138034877616221040
138,034,877,616,221,040 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138034877616221040 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 960 divisors.
138034877616221040 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138034877616221040:
24 × 32 × 5 × 7 × 13 × 17 × 113 × 1096699337
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 17 × 113 × 1096699337)See below for interesting mathematical facts about the number 138034877616221040 from the Numbermatics database.
Names of 138034877616221040
- Cardinal: 138034877616221040 can be written as One hundred thirty-eight quadrillion, thirty-four trillion, eight hundred seventy-seven billion, six hundred sixteen million, two hundred twenty-one thousand and forty.
Scientific notation
- Scientific notation: 1.3803487761622104 × 1017
Factors of 138034877616221040
- Number of distinct prime factors ω(n): 8
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1096699497
Divisors of 138034877616221040
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 26 28 30 34 35 36 39 40 42 45 48 51 52 56 60 63 65 68 70 72 78 80 84 85 90 91 102 104 105 112 113 117 119 120 126 130 136 140 144 153 156 168 170 180 182 195 204 208 210 221 226 234 238 240 252 255 260 272 273 280 306 312 315 336 339 340 357 360 364 390 408 420 442 452 455 468 476 504 510 520 546 560 565 585 595 612 624 630 663 678 680 714 720 728 765 780 791 816 819 840 884 904 910 936 952 1008 1017 1020 1040 1071 1092 1105 1130 1170 1190 1224 1260 1326 1356 1360 1365 1428 1456 1469 1530 1547 1560 1582 1638 1680 1695 1768 1785 1808 1820 1872 1904 1921 1989 2034 2040 2142 2184 2210 2260 2340 2373 2380 2448 2520 2652 2712 2730 2856 2938 3060 3094 3120 3164 3276 3315 3390 3536 3570 3640 3842 3955 3978 4068 4080 4095 4284 4368 4407 4420 4520 4641 4680 4746 4760 5040 5085 5304 5355 5424 5460 5712 5763 5876 6120 6188 6328 6552 6630 6780 7119 7140 7280 7345 7684 7735 7910 7956 8136 8190 8568 8814 8840 9040 9282 9360 9492 9520 9605 9945 10170 10283 10608 10710 10920 11526 11752 11865 12240 12376 12656 13104 13221 13260 13447 13560 13923 14238 14280 14690 15368 15470 15820 15912 16272 16380 17136 17289 17628 17680 18564 18984 19210 19890 20340 20566 21420 21840 22035 23052 23205 23504 23730 24752 24973 26442 26520 26894 27120 27846 28476 28560 28815 29380 30736 30849 30940 31640 31824 32760 34578 35256 35595 37128 37968 38420 39780 40341 40680 41132 42840 44070 46104 46410 47460 49946 51415 52884 53040 53788 55692 56952 57630 58760 61698 61880 63280 65520 66105 67235 69156 69615 70512 71190 74256 74919 76840 79560 80682 81360 82264 85680 86445 88140 92208 92547 92820 94920 99892 102830 105768 107576 111384 113904 115260 117520 121023 123396 123760 124865 132210 134470 138312 139230 142380 149838 153680 154245 159120 161364 164528 172890 174811 176280 185094 185640 189840 199784 201705 205660 211536 215152 222768 224757 230520 242046 246792 249730 264420 268940 276624 278460 284760 299676 308490 322728 345780 349622 352560 370188 371280 374595 399568 403410 411320 449514 461040 462735 484092 493584 499460 524433 528840 537880 556920 569520 599352 605115 616980 645456 691560 699244 740376 749190 806820 822640 874055 899028 925470 968184 998920 1048866 1057680 1075760 1113840 1123785 1198704 1210230 1233960 1383120 1398488 1480752 1498380 1573299 1613640 1748110 1798056 1850940 1936368 1997840 2097732 2247570 2420460 2467920 2622165 2796976 2996760 3146598 3227280 3496220 3596112 3701880 4195464 4495140 4840920 5244330 5993520 6293196 6992440 7403760 7866495 8390928 8990280 9681840 10488660 12586392 13984880 15732990 17980560 20977320 25172784 31465980 41954640 62931960 125863920 1096699337 2193398674 3290098011 4386797348 5483496685 6580196022 7676895359 8773594696 9870294033 10966993370 13160392044 14257091381 15353790718 16450490055 17547189392 18643888729 19740588066 21933986740 23030686077 26320784088 28514182762 30707581436 32900980110 37287777458 38384476795 39481176132 42771274143 43867973480 46061372154 49351470165 52641568176 55931666187 57028365524 61415162872 65801960220 69092058231 71285456905 74575554916 76768953590 