138242186035200
138,242,186,035,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 138242186035200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1620 divisors.
138242186035200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138242186035200:
214 × 32 × 52 × 135 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 13 × 13 × 101)See below for interesting mathematical facts about the number 138242186035200 from the Numbermatics database.
Names of 138242186035200
- Cardinal: 138242186035200 can be written as One hundred thirty-eight trillion, two hundred forty-two billion, one hundred eighty-six million, thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.382421860352 × 1014
Factors of 138242186035200
Divisors of 138242186035200
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 101 104 117 120 128 130 144 150 156 160 169 180 192 195 200 202 208 225 234 240 256 260 288 300 303 312 320 325 338 360 384 390 400 404 416 450 468 480 505 507 512 520 576 585 600 606 624 640 650 676 720 768 780 800 808 832 845 900 909 936 960 975 1010 1014 1024 1040 1152 1170 1200 1212 1248 1280 1300 1313 1352 1440 1515 1521 1536 1560 1600 1616 1664 1690 1800 1818 1872 1920 1950 2020 2028 2048 2080 2197 2304 2340 2400 2424 2496 2525 2535 2560 2600 2626 2704 2880 2925 3030 3042 3072 3120 3200 3232 3328 3380 3600 3636 3744 3840 3900 3939 4040 4056 4096 4160 4225 4394 4545 4608 4680 4800 4848 4992 5050 5070 5120 5200 5252 5408 5760 5850 6060 6084 6144 6240 6400 6464 6565 6591 6656 6760 7200 7272 7488 7575 7605 7680 7800 7878 8080 8112 8192 8320 8450 8788 9090 9216 9360 9600 9696 9984 10100 10140 10240 10400 10504 10816 10985 11520 11700 11817 12120 12168 12288 12480 12675 12800 12928 13130 13182 13312 13520 14400 14544 14976 15150 15210 15360 15600 15756 16160 16224 16384 16640 16900 17069 17576 18180 18432 18720 19200 19392 19695 19773 19968 20200 20280 20480 20800 21008 21632 21970 22725 23040 23400 23634 24240 24336 24576 24960 25350 25600 25856 26260 26364 26624 27040 28561 28800 29088 29952 30300 30420 30720 31200 31512 32320 32448 32825 32955 33280 33800 34138 35152 36360 36864 37440 38025 38400 38784 39390 39546 39936 40400 40560 40960 41600 42016 43264 43940 45450 46080 46800 47268 48480 48672 49152 49920 50700 51200 51207 51712 52520 52728 53248 54080 54925 57122 57600 58176 59085 59904 60600 60840 61440 62400 63024 64640 64896 65650 65910 66560 67600 68276 70304 72720 73728 74880 76050 76800 77568 78780 79092 79872 80800 81120 81920 83200 84032 85345 85683 86528 87880 90900 92160 93600 94536 96960 97344 98475 98865 99840 101400 102400 102414 103424 105040 105456 106496 108160 109850 114244 115200 116352 118170 119808 121200 121680 122880 124800 126048 129280 129792 131300 131820 133120 135200 136552 140608 142805 145440 147456 149760 152100 153600 153621 155136 157560 158184 159744 161600 162240 164775 166400 168064 170690 171366 173056 175760 181800 184320 187200 189072 193920 194688 196950 197730 199680 202800 204800 204828 206848 210080 210912 212992 216320 219700 221897 228488 230400 232704 236340 239616 242400 243360 245760 249600 252096 256035 257049 258560 259584 262600 263640 266240 270400 273104 281216 285610 290880 295425 299520 304200 307200 307242 310272 315120 316368 319488 323200 324480 329550 332800 336128 341380 342732 346112 351520 363600 368640 371293 374400 378144 387840 389376 393900 395460 399360 405600 409600 409656 413696 420160 421824 426725 428415 432640 439400 443794 456976 460800 465408 472680 479232 484800 486720 494325 499200 504192 512070 514098 517120 519168 525200 527280 532480 540800 546208 562432 571220 581760 590850 599040 608400 614400 614484 620544 630240 632736 638976 646400 648960 659100 665600 665691 672256 682760 685464 692224 703040 714025 727200 737280 742586 748800 756288 768105 775680 778752 787800 790920 798720 811200 819312 827392 840320 843648 853450 856830 865280 878800 887588 913952 921600 930816 945360 958464 969600 973440 988650 998400 1008384 1024140 1028196 1034240 1038336 1050400 1054560 1064960 1081600 1092416 1109485 1113879 1124864 1142440 1163520 1181700 1198080 1216800 1228800 1228968 1241088 1260480 1265472 1280175 1285245 1292800 1297920 1318200 1331200 1331382 1344512 1365520 1370928 1384448 1406080 1428050 1454400 1485172 1497600 1512576 1536210 1551360 1557504 1575600 1581840 1597440 1622400 1638624 1654784 1680640 1687296 1706900 1713660 1730560 1757600 1775176 1827904 1843200 1856465 1861632 1890720 1916928 1939200 