138407854766797440
138,407,854,766,797,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138407854766797440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
138407854766797440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138407854766797440:
27 × 35 × 5 × 112 × 43 × 211 × 810659
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 43 × 211 × 810659)See below for interesting mathematical facts about the number 138407854766797440 from the Numbermatics database.
Names of 138407854766797440
- Cardinal: 138407854766797440 can be written as One hundred thirty-eight quadrillion, four hundred seven trillion, eight hundred fifty-four billion, seven hundred sixty-six million, seven hundred ninety-seven thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3840785476679744 × 1017
Factors of 138407854766797440
Divisors of 138407854766797440
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 43 44 45 48 54 55 60 64 66 72 80 81 86 88 90 96 99 108 110 120 121 128 129 132 135 144 160 162 165 172 176 180 192 198 211 215 216 220 240 242 243 258 264 270 288 297 320 324 330 344 352 360 363 384 387 396 405 422 430 432 440 473 480 484 486 495 516 528 540 576 594 605 633 640 645 648 660 688 704 720 726 774 792 810 844 860 864 880 891 946 960 968 972 990 1032 1055 1056 1080 1089 1152 1161 1188 1210 1215 1266 1290 1296 1320 1376 1408 1419 1440 1452 1485 1548 1584 1620 1688 1720 1728 1760 1782 1815 1892 1899 1920 1935 1936 1944 1980 2064 2110 2112 2160 2178 2321 2322 2365 2376 2420 2430 2532 2580 2592 2640 2673 2752 2838 2880 2904 2970 3096 3165 3168 3240 3267 3376 3440 3456 3483 3520 3564 3630 3784 3798 3870 3872 3888 3960 4128 4220 4224 4257 4320 4356 4455 4642 4644 4730 4752 4840 4860 5064 5160 5184 5203 5280 5346 5445 5504 5676 5697 5760 5805 5808 5940 6192 6330 6336 6480 6534 6752 6880 6963 6966 7040 7095 7128 7260 7568 7596 7740 7744 7776 7920 8256 8440 8514 8640 8712 8910 9073 9284 9288 9460 9495 9504 9680 9720 9801 10128 10320 10368 10406 10449 10560 10692 10890 11352 11394 11605 11610 11616 11880 12384 12660 12672 12771 12960 13068 13365 13504 13760 13926 13932 14190 14256 14520 15136 15192 15480 15488 15552 15609 15840 16335 16512 16880 17028 17091 17280 17415 17424 17820 18146 18568 18576 18920 18990 19008 19360 19440 19602 20256 20640 20812 20889 20898 21120 21285 21384 21780 22704 22788 23210 23220 23232 23760 24768 25320 25531 25542 25920 26015 26136 26730 27008 27219 27520 27852 27864 28380 28485 28512 29040 29403 30272 30384 30960 31104 31218 31680 32670 33760 34056 34182 34815 34830 34848 35640 36292 37136 37152 37840 37980 38016 38313 38720 38880 39204 40512 41280 41624 41778 41796 42570 42768 43560 45365 45408 45576 46420 46440 46464 46827 47520 49005 49536 50640 51062 51084 51273 51840 52030 52245 52272 53460 54438 55704 55728 56760 56970 57024 58080 58806 60544 60768 61920 62436 62667 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28596664208016 29126232063720 29261702910528 29803586297760 29816427136320 31067980867968 31774071342240 32038855270092 32513003233920 32767011071685 32798069849952 33529034584980 34951478476464 35598728077880 35745830260020 35764303557312 36442299833280 36577128638160 38128885610688 38834976084960 39320413286022 39738115063680 40048569087615 40234841501976 40997587312440 42365428456320 42718473693456 43689348095580 43730759799936 44705379446640 46601971301952 47661107013360 48058282905138 48769504850880 50293551877470 51779968113280 52427217714696 53398092116820 53646455335968 54663449749920 56957964924608 57193328416032 58252464127440 58523405821056 59607172595520 59632854272640 63548142684480 64077710540184 65534022143370 65596139699904 67058069169960 69902956952928 71197456155760 71491660520040 71528607114624 72087424357707 72884599666560 73154257276320 76257771221376 77669952169920 78640826572044 80097138175230 80469683003952 81995174624880 85436947386912 87378696191160 89410758893280 93203942603904 95322214026720 96116565810276 97539009701760 98301033215055 100587103754940 104854435429392 106796184233640 107292910671936 109326899499840 