78962352264 85542548286 87735946960 92122744308 93219443645 98702940330 99799639667 111863332374 114056731048 115153430385 122830325744 123927025081 128313822429 130507221103 131603920440 138184116462 142570913810 149151109832 153537907180 157924704528 167794998561 171085096572 184245488616 186438887290 197405880660 199599279334 213856370715 223726664748 228113462096 230306860770 242370553477 247854050162 256627644858 261014442206 263207840880 276368232924 279658330935 285141827620 298302219664 299398919001 307075814360 335589997122 342170193144 345460291155 368490977232 371781075243 372877774580 391521663309 394811761320 399198558668 427712741430 447453329496 460613721540 484741106954 495708100324 498998198335 513255289716 522028884412 552736465848 559316661870 570283655240 598797838002 614151628720 619635125405 641569112145 652536105515 671179994244 684340386288 690920582310 727111660431 743562150486 745755549160 783043326618 789623522640 798397117336 838974992805 855425482860 867489175567 894906658992 898196757003 921227443080 969482213908 991416200648 997996396670 1026510579432 1044057768824 1105472931696 1115343225729 1118633323740 1140567310480 1174564989927 1197595676004 1211852767385 1239270250810 1283138224290 1305072211030 1342359988488 1381841164620 1454223320862 1487124300972 1491511098320 1496994595005 1566086653236 1596794234672 1611051326053 1677949985610 1696593874339 1710850965720 1734978351134 1796393514006 1842454886160 1858905376215 1938964427816 1957608316545 1982832401296 1995992793340 2053021158864 2088115537648 2106759426377 2181334981293 2230686451458 2237266647480 2349129979854 2395191352008 2423705534770 2478540501620 2566276448580 2602467526701 2610144422060 2684719976976 2763682329240 2908446641724 2974248601944 2993989190010 3132173306472 3222102652106 3355899971220 3393187748678 3421701931440 3469956702268 3592787028012 3635558302155 3717810752430 3877928855632 3915216633090 3991985586680 4213518852754 4337445877835 4362669962586 4461372902916 4474533294960 4490983785015 4698259959708 4790382704016 4833153978159 4847411069540 4957081003240 5089781623017 5132552897160 5204935053402 5220288844120 5527364658480 5576716128645 5816893283448 5872824949635 5948497203888 5987978380020 6264346612944 6320278279131 6444205304212 6711799942440 6786375497356 6939913404536 7185574056024 7271116604310 7435621504860 7807402580103 7830433266180 7983971173360 8055256630265 8427037705508 8482969371695 8674891755670 8725339925172 8922745805832 8981967570030 9396519919416 9666307956318 9694822139080 9914162006480 10179563246034 10265105794320 10409870106804 10440577688240 10533797131885 10906674906465 11153432257290 11277359282371 11633786566896 11745649899270 11975956760040 12640556558262 12888410608424 13012337633505 13423599884880 13572750994712 13879826809072 14371148112048 14499461934477 14542233208620 14747315984639 14871243009720 15269344869051 15614805160206 15660866532360 16110513260530 16854075411016 16965938743390 17349783511340 17450679850344 17845491611664 17963935140060 18793039838832 18960834837393 19332615912636 19389644278160 20359126492068 20819740213608 21067594263770 21813349812930 22306864514580 22554718564742 23491299798540 23951913520080 24165769890795 25281113116524 25448908115085 25776821216848 26024675267010 27145501989424 27387872542901 28998923868954 29084466417240 29494631969278 29742486019440 30538689738102 31229610320412 31321733064720 31601391395655 32221026521060 33708150822032 33832077847113 33931877486780 34699567022680 34901359700688 35927870280120 37921669674786 38665231825272 39037012900515 40718252984136 41639480427216 42135188527540 43626699625860 44241947953917 44613729029160 45109437129484 46982599597080 48331539781590 50562226233048 50897816230170 52049350534020 54775745085802 56386796411855 57997847737908 58168932834480 58989263938556 61077379476204 62459220640824 63202782791310 64442053042120 67664155694226 67863754973560 69399134045360 71855740560240 72497309672385 73736579923195 75843339349572 76346724345255 77330463650544 78074025801030 81436505968272 82163617628703 84270377055080 