138214721712375
138,214,721,712,375 is an odd composite number composed of six prime numbers multiplied together.
138214721712375 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138214721712375:
33 × 53 × 72 × 113 × 232 × 1187
(3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 23 × 23 × 1187)See below for interesting mathematical facts about the number 138214721712375 from the Numbermatics database.
Names of 138214721712375
- Cardinal: 138214721712375 can be written as One hundred thirty-eight trillion, two hundred fourteen billion, seven hundred twenty-one million, seven hundred twelve thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38214721712375 × 1014
Factors of 138214721712375
Divisors of 138214721712375
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 3 5 7 9 11 15 21 23 25 27 33 35 45 49 55 63 69 75 77 99 105 115 121 125 135 147 161 165 175 189 207 225 231 245 253 275 297 315 345 363 375 385 441 483 495 525 529 539 575 605 621 675 693 735 759 805 825 847 875 945 1035 1089 1125 1127 1155 1187 1225 1265 1323 1331 1375 1449 1485 1575 1587 1617 1725 1771 1815 1925 2079 2205 2277 2415 2475 2541 2625 2645 2695 2783 2875 3025 3105 3267 3375 3381 3465 3561 3675 3703 3795 3993 4025 4125 4235 4347 4725 4761 4851 5175 5313 5445 5635 5775 5819 5929 5935 6125 6325 6615 6655 6831 7245 7425 7623 7875 7935 8085 8309 8349 8625 8855 9075 9317 9625 10143 10395 10683 11025 11109 11385 11979 12075 12375 12397 12705 13057 13225 13475 13915 14283 14553 15125 15525 15939 16335 16905 17325 17457 17787 17805 18375 18515 18975 19481 19965 20125 21175 21735 22869 23625 23805 24255 24927 25047 25875 25921 26565 27225 27301 27951 28175 28875 29095 29645 29675 30429 30613 31625 32049 33075 33275 33327 34155 35937 36225 37125 37191 38115 39171 39675 40425 40733 41545 41745 44275 45375 46585 47817 50715 51975 52371 53361 53415 55125 55545 56925 58163 58443 59895 60375 61985 63525 64009 65219 65285 66125 67375 69575 71415 72765 74781 75141 77625 77763 79695 81675 81903 83853 84525 86625 87285 88935 89025 91399 91839 92575 94875 97405 99825 99981 105875 108675 111573 114345 117513 119025 121275 122199 124635 125235 129605 132825 136125 136367 136505 139755 140875 143627 145475 148225 148375 152145 153065 157113 160083 160245 165375 166375 166635 170775 174489 175329 179685 181125 185955 190575 191107 192027 195657 195855 198375 202125 203665 207725 208725 214291 221375 224343 232925 233289 239085 245709 251559 253575 259875 261855 266805 267075 274197 275517 277725 284625 285131 290815 292215 299475 300311 309925 317625 320045 326095 326425 334719 347875 352539 357075 363825 366597 373905 375705 388815 398475 408375 409101 409515 419265 422625 430881 436425 444675 445125 448063 456995 459195 462875 487025 499125 499905 523467 525987 543375 557865 571725 573321 576081 586971 587565 595125 606375 610995 623175 626175 627923 639793 642873 648025 664125 681835 682525 698775 699867 704099 718135 727375 737127 741125 760725 765325 785565 800415 801225 822591 826551 833175 853875 855393 872445 876645 898425 900933 929775 952875 955535 960135 978285 979275 1005389 1018325 1038625 1043625 1071455 1099791 1121715 1164625 1166445 1195425 1227303 1228545 1257795 1267875 1292643 1309275 1334025 1335375 1337749 1344189 1370985 1377585 1388625 1425655 1454075 1461075 1497375 1500037 1501555 1549625 1570401 1579897 1600225 1630475 1632125 1673595 1719963 1728243 1760913 1762695 1785375 1819125 1832985 1869525 1878525 1883769 1919379 1928619 1944075 1992375 2045505 2047575 2096325 2102177 2112297 2154405 2182125 2223375 2240315 2284975 2295975 2435125 2467773 2499525 2566179 2617335 2629935 2702799 2789325 2858625 2866605 2880405 2934855 2937825 3016167 3054975 3115875 3130875 3136441 3139615 3198965 3214365 3240125 3303421 3409175 3412625 3493875 3499335 3520495 3590675 3681909 3685635 3803625 3826625 3877929 3927825 4002075 4006125 4013247 4032567 4112955 4132755 4165875 4276965 4362225 4383225 4395461 4492125 4500111 4504665 4648875 4739691 4777675 4800675 4891425 4896375 4928693 5026945 5091625 5159889 5357275 5498955 5608575 5651307 5758137 5785857 5832225 5977125 6136515 6142725 6288975 6306531 6336891 6463215 6546375 6670125 6688745 6720945 6854925 6887925 6907153 7037723 