138378424387896
138,378,424,387,896 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138378424387896 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
138378424387896 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138378424387896:
23 × 32 × 72 × 11 × 19 × 41 × 167 × 27409
(2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 19 × 41 × 167 × 27409)See below for interesting mathematical facts about the number 138378424387896 from the Numbermatics database.
Names of 138378424387896
- Cardinal: 138378424387896 can be written as One hundred thirty-eight trillion, three hundred seventy-eight billion, four hundred twenty-four million, three hundred eighty-seven thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 1.38378424387896 × 1014
Factors of 138378424387896
Divisors of 138378424387896
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 18 19 21 22 24 28 33 36 38 41 42 44 49 56 57 63 66 72 76 77 82 84 88 98 99 114 123 126 132 133 147 152 154 164 167 168 171 196 198 209 228 231 246 252 264 266 287 294 308 328 334 342 369 392 396 399 418 441 451 456 462 492 501 504 532 539 574 588 616 627 668 684 693 738 779 792 798 836 861 882 902 924 931 984 1002 1064 1078 1148 1169 1176 1197 1254 1336 1353 1368 1386 1463 1476 1503 1558 1596 1617 1672 1722 1764 1804 1837 1848 1862 1881 2004 2009 2156 2296 2337 2338 2394 2508 2583 2706 2772 2793 2926 2952 3006 3116 3157 3173 3192 3234 3444 3507 3528 3608 3674 3724 3762 4008 4018 4059 4312 4389 4674 4676 4788 4851 5016 5166 5412 5453 5511 5544 5586 5852 6012 6027 6232 6314 6346 6468 6847 6888 7011 7014 7348 7448 7524 8036 8118 8183 8379 8569 8778 9348 9352 9471 9519 9576 9702 10241 10332 10521 10824 10906 11022 11172 11704 12024 12054 12628 12692 12859 12936 13167 13694 14022 14028 14696 15048 16072 16236 16359 16366 16533 16758 17138 17556 18081 18696 18942 19038 19404 20482 20541 20664 21042 21812 22044 22099 22211 22344 24108 24549 25256 25384 25707 25718 26334 27388 27409 28044 28056 28413 28557 30723 32472 32718 32732 33066 33516 34276 34903 35112 36162 37884 38076 38171 38577 38808 40964 41082 42084 43624 44088 44198 44422 47929 48216 49077 49098 51414 51436 52668 54776 54818 56088 56826 57114 59983 61446 61623 65436 65464 66132 66297 66633 67032 68552 69806 72324 73647 75317 75768 76152 76342 77121 77154 81928 82164 82227 84168 88396 88844 90013 92169 95858 98154 98196 102828 102872 104709 105336 109636 113652 114228 114513 115731 119966 122892 123246 130093 130872 132264 132594 133266 139612 143787 144648 147294 150634 152684 154242 154308 155477 164328 164454 176792 177688 179949 180026 184338 191716 191863 196308 196392 198891 199899 205656 209418 219272 225951 227304 228456 229026 231462 239932 244321 245784 246492 246681 260186 265188 266532 270039 279224 287574 294588 301268 301499 305368 308484 308616 310954 314127 328908 335503 343539 359898 360052 368676 383432 383726 390279 392616 397782 399798 418836 419881 431361 451902 458052 462924 466431 479864 488642 492984 493362 520372 520771 527219 530376 533064 539847 540078 575148 575589 589176 602536 602998 616968 621908 628254 657816 671006 677853 687078 719796 720104 732963 737352 767452 780558 795564 799596 810117 837672 839762 862722 903804 904497 910651 916104 925848 932862 977284 986724 1006509 1040744 1041542 1054438 1079694 1080156 1123769 1150296 1151178 1170837 1205996 1243816 1256508 1259643 1342012 1343041 1355706 1374156 1399293 1431023 1439592 1465926 1534904 1561116 1562313 1581657 1591128 1599192 1620234 1679524 1710247 1725444 1726767 1807608 1808994 1821302 1865724 1954568 1973448 2013018 2083084 2108876 2110493 2159388 2160312 2198889 2247538 2302356 2341674 2411992 2513016 2519286 2684024 2686082 2711412 2713491 2731953 2748312 2798586 2862046 2931852 3019527 3122232 3124626 3163314 3240468 3359048 3371307 3420494 3450888 3453534 3617988 3642604 