87253399251720 88483895907834 89227458058320 90218874258968 93965199194160 94804174186965 96663079563180 101124452466096 101496233541339 101795632460340 104098701068040 109551490171604 112773592823710 115995695475816 117978527877112 122154758952408 124918441281648 126405565582620 128884106084240 132725843861751 135328311388452 135727509947120 136939362714505 144994619344770 147473159846390 151686678699144 152693448690510 156148051602060 164327235257406 168540754110160 169160389235565 174506798503440 176967791815668 180437748517936 189608348373930 191715107800307 193326159126360 202992467082678 203591264920680 208197402136080 219102980343208 221209739769585 225547185647420 231991390951632 235957055754224 244309517904816 246490852886109 252811131165240 265451687723502 270656622776904 273878725429010 289989238689540 294946319692780 303373357398288 305386897381020 312296103204120 328654470514812 338320778471130 353935583631336 379216696747860 383430215600614 386652318252720 405984934165356 407182529841360 410818088143515 438205960686416 442419479539170 451094371294840 492981705772218 505622262330480 507481167706695 530903375447004 541313245553808 547757450858020 575145323400921 579978477379080 589892639385560 610773794762040 624592206408240 657308941029624 663629219308755 676641556942260 707871167262672 758433393495720 766860431201228 811969868330712 821636176287030 884838959078340 902188742589680 958575539001535 985963411544436 1014962335413390 1061806750894008 1095514901716040 1150290646801842 1159956954758160 1179785278771120 1221547589524080 1232454264430545 1314617882059248 1327258438617510 1353283113884520 1516866786991440 1533720862402456 1623939736661424 1643272352574060 1725435970202763 1769677918156680 1917151078003070 1971926823088872 2029924670826780 2123613501788016 2191029803432080 2300581293603684 2464908528861090 2654516877235020 2706566227769040 2875726617004605 3067441724804912 3286544705148120 3450871940405526 3539355836313360 3834302156006140 3943853646177744 4059849341653560 4601162587207368 4929817057722180 5309033754470040 5751453234009210 6573089410296240 6901743880811052 7668604312012280 8119698683307120 8627179851013815 9202325174414736 9859634115444360 10618067508940080 11502906468018420 13803487761622104 15337208624024560 17254359702027630 19719268230888720 23005812936036840 27606975523244208 34508719404055260 46011625872073680 69017438808110520 138034877616221040
- Sum of all divisors σ(n): 609451649691446016
- Sum of proper divisors (its aliquot sum) s(n): 471416772075224976
- 138034877616221040 is an abundant number, because the sum of its proper divisors (471416772075224976) is greater than itself. Its abundance is 333381894459003936
Bases of 138034877616221040
- Binary: 1111010100110010111111101011001101110110111101011011100002
- Hexadecimal: 0x1EA65FD66EDEB70
- Base-36: 11R5A3CXRSS0
Squares and roots of 138034877616221040
- 138034877616221040 squared (1380348776162210402) is 19053627438525120302152530138681600
- 138034877616221040 cubed (1380348776162210403) is 2630065131621886158258313031649253958852919780864000
-
The
square root of 138034877616221040 is 371530453.1478153811 -
The
cube root of 138034877616221040 is 516808.4566628159
Scales and comparisons
How big is 138034877616221040?- 138,034,877,616,221,040 seconds is equal to 4,389,082,138 years, 14 weeks, 5 days, 21 hours, 24 minutes.
-
To count from 1 to 138,034,877,616,221,040 would take you about thirteen billion, one hundred sixty-seven million, two hundred forty-six thousand, four hundred fourteen 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 138034877616221040 cubic inches would be around 43067.4 feet tall.
Recreational maths with 138034877616221040
- 138034877616221040 backwards is 040122616778430831
- 138034877616221040 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138034877616221040's digits is 63
- More coming soon!
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The information we have on file for 138034877616221040 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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