7128275 7270375 7305375 7500185 7507775 7698537 7852005 7899485 8001125 8108397 8152375 8367975 8599815 8641215 8804565 8813475 9048501 9164925 9347625 9392625 9409323 9418845 9596895 9643095 9720375 9910263 10227525 10237875 10481625 10510885 10561485 10772025 11059279 11201575 11424875 11479875 12039741 12097701 12338865 12497625 12830895 13086675 13149675 13186383 13500333 13513995 13946625 14219073 14333025 14402025 14674275 14689125 14715239 14786079 15080835 15274875 15682205 15698075 15994825 16071825 16517105 16953921 17045875 17274411 17496675 17602475 17953375 18409545 18428175 18919593 19010673 19389645 19639125 20010375 20066235 20162835 20564775 20663775 20721459 21113169 21384825 21811125 21916125 21977305 22500555 22523325 23123947 23698455 23888375 24003375 24457125 24643465 25134725 25799445 26786375 27145503 27494775 28042875 28227969 28256535 28790685 28929285 29161125 29730789 30682575 30713625 30768227 31444875 31532655 31684455 32316075 33177837 33443725 33604725 34274625 34439625 34500851 34535765 35188615 35641375 36119223 36337631 37500925 37538875 38492685 39260025 39497425 39559149 40500999 40541985 41839875 42657219 42999075 43206075 44022825 44067375 44145717 44358237 45242505 45824625 47046615 47094225 47984475 48215475 48350071 49551315 51137625 52554425 52807425 53860125 55296395 56007875 56758779 60198705 60488505 61694325 62164377 63339507 64154475 65433375 65748375 65931915 67501665 67569975 69371841 71095365 71665125 72010125 73371375 73576195 73930395 75404175 75978683 77414953 78411025 78490375 79974125 80359125 82585525 84683907 84769605 86372055 87483375 88012375 89192367 92047725 92140875 92304681 94597965 95053365 96948225 99533511 100331175 100814175 102823875 103318875 103502553 103607295 105565845 106924125 109012893 109886525 112502775 112616625 115619735 118492275 118677447 123217325 125673625 128997225 132437151 133074711 135727515 137473875 141139845 141282675 143953425 144646425 145050213 148653945 153412875 153841135 157663275 158422275 161580375 161867629 165889185 167218625 168023625 172504255 172678825 175943075 180596115 181688155 186493131 187504625 190018521 192463425 196300125 197487125 197795745 202504995 202709925 208115523 213286095 214995375 216030375 220114125 220728585 221791185 226212525 227936049 232244859 235233075 235471125 239922375 241077375 241750355 247756575 254363417 262772125 264037125 276481975 276914043 283793895 298600533 300993525 302442525 308471625 310507659 310821885 316697535 320772375 327038679 329659575 337508325 337849875 338450497 346859205 355476825 367880975 369651975 377020875 379893415 387074765 392055125 397311453 412927625 423419535 423848025 431860275 435150639 445961835 460238625 461523405 472989825 475266825 484741125 485602887 497667555 501655875 504070875 517512765 518036475 527829225 531850781 545064465 549432625 562513875 578098675 592461375 593387235 616086625 624346569 644986125 662185755 665373555 678637575 683808147 696734577 705699225 706413375 719767125 723232125 725251065 743269725 763090251 769205675 788316375 792111375 809338145 829445925 830742129 835765513 862521275 863394125 879715375 902980575 908440775 931522977 932465655 950092605 962317125 981116037 988978725 1012524975 1013549625 1015351491 1040577615 1066430475 1103642925 1108955925 1131062625 1139680245 1161224295 1176165375 1208751775 1238782875 1271817085 1305451917 1382409875 1384570215 1418969475 1456808661 1493002665 1504967625 1512212625 1552538295 1554109425 1583487675 1595552343 1635193395 1648297875 1687541625 1692252485 1734296025 1777384125 1780543919 1839404875 1848259875 1899467075 1935373825 1986557265 2051424441 2090203731 2117097675 2119240125 2159301375 2175753195 2229809175 2289270753 2307617025 2364949125 2376334125 2428014435 2488337775 2507296539 2587563825 2590182375 2639146125 2659253905 2725322325 2890493375 2966936175 3046054473 3121732845 3310928775 3326867775 3393187875 3419040735 3483672885 3528496125 3626255325 3716348625 3722955467 3815451255 3846028375 4046690725 4147229625 4153710645 4178827565 4312606375 4370425983 4514902875 4542203875 4657614885 4662328275 4750463025 4786657029 4905580185 4944893625 5062624875 5076757455 5202888075 5332152375 5341631757 