138806461521000
138,806,461,521,000 is an even composite number composed of eight prime numbers multiplied together.
138806461521000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138806461521000:
23 × 32 × 53 × 72 × 132 × 31 × 73 × 823
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 31 × 73 × 823)See below for interesting mathematical facts about the number 138806461521000 from the Numbermatics database.
Names of 138806461521000
- Cardinal: 138806461521000 can be written as One hundred thirty-eight trillion, eight hundred six billion, four hundred sixty-one million, five hundred twenty-one thousand.
Scientific notation
- Scientific notation: 1.38806461521 × 1014
Factors of 138806461521000
Divisors of 138806461521000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 25 26 28 30 31 35 36 39 40 42 45 49 50 52 56 60 62 63 65 70 72 73 75 78 84 90 91 93 98 100 104 105 117 120 124 125 126 130 140 146 147 150 155 156 168 169 175 180 182 186 195 196 200 210 217 219 225 234 245 248 250 252 260 273 279 280 292 294 300 310 312 315 325 338 350 360 364 365 372 375 390 392 403 420 434 438 441 450 455 465 468 490 500 504 507 511 520 525 546 558 584 585 588 600 620 630 637 650 651 657 676 700 728 730 735 744 750 775 780 806 819 823 840 845 868 875 876 882 900 910 930 936 949 975 980 1000 1014 1022 1050 1085 1092 1095 1116 1125 1170 1176 1183 1209 1225 1240 1260 1274 1300 1302 1314 1352 1365 1395 1400 1460 1470 1500 1519 1521 1533 1550 1560 1575 1612 1625 1638 1646 1690 1736 1750 1752 1764 1800 1820 1825 1860 1898 1911 1950 1953 1960 2015 2028 2044 2100 2170 2184 2190 2205 2232 2250 2263 2275 2325 2340 2366 2418 2450 2469 2520 2535 2548 2555 2600 2604 2625 2628 2730 2790 2821 2847 2920 2925 2940 3000 3038 3042 3066 3100 3150 3185 3224 3250 3255 3276 3285 3292 3380 3500 3528 3549 3577 3627 3640 3650 3675 3720 3796 3822 3875 3900 3906 4030 4056 4088 4095 4115 4200 4225 4340 4380 4410 4500 4526 4550 4557 4599 4650 4680 4732 4745 4836 4875 4900 4938 5070 5096 5110 5208 5239 5250 5256 5425 5460 5475 5580 5642 5694 5733 5761 5850 5880 5915 6045 6076 6084 6125 6132 6200 6300 6370 6500 6510 6552 6570 6584 6643 6760 6789 6825 6975 7000 7098 7154 7254 7300 7350 7407 7592 7595 7605 7644 7665 7750 7800 7812 7875 8060 8190 8230 8281 8450 8463 8541 8680 8760 8820 9000 9052 9100 9114 9125 9198 9300 9464 9490 9555 9672 9750 9765 9800 9876 10075 10140 10220 10478 10500 10647 10699 10731 10850 10920 10950 11025 11160 11284 11315 11375 11388 11466 11522 11625 11700 11830 12090 12152 12168 12250 12264 12337 12345 12600 12675 12740 12775 13000 13020 13140 13286 13578 13650 13671 13950 14105 14196 14235 14308 14508 14600 14625 14700 14814 15190 15210 15288 15330 15500 15624 15717 15750 15841 15925 16120 16275 16380 16425 16460 16562 16900 16926 17082 17283 17640 17745 17885 18104 18135 18200 18228 18250 18375 18396 18600 18980 19110 19500 19530 19747 19752 19929 20150 20280 20367 20440 20475 20575 20956 21000 21125 21294 21398 21462 21700 21900 22050 22568 22630 22750 22776 22785 22932 22995 23044 23250 23400 23660 23725 24180 24500 24674 24690 24843 25350 25389 25480 25513 25550 26040 26195 26280 26572 27125 27156 27300 27342 27375 27900 28210 28392 28470 28616 28665 28805 29016 29250 29400 29419 29575 29628 30225 30380 30420 30660 31000 31434 31500 31682 31850 32097 32193 32550 32760 32850 32920 33124 33215 33800 33852 33945 34125 34164 34566 34875 35490 35770 36270 36456 36500 36673 36750 36792 37011 37035 37960 37975 38025 38220 38325 39000 39060 39494 39858 40300 40327 40734 40950 41150 41405 41912 42250 42315 42588 42705 42796 42924 43400 43800 44100 45260 45500 45570 45864 45990 46088 46500 46501 47151 47320 47450 47523 47775 48360 48825 49000 49348 49380 49686 50375 50700 50778 51026 51100 51849 52390 53144 53235 53495 53655 54250 54312 54600 54684 54750 55125 55800 56420 56575 56940 57330 57610 58500 58838 59150 59241 59256 59787 60079 60450 60760 60840 61320 61685 61725 62868 63000 63364 63375 63700 63875 64194 64386 65100 65700 66248 66430 67704 67890 68250 68328 68355 69132 69750 70525 70980 71175 71540 72540 73000 73346 73500 74022 74070 74529 74893 75950 76050 76440 76539 76650 78120 78585 78988 79205 79625 79716 80600 80654 81375 81468 81900 82125 82300 82810 84500 84630 85176 85410 85592 85848 86359 86415 88200 88257 88725 89425 90520 90675 91000 91140 91980 93000 93002 94302 94900 95046 95550 96291 97650 98696 98735 98760 99372 99645 100750 101400 101556 101835 102052 102200 102375 102875 103698 104780 106470 106990 107310 108500 109368 109500 110019 110250 110887 111033 112840 113150 113880 113925 114660 114975 115220 117000 117676 118300 118482 118625 119574 120158 120900 120981 123370 123450 124215 125736 126728 126750 126945 127400 127565 127750 128388 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29333571750 29659500325 29850851940 30181879000 30460053000 30506914620 30668683500 30845880338 31475388100 31690972950 31983055650 32853600360 33049157505 33731825400 33896571800 33954613875 34222500375 34443290700 35536728500 35591400390 35821022328 36317755500 36566507250 37313564925 37770465720 