138120870896400
138,120,870,896,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138120870896400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
138120870896400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138120870896400:
24 × 3 × 52 × 73 × 29 × 312 × 12041
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 29 × 31 × 31 × 12041)See below for interesting mathematical facts about the number 138120870896400 from the Numbermatics database.
Names of 138120870896400
- Cardinal: 138120870896400 can be written as One hundred thirty-eight trillion, one hundred twenty billion, eight hundred seventy million, eight hundred ninety-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.381208708964 × 1014
Factors of 138120870896400
Divisors of 138120870896400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 31 35 40 42 48 49 50 56 58 60 62 70 75 80 84 87 93 98 100 105 112 116 120 124 140 145 147 150 155 168 174 175 186 196 200 203 210 217 232 240 245 248 280 290 294 300 310 336 343 348 350 372 392 400 406 420 434 435 464 465 490 496 525 560 580 588 600 609 620 651 686 696 700 725 735 744 775 784 812 840 868 870 899 930 961 980 1015 1029 1050 1085 1160 1176 1200 1218 1225 1240 1302 1372 1392 1400 1421 1450 1470 1488 1519 1550 1624 1680 1715 1736 1740 1798 1860 1922 1960 2030 2058 2100 2170 2175 2320 2325 2352 2436 2450 2480 2604 2697 2744 2800 2842 2883 2900 2940 3038 3045 3100 3248 3255 3430 3472 3480 3596 3675 3720 3844 3920 4060 4116 4200 4263 4340 4350 4495 4557 4650 4805 4872 4900 5075 5145 5208 5394 5425 5488 5684 5766 5800 5880 6076 6090 6200 6293 6510 6727 6860 6960 7105 7192 7350 7440 7595 7688 8120 8232 8400 8526 8575 8680 8700 8990 9114 9300 9610 9744 9800 9947 10150 10290 10416 10633 10788 10850 11368 11532 11600 11760 12041 12152 12180 12400 12586 13020 13454 13485 13720 14210 14384 14415 14700 15190 15225 15376 16240 16275 16464 17052 17150 17360 17400 17980 18228 18600 18879 19220 19600 19894 20181 20300 20580 21266 21315 21576 21700 22475 22736 22785 23064 24025 24082 24304 24360 25172 25725 26040 26908 26970 27440 27869 28420 28830 29400 29841 30380 30450 31465 31899 32550 33635 34104 34300 34800 35525 35960 36123 36456 37200 37758 37975 38440 39788 40362 40600 41160 42532 42630 43152 43400 44051 44950 45570 46128 47089 48050 48164 48720 49735 50344 51450 52080 53165 53816 53940 55738 56840 57660 58800 59682 60205 60760 60900 62930 63798 65100 67270 67425 68208 68600 71050 71920 72075 72246 72912 75516 75950 76880 79576 80724 81200 82320 83607 84287 85064 85260 86800 88102 89900 91140 94178 94395 96100 96328 99470 100688 100905 102900 106330 106575 107632 107880 111476 113680 113925 115320 119364 120410 121520 121800 125860 127596 130200 132153 134540 134850 137200 139345 141267 142100 144150 144492 149205 151032 151900 157325 159152 159495 161448 167214 168175 168574 170128 170520 176204 179800 180615 182280 188356 188790 192200 192656 195083 198940 201810 205800 212660 213150 215760 220255 222952 227850 230640 235445 238728 240820 243600 248675 251720 252861 255192 260400 264306 265825 269080 269700 278690 282534 284200 288300 288984 298410 301025 302064 303800 308357 314650 318990 322896 329623 334428 336350 337148 341040 349189 352408 359600 361230 364560 373271 376712 377580 384400 390166 397880 403620 411600 418035 421435 425320 426300 440510 445904 455700 470890 471975 477456 481640 497350 503440 504525 505722 510384 528612 531650 538160 539400 557380 565068 568400 576600 577968 585249 590009 596820 602050 607600 616714 629300 637980 659246 660765 668856 672700 674296 696725 698378 704816 706335 722460 746025 746542 753424 755160 780332 795760 797475 807240 836070 842870 850640 852600 881020 903075 911400 925071 941780 943950 963280 975415 988869 994700 1009050 1011444 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5237835 5273968 5286120 5462324 5573800 5587024 5599065 5650680 5852490 5900090 5968200 5972336 6167140 6321525 6379800 6592460 6607650 6688560 6742960 6827905 6983780 7063350 7080108 7224600 7332969 7400568 7465420 7551600 7708925 7803320 7838691 7910952 8072400 8193486 8240575 8260126 8360700 8380536 8428700 8729725 8810200 8850135 8958504 9250710 9331775 9363984 9417800 9440144 9559067 9754150 9777292 9888690 10114440 10451588 10475670 10572240 10824859 10924648 11147600 11198130 11301360 11571401 11704980 11800180 11936400 12221615 12334280 12390189 12643050 12759600 13064485 13184920 13215300 13655810 13967560 14126700 14160216 14449200 14631225 14665938 14750225 14801136 14930840 15417850 15606640 15677382 15821904 16386972 16481150 16520252 16721400 16761072 16857400 17110261 17459450 17620400 17700270 