138035078110800
138,035,078,110,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138035078110800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1350 divisors.
138035078110800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred fifty divisors.
Prime factorization of 138035078110800:
24 × 34 × 52 × 13 × 432 × 4212
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 43 × 43 × 421 × 421)See below for interesting mathematical facts about the number 138035078110800 from the Numbermatics database.
Names of 138035078110800
- Cardinal: 138035078110800 can be written as One hundred thirty-eight trillion, thirty-five billion, seventy-eight million, one hundred ten thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380350781108 × 1014
Factors of 138035078110800
Divisors of 138035078110800
- Number of divisors d(n): 1350
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 36 39 40 43 45 48 50 52 54 60 65 72 75 78 80 81 86 90 100 104 108 117 120 129 130 135 144 150 156 162 172 180 195 200 208 215 216 225 234 240 258 260 270 300 312 324 325 344 351 360 387 390 400 405 421 430 432 450 468 516 520 540 559 585 600 624 645 648 650 675 688 702 720 774 780 810 842 860 900 936 975 1032 1040 1053 1075 1080 1118 1161 1170 1200 1263 1290 1296 1300 1350 1404 1548 1560 1620 1677 1684 1720 1755 1800 1849 1872 1935 1950 2025 2064 2105 2106 2150 2160 2236 2322 2340 2526 2580 2600 2700 2795 2808 2925 3096 3120 3225 3240 3354 3368 3440 3483 3510 3600 3698 3789 3870 3900 4050 4210 4212 4300 4472 4644 4680 5031 5052 5160 5200 5265 5400 5473 5547 5590 5616 5805 5850 6192 6315 6450 6480 6708 6736 6966 7020 7396 7578 7740 7800 8100 8385 8420 8424 8600 8775 8944 9245 9288 9360 9675 10062 10104 10320 10525 10530 10800 10946 11094 11180 11367 11610 11700 12630 12900 13416 13932 13975 14040 14792 15093 15156 15480 15600 16200 16419 16641 16770 16840 16848 17200 17415 17550 18103 18490 18576 18945 19350 20124 20208 21050 21060 21892 22188 22360 22734 23220 23400 24037 25155 25260 25800 26325 26832 27365 27735 27864 27950 28080 29025 29584 30186 30312 30960 31575 32400 32838 33282 33540 33680 34101 34830 35100 36206 36980 37890 38700 40248 41925 42100 42120 43784 44376 44720 45279 45468 46225 46440 46800 48074 49257 49923 50310 50520 51600 52650 54309 54730 55470 55728 55900 56835 58050 60372 60624 63150 65676 66564 67080 68202 69660 70200 72111 72412 73960 75465 75780 77400 80496 82095 83205 83850 84200 84240 87075 87568 88752 90515 90558 90936 92450 92880 94725 96148 98514 99846 100620 101040 105300 108618 109460 110940 111800 113670 116100 120185 120744 125775 126300 131352 133128 134160 136404 136825 138675 139320 140400 144222 144824 147771 147920 149769 150930 151560 154800 162927 164190 166410 167700 168400 170505 174150 177241 181030 181116 181872 184900 189450 192296 197028 199692 201240 210600 216333 217236 218920 221880 223600 226395 227340 232200 235339 240370 241488 246285 249615 251550 252600 262704 266256 271545 272808 273650 277350 278640 284175 288444 289648 295542 299538 301860 303120 325854 328380 332820 335400 341010 348300 354482 360555 362060 362232 369800 377325 378900 384592 394056 399384 402480 410475 416025 421200 432666 434472 437840 443313 443760 452575 452790 454680 464400 470678 480740 488781 492570 499230 503100 505200 531723 543090 545616 547300 554700 568350 576888 591084 599076 600925 603720 648999 651708 656760 665640 670800 682020 696600 706017 708964 721110 724120 724464 738855 739600 748845 754650 757800 778429 788112 798768 814635 820950 832050 852525 865332 868944 886205 886626 905150 905580 909360 941356 961480 977562 985140 998460 1006200 1063446 1081665 1086180 1094600 1109400 1131975 1136700 1153776 1176695 1182168 1198152 1201850 1207440 1231425 1248075 1297998 1303416 1313520 1331280 1357725 1364040 1393200 1412034 1417928 1442220 1448240 1466343 1477710 1497690 1509300 1515600 1556858 1595169 1629270 1641900 1664100 1705050 1730664 1772410 1773252 1802775 1810300 1811160 1882712 1922960 1946997 1955124 1970280 1996920 2012400 2118051 2126892 2163330 2172360 2189200 2216565 2218800 2263950 2273400 2304133 2335287 2353390 2364336 2396304 2403700 2443905 2462850 2496150 2595996 2606832 2658615 2715450 2728080 2824068 2835856 2884440 2932686 2955420 2995380 3018600 3113716 3190338 3244995 3258540 3283800 3328200 3410100 3461328 3530085 3544820 3546504 3605550 3620600 3622320 3694275 3744225 3765424 