138354745398400
138,354,745,398,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138354745398400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
138354745398400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138354745398400:
27 × 52 × 17 × 292 × 372 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 29 × 29 × 37 × 37 × 47 × 47)See below for interesting mathematical facts about the number 138354745398400 from the Numbermatics database.
Names of 138354745398400
- Cardinal: 138354745398400 can be written as One hundred thirty-eight trillion, three hundred fifty-four billion, seven hundred forty-five million, three hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.383547453984 × 1014
Factors of 138354745398400
Divisors of 138354745398400
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 29 32 34 37 40 47 50 58 64 68 74 80 85 94 100 116 128 136 145 148 160 170 185 188 200 232 235 272 290 296 320 340 370 376 400 425 464 470 493 544 580 592 629 640 680 725 740 752 799 800 841 850 925 928 940 986 1073 1088 1160 1175 1184 1258 1360 1363 1369 1450 1480 1504 1598 1600 1682 1700 1739 1850 1856 1880 1972 2146 2176 2209 2320 2350 2368 2465 2516 2720 2726 2738 2900 2960 3008 3145 3196 3200 3364 3400 3478 3700 3712 3760 3944 3995 4205 4292 4418 4640 4700 4736 4930 5032 5365 5440 5452 5476 5800 5920 6016 6290 6392 6728 6800 6815 6845 6956 7400 7520 7888 7990 8410 8584 8695 8836 9280 9400 9860 10064 10730 10880 10904 10952 11045 11600 11840 12325 12580 12784 13456 13600 13630 13690 13912 14297 14800 15040 15725 15776 15980 16820 17168 17390 17672 18241 18560 18800 19720 19975 20128 21025 21460 21808 21904 22090 23171 23200 23273 23680 24650 25160 25568 26825 26912 27200 27260 27380 27824 28594 29563 29600 30080 31117 31450 31552 31960 33640 34075 34225 34336 34780 35344 36482 37553 37600 39440 39527 39701 39950 40256 42050 42920 43475 43616 43808 44180 46342 46400 46546 49300 50320 50431 51136 53650 53824 54400 54520 54760 55225 55648 57188 59126 59200 62234 62900 63104 63920 64061 64343 67280 68150 68450 68672 69560 70688 71485 72964 75106 75200 78880 79054 79402 79900 80512 81733 84100 85840 86950 87232 87616 88360 91205 92684 92800 93092 98600 100640 100862 102272 107300 107648 109040 109520 110450 111296 114376 115855 116365 118252 118400 124468 125800 127840 128122 128686 134560 136300 136900 137344 139120 141376 142970 145928 147815 150212 150400 155585 157760 158108 158804 159800 163466 168200 171680 173900 174464 175232 176720 182410 185368 186184 187765 197200 197635 198505 201280 201724 214600 218080 219040 220900 222592 228752 231710 232730 236504 248936 251600 252155 255680 256244 257372 269120 272600 273800 278240 282752 285940 291856 295630 300424 311170 315520 316216 317608 319600 320305 321715 326932 336400 343360 347800 353440 357425 364820 370736 372368 375530 394400 395270 397010 402560 403448 408665 429200 436160 438080 441800 456025 457504 463420 465460 473008 497872 503200 504310 511360 512488 514744 528989 538240 545200 547600 556480 571880 579275 581825 583712 591260 600848 622340 632432 635216 639200 640610 643430 653864 671959 672800 674917 686720 695600 706880 714850 729640 739075 741472 744736 751060 777925 788800 790540 794020 806896 817330 857327 858400 872320 876160 883600 912050 915008 926840 930920 938825 946016 988175 992525 995744 1006400 1008620 1024976 1029488 1057978 1089037 1090400 1093831 1095200 1112960 1143760 1151329 1158550 1163650 1167424 1182520 1201696 1244680 1260775 1264864 1270432 1278400 1281220 1286860 1307728 1343918 1345600 1349834 1389461 1391200 1413760 1429700 1459280 1462499 1478150 1482944 1489472 1502120 1555850 1577600 1581080 1588040 1601525 1608575 1613792 1634660 1714654 1716800 1767200 1824100 1830016 1853680 1857769 1861840 1865947 1877650 1892032 1976350 1985050 1991488 2012800 2017240 2043325 2049952 2058976 2115956 2178074 2180800 2187662 2190400 2287520 2302658 2317100 2327300 2334848 2365040 2370257 2403392 2489360 2521550 2529728 2540864 2556800 2562440 2573720 2615456 2644945 2687836 2691200 2699668 2778922 2782400 2859400 2918560 2924998 2956300 2965888 2978944 3004240 3024121 3111700 3162160 3176080 3203050 3217150 3227584 3269320 3359795 3374585 3429308 3433600 3534400 3648200 3707360 3715538 3723680 3731894 3755300 3784064 3952700 3970100 3982976 4034480 4086650 4099904 4117952 4231912 4286635 4356148 4361600 4375324 4380800 4575040 4605316 4634200 4654600 4730080 4740514 4806784 4978720 5043100 5059456 5081728 5124880 5147440 5230912 5289890 5375672 5399336 5445185 5469155 5557844 5564800 5718800 5756645 5837120 5849996 5912600 6008480 6048242 6223400 6324320 