5518214625 5544779625 5698401225 5806121475 5850358591 6043758875 6359085425 6527259585 6867812259 6922851075 7094847375 7284043305 7465013325 7521889617 7762691475 7770547125 7917438375 7977761715 8175966975 8461262425 8671480125 8902719595 9138163419 9497335375 9676869125 9932786325 10257122205 10451018655 10585488375 10878765975 11149045875 11168866401 11446353765 11538085125 12140072175 12441688875 12536482695 12937819125 13296269525 13626611625 14359971087 14834680875 15230272365 15608664225 16024895271 16554643875 16634338875 17095203675 17418364425 17551075773 18131276625 18614777335 19077256275 20233453625 20768553225 20894137825 21852129915 22565668851 23288074425 23311641375 23752315125 23933285145 24527900925 25383787275 26014440375 26708158785 28492006125 29030607375 29251792955 31795427125 32636297925 33506599203 34339061295 34614255375 36420216525 37325066625 37609448085 38813457375 39888808575 40879834875 40952510137 42306312125 44513597975 45690817095 48074685813 49663931625 51285611025 52255093275 52653227319 54393829875 55844332005 57231768825 60700360875 62682413475 66481347625 71799855435 76151361825 78043321125 80124476355 85476018375 87091822125 87755378865 93073886675 95386281375 100519797609 103842766125 104470689125 109260649575 112828344255 116440372125 119666425725 122639504625 122857530411 126918936375 133540793925 146258964775 157959681957 163181489625 167532996015 171695306475 182101082625 188047240425 199444042875 204762550685 222567989875 228454085475 240373429065 256428055125 261275466375 263266136595 279221660025 286158844125 313412067375 358999277175 368572591233 380756809125 400622381775 438776894325 465369433375 502598988045 546303247875 564141721275 598332128625 614287652055 667703969625 731294823875 789798409785 837664980075 858476532375 940236202125 1023812753425 1105717773699 1142270427375 1201867145325 1316330682975 1396108300125 1794996385875 1842862956165 2003111908875 2193884471625 2512994940225 2820708606375 3071438260275 3948992048925 4188324900375 5119063767125 5528588868495 6009335726625 6581653414875 9214314780825 12564974701125 15357191301375 19744960244625 27642944342475 46071573904125 138214721712375
- Sum of all divisors σ(n): 342091350881280
- Sum of proper divisors (its aliquot sum) s(n): 203876629168905
- 138214721712375 is an abundant number, because the sum of its proper divisors (203876629168905) is greater than itself. Its abundance is 65661907456530
Bases of 138214721712375
- Binary: 111110110110100100111110110001111110000111101112
- Hexadecimal: 0x7DB49F63F0F7
- Base-36: 1CZQYSPJ3R
Squares and roots of 138214721712375
- 138214721712375 squared (1382147217123752) is 19103309298029265252228140625
- 138214721712375 cubed (1382147217123753) is 2640358578412540707855304918889162302734375
-
The
square root of 138214721712375 is 11756475.7352012171 -
The
cube root of 138214721712375 is 51703.2807239823
Scales and comparisons
How big is 138214721712375?- 138,214,721,712,375 seconds is equal to 4,394,800 years, 32 weeks, 3 days, 5 hours, 26 minutes, 15 seconds.
-
To count from 1 to 138,214,721,712,375 would take you about ten million, nine hundred eighty-seven thousand and 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 138214721712375 cubic inches would be around 4308.6 feet tall.
Recreational maths with 138214721712375
- 138214721712375 backwards is 573217127412831
- The number of decimal digits it has is: 15
- The sum of 138214721712375's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138214721712375 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 138214721712375 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/138214721712375/
Chicago style:
Numbermatics. 2024. "Number 138214721712375 - Facts about the integer". https://numbermatics.com/n/138214721712375/
The information we have on file for 138214721712375 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!
Keywords: Divisors of 138214721712375, math, Factors of 138214721712375, curriculum, school, college, exams, university, Prime factorization of 138214721712375, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred fourteen billion, seven hundred twenty-one million, seven hundred twelve thousand, three hundred seventy-five.