3892145 3893994 3910248 3940560 3993840 4073175 4236102 4253784 4326660 4344720 4431025 4433130 4527900 4546800 4608266 4670574 4706780 4785507 4807400 4887810 4925700 4992300 5191992 5317230 5408325 5430900 5648136 5768880 5865372 5883475 5910840 5990760 6037200 6227432 6354153 6380676 6489990 6517080 6567600 6656400 6820200 6912399 7005861 7060170 7089640 7093008 7211100 7241200 7331715 7388550 7488450 7621363 7784290 7787988 7820496 7975845 8146350 8472204 8507568 8653320 8862050 8866260 9055800 9216532 9341148 9413560 9571014 9614800 9734985 9775620 9851400 9984600 10119577 10383984 10590255 10634460 10816650 10861800 11082825 11296272 11520665 11676435 11730744 11766950 11821680 11981520 12219525 12454864 12708306 12761352 12979980 13034160 13293075 13640400 13824798 14011722 14120340 14179280 14356521 14422200 14663430 14777100 14976900 15242726 15568580 15575976 15951690 16224975 16292700 16944408 17306640 17650425 17724100 17732520 18111600 18433064 18682296 18827120 19062459 19142028 19460725 19469970 19551240 19702800 19969200 20239154 20737197 21017583 21180510 21268920 21633300 21723600 22165650 22864089 23041330 23352870 23461488 23533900 23927535 24439050 25416612 25522704 25959960 26586150 27649596 28023444 28240680 28713042 28844400 29326860 29554200 29953800 30358731 30485452 31137160 31151952 31770765 31903380 32449950 32585400 33888816 34561995 35029305 35300850 35448200 35465040 36658575 36866128 37364592 38106815 38124918 38284056 38921450 38939940 39102480 39879225 40478308 41474394 42035166 42361020 42537840 43266600 44331300 45728178 46082660 46705740 47067800 47855070 48674925 48878100 50597885 50833224 51919920 52951275 53172300 55299192 56046888 56481360 57426084 57603325 58382175 58653720 59108400 59907600 60717462 60970904 62211591 62274320 63052749 63541530 63806760 64899900 65170800 68592267 69123990 70058610 70601700 70896400 71782605 73317150 76213630 76249836 76568112 77842900 77879880 79758450 80956616 82948788 84070332 84722040 86533200 88662600 91076193 91456356 92165320 93411480 94135600 95312295 95710140 97349850 97756200 99077719 101195770 101666448 103685985 105087915 105902550 106344600 110598384 112093776 114320445 114852168 115206650 116764350 117307440 119637675 121434924 121941808 124423182 126105498 127083060 127613520 129799800 137184534 138247980 140117220 141203400 143565210 146634300 151793655 152427260 152499672 155685800 155759760 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635415300 638067600 655437218 685922670 691239900 700586100 717826050 728609544 746539092 758968275 762136300 762498360 778798800 792621752 809566160 819685737 823107204 829487880 840703320 847220400 891699471 910761930 914563560 921653200 933173865 934114800 953122950 957101400 983155827 990777190 995385456 1008843984 1011957700 1028884005 1036859850 1050879150 1092914316 1097476272 1143204450 1148521680 1188932628 1214349240 1234660806 1244231820 1261054980 1270830600 1310874436 1366142895 1371845340 1382479800 1401172200 1435652100 1457219088 1486165785 1493078184 1517936550 1524272600 1524996720 1555289775 1576318725 1585243504 1638593045 1639371474 1646214408 1658975760 1681406640 1714806675 1783398942 1821523860 1829127120 1866347730 1906245900 1914202800 1966311654 1981554380 2023915400 2057768010 2073719700 2101758300 2185828632 2276904825 2286408900 2377865256 2428698480 2469321612 2476942975 2488463640 2522109960 2541661200 2621748872 2675098413 2732285790 2743690680 2764959600 2802344400 2871304200 2949467481 2972331570 2986156368 3035873100 3048545200 3086652015 3110579550 3152637450 3277186090 3278742948 3292428816 3429613350 3566797884 3643047720 3732695460 3812491800 3932623308 3963108760 4047830800 4098428685 4115536020 4147439400 4203516600 4260341917 4371657264 4458497355 4553809650 4572817800 4665869325 4755730512 4915779135 4938643224 4953885950 4976927280 5044219920 5144420025 5243497744 5350196826 5464571580 5487381360 5742608400 5898934962 5944663140 6071746200 6173304030 6221159100 6305274900 6554372180 6557485896 6830714475 6859226700 7133595768 7286095440 7430828925 7465390920 7624983600 7865246616 7926217520 8025295239 8192965225 8196857370 8231072040 8294878800 8407033200 8520683834 8848402443 8916994710 9107619300 9145635600 9331738650 9831558270 9877286448 9907771900 10288840050 10700393652 10929143160 11797869924 11889326280 12143492400 12346608060 12442318200 