3645397 3690533 3731448 3778929 4026036 4029123 4166168 4217752 4220986 4293069 4318776 4397778 4495076 4577303 4604712 4683348 4686939 4744971 5038572 5130741 5372164 5422824 5426982 5463906 5597172 5724092 5728481 5863704 6039054 6249252 6326628 6331479 6374557 6480936 6742614 6840988 6907068 7235976 7285208 7290794 7381066 7557858 7866383 8052072 8058246 8195859 8441972 8586138 8795556 8990152 9154606 9366696 9373878 9489942 10017161 10077144 10113921 10261482 10744328 10853964 10927812 10936191 11071599 11194344 11448184 11456962 12078108 12087369 12361459 12498504 12653256 12662958 12749114 12879207 13485228 13681976 13731909 13814136 14581588 14762132 14773451 15115716 15392223 15732766 16116492 16391718 16883944 17172276 17185443 17591112 18309212 18747756 18979884 18994437 19123671 20034322 20227842 20522964 21351611 21707928 21855624 21872382 22143198 22913924 23599149 24156216 24174738 24722918 25325916 25498228 25517779 25758414 26970456 27463818 29163176 29524264 29546902 30051483 30231432 30784446 31465532 32041121 32232984 32783436 32808573 33214797 34344552 34370886 36618424 37084377 37495512 37959768 37988874 38247342 40068644 40099367 40455684 41045928 41195727 42703222 43744764 44286396 44320353 45827848 47198298 48349476 49445836 50350333 50651832 50996456 51035558 51516828 51556329 54927636 55064681 57371013 59093804 60102966 61568892 62931064 64054833 64082242 65566872 65617146 66429594 68741772 70120127 70797447 74168754 75977748 76494684 76553337 80137288 80198734 80911368 82391454 85406444 86530213 86968757 87489528 88572792 88640706 90154449 94396596 96123363 96698952 98891672 100700666 102071116 103033656 103112658 109855272 110129362 111253131 114742026 118187608 120205932 120298101 123137784 128109666 128164484 131234292 132859188 132961059 137483544 140240254 141594894 148337508 149461277 151050999 151955496 152989368 153106674 160397468 164782908 165194043 170812888 173060426 173937514 177281412 180308898 187669423 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1122782276 1126016538 1153480356 1195690216 1208407992 1211422982 1217562598 1262162286 1313685961 1321552344 1345151493 1345727082 1409206326 1409809324 1443577212 1501355384 1537315992 1557543834 1565437626 1644074047 1682883048 1684173414 1689024807 1793535324 1794302776 1812611988 1817134473 1826343897 1837280088 1878941768 1913312654 1982328516 2018590623 2064363653 2076725112 2087250168 2092457878 2113809489 2114713986 2245564552 2252033076 2306960712 2422845964 2435125196 2467166317 2524324572 2526260121 2627371922 2690302986 2691454164 2818412652 2819618648 2869968981 2887154424 3115087668 3130875252 3138686817 3172070979 3288148094 3368346828 3378049614 3565719037 3587070648 3625223976 3634268946 3652687794 3826625308 3941057883 3964657032 4037181246 4128727306 4184915756 4227618978 4229427972 4261469093 4504066152 4845691928 4870250392 4932222141 4934332634 5048649144 5052520242 5254743844 5380605972 5382908328 5451403419 5479031691 5636825304 5739937962 6193090959 6230175336 6261750504 6277373634 6344141958 6576296188 6696594289 6736693656 6756099228 7131438074 7268537892 7305375588 7401498951 7653250616 7882115766 8074362492 8257454612 8369831512 8455237956 8458855944 8522938186 8609906943 9195801727 9416060451 9864444282 9868665268 10105040484 10509487688 10697157111 10761211944 10902806838 10958063382 11479875924 11508518329 11823173649 12386181918 12554747268 12688283916 12784407279 13152592376 13393188578 13512198456 14262876148 14450545571 14537075784 14610751176 14796666423 14802997902 15764231532 16148724984 16514909224 16910475912 17045876372 17219813886 18391603454 18579272877 18832120902 19728888564 19737330536 20089782867 20210080968 21394314222 21805613676 21916126764 22204496853 22959751848 23017036658 23646347298 24772363836 24960033259 25109494536 25376567832 25568814558 