138271261990400
138,271,261,990,400 is an even composite number composed of six prime numbers multiplied together.
138271261990400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, seven hundred divisors.
Prime factorization of 138271261990400:
29 × 52 × 74 × 112 × 192 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 11 × 19 × 19 × 103)See below for interesting mathematical facts about the number 138271261990400 from the Numbermatics database.
Names of 138271261990400
- Cardinal: 138271261990400 can be written as One hundred thirty-eight trillion, two hundred seventy-one billion, two hundred sixty-one million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.382712619904 × 1014
Factors of 138271261990400
Divisors of 138271261990400
- Number of divisors d(n): 2700
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 19 20 22 25 28 32 35 38 40 44 49 50 55 56 64 70 76 77 80 88 95 98 100 103 110 112 121 128 133 140 152 154 160 175 176 190 196 200 206 209 220 224 242 245 256 266 275 280 304 308 320 343 350 352 361 380 385 392 400 412 418 440 448 475 484 490 512 515 532 539 550 560 605 608 616 640 665 686 700 704 721 722 760 770 784 800 824 836 847 880 896 931 950 968 980 1030 1045 1064 1078 1100 1120 1133 1210 1216 1225 1232 1280 1330 1372 1400 1408 1442 1444 1463 1520 1540 1568 1600 1648 1672 1694 1715 1760 1792 1805 1862 1900 1925 1936 1957 1960 2060 2090 2128 2156 2200 2240 2266 2299 2401 2420 2432 2450 2464 2527 2560 2575 2660 2695 2744 2800 2816 2884 2888 2926 3025 3040 3080 3136 3200 3296 3325 3344 3388 3430 3520 3584 3605 3610 3724 3773 3800 3850 3872 3914 3920 3971 4120 4180 4235 4256 4312 4400 4480 4532 4598 4655 4802 4840 4864 4900 4928 5047 5054 5150 5225 5320 5390 5488 5600 5632 5665 5768 5776 5852 5929 6050 6080 6160 6272 6400 6517 6592 6650 6688 6776 6860 7040 7210 7220 7315 7448 7546 7600 7700 7744 7828 7840 7931 7942 8240 8360 8470 8512 8575 8624 8800 8960 9025 9064 9196 9310 9604 9680 9728 9785 9800 9856 10094 10108 10241 10300 10450 10640 10780 10976 11200 11330 11495 11536 11552 11704 11858 12005 12100 12160 12320 12463 12544 12635 12800 13034 13184 13300 13376 13475 13552 13699 13720 14080 14420 14440 14630 14896 15092 15200 15400 15488 15656 15680 15862 15884 16093 16480 16720 16940 17024 17150 17248 17600 17689 17920 18025 18050 18128 18392 18620 18865 19208 19360 19570 19600 19712 19855 20188 20216 20482 20600 20900 21175 21280 21527 21560 21952 22400 22660 22990 23072 23104 23275 23408 23716 24010 24200 24320 24640 24926 25088 25235 25270 26068 26368 26411 26600 26752 26950 27104 27398 27440 27797 28160 28325 28840 28880 29260 29645 29792 30184 30400 30800 30976 31312 31360 31724 31768 32186 32585 32960 33440 33880 34048 34300 34496 35200 35329 35378 36050 36100 36256 36575 36784 37183 37240 37730 38416 38720 39140 39200 39424 39655 39710 40376 40432 40964 41200 41503 41800 42350 42560 43054 43120 43681 43904 44800 45320 45619 45980 46144 46208 46550 46816 47432 48020 48400 48640 48925 49280 49852 50470 50540 51205 52136 52736 52822 53200 53504 53900 54208 54796 54880 55517 55594 56650 57475 57680 57760 58520 59290 59584 60025 60368 60800 61600 61952 62315 62624 62720 63175 63448 63536 64372 65170 65920 66880 67760 68096 68495 68600 68992 70400 70658 70756 71687 72100 72200 72512 73150 73568 74366 74480 75460 76832 77440 78280 78400 79310 79420 80465 80752 80864 81928 82400 83006 83600 84700 85120 86108 86240 87241 87362 87808 88445 89600 90640 91238 91960 92288 92416 93100 93632 94325 94864 95893 96040 96800 97850 98560 99275 99704 100940 101080 102410 104272 105644 106400 107008 107635 107800 108416 109592 109760 111034 111188 112651 113300 114950 115360 115520 117040 118580 119168 120050 120736 121600 123200 123823 124630 125248 125440 126175 126350 126896 127072 128744 130340 131840 132055 133760 135520 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15254993600 15320915456 15432060490 15712643408 16033309600 16124928512 16244274200 16324824320 16539624640 16780492960 17410131200 17434278400 17636640560 17663676800 17855276600 17957306752 18193587104 18323782400 18564884800 18902428160 19151144320 19177706240 19640804260 20156160640 20406030400 20674530800 20792670976 20975616200 21217011200 21604884686 22045800700 22446633440 22741983880 22854754048 23321177600 23628035200 23938930400 23972132800 24407989760 24551005325 24691296784 25195200800 25653295360 