12610549800 12781025751 13108744360 13114971792 13375492065 13661428950 13718453400 14267191536 14747337405 14861657850 14930781840 15433260075 15730493232 16050590478 16385930450 16393714740 16462144080 17041367668 17696804886 17833989420 18215238600 18663477300 19663116540 19815543800 20492143425 20577680100 21301709585 21400787304 21858286320 22292486775 23595739848 23778652560 24578895675 24693216120 24884636400 25221099600 25562051502 26217488720 26545207329 26750984130 27322857900 27436906800 29494674810 29723315700 30866520150 32101180956 32771860900 32787429480 34082735336 35393609772 35667978840 36430477200 37326954600 38343077253 39326233080 39631087600 40126476195 40984286850 41155360200 42603419170 42801574608 44242012215 44584973550 47191479696 49157791350 49386432240 51124103004 53090414658 53501968260 54645715800 58989349620 59446631400 61733040300 63905128755 64202361912 65543721800 65574858960 66877460325 68165470672 70787219544 71335957680 73736687025 74653909200 76686154506 78652466160 80252952390 81968573700 82310720400 85206838340 88484024430 89169947100 98315582700 102248206008 106180829316 106508547925 107003936520 109291431600 115029231759 117978699240 118893262800 123466080600 127810257510 128404723824 131087443600 132726036645 133754920650 141574439088 147473374050 153372309012 160505904780 163937147400 170413676680 176968048860 178339894200 191715386265 196631165400 200632380975 204496412016 212361658632 213017095850 214007873040 221210061075 230058463518 235957398480 246932161200 255620515020 265452073290 267509841300 294946748100 306744618024 319525643775 321011809560 327874294800 340827353360 345087695277 353936097720 356679788400 383430772530 393262330800 401264761950 424723317264 426034191700 442420122150 460116927036 511241030040 530904146580 535019682600 575146158795 589893496200 613489236048 639051287550 642023619120 663630183225 690175390554 707872195440 766861545060 802529523900 852068383400 884840244300 920233854072 958576931325 1022482060080 1061808293160 1070039365200 1150292317590 1179786992400 1278102575100 1327260366450 1380350781108 1533723090120 1605059047800 1704136766800 1725438476385 1769680488600 1840467708144 1917153862650 2123616586320 2300584635180 2556205150200 2654520732900 2760701562216 2875730793975 3067446180240 3210118095600 3450876952770 3539360977200 3834307725300 4601169270360 5112410300400 5309041465800 5521403124432 5751461587950 6901753905540 7668615450600 8627192381925 9202338540720 10618082931600 11502923175900 13803507811080 15337230901200 17254384763850 23005846351800 27607015622160 34508769527700 46011692703600 69017539055400 138035078110800
- Sum of all divisors σ(n): 547500347192106
- Sum of proper divisors (its aliquot sum) s(n): 409465269081306
- 138035078110800 is an abundant number, because the sum of its proper divisors (409465269081306) is greater than itself. Its abundance is 271430190970506
Bases of 138035078110800
- Binary: 111110110001010110010111100110000011110010100002
- Hexadecimal: 0x7D8ACBCC1E50
- Base-36: 1CXGFTJP00
Squares and roots of 138035078110800
- 138035078110800 squared (1380350781108002) is 19053682789054657297076640000
- 138035078110800 cubed (1380350781108003) is 2630076592085565219292499202894011712000000
-
The
square root of 138035078110800 is 11748833.0531504277 -
The
cube root of 138035078110800 is 51680.8706882773
Scales and comparisons
How big is 138035078110800?- 138,035,078,110,800 seconds is equal to 4,389,088 years, 26 weeks, 4 days, 21 hours.
-
To count from 1 to 138,035,078,110,800 would take you about ten million, nine hundred seventy-two thousand, seven hundred twenty-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 138035078110800 cubic inches would be around 4306.7 feet tall.
Recreational maths with 138035078110800
- 138035078110800 backwards is 008011870530831
- 138035078110800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138035078110800's digits is 45
- More coming soon!
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"Number 138035078110800 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 138035078110800 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/138035078110800/
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The information we have on file for 138035078110800 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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