113915929849216 114386656832064 116504928254880 119214345191040 120145707262845 127096285368960 128155421080368 131068044286740 131192279399808 134116138339920 139805913905856 142394912311520 142983321040080 144174848715414 146308514552640 155339904339840 157281653144088 160194276350460 160939366007904 163990349249760 170873894773824 174757392382320 178821517786560 190644428053440 192233131620552 196602066430110 201174207509880 209708870858784 213592368467280 214585821343872 216262273073121 218653798999680 228773313664128 233009856509760 240291414525690 256310842160736 262136088573480 268232276679840 279611827811712 284789824623040 285966642080160 288349697430828 292617029105280 314563306288176 320388552700920 321878732015808 327980698499520 341747789547648 349514784764640 357643035573120 360437121788535 381288856106880 384466263241104 393204132860220 402348415019760 419417741717568 427184736934560 432524546146242 466019713019520 480582829051380 512621684321472 524272177146960 536464553359680 569579649246080 571933284160320 576699394861656 629126612576352 640777105401840 643757464031616 655961396999040 699029569529280 720874243577070 768932526482208 786408265720440 804696830039520 838835483435136 854369473869120 865049092292484 961165658102760 1025243368642944 1048544354293920 1072929106719360 1081311365365605 1143866568320640 1153398789723312 1258253225152704 1281554210803680 1398059139058560 1441748487154140 1537865052964416 1572816531440880 1609393660079040 1708738947738240 1730098184584968 1922331316205520 2097088708587840 2162622730731210 2306797579446624 2516506450305408 2563108421607360 2883496974308280 3075730105928832 3145633062881760 3218787320158080 3460196369169936 3844662632411040 4194177417175680 4325245461462420 4613595158893248 5126216843214720 5766993948616560 6291266125763520 6920392738339872 7689325264822080 8650490922924840 9227190317786496 11533987897233120 12582532251527040 13840785476679744 15378650529644160 17300981845849680 23067975794466240 27681570953359488 34601963691699360 46135951588932480 69203927383398720 138407854766797440
- Sum of all divisors σ(n): 560107950334732800
- Sum of proper divisors (its aliquot sum) s(n): 421700095567935360
- 138407854766797440 is an abundant number, because the sum of its proper divisors (421700095567935360) is greater than itself. Its abundance is 283292240801137920
Bases of 138407854766797440
- Binary: 1111010111011100100110101111010010111111110110010100000002
- Hexadecimal: 0x1EBB935E97FB280
- Base-36: 11UTHMP38O00
Squares and roots of 138407854766797440
- 138407854766797440 squared (1384078547667974402) is 19156734261146892834165833990553600
- 138407854766797440 cubed (1384078547667974403) is 2651442493422951806152599851945486087395884662784000
-
The
square root of 138407854766797440 is 372032061.4769612029 -
The
cube root of 138407854766797440 is 517273.5188155659
Scales and comparisons
How big is 138407854766797440?- 138,407,854,766,797,440 seconds is equal to 4,400,941,657 years, 50 weeks, 6 days, 14 hours, 24 minutes.
-
To count from 1 to 138,407,854,766,797,440 would take you about thirteen billion, two hundred two million, eight hundred twenty-four thousand, nine hundred seventy-three 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 138407854766797440 cubic inches would be around 43106.1 feet tall.
Recreational maths with 138407854766797440
- 138407854766797440 backwards is 044797667458704831
- 138407854766797440 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138407854766797440's digits is 90
- More coming soon!
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Cite this page
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"Number 138407854766797440 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 138407854766797440 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138407854766797440/
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The information we have on file for 138407854766797440 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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