138167242750982177040
138,167,242,750,982,177,040 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138167242750982177040 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 640 divisors.
138167242750982177040 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 138167242750982177040:
24 × 3 × 5 × 7 × 11 × 53 × 71 × 1986867499321
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 53 × 71 × 1986867499321)See below for interesting mathematical facts about the number 138167242750982177040 from the Numbermatics database.
Names of 138167242750982177040
- Cardinal: 138167242750982177040 can be written as One hundred thirty-eight quintillion, one hundred sixty-seven quadrillion, two hundred forty-two trillion, seven hundred fifty billion, nine hundred eighty-two million, one hundred seventy-seven thousand and forty.
Scientific notation
- Scientific notation: 1.3816724275098217704 × 1020
Factors of 138167242750982177040
- Number of distinct prime factors ω(n): 8
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 1986867499473
Divisors of 138167242750982177040
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 53 55 56 60 66 70 71 77 80 84 88 105 106 110 112 120 132 140 142 154 159 165 168 176 210 212 213 220 231 240 264 265 280 284 308 318 330 336 355 371 385 420 424 426 440 462 497 528 530 560 568 583 616 636 660 710 742 770 781 795 840 848 852 880 924 994 1060 1065 1113 1136 1155 1166 1232 1272 1320 1420 1484 1491 1540 1562 1590 1680 1704 1749 1848 1855 1988 2120 2130 2226 2310 2332 2343 2485 2544 2640 2840 2915 2968 2982 3080 3124 3180 3408 3498 3696 3710 3763 3905 3976 4081 4240 4260 4452 4620 4664 4686 4970 5467 5565 5680 5830 5936 5964 6160 6248 6360 6996 7420 7455 7526 7810 7952 8162 8520 8745 8904 9240 9328 9372 9940 10934 11130 11289 11660 11715 11928 12243 12496 12720 13992 14840 14910 15052 15620 16324 16401 17040 17490 17808 18480 18744 18815 19880 20405 21868 22260 22578 23320 23430 23856 24486 26341 27335 27984 29680 29820 30104 31240 32648 32802 34980 37488 37630 39760 40810 41393 43736 44520 45156 46640 46860 48972 52682 54670 56445 59640 60208 61215 62480 65296 65604 69960 75260 79023 81620 82005 82786 87472 89040 90312 93720 97944 105364 109340 112890 119280 122430 124179 131208 131705 139920 150520 158046 163240 164010 165572 180624 187440 195888 206965 210728 218680 225780 244860 248358 262416 263410 289751 301040 316092 326480 328020 331144 395115 413930 421456 437360 451560 489720 496716 526820 579502 620895 632184 656040 662288 790230 827860 869253 903120 979440 993432 1053640 1159004 1241790 1264368 1312080 1448755 1580460 1655720 1738506 1986864 2107280 2318008 2483580 2897510 3160920 3311440 3477012 4346265 4636016 4967160 5795020 6321840 6954024 8692530 9934320 11590040 13908048 17385060 23180080 34770120 69540240 1986867499321 3973734998642 5960602497963 7947469997284 9934337496605 11921204995926 13908072495247 15894939994568 19868674993210 21855542492531 23842409991852 27816144990494 29803012489815 31789879989136 39737349986420 41724217485741 43711084985062 47684819983704 55632289980988 59606024979630 65566627477593 69540362476235 79474699972840 83448434971482 87422169970124 95369639967408 105303977464013 109277712462655 111264579961976 119212049959260 131133254955186 139080724952470 141067592451791 152988797447717 158949399945680 166896869942964 174844339940248 208621087428705 210607954928026 218555424925310 222529159923952 238424099918520 262266509910372 278161449904940 282135184903582 305977594895434 315911932392039 327833137387965 333793739885928 349688679880496 417242174857410 421215909856052 423202777355373 437110849850620 458966392343151 476848199837040 524533019820744 526519887320065 556322899809880 564270369807164 611955189790868 631823864784078 655666274775930 667587479771856 705337962258955 737127842248091 764943987238585 834484349714820 842431819712104 846405554710746 874221699701240 917932784686302 987473147162537 1049066039641488 1053039774640130 1112645799619760 1128540739614328 1158343752104143 1223910379581736 1263647729568156 1311332549551860 1410675924517910 1474255684496182 1529887974477170 1551743516969701 1579559661960195 1668968699429640 1684863639424208 1692811109421492 1748443399402480 1835865569372604 1974946294325074 2106079549280260 2116013886776865 2211383526744273 2257081479228656 2294831961715755 2316687504208286 2447820759163472 2527295459136312 2622665099103720 2821351849035820 2948511368992364 2962419441487611 3059775948954340 3103487033939402 3159119323920390 3337937398859280 3385622218842984 3475031256312429 3671731138745208 3685639211240455 3949892588650148 4212159098560520 4232027773553730 4422767053488546 4589663923431510 4633375008416572 4655230550909103 4937365735812685 5054590918272624 5245330198207440 5642703698071640 5791718760520715 5897022737984728 5924838882975222 6119551897908680 6206974067878804 6318238647840780 6771244437685968 6950062512624858 7343462277490416 7371278422480910 7476582399944923 7758717584848505 7899785177300296 8108406264729001 8424318197121040 8464055547107460 8845534106977092 9179327846863020 9266750016833144 9310461101818206 9874731471625370 10862204618787907 11056917633721365 11285407396143280 