138826679918220
138,826,679,918,220 is an even composite number composed of six prime numbers multiplied together.
What does the number 138826679918220 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
138826679918220 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138826679918220:
22 × 36 × 5 × 7 × 232 × 1373
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 23 × 23 × 137 × 137 × 137)See below for interesting mathematical facts about the number 138826679918220 from the Numbermatics database.
Names of 138826679918220
- Cardinal: 138826679918220 can be written as One hundred thirty-eight trillion, eight hundred twenty-six billion, six hundred seventy-nine million, nine hundred eighteen thousand, two hundred twenty.
Scientific notation
- Scientific notation: 1.3882667991822 × 1014
Factors of 138826679918220
Divisors of 138826679918220
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 27 28 30 35 36 42 45 46 54 60 63 69 70 81 84 90 92 105 108 115 126 135 137 138 140 161 162 180 189 207 210 230 243 252 270 274 276 315 322 324 345 378 405 411 414 420 460 483 486 529 540 548 567 621 630 644 685 690 729 756 805 810 822 828 945 959 966 972 1035 1058 1134 1215 1233 1242 1260 1370 1380 1449 1458 1587 1610 1620 1644 1701 1863 1890 1918 1932 2055 2070 2116 2268 2415 2430 2466 2484 2645 2740 2835 2877 2898 2916 3105 3151 3174 3220 3402 3645 3699 3703 3726 3780 3836 4110 4140 4347 4761 4795 4830 4860 4932 5103 5290 5589 5670 5754 5796 6165 6210 6302 6348 6804 7245 7290 7398 7406 7452 7935 8220 8505 8631 8694 9315 9453 9522 9590 9660 10206 10580 11097 11109 11178 11340 11508 12330 12420 12604 13041 14283 14385 14490 14580 14796 14812 15755 15870 16767 17010 17262 17388 18495 18515 18630 18769 18906 19044 19180 20412 21735 22057 22194 22218 22356 23805 24660 25515 25893 26082 27945 28359 28566 28770 28980 31510 31740 33291 33327 33534 34020 34524 36990 37030 37260 37538 37812 39123 42849 43155 43470 44114 44388 44436 47265 47610 51030 51786 52164 55485 55545 55890 56307 56718 57132 57540 63020 65205 66171 66582 66654 67068 71415 72473 73980 74060 75076 77679 78246 83835 85077 85698 86310 86940 88228 93845 94530 95220 99873 99981 102060 103572 110285 110970 111090 111780 112614 113436 117369 128547 129465 130410 131383 132342 133164 133308 141795 142830 144946 155358 156492 166455 166635 167670 168921 170154 171396 172620 187690 189060 195615 198513 199746 199962 214245 217419 220570 221940 222180 225228 233037 234738 255231 257094 258930 260820 262766 264684 281535 283590 285660 289892 299943 310716 330855 332910 333270 335340 337842 340308 362365 375380 385641 388395 391230 394149 397026 399492 399924 425385 428490 431687 434838 441140 466074 469476 499365 499905 506763 507311 510462 514188 517860 525532 563070 567180 586845 595539 599886 642735 652257 656915 661710 665820 666540 675684 699111 724730 765693 771282 776790 782460 788298 794052 844605 850770 856980 863374 869676 899829 932148 992565 998730 999810 1013526 1014622 1020924 1087095 1126140 1165185 1173690 1182447 1191078 1199772 1276155 1285470 1295061 1304514 1313830 1323420 1398222 1449460 1499715 1520289 1521933 1531386 1542564 1553580 1576596 1689210 1701540 1726748 1786617 1799658 1928205 1956771 1970745 1985130 1997460 1999620 2027052 2029244 2158435 2174190 2297079 2330370 2347380 2364894 2382156 2533815 2536555 2552310 2570940 2571353 2590122 2609028 2627660 2699487 2796444 2977695 2999430 3021809 3040578 3043866 3062772 3261285 3378420 3495555 3547341 3573234 3599316 3828465 3856410 3885183 3913542 3941490 3970260 4316870 4348380 4499145 4560867 4565799 4594158 4660740 4729788 5067630 5073110 5104620 5142706 5180244 5359851 5398974 5870313 5912235 5955390 5998860 6043618 6081156 6087732 6475305 6522570 6991110 7094682 