17917008 18290279 18501420 18663550 18835600 19118134 19508300 19554584 19777380 20228880 20483715 20650315 20903176 20951340 21649718 21849296 22396260 23126775 23142802 23409960 23600360 24443230 24668560 24721725 24780378 25286100 26128970 26189175 26369840 26430600 27311620 27935120 27995325 28253400 28320432 28677201 29262450 29331876 29500450 29861680 30835700 31354764 32474577 32773944 32962300 33040504 33442800 33714800 34139525 34220522 34714203 34918900 35400540 36580558 36664845 37002840 37327100 38236268 39016600 39109168 39193455 39554760 40967430 41300630 41806352 41902680 43299436 44250675 44792520 46253550 46285604 46819920 47200720 47795335 48886460 49443450 49560756 50572200 51330783 52257940 52378350 52861200 54124295 54623240 54870837 55990650 56506800 57354402 57857005 58524900 58663752 59000900 61108075 61671400 61950945 62709528 64949154 65322425 65547888 65924600 66081008 68279050 68441044 69428406 69837800 70801080 73161116 73329690 74005680 74654200 75774013 76472536 78033200 78386910 79109520 80999807 81934860 82601260 83805360 85551305 86598872 88501350 89585040 91451395 92507100 92571208 95590670 97772920 98886900 99121512 101144400 102418575 102661566 103251575 104515880 104756700 108248590 109246480 109741674 111981300 114708804 115714010 117049800 117327504 118001800 119771827 122216150 123342800 123901890 125419056 128031953 129898308 130644850 131849200 136558100 136882088 138856812 139675600 141602160 143386005 146322232 146659380 149308400 151548026 152945072 156773820 161999614 162372885 163869720 165202520 171102610 173197744 173571015 177002700 182902790 183324225 185014200 185142416 191181340 195545840 195967275 197773800 198243024 204837150 205323132 206503150 209031760 209513400 216497180 219483348 223962600 227322039 229417608 231428020 234099600 236003600 238976675 239543654 242999421 244432300 247803780 256063906 256653915 259796616 261289700 270621475 273116200 273764176 274354185 277713624 286772010 289285025 292644464 293318760 303096052 309754725 313547640 323999228 324745770 327739440 330405040 335570629 342205220 347142030 354005400 359315481 365805580 366648450 370028400 378870065 382362680 384095859 391934550 395547600 404999035 409674300 410646264 413006300 419026800 427756525 432994360 438966696 447925200 454644078 457256975 458835216 462856040 477953350 479087308 485998842 488864600 495607560 512127812 513307830 519593232 522579400 530418091 541242950 546232400 548708370 555427248 566998649 573544020 578570050 586637520 598859135 606192104 619509450 627095280 640159765 647998456 649491540 671141258 684410440 694284060 708010800 716930025 718630962 731611160 733296900 757740130 764725360 768191718 783869100 809998070 811864425 819348600 821292528 826012600 855513050 865988720 867855075 877933392 909288156 914513950 925712080 955906700 958174616 971997684 977729200 991215120 1006711887 1024255624 1026615660 1045158800 1060836182 1082485900 1097416740 1133997298 1136610195 1147088040 1157140100 1197718270 1212384208 1214997105 1239018900 1280319530 1283269575 1295996912 1298983080 1342282516 1368820880 1371770925 1388568120 1433860050 1437261924 1463222320 1466593800 1515480260 1536383436 1567738200 1591254273 1619996140 1623728850 1638697200 1652025200 1677853145 1700995947 1711026100 1735710150 1796577405 1818576312 1829027900 1894350325 1911813400 1916349232 1920479295 1943995368 2013423774 2024995175 2048511248 2053231320 2121672364 2164971800 2194833480 2267994596 2273220390 2294176080 2314280200 2348994403 2395436540 2429994210 2478037800 2560639060 2566539150 2597966160 2652090455 2684565032 2743541850 2777136240 2834993245 2867720100 2874523848 2933187600 2994295675 3030960520 3072766872 3135476400 3182508546 3200798825 3239992280 3247457700 3355706290 3401991894 3422052200 3471420300 3593154810 3637152624 3658055800 3712926637 3788700650 3823626800 3840958590 3887990736 3968990543 4026847548 4049990350 4106462640 4243344728 4329943600 4389666960 4535989192 4546440780 4628560400 4697988806 4790873080 4859988420 4956075600 5033559435 5121278120 5133078300 5304180910 5369130064 5487083700 5669986490 5683050975 5735440200 5749047696 5988591350 6061921040 6074985525 6145533744 6365017092 6401597650 6479984560 6494915400 6711412580 6803983788 6844104400 6942840600 7046983209 7186309620 7316111600 7425853274 7577401300 7681917180 7937981086 7956271365 8053695096 8099980700 8389265725 8486689456 8504979735 8982887025 9071978384 9092881560 9395977612 9581746160 9602396475 9719976840 10067118870 10242556240 10266156600 10608361820 10974167400 11138779911 11339972980 11366101950 11470880400 11744972015 