1946880 1977300 1996800 1997073 2016768 2048280 2056392 2068480 2076672 2100800 2109120 2142075 2163200 2184832 2218970 2227758 2249728 2284880 2327040 2363400 2396160 2433600 2457936 2482176 2520960 2530944 2560350 2570490 2585600 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87739392 88758800 89110320 89989120 91395200 92309152 93081600 95051008 96804864 98317440 99853650 100838400 101237760 102819600 103833600 103847796 104871936 106510560 106932384 107560960 107986944 109241600 109674240 111387900 112486400 112501779 113611264 115386440 116985856 118813760 121006080 122896800 124108800 124600320 126547200 127812672 129809745 131089920 131609088 133138200 133665480 134451200 134983680 137092800 138463728 139829248 142014080 142576512 144233050 146232320 148517200 150002372 151257600 155750400 157307904 159765840 161341440 161980416 163862400 164511360 167081850 168729600 170416896 173079660 174786560 175478784 177517600 178220640 179978240 182790400 184618304 186163200 187502965 190102016 193609728 196634880 199707300 201676800 202475520 205639200 207667200 207695592 209743872 213021120 213864768 216349575 218483200 219348480 222775800 224972800 225003558 227222528 230772880 233971712 237627520 242012160 245793600 253094400 255625344 259619490 262179840 263218176 266276400 267330960 268902400 269967360 274185600 276927456 279658496 284028160 285153024 288466100 292464640 297034400 300004744 302515200 311500800 314615808 319531680 322682880 323960832 327724800 329022720 334163700 337459200 337505337 340833792 346159320 349573120 350957568 355035200 356441280 365580800 369236608 372326400 375005930 380204032 393269760 399414600 403353600 404951040 411278400 415391184 419487744 426042240 427729536 432699150 436966400 438696960 445551600 449945600 450007116 454445056 461545760 467943424 475255040 484024320 491587200 506188800 511250688 519238980 524359680 526436352 532552800 534661920 537804800 539934720 548371200 553854912 562508895 568056320 570306048 576932200 584929280 594068800 600009488 605030400 623001600 629231616 639063360 649048725 655449600 658045440 668327400 674918400 675010674 681667584 692318640 699146240 701915136 710070400 712882560 731161600 738473216 750011860 760408064 786539520 798829200 806707200 809902080 822556800 830782368 838975488 852084480 855459072 865398300 873932800 877393920 891103200 899891200 900014232 908890112 923091520 937514825 950510080 968048640 983174400 1012377600 1022501376 1038477960 1048719360 1052872704 1065105600 1069323840 1096742400 1107709824 1125017790 1136112640 1140612096 1153864400 1169858560 1188137600 1200018976 1210060800 1258463232 1278126720 1298097450 1310899200 1316090880 1336654800 1349836800 1350021348 1363335168 1384637280 1398292480 1403830272 1420140800 1425765120 1462323200 1476946432 1500023720 1520816128 1573079040 1597658400 1613414400 1619804160 1645113600 1661564736 1687526685 1704168960 1710918144 1730796600 1747865600 1754787840 1782206400 1800028464 1817780224 1846183040 1875029650 1901020160 1966348800 2024755200 2045002752 2076955920 2097438720 2105745408 2130211200 2138647680 2193484800 2215419648 2250035580 2272225280 2281224192 2307728800 2339717120 2376275200 2400037952 2420121600 2516926464 2556253440 2596194900 2621798400 2632181760 2673309600 2699673600 2700042696 2726670336 2769274560 2812544475 2840281600 2851530240 2924646400 2953892864 3000047440 3041632256 3146158080 3195316800 3290227200 3323129472 3375053370 3408337920 3421836288 3461593200 3495731200 3509575680 3564412800 3600056928 3635560448 3692366080 3750059300 3802040320 3932697600 4049510400 4090005504 4153911840 4194877440 4211490816 4260422400 4277295360 4386969600 4430839296 4500071160 4544450560 4562448384 4615457600 4752550400 4800075904 4840243200 5112506880 5192389800 5243596800 5264363520 5346619200 5400085392 5453340672 5538549120 5625088950 5680563200 5703060480 5849292800 5907785728 6000094880 6083264512 6292316160 6390633600 6580454400 6646258944 6750106740 6816675840 6843672576 6923186400 6991462400 7019151360 7128825600 7200113856 7384732160 7500118600 7604080640 7865395200 8099020800 8180011008 8307823680 8437633425 8520844800 8554590720 8773939200 8861678592 9000142320 9088901120 9124896768 9230915200 9505100800 9600151808 10225013760 10384779600 10487193600 10528727040 10693238400 10800170784 10906681344 11077098240 11250177900 11361126400 11406120960 11698585600 11815571456 12000189760 12584632320 12781267200 