138120177554943168
138,120,177,554,943,168 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138120177554943168 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 448 divisors.
138120177554943168 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138120177554943168:
26 × 3 × 13 × 41 × 89 × 64399 × 235483
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 41 × 89 × 64399 × 235483)See below for interesting mathematical facts about the number 138120177554943168 from the Numbermatics database.
Names of 138120177554943168
- Cardinal: 138120177554943168 can be written as One hundred thirty-eight quadrillion, one hundred twenty trillion, one hundred seventy-seven billion, five hundred fifty-four million, nine hundred forty-three thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38120177554943168 × 1017
Factors of 138120177554943168
Divisors of 138120177554943168
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 89 96 104 123 156 164 178 192 208 246 267 312 328 356 416 492 533 534 624 656 712 832 984 1066 1068 1157 1248 1312 1424 1599 1968 2132 2136 2314 2496 2624 2848 3198 3471 3649 3936 4264 4272 4628 5696 6396 6942 7298 7872 8528 8544 9256 10947 12792 13884 14596 17056 17088 18512 21894 25584 27768 29192 34112 37024 43788 47437 51168 55536 58384 64399 74048 87576 94874 102336 111072 116768 128798 142311 175152 189748 193197 222144 233536 235483 257596 284622 350304 379496 386394 470966 515192 569244 700608 706449 758992 772788 837187 941932 1030384 1138488 1412898 1517984 1545576 1674374 1883864 2060768 2276976 2511561 2640359 2825796 3035968 3061279 3091152 3348748 3767728 4121536 4553952 5023122 5280718 5651592 5731511 6122558 6182304 6697496 7535456 7921077 9107904 9183837 9654803 10046244 10561436 11303184 11463022 12245116 12364608 13394992 15070912 15842154 17194533 18367674 19309606 20092488 20957987 21122872 22606368 22926044 24490232 26789984 28964409 31684308 34324667 34389066 36735348 38619212 40184976 41915974 42245744 45212736 45852088 48980464 53579968 57928818 62873961 63368616 68649334 68778132 73470696 74509643 77238424 80369952 83831948 84491488 91704176 97960928 102974001 115857636 125512439 125747922 126737232 137298668 137556264 146941392 149019286 154476848 160739904 167663896 168982976 183408352 195921856 205948002 223528929 231715272 234991951 251024878 251495844 253474464 272453831 274597336 275112528 293882784 298038572 308953696 335327792 366816704 376537317 411896004 447057858 463430544 469983902 502049756 502991688 506948928 544907662 549194672 550225056 587765568 596077144 617907392 670655584 704975853 753074634 817361493 823792008 859277467 894115716 926861088 939967804 1004099512 1005983376 1089815324 1098389344 1100450112 1192154288 1341311168 1409951706 1506149268 1634722986 1647584016 1718554934 1788231432 1853722176 1879935608 2008199024 2011966752 2179630648 2196778688 2384308576 2577832401 2819903412 3012298536 3054895363 3269445972 3295168032 3437109868 3576462864 3759871216 4016398048 4023933504 4359261296 4768617152 5155664802 5639806824 6024597072 6109790726 6538891944 6590336064 6874219736 7152925728 7519742432 8032796096 8718522592 9164686089 10311329604 11170607071 11279613648 12049194144 12219581452 13077783888 13748439472 14305851456 15039484864 15164869717 17437045184 18329372178 20622659208 22341214142 22559227296 24098388288 24439162904 26155567776 27496878944 30329739434 33511821213 36658744356 41245318416 44682428284 45118454592 45494609151 48878325808 52311135552 54993757888 60659478868 67023642426 73317488712 82490636832 89364856568 90989218302 97756651616 121318957736 134047284852 146634977424 164981273664 178729713136 181978436604 195513303232 197143306321 242637915472 268094569704 293269954848 357459426272 363956873208 394286612642 485275830944 536189139408 586539909696 591429918963 621759658397 714918852544 727913746416 788573225284 970551661888 1072378278816 1182859837926 1243519316794 1349673404813 1455827492832 1577146450568 1865278975191 2144756557632 2365719675852 2487038633588 2699346809626 2911654985664 3154292901136 3730557950382 4049020214439 4731439351704 4974077267176 5398693619252 6308585802272 7461115900764 8082875559161 8098040428878 9462878703408 9948154534352 10797387238504 12617171604544 14922231801528 16165751118322 16196080857756 17545754262569 18925757406816 19896309068704 21594774477008 24248626677483 29844463603056 32331502236644 32392161715512 35091508525138 37851514813632 39792618137408 43189548954016 48497253354966 52637262787707 55336609597333 59688927206112 64663004473288 64784323431024 70183017050276 86379097908032 96994506709932 105274525575414 110673219194666 119377854412224 129326008946576 129568646862048 140366034100552 166009828791999 193989013419864 210549051150828 221346438389332 258652017893152 259137293724096 280732068201104 332019657583998 387978026839728 421098102301656 442692876778664 517304035786304 561464136402208 664039315167996 719375924765329 775956053679456 842196204603312 885385753557328 1122928272804416 1328078630335992 1438751849530658 1551912107358912 1684392409206624 1770771507114656 2158127774295987 2656157260671984 2877503699061316 3368784818413248 3541543014229312 4316255548591974 5312314521343968 5755007398122632 8632511097183948 10624629042687936 11510014796245264 17265022194367896 23020029592490528 34530044388735792 46040059184981056 69060088777471584 138120177554943168
- Sum of all divisors σ(n): 407690713817856000
- Sum of proper divisors (its aliquot sum) s(n): 269570536262912832
- 138120177554943168 is an abundant number, because the sum of its proper divisors (269570536262912832) is greater than itself. Its abundance is 131450358707969664
Bases of 138120177554943168
- Binary: 1111010101011001110010001110101110111100111101100110000002
- Hexadecimal: 0x1EAB391D779ECC0
- Base-36: 11RZILLYWP1C
Squares and roots of 138120177554943168
- 138120177554943168 squared (1381201775549431682) is 19077183447809026486163391709876224
- 138120177554943168 cubed (1381201775549431683) is 2634943965059605619510879531115857468075296634437632
-
The
square root of 138120177554943168 is 371645230.7711524611 -
The
cube root of 138120177554943168 is 516914.8902756131
Scales and comparisons
How big is 138120177554943168?- 138,120,177,554,943,168 seconds is equal to 4,391,794,412 years, 25 weeks, 2 days, 4 hours, 12 minutes, 48 seconds.
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To count from 1 to 138,120,177,554,943,168 would take you about thirteen billion, one hundred seventy-five million, three hundred eighty-three thousand, two hundred thirty-seven 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 138120177554943168 cubic inches would be around 43076.2 feet tall.
Recreational maths with 138120177554943168
- 138120177554943168 backwards is 861349455771021831
- The number of decimal digits it has is: 18
- The sum of 138120177554943168's digits is 75
- More coming soon!
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The information we have on file for 138120177554943168 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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