26786377156 27587405181 28525752296 28901091142 29593332846 29605995804 31528463064 32091471333 34091752744 34439627772 34525554987 36783206908 37158545754 37664241804 38353221837 39222909407 39457777128 40179565734 42788628444 43351636713 43611227352 43832253528 44408993706 46034073316 46876160023 47292694596 49544727672 49920066518 51137629116 53572754312 55174810362 57802182284 59186665692 59211991608 60269348601 64182942666 68879255544 69051109974 73566413816 74317091508 74880099777 75328483608 76706443674 78445818814 80359131468 82762215543 85577256888 86703273426 88817987412 92068146632 93752320046 94585389192 99840133036 101153818997 102275258232 103576664961 110349620724 115604364568 117668728221 118373331384 120538697202 128365885332 130054910139 138102219948 140628480069 148634183016 149760199554 153412887348 156891637628 160718262936 165524431086 173406546852 174720232813 177635974824 187504640092 199680266072 202307637994 207153329922 220699241448 224640299331 235337456442 241077394404 256731770664 260109820278 274560365849 276204439896 281256960138 299520399108 303461456991 306825774696 313783275256 331048862172 346813093704 349440465626 353006184663 375009280184 404615275988 414306659844 421885440207 449280598662 470674912884 482154788808 520219640556 524160698439 549120731698 562513920276 599040798216 606922913982 662097724344 698880931252 706012369326 809230551976 823681097547 828613319688 843770880414 898561197324 910384370973 941349825768 1040439281112 1048321396878 1098241463396 1125027840552 1213845827964 1397761862504 1412024738652 1572482095317 1647362195094 1687541760828 1797122394648 1820768741946 1921922560943 2096642793756 2196482926792 2427691655928 2471043292641 2824049477304 3144964190634 3294724390188 3375083521656 3641537483892 3843845121886 4193285587512 4942086585282 5765767682829 6289928381268 6589448780376 7283074967784 7687690243772 9884173170564 11531535365658 12579856762536 15375380487544 17297303048487 19768346341128 23063070731316 34594606096974 46126141462632 69189212193948 138378424387896
- Sum of all divisors σ(n): 515927071296000
- Sum of proper divisors (its aliquot sum) s(n): 377548646908104
- 138378424387896 is an abundant number, because the sum of its proper divisors (377548646908104) is greater than itself. Its abundance is 239170222520208
Bases of 138378424387896
- Binary: 111110111011010101111001101010010001001001110002
- Hexadecimal: 0x7DDABCD48938
- Base-36: 1D1U651ZY0
Squares and roots of 138378424387896
- 138378424387896 squared (1383784243878962) is 19148588336076650462271306816
- 138378424387896 cubed (1383784243878963) is 2649751483198730055378763305331728812699136
-
The
square root of 138378424387896 is 11763435.9091166897 -
The
cube root of 138378424387896 is 51723.6852700943
Scales and comparisons
How big is 138378424387896?- 138,378,424,387,896 seconds is equal to 4,400,005 years, 44 weeks, 6 days, 2 hours, 51 minutes, 36 seconds.
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To count from 1 to 138,378,424,387,896 would take you about eleven million and 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 138378424387896 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138378424387896
- 138378424387896 backwards is 698783424873831
- The number of decimal digits it has is: 15
- The sum of 138378424387896's digits is 81
- More coming soon!
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The information we have on file for 138378424387896 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 138378424387896, math, Factors of 138378424387896, curriculum, school, college, exams, university, Prime factorization of 138378424387896, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred seventy-eight billion, four hundred twenty-four million, three hundred eighty-seven thousand, eight hundred ninety-six.