7146468 7601445 7609665 7656930 7712820 7714059 7770366 7827084 7882980 8633740 8933085 8998290 9065427 9121734 9131598 9188316 9783855 9928801 10135260 10146220 10285412 10642023 10719702 10797948 11485395 11655549 11740626 11824470 11910780 12087236 12856765 12950610 13045140 13497435 13682601 13697397 13982220 14189364 15109045 15202890 15219330 15313860 15428118 15540732 16079553 17610939 17736705 17866170 17996580 17999471 18130854 18243468 18263196 19425915 19567710 19857602 21284046 21439404 22804335 22828995 22970790 23142177 23311098 23481252 23648940 25713530 25901220 26799255 26994870 27196281 27365202 27394794 29351565 29786403 30218090 30405780 30438660 30856236 31926069 32159106 34966647 35221878 35473410 35732340 35998942 36261708 38570295 38851830 39135420 39715204 41092191 42568092 45327135 45608670 45657990 45941580 46284354 46622196 49644005 51427060 52832817 53210115 53598510 53989740 53998413 54392562 54730404 54789588 58277745 58703130 59141119 59572806 60436180 63852138 64318212 68413005 68486985 69426531 69501607 69933294 70443756 70946820 71997884 77140590 77703660 80397765 81588843 82184382 88054695 89359209 89997355 90654270 91217340 91315980 92568708 95778207 99288010 104899941 105665634 106420230 107197020 107996826 108785124 115710885 116555490 117406260 118282238 119145612 123276573 127704276 135981405 136826010 136973970 138853062 139003214 139866588 148932015 154281180 159630345 160795530 161995239 163177686 164368764 174833235 176109390 177423357 178718418 179994710 181308540 191556414 198576020 205460955 208279593 208504821 209799882 211331268 212840460 215993652 231421770 233110980 236564476 244766529 246553146 264164085 268077627 269992065 271962810 273652020 273947940 277706124 278006428 295705595 297864030 314699823 319260690 321591060 323990478 326355372 347132655 347508035 349666470 352218780 354846714 357436836 359989420 369829719 383112828 407944215 410921910 413987833 416559186 417009642 419599764 446796045 462843540 478891035 485985717 489533058 493106292 524499705 528328170 532270071 536155254 539984130 543925620 591411190 595728060 616382865 624838779 625514463 629399646 638521380 647980956 694265310 695016070 699332940 709693428 734299587 739659438 804232881 809976195 815888430 821843820 827975666 833118372 834019284 887116785 893592090 957782070 971971434 979066116 1041397965 1042524105 1048999410 1056656340 1064540142 1072310508 1079968260 1182822380 1223832645 1232765730 1241963499 1249677558 1251028926 1258799292 1340388135 1360245737 1388530620 1390032140 1457957151 1468599174 1479318876 1573499115 1596810213 1608465762 1619952390 1631776860 1655951332 1774233570 1787184180 1849148595 1874516337 1876543389 1915564140 1943942868 2069939165 2082795930 2085048210 2097998820 2129080284 2202898761 2412698643 2429928585 2447665290 2465531460 2483926998 2499355116 2502057852 2661350355 2680776270 2720491474 2915914302 2937198348 3124193895 3127572315 3146998230 3193620426 3216931524 3239904780 3548467140 3671497935 3698297190 3725890497 3749032674 3753086778 4021164405 4080737211 4139878330 4165591860 4170096420 4373871453 4405797522 4790430639 4825397286 4859857170 4895330580 4967853996 5322700710 5361552540 5440982948 5629630167 5831828604 6209817495 6248387790 6255144630 6293996460 6387240852 6801228685 7238095929 7289785755 7342995870 7396594380 7451780994 7498065348 7506173556 7984051065 8042328810 8161474422 8279756660 8747742906 8811595044 9372581685 9382716945 9521720159 9580861278 9650794572 9719714340 10645401420 11014493805 11177671491 11259260334 12063493215 12242211633 12419634990 12496775580 12510289260 13121614359 13602457370 14371291917 14476191858 14579571510 14685991740 14903561988 15968102130 16084657620 16322948844 