11583437521041430 11794045475969456 11849677765950444 12239103795817360 12413948135757608 12636477295681560 13900125025249716 14742556844961820 14812097207438055 14953164799889846 15517435169697010 15799570354600592 16216812529458002 16928111094214920 17375156281562145 17691068213954184 18358655693726040 18533500033666288 18620922203636412 19749462943250740 21724409237575814 22113835267442730 22429747199834769 23166875042082860 23276152754545515 23699355531900888 24325218794187003 24827896271515216 25272954591363120 27800250050499432 29485113689923640 29624194414876110 29906329599779692 31034870339394020 32433625058916004 32586613856363721 33856222188429840 34750312563124290 35382136427908368 36717311387452080 37241844407272824 37382911999724615 39498925886501480 40542031323645005 43448818475151628 44227670534885460 44859494399669538 46333750084165720 46552305509091030 47398711063801776 48650437588374006 52336076799614461 54311023093939535 55600500100998864 58970227379847280 59248388829752220 59812659199559384 62069740678788040 64867250117832008 65173227712727442 69500625126248580 74483688814545648 74765823999449230 78997851773002960 81084062647290010 82242406399394153 86897636950303256 88455341069770920 89718988799339076 92667500168331440 93104611018182060 97300875176748012 104672153599228922 108622046187879070 112148735999173845 118496777659504440 119625318399118768 121626093970935015 124139481357576080 129734500235664016 130346455425454884 139001250252497160 149531647998898460 157008230398843383 162168125294580020 162933069281818605 164484812798788306 173795273900606512 176910682139541840 179437977598678152 186209222036364120 194601750353496024 209344307198457844 217244092375758140 224297471998347690 236993555319008880 243252187941870030 246727219198182459 260692910850909768 261680383998072305 278002500504994320 299063295997796920 314016460797686766 324336250589160040 325866138563637210 328969625597576612 358875955197356304 372418444072728240 389203500706992048 411212031996970765 418688614396915688 434488184751516280 448594943996695380 486504375883740060 493454438396364918 521385821701819536 523360767996144610 575696844795759071 598126591995593840 628032921595373532 648672501178320080 651732277127274420 657939251195153224 785041151994216915 822424063993941530 837377228793831376 868976369503032560 897189887993390760 973008751767480120 986908876792729836 1046721535992289220 1151393689591518142 1233636095990912295 1256065843190747064 1303464554254548840 1315878502390306448 1570082303988433830 1644848127987883060 1727090534387277213 1794379775986781520 1946017503534960240 1973817753585459672 2093443071984578440 2302787379183036284 2467272191981824590 2512131686381494128 2606929108509097680 2878484223978795355 3140164607976867660 3289696255975766120 3454181068774554426 3947635507170919344 4186886143969156880 4605574758366072568 4934544383963649180 5756968447957590710 6280329215953735320 6579392511951532240 6908362137549108852 8635452671936386065 9211149516732145136 9869088767927298360 11513936895915181420 12560658431907470640 13816724275098217704 17270905343872772130 19738177535854596720 23027873791830362840 27633448550196435408 34541810687745544260 46055747583660725680 69083621375491088520 138167242750982177040
- Sum of all divisors σ(n): 551746174367881764864
- Sum of proper divisors (its aliquot sum) s(n): 413578931616899587824
- 138167242750982177040 is an abundant number, because the sum of its proper divisors (413578931616899587824) is greater than itself. Its abundance is 275411688865917410784
Bases of 138167242750982177040
- Binary: 11101111101011101001010011100111101100101110111010101000001000100002
- Hexadecimal: 0x77D74A73D97754110
- Base-36: T5Q9ZW6UAHDLC
Squares and roots of 138167242750982177040
- 138167242750982177040 squared (1381672427509821770402) is 19090186969408836949519277591737903161600
- 138167242750982177040 cubed (1381672427509821770403) is 2637638497163947542130060064847207733992771140583066929664000
-
The
square root of 138167242750982177040 is 11754456293.2949891947 -
The
cube root of 138167242750982177040 is 5169735.9745420017
Scales and comparisons
How big is 138167242750982177040?- 138,167,242,750,982,177,040 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,167,242,750,982,177,040 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138167242750982177040 cubic inches would be around 430811.3 feet tall.
Recreational maths with 138167242750982177040
- 138167242750982177040 backwards is 040771289057242761831
- 138167242750982177040 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138167242750982177040's digits is 84
- More coming soon!
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The information we have on file for 138167242750982177040 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 138167242750982177040, math, Factors of 138167242750982177040, curriculum, school, college, exams, university, Prime factorization of 138167242750982177040, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred sixty-seven quadrillion, two hundred forty-two trillion, seven hundred fifty billion, nine hundred eighty-two million, one hundred seventy-seven thousand and forty.