6352160 6406100 6434300 6455168 6538640 6719590 6749170 6858616 6947305 7068800 7296400 7312495 7414720 7431076 7447360 7463788 7510600 7905400 7940200 8068960 8173300 8199808 8235904 8463824 8573270 8712296 8750648 9150080 9210632 9268400 9288845 9309200 9329735 9460160 9481028 9957440 10086200 10249760 10294880 10461824 10579780 10751344 10798672 10890370 10938310 11115688 11437600 11513290 11674240 11699992 11825200 11851285 12016960 12096484 12446800 12648640 12704320 12812200 12868600 13077280 13224725 13439180 13498340 13717232 13894610 14592800 14624990 14829440 14862152 14894720 14927576 15021200 15120605 15810800 15880400 16137920 16346600 16798975 16872925 16927648 17146540 17424592 17501296 18421264 18536800 18577690 18618400 18659470 18920320 18962056 19572593 19914880 20172400 20499520 20589760 21159560 21433175 21502688 21597344 21780740 21876620 22231376 22875200 23026580 23399984 23650400 23702570 24033920 24192968 24862483 24893600 25297280 25408640 25624400 25737200 26154560 26449450 26878360 26996680 27225925 27345775 27434464 27789220 28783225 29185600 29249980 29724304 29855152 30042400 30241210 31582073 31621600 31721099 31760800 32275840 32693200 33597950 33745850 33855296 34293080 34736525 34849184 35002592 36562475 36842528 37073600 37155380 37236800 37318940 37924112 39145186 40294369 40344800 40999040 41179520 42319120 42866350 43005376 43194688 43561480 43753240 44462752 45750400 46053160 46444225 46648675 46799968 47300800 47405140 48385936 49724966 49787200 51248800 51410057 51474400 52309120 52898900 53756720 53993360 54112463 54451850 54691550 54868928 55578440 57566450 58371200 58499960 59256425 59448608 59710304 60084800 60482420 63164146 63243200 63442198 63521600 65386400 67195900 67491700 67710592 68586160 68737453 69473050 69698368 70005184 73124950 73685056 74147200 74310760 74473600 74637880 75603025 75848224 78290372 80588738 80689600 84638240 85732700 86010752 86389376 87122960 87506480 87699509 88925504 92106320 92888450 93297350 93599936 94601600 94810280 96771872 97862965 99449932 99574400 102497600 102820114 102948800 105797800 107513440 107986720 108224926 108903700 109383100 109737856 111156880 115132900 116999920 118512850 118897216 119420608 120169600 120964840 124312415 126328292 126486400 126884396 127043200 130772800 134391800 134983400 137172320 137474906 138946100 139396736 140010368 146249900 147370112 148621520 149275760 151206050 151696448 156580744 157910365 158605495 161177476 161379200 169276480 171465400 174245920 175012960 175399018 177851008 184212640 185776900 186594700 187199872 189620560 193543744 195725930 198899864 201471845 204995200 205640228 205897600 211595600 215026880 215973440 216449852 217807400 218766200 222313760 230265800 233999840 237025700 237794432 238841216 241929680 248624830 252656584 253768792 257050285 261545600 268783600 269966800 270562315 274344640 274949812 277892200 292499800 297243040 298551520 302412100 303392896 313161488 315820730 317210990 322354952 338552960 342930800 343687265 348491840 350025920 350798036 368425280 371553800 373189400 379241120 387087488 391451860 397799728 402943690 411280456 423191200 430053760 431946880 432899704 435614800 437532400 438497545 444627520 460531600 467999680 474051400 483859360 489314825 497249660 505313168 507537584 514100570 537567200 539933600 541124630 548689280 549899624 555784400 584999600 594486080 597103040 604824200 621562075 626322976 631641460 634421980 644709904 685861600 687374530 696983680 700051840 701596072 736850560 743107600 746378800 758482240 782903720 789551825 793027475 795599456 805887380 822560912 846382400 865799408 871229600 875064800 876995090 889255040 919911871 921063200 935999360 948102800 967718720 978629650 994499320 1007359225 1010626336 1015075168 1028201140 1075134400 1079867200 1082249260 1099799248 1111568800 1168536701 1169999200 1188972160 1194206080 1209648400 1243124150 1252645952 1263282920 1268843960 1285251425 1289419808 1352811575 1371723200 1374749060 1403192144 1486215200 1490891653 1492757600 1516964480 1565807440 1579103650 1586054950 1591198912 1611774760 1645121824 1692764800 1718436325 1731598816 1742459200 1750129600 1753990180 1839823742 1842126400 1896205600 1935437440 1957259300 1988998640 2014718450 2021252672 2030150336 2056402280 2150268800 2159734400 2164498520 2192487725 2199598496 2223137600 2337073402 2339998400 2419296800 2486248300 2505291904 2526565840 2537687920 2543285761 2570502850 2578839616 2705623150 2743446400 2749498120 2806384288 2972430400 2981783306 2985515200 3131614880 3158207300 3172109900 3182397824 3223549520 3290243648 3436872650 