38029167540 38133643275 38270323000 38805273000 39111429000 39344235125 39658989006 41067000450 42164781750 42254630600 42370714750 42644074200 42709680468 43054113375 43581306600 44065543340 44776277910 45272818500 45630000500 45690079500 46268820507 47213082150 47455200520 47536459425 48755343000 49204701000 49751419900 50844857700 52818288250 52878652008 53305092750 53387100585 54327382200 54476633250 54756000600 55081929175 56219709000 56655698580 57405484500 58667143500 59319000650 59701703880 61013829240 61337367000 61691760676 62189274875 62950776200 63381945900 63556072125 63966111300 66098315010 67909227750 68445000750 68886581400 70819623225 71073457000 71182800780 72635511000 73133014500 74627129850 76058335080 76267286550 77114700845 78688470250 79227432375 79317978012 79957639125 82134000900 84329563500 84741429500 85419360936 86108226750 88131086680 88978500975 89552555820 90545637000 91260001000 91380159000 92537641014 94426164300 95072918850 99147472515 99502839800 101689715400 102667501125 105636576500 106610185500 106774201170 108953266500 110163858350 111940694775 113311397160 114810969000 117334287000 118032705375 118638001300 123383521352 124378549750 126763891800 127112144250 127932222600 132196630020 135818455500 136890001500 138806461521 141639246450 142365601560 146266029000 148297501625 149254259700 152534573100 154229401690 157376940500 158454864750 158635956024 159915278250 164268001800 165245787525 168659127000 169482859000 172216453500 177957001950 179105111640 185075282028 186567824625 188852328600 190145837700 190668216375 198294945030 205335002250 211273153000 213220371000 213548402340 217906533000 220327716700 223881389550 231344102535 236065410750 237276002600 237682297125 248757099500 254224288500 264393260040 266935502925 271636911000 273780003000 275409645875 277612923042 283278492900 296595003250 298508519400 305069146200 308458803380 314753881000 316909729500 319830556500 330491575050 344432907000 354098116125 355914003900 370150564056 373135649250 380291675400 381336432750 385573504225 396589890060 410670004500 427096804680 440655433400 444892504875 447762779100 462688205070 472130821500 475364594250 495737362575 497514199000 508448577000 533871005850 550819291750 555225846084 559703473875 566556985800 593190006500 616917606760 633819459000 639661113000 660983150100 694032307605 708196232250 711828007800 746271298500 762672865500 771147008450 793179780120 821340009000 826228937625 889785009750 895525558200 925376410140 944261643000 950729188500 991474725150 1067742011700 1101638583500 1110451692168 1119406947750 1156720512675 1186380013000 1321966300200 1334677514625 1388064615210 1416392464500 1492542597000 1525345731000 1542294016900 1652457875250 1779570019500 1850752820280 1901458377000 1927867521125 1982949450300 2135484023400 2203277167000 2238813895500 2313441025350 2478686812875 2669355029250 2776129230420 2832784929000 3084588033800 3304915750500 3470161538025 3559140039000 3855735042250 3965898900600 4477627791000 4626882050700 4957373625750 5338710058500 5552258460840 5783602563375 6609831501000 6940323076050 7711470084500 9253764101400 9914747251500 10677420117000 11567205126750 13880646152100 15422940169000 17350807690125 19829494503000 23134410253500 27761292304200 34701615380250 46268820507000 69403230760500 138806461521000
- Sum of all divisors σ(n): 619147416176640
- Sum of proper divisors (its aliquot sum) s(n): 480340954655640
- 138806461521000 is an abundant number, because the sum of its proper divisors (480340954655640) is greater than itself. Its abundance is 341534493134640
Bases of 138806461521000
- Binary: 111111000111110011001011101010011011100011010002
- Hexadecimal: 0x7E3E65D4DC68
- Base-36: 1D7AT3B9M0
Squares and roots of 138806461521000
- 138806461521000 squared (1388064615210002) is 19267233759980853633441000000
- 138806461521000 cubed (1388064615210003) is 2674416541520894509566961205323761000000000
-
The
square root of 138806461521000 is 11781615.4037126845 -
The
cube root of 138806461521000 is 51776.9615653281
Scales and comparisons
How big is 138806461521000?- 138,806,461,521,000 seconds is equal to 4,413,616 years, 6 weeks, 1 day, 14 hours, 30 minutes.
-
To count from 1 to 138,806,461,521,000 would take you about eleven million, thirty-four thousand and forty 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 138806461521000 cubic inches would be around 4314.7 feet tall.
Recreational maths with 138806461521000
- 138806461521000 backwards is 000125164608831
- 138806461521000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138806461521000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 138806461521000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 138806461521000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138806461521000/
Chicago style:
Numbermatics. 2024. "Number 138806461521000 - Facts about the integer". https://numbermatics.com/n/138806461521000/
The information we have on file for 138806461521000 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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