16888890501 17495485812 18629452485 18745163370 18765433890 19043440318 19161722556 20403686055 21869357265 22028987610 22355342982 22518520668 23952153195 24126986430 24484423266 24839269980 26243228718 27204914740 28148150835 28565160477 28742583834 28952383716 29159143020 31936204260 33533014473 33777781002 36190479645 36726634899 37258904970 37490326740 37530867780 38086880636 40807372110 43113875751 43738714530 44057975220 44710685964 47608600795 47904306390 48253972860 48968846532 50666671503 52486457436 55888357455 56296301670 57130320954 57485167668 61211058165 65608071795 67066028946 67555562004 71856459585 72380959290 73453269798 74517809940 81614744220 84444452505 85695481431 86227751502 87477429060 95217201590 95808612780 100599043419 101333343006 110179904697 111776714910 112592603340 114260641908 122422116330 131216143590 134132057892 142825802385 143712919170 144761918580 146906539596 167665072365 168888905010 171390962862 172455503004 183633174495 190434403180 201198086838 202666686012 215569378755 220359809394 223553429820 244844232660 253333357515 257086444293 262432287180 285651604770 287425838340 301797130257 330539714091 335330144730 337777810020 342781925724 367266348990 402396173676 428477407155 431138757510 440719618788 502995217095 506666715030 514172888586 550899523485 571303209540 603594260514 661079428182 670660289460 734532697980 771259332879 856954814310 862277515020 991619142273 1005990434190 1013333430060 1028345777172 1101799046970 1207188521028 1285432221465 1322158856364 1508985651285 1542518665758 1652698570455 1713909628620 1983238284546 2011980868380 2203598093940 2313777998637 2570864442930 3017971302570 3085037331516 3305397140910 3856296664395 3966476569092 4627555997274 4958095711365 5141728885860 6035942605140 6610794281820 6941333995911 7712593328790 9255111994548 9916191422730 11568889993185 13882667991822 15425186657580 19832382845460 23137779986370 27765335983644 34706669979555 46275559972740 69413339959110 138826679918220
- Sum of all divisors σ(n): 526051095877440
- Sum of proper divisors (its aliquot sum) s(n): 387224415959220
- 138826679918220 is an abundant number, because the sum of its proper divisors (387224415959220) is greater than itself. Its abundance is 248397736041000
Bases of 138826679918220
- Binary: 111111001000011000110101111000100011110100011002
- Hexadecimal: 0x7E431AF11E8C
- Base-36: 1D7K3GTOR0
Squares and roots of 138826679918220
- 138826679918220 squared (1388266799182202) is 19272847057115908225887968400
- 138826679918220 cubed (1388266799182203) is 2675585369511038481853777730203793944248000
-
The
square root of 138826679918220 is 11782473.4210699581 -
The
cube root of 138826679918220 is 51779.4753684581
Scales and comparisons
How big is 138826679918220?- 138,826,679,918,220 seconds is equal to 4,414,259 years, 19 hours, 57 minutes.
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To count from 1 to 138,826,679,918,220 would take you about eleven million, thirty-five thousand, six hundred forty-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 138826679918220 cubic inches would be around 4315 feet tall.
Recreational maths with 138826679918220
- 138826679918220 backwards is 022819976628831
- The number of decimal digits it has is: 15
- The sum of 138826679918220's digits is 72
- More coming soon!
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"Number 138826679918220 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138826679918220 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138826679918220/
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The information we have on file for 138826679918220 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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