1062882 1084752 1102248 1107351 1124118 1143072 1147248 1165752 1171149 1188882 1208928 1220346 1240029 1265544 1285956 1290654 1311471 1312416 1338456 1360044 1387029 1417176 1423737 1469664 1476468 1498824 1505763 1554336 1561532 1585176 1594323 1627128 1653372 1686177 1687392 1714608 1720872 1748628 1783323 1784608 1813392 1830519 1849372 1889568 1898316 1928934 1935981 1968624 1998432 2007684 2040066 2047519 2113568 2125764 2169504 2204496 2214702 2248236 2294496 2331504 2342298 2377764 2440692 2480058 2531088 2571912 2581308 2622942 2676912 2720088 2774058 2834352 2847474 2893401 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260051293152 261551876796 266741398161 275345959392 276620709204 280809172872 282109215339 291209512608 292557704796 298916430624 304847312184 309764204316 315910319481 316137953376 321236952624 322410531816 327610701684 334351662624 339744431376 342953226207 348735835728 354016233504 355655197548 361391571702 362711848293 368827612272 374412230496 376145620452 382212485298 390076939728 406463082912 413018939088 414931063806 421213759308 429880709088 436814268912 438836557194 457270968276 474206930064 481855428936 483615797724 491416052526 501527493936 509616647064 523103753592 533482796322 542087357553 553241418408 561618345744 564218430678 573318727947 585115409592 609694624368 619528408632 622396595709 631820638962 642473905248 644821063632 655221403368 658254835791 679488862752 685906452414 697471671456 711310395096 722783143404 725423696586 737124078789 737655224544 752291240904 764424970596 780153879456 800224194483 826037878176 829862127612 842427518616 846327646017 873628537824 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3319448510448 3369710074464 3385310584068 3439912367682 3510692457552 3658167746208 3734379574254 3790923833772 3868926381792 3931328420208 3949529014746 4267862370576 4336698860424 4352542179516 4422744472734 4513747445424 4586549823576 4801345166898 4979172765672 5054565111696 5077965876102 5159868551523 5266038686328 5487251619312 5601569361381 5686385750658 5782265147232 5803389572688 5896992630312 5924293522119 6115399764768 6401793555864 6528813269274 6634116709101 6638897020896 6770621168136 6879824735364 7021384915104 7468759148508 7581847667544 7616948814153 7862656840416 7899058029492 8535724741152 8673397720848 8705084359032 8845488945468 9027494890848 9173099647152 9602690333796 9793219903911 9958345531344 10109130223392 10155931752204 10319737103046 10532077372656 10974503238624 11203138722762 11372771501316 11606779145376 11793985260624 11848587044238 12803587111728 13057626538548 13268233418202 13541242336272 13759649470728 14937518297016 15163695335088 15233897628306 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91403385769836 92877633927414 94788696353904 104461012308384 106145867345616 106637283398142 117518638846932 121871181026448 123836845236552 134437664673144 137105078654754 139316450891121 142183044530856 156691518462576 159218801018424 159955925097213 165115793648736 176277958270398 179250219564192 182806771539672 185755267854828 189577392707808 205657617982131 212291734691232 213274566796284 235037277693864 243742362052896 247673690473104 268875329346288 274210157309508 278632901782242 284366089061712 313383036925152 318437602036848 319911850194426 352555916540796 365613543079344 371510535709656 411315235964262 426549133592568 470074555387728 479867775291639 495347380946208 537750658692576 548420314619016 557265803564484 568732178123424 616972853946393 636875204073696 639823700388852 705111833081592 731227086158688 743021071419312 822630471928524 853098267185136 940149110775456 959735550583278 1096840629238032 1114531607128968 1233945707892786 1279647400777704 1410223666163184 1439603325874917 1486042142838624 1645260943857048 1706196534370272 1919471101166556 2193681258476064 2229063214257936 2467891415785572 2559294801555408 2820447332326368 2879206651749834 3290521887714096 3838942202333112 4318809977624751 4458126428515872 4935782831571144 5118589603110816 5758413303499668 6581043775428192 7677884404666224 8637619955249502 9871565663142288 11516826606999336 15355768809332448 17275239910499004 19743131326284576 23033653213998672 34550479820998008 46067306427997344 69100959641996016 138201919283992032
- Sum of all divisors σ(n): 491989794043948704
- Sum of proper divisors (its aliquot sum) s(n): 353787874759956672
- 138201919283992032 is an abundant number, because the sum of its proper divisors (353787874759956672) is greater than itself. Its abundance is 215585955475964640
Bases of 138201919283992032
- Binary: 1111010101111110111101001110100100011001100010101111000002
- Hexadecimal: 0x1EAFDE9D23315E0
- Base-36: 11SSHP8PVI00
Squares and roots of 138201919283992032
- 138201919283992032 squared (1382019192839920322) is 19099770493779048686870290239489024
- 138201919283992032 cubed (1382019192839920323) is 2639624940124024723781859610795578141779310567456768
-
The
square root of 138201919283992032 is 371755187.2993731771 -
The
cube root of 138201919283992032 is 517016.8429976409
Scales and comparisons
How big is 138201919283992032?- 138,201,919,283,992,032 seconds is equal to 4,394,393,546 years, 32 weeks, 4 days, 3 hours, 7 minutes, 12 seconds.
-
To count from 1 to 138,201,919,283,992,032 would take you about thirteen billion, one hundred eighty-three million, one hundred eighty thousand, six hundred thirty-nine 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 138201919283992032 cubic inches would be around 43084.7 feet tall.
Recreational maths with 138201919283992032
- 138201919283992032 backwards is 230299382919102831
- 138201919283992032 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138201919283992032's digits is 72
- More coming soon!
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The information we have on file for 138201919283992032 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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