3463197632 3484918400 3500259200 3507980360 3679647484 3684252800 3792411200 3914518600 3977997280 4029436900 4042505344 4060300672 4112804560 4328997040 4384975450 4399196992 4446275200 4599559355 4674146804 4679996800 4838593600 4972496600 5053131680 5075375840 5086571522 5141005700 5157679232 5411246300 5498996240 5612768576 5842683505 5944860800 5963566612 5971030400 6263229760 6316414600 6344219800 6447099040 6580487296 6873745300 6926395264 7015960720 7359294968 7454458265 7584822400 7829037200 7955994560 8058873800 8225609120 8657994080 8769950900 8798393984 9199118710 9348293608 9677187200 9944993200 10106263360 10150751680 10173143044 10282011400 10822492600 10997992480 11225537152 11685367010 11927133224 12526459520 12632829200 12688439600 12716428805 12894198080 13747490600 14031921440 14718589936 14908916530 15658074400 15911989120 16117747600 16451218240 17315988160 17539901800 18398237420 18696587216 19889986400 20212526720 20301503360 20346286088 20564022800 21644985200 21995984960 22997796775 23370734020 23854266448 25265658400 25376879200 25432857610 25788396160 27494981200 28063842880 29213417525 29437179872 29817833060 31316148800 32235495200 32902436480 34631976320 35079803600 36796474840 37272291325 37393174432 39779972800 40692572176 41128045600 43235857937 43289970400 43991969920 45995593550 46741468040 47708532896 50531316800 50753758400 50865715220 54989962400 56127685760 58426835050 58874359744 59635666120 62632297600 63582144025 64470990400 70159607200 73592949680 74544582650 74786348864 79559945600 81385144352 82256091200 86471715874 86579940800 91991187100 93482936080 95417065792 101062633600 101507516800 101731430440 109979924800 116853670100 117748719488 119271332240 127164288050 128941980800 140319214400 147185899360 149089165300 149572697728 162770288704 164512182400 172943431748 173159881600 183982374200 186965872160 190834131584 203462860880 216179289685 219959849600 233707340200 238542664480 254328576100 280638428800 294371798720 298178330600 325540577408 345886863496 367964748400 373931744320 406925721760 432358579370 467414680400 477085328960 508657152200 588743597440 596356661200 691773726992 735929496800 747863488640 813851443520 864717158740 934829360800 954170657920 1017314304400 1080896448425 1192713322400 1383547453984 1471858993600 1627702887040 1729434317480 1869658721600 2034628608800 2161792896850 2385426644800 2767094907968 2943717987200 3458868634960 3739317443200 4069257217600 4323585793700 4770853289600 5534189815936 6917737269920 8138514435200 8647171587400 13835474539840 17294343174800 27670949079680 34588686349600 69177372699200 138354745398400
- Sum of all divisors σ(n): 393566560069410
- Sum of proper divisors (its aliquot sum) s(n): 255211814671010
- 138354745398400 is an abundant number, because the sum of its proper divisors (255211814671010) is greater than itself. Its abundance is 116857069272610
Bases of 138354745398400
- Binary: 111110111010101001110010111001111010100100000002
- Hexadecimal: 0x7DD53973D480
- Base-36: 1D1JAJ72PS
Squares and roots of 138354745398400
- 138354745398400 squared (1383547453984002) is 19142035574256085974722560000
- 138354745398400 cubed (1383547453984003) is 2648391458283316312514440886876667904000000
-
The
square root of 138354745398400 is 11762429.4003577339 -
The
cube root of 138354745398400 is 51720.7348234671
Scales and comparisons
How big is 138354745398400?- 138,354,745,398,400 seconds is equal to 4,399,252 years, 49 weeks, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,354,745,398,400 would take you about ten million, nine hundred ninety-eight thousand, one hundred thirty-two 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 138354745398400 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138354745398400
- 138354745398400 backwards is 004893547453831
- 138354745398400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138354745398400's digits is 64
- More coming soon!
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"Number 138354745398400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138354745398400 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138354745398400/
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The information we have on file for 138354745398400 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 138354745398400, math, Factors of 138354745398400, curriculum, school, college, exams, university, Prime factorization of 138354745398400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred fifty-four billion, seven hundred forty-five million, three hundred ninety-eight thousand, four hundred.