11906971629 11977182700 12149971050 12730034184 12803195300 12989830800 13260452275 13422825160 13607967576 13885681200 14093966418 14174966225 14372619240 14851706548 15154802600 15363834360 15875962172 15912542730 16107390192 16199961400 16442960821 16778531450 17009959470 17965774050 18185763120 18564633185 18791955224 19204792950 19439953680 19844952715 20134237740 20532313200 21216723640 21948334800 22277559822 22679945960 22732203900 23489944030 23813943258 23954365400 24299942100 25167797175 25460068368 25606390600 26520904550 26845650320 27215935152 28187932836 28349932450 28745238480 29703413096 30309605200 30727668720 31751924344 31825085460 32399922800 32885921642 33557062900 34019918940 35234916045 35931548100 37129266370 37583910448 38409585900 39689905430 39781356825 40268475480 42433447280 42524898675 44555119644 45359891920 45464407800 46979888060 47627886516 47908730800 48599884200 49328882463 50335594350 51212781200 53041809100 55693899555 56375865672 56699864900 58724860075 59406826192 59534858145 63503848688 63650170920 65771843284 67114125800 68039837880 70469832090 71863096200 74258532740 76819171800 79379810860 79562713650 80536950960 82214804105 85049797350 89110239288 90928815600 92823165925 93959776120 95255773032 97199768400 98657764926 99224763575 100671188700 106083618200 111387799110 112751731344 113399729800 115100725747 117449720150 119069716290 127300341840 131543686568 134228251600 136079675760 140939664180 143726192400 148517065480 153638343600 158759621720 159125427300 164429608210 170099594700 176174580225 178220478576 185646331850 187919552240 190511546064 197315529852 198449527150 201342377400 212167236400 222775598220 226799459600 230201451494 234899440300 238139432580 246644412315 263087373136 278469497775 281879328360 297034130960 297674290725 317519243440 318250854600 328859216420 340199189400 345302177241 352349160450 371292663700 394631059704 396899054300 402684754800 411074020525 445551196440 460402902988 469798880600 476278865160 493288824630 556938995550 563758656720 575503628735 595348581450 636501709200 657718432840 680398378800 690604354482 704698320900 742585327400 789262119408 793798108600 822148041050 891102392880 920805805976 939597761200 952557730320 986577649260 1113877991100 1151007257470 1190697162900 1233222061575 1315436865680 1381208708964 1409396641800 1485170654800 1587596217200 1644296082100 1726510886205 1841611611952 1973155298520 2227755982200 2302014514940 2381394325800 2466444123150 2762417417928 2818793283600 2877518143675 3288592164200 3453021772410 3946310597040 4455511964400 4604029029880 4762788651600 4932888246300 5524834835856 5755036287350 6577184328400 6906043544820 8632554431025 9208058059760 9865776492600 11510072574700 13812087089640 17265108862050 19731552985200 23020145149400 27624174179280 34530217724100 46040290298800 69060435448200 138120870896400
- Sum of all divisors σ(n): 551585062368000
- Sum of proper divisors (its aliquot sum) s(n): 413464191471600
- 138120870896400 is an abundant number, because the sum of its proper divisors (413464191471600) is greater than itself. Its abundance is 275343320575200
Bases of 138120870896400
- Binary: 111110110011110110001010111001000100011000100002
- Hexadecimal: 0x7D9EC5722310
- Base-36: 1CYJUOCU1C
Squares and roots of 138120870896400
- 138120870896400 squared (1381208708964002) is 19077374977179996539532960000
- 138120870896400 cubed (1381208708964003) is 2634983646265290198181430726912545344000000
-
The
square root of 138120870896400 is 11752483.6054512325 -
The
cube root of 138120870896400 is 51691.5755217843
Scales and comparisons
How big is 138120870896400?- 138,120,870,896,400 seconds is equal to 4,391,816 years, 23 weeks, 5 days, 22 hours, 20 minutes.
-
To count from 1 to 138,120,870,896,400 would take you about ten million, nine hundred seventy-nine thousand, five hundred forty-one 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 138120870896400 cubic inches would be around 4307.6 feet tall.
Recreational maths with 138120870896400
- 138120870896400 backwards is 004698078021831
- The number of decimal digits it has is: 15
- The sum of 138120870896400's digits is 57
- More coming soon!
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The information we have on file for 138120870896400 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 138120870896400, math, Factors of 138120870896400, curriculum, school, college, exams, university, Prime factorization of 138120870896400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred twenty billion, eight hundred seventy million, eight hundred ninety-six thousand, four hundred.