13160908800 13292517888 13500213480 13633351680 13687345152 13846372800 14257651200 14400227712 14769464320 15000237200 15208161280 15730790400 16360022016 16615647360 16875266850 17041689600 17109181440 17547878400 17723357184 18000284640 18177802240 18249793536 18461830400 19010201600 19200303616 20450027520 20769559200 20974387200 21057454080 21386476800 21600341568 22154196480 22500355800 22722252800 22812241920 23631142912 24000379520 25562534400 26321817600 26585035776 27000426960 27266703360 27374690304 27692745600 28515302400 28800455424 29538928640 30000474400 30416322560 31461580800 32720044032 33231294720 33750533700 34083379200 34218362880 35095756800 35446714368 36000569280 36923660800 38020403200 38400607232 40900055040 41539118400 42772953600 43200683136 44308392960 45000711600 45444505600 45624483840 47262285824 48000759040 51125068800 52643635200 53170071552 54000853920 54533406720 54749380608 55385491200 57030604800 57600910848 59077857280 60000948800 62923161600 66462589440 67501067400 68166758400 68436725760 70893428736 72001138560 73847321600 76040806400 76801214464 81800110080 83078236800 85545907200 86401366272 88616785920 90001423200 90889011200 91248967680 96001518080 102250137600 105287270400 106340143104 108001707840 110770982400 114061209600 115201821696 118155714560 120001897600 132925178880 135002134800 136333516800 136873451520 141786857472 144002277120 147694643200 152081612800 153602428928 163600220160 166156473600 171091814400 172802732544 177233571840 180002846400 192003036160 204500275200 212680286208 216003415680 221541964800 228122419200 230403643392 236311429120 240003795200 265850357760 270004269600 272667033600 273746903040 288004554240 295389286400 307204857856 332312947200 342183628800 345605465088 354467143680 360005692800 384006072320 409000550400 425360572416 432006831360 443083929600 456244838400 460807286784 480007590400 531700715520 540008539200 576009108480 590778572800 614409715712 664625894400 684367257600 691210930176 708934287360 720011385600 768012144640 818001100800 864013662720 886167859200 921614573568 960015180800 1063401431040 1080017078400 1152018216960 1181557145600 1329251788800 1368734515200 1382421860352 1440022771200 1536024289280 1728027325440 1772335718400 1843229147136 1920030361600 2126802862080 2160034156800 2304036433920 2658503577600 2764843720704 2880045542400 3072048578560 3456054650880 3544671436800 3840060723200 4320068313600 4608072867840 5317007155200 5529687441408 5760091084800 6912109301760 7680121446400 8640136627200 9216145735680 10634014310400 11520182169600 13824218603520 15360242892800 17280273254400 23040364339200 27648437207040 34560546508800 46080728678400 69121093017600 138242186035200
- Sum of all divisors σ(n): 541777140754668
- Sum of proper divisors (its aliquot sum) s(n): 403534954719468
- 138242186035200 is an abundant number, because the sum of its proper divisors (403534954719468) is greater than itself. Its abundance is 265292768684268
Bases of 138242186035200
- Binary: 111110110111011000001000110010001000000000000002
- Hexadecimal: 0x7DBB04644000
- Base-36: 1D03L09A80
Squares and roots of 138242186035200
- 138242186035200 squared (1382421860352002) is 19110901999790845895639040000
- 138242186035200 cubed (1382421860352003) is 2641932869555561829794906532067934208000000
-
The
square root of 138242186035200 is 11757643.7280264619 -
The
cube root of 138242186035200 is 51706.7051096797
Scales and comparisons
How big is 138242186035200?- 138,242,186,035,200 seconds is equal to 4,395,673 years, 47 weeks, 8 hours.
-
To count from 1 to 138,242,186,035,200 would take you about ten million, nine hundred eighty-nine thousand, one hundred eighty-four 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 138242186035200 cubic inches would be around 4308.9 feet tall.
Recreational maths with 138242186035200
- 138242186035200 backwards is 002530681242831
- 138242186035200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138242186035200's digits is 45
- More coming soon!
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"Number 138242186035200 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 138242186035200 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138242186035200/
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The information we have on file for 138242186035200 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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