25990838720 26463399424 26848788736 27358777600 27396723200 28058291800 28218624896 28427479850 28568442560 28794515200 29703815680 30072044800 30509987200 30864120980 31425286816 32066619200 32488548400 32649648640 33079249280 33560985920 34820262400 35273281120 35327353600 35710553200 35914613504 36387174208 36647564800 37129769600 38302288640 38355412480 38580151225 39281608520 40312321280 40812060800 41349061600 41585341952 41951232400 43209769372 44091601400 44893266880 45483967760 45709508096 47256070400 47877860800 47944265600 49102010650 49382593568 50390401600 51306590720 51981677440 53697577472 54012211715 54717555200 56116583600 56437249792 56854959700 57136885120 57589030400 60144089600 61019974400 61728241960 62850573632 64133238400 64977096800 66158498560 67121971840 70546562240 70654707200 71421106400 71829227008 72774348416 74259539200 76604577280 77160302450 78563217040 80624642560 81624121600 82698123200 83902464800 86419538744 88183202800 89786533760 90967935520 94512140800 95755721600 95888531200 98204021300 98765187136 100780803200 103963354880 108024423430 112233167200 112874499584 113709919400 114273770240 122039948800 123456483920 125701147264 128266476800 129954193600 132316997120 134243943680 141093124480 142842212800 145548696832 148519078400 154320604900 157126434080 163248243200 165396246400 167804929600 172839077488 176366405600 179573067520 181935871040 191511443200 191777062400 196408042600 197530374272 201561606400 207926709760 216048846860 224466334400 227419838800 228547540480 246912967840 251402294528 256532953600 259908387200 268487887360 270061058575 282186248960 285684425600 291097393664 308641209800 314252868160 330792492800 335609859200 345678154976 352732811200 359146135040 363871742080 383022886400 392816085200 395060748544 403123212800 432097693720 448932668800 454839677600 493825935680 502804589056 519816774400 540122117150 564372497920 571368851200 617282419600 628505736320 661584985600 671219718400 691356309952 705465622400 727743484160 785632170400 790121497088 864195387440 897865337600 909679355200 987651871360 1039633548800 1080244234300 1142737702400 1234564839200 1257011472640 1342439436800 1382712619904 1410931244800 1455486968320 1571264340800 1728390774880 1795730675200 1819358710400 1975303742720 2160488468600 2469129678400 2514022945280 2765425239808 2821862489600 3142528681600 3456781549760 3638717420800 3950607485440 4320976937200 4938259356800 5530850479616 6285057363200 6913563099520 7277434841600 8641953874400 9876518713600 12570114726400 13827126199040 17283907748800 19753037427200 27654252398080 34567815497600 69135630995200 138271261990400
- Sum of all divisors σ(n): 468123444885096
- Sum of proper divisors (its aliquot sum) s(n): 329852182894696
- 138271261990400 is an abundant number, because the sum of its proper divisors (329852182894696) is greater than itself. Its abundance is 191580920904296
Bases of 138271261990400
- Binary: 111110111000001110010010111010000011110000000002
- Hexadecimal: 0x7DC1C9741E00
- Base-36: 1D0GXVBWU8
Squares and roots of 138271261990400
- 138271261990400 squared (1382712619904002) is 19118941892417835769692160000
- 138271261990400 cubed (1382712619904003) is 2643600223385740541016865091316875264000000
-
The
square root of 138271261990400 is 11758880.1333460321 -
The
cube root of 138271261990400 is 51710.3299473499
Scales and comparisons
How big is 138271261990400?- 138,271,261,990,400 seconds is equal to 4,396,598 years, 22 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,271,261,990,400 would take you about ten million, nine hundred ninety-one thousand, four hundred ninety-six 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 138271261990400 cubic inches would be around 4309.2 feet tall.
Recreational maths with 138271261990400
- 138271261990400 backwards is 004099162172831
- The number of decimal digits it has is: 15
- The sum of 138271261990400's digits is 53
- More coming soon!
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"Number 138271261990400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 138271261990400 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138271261990400/
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The information we have on file for 138271261990400 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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