138848285743200
138,848,285,743,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138848285743200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
138848285743200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138848285743200:
25 × 38 × 52 × 11 × 19 × 47 × 2693
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 19 × 47 × 2693)See below for interesting mathematical facts about the number 138848285743200 from the Numbermatics database.
Names of 138848285743200
- Cardinal: 138848285743200 can be written as One hundred thirty-eight trillion, eight hundred forty-eight billion, two hundred eighty-five million, seven hundred forty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.388482857432 × 1014
Factors of 138848285743200
Divisors of 138848285743200
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 27 30 32 33 36 38 40 44 45 47 48 50 54 55 57 60 66 72 75 76 80 81 88 90 94 95 96 99 100 108 110 114 120 132 135 141 144 150 152 160 162 165 171 176 180 188 190 198 200 209 216 220 225 228 235 240 243 264 270 275 282 285 288 297 300 304 324 330 342 352 360 376 380 396 400 405 418 423 432 440 450 456 470 475 480 486 495 513 517 528 540 550 564 570 594 600 608 627 648 660 675 684 705 720 729 752 760 792 800 810 825 836 846 855 864 880 891 893 900 912 940 950 972 990 1026 1034 1045 1056 1080 1100 1128 1140 1175 1188 1200 1215 1254 1269 1296 1320 1350 1368 1410 1425 1440 1458 1485 1504 1520 1539 1551 1584 1620 1650 1672 1692 1710 1760 1782 1786 1800 1824 1880 1881 1900 1944 1980 2025 2052 2068 2090 2115 2160 2187 2200 2256 2280 2350 2376 2400 2430 2475 2508 2538 2565 2585 2592 2640 2673 2679 2693 2700 2736 2820 2850 2916 2970 3040 3078 3102 3135 3168 3240 3300 3344 3384 3420 3525 3564 3572 3600 3645 3760 3762 3800 3807 3888 3960 4050 4104 4136 4180 4230 4275 4320 4374 4400 4455 4465 4512 4560 4617 4653 4700 4752 4860 4950 5016 5076 5130 5170 5225 5280 5346 5358 5386 5400 5472 5640 5643 5700 5832 5940 6075 6156 6204 6270 6345 6480 6561 6600 6688 6768 6840 7050 7128 7144 7200 7290 7425 7520 7524 7600 7614 7695 7755 7776 7920 8019 8037 8079 8100 8208 8272 8360 8460 8550 8748 8800 8910 8930 9120 9234 9306 9400 9405 9504 9720 9823 9900 10032 10152 10260 10340 10450 10575 10692 10716 10772 10800 10935 11280 11286 11400 11421 11664 11880 12150 12312 12408 12540 12690 12825 12925 12960 13122 13200 13365 13395 13465 13536 13680 13851 13959 14100 14256 14288 14580 14850 15048 15200 15228 15390 15510 15675 15840 16038 16074 16158 16200 16416 16544 16720 16920 16929 17100 17496 17820 17860 18225 18468 18612 18800 18810 19035 19440 19646 19800 20064 20304 20520 20680 20900 21150 21384 21432 21544 21600 21870 22275 22325 22560 22572 22800 22842 23085 23265 23328 23760 24057 24111 24237 24300 24624 24816 25080 25380 25650 25850 26244 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30073269600 30449185470 30773112975 31097040480 31166843040 31556428578 31744006800 32140806885 32479131168 32824653840 33217293240 33570668700 33832428300 34283527344 35062698420 35712007650 36471837600 36539022564 36908103600 36927735570 38092808160 38568968262 38871300600 38958553800 39389584608 40598913960 41030817300 41521616550 42075238104 42854409180 43828373025 44289724320 44760891600 45109904400 45673778205 46750264560 47616010200 48718696752 49236980760 50748642450 51425291016 51558962400 51828400800 51944738400 52594047630 53568011475 53713069920 54131885280 54707756400 55362155400 56100317472 57139212240 57853452393 58437830700 59084376912 60898370940 61546225950 63112857156 63488013600 64281613770 65649307680 66434586480 67141337400 67664856600 68567054688 70125396840 71424015300 73078045128 73816207200 73855471140 76122963675 77137936524 77742601200 77917107600 78891071445 81197827920 82061634600 83043233100 84150476208 85708818360 87656746050 89521783200 90219808800 91347556410 92319338925 93500529120 95232020400 96422420655 97437393504 98473961520 101497284900 102850582032 105188095260 107136022950 109415512800 110724310800 114278424480 115706904786 116875661400 118168753824 121796741880 123092451900 126225714312 128563227540 131485119075 132869172960 134282674800 135329713200 140250793680 142848030600 146156090256 147710942280 152245927350 154275873048 155485202400 155834215200 157782142890 160704034425 162395655840 164123269200 166086466200 168300952416 171417636720 173560357179 175313492100 182695112820 184638677850 190464040800 192844841310 196947923040 202994569800 205701164064 210376190520 214272045900 221448621600 228368891025 231413809572 233751322800 243593483760 246184903800 252451428624 257126455080 262970238150 268565349600 270659426400 280501587360 285696061200 289267261965 292312180512 295421884560 304491854700 308551746096 315564285780 321408068850 328246538400 332172932400 342835273440 347120714358 350626984200 365390225640 369277355700 385689682620 394455357225 405989139600 420752381040 428544091800 456737782050 462827619144 467502645600 482112103275 487186967520 492369807600 504902857248 514252910160 525940476300 571392122400 578534523930 590843769120 608983709400 617103492192 631128571560 642816137700 664345864800 694241428716 701253968400 730780451280 738554711400 771379365240 788910714450 811978279200 841504762080 857088183600 867801785895 913475564100 925655238288 964224206550 984739615200 1028505820320 1051880952600 1157069047860 1217967418800 1262257143120 1285632275400 1388482857432 1402507936800 1446336309825 1461560902560 1477109422800 1542758730480 1577821428900 1714176367200 1735603571790 1826951128200 1851310476576 1928448413100 2103761905200 2314138095720 2435934837600 2524514286240 2571264550800 2776965714864 2892672619650 2954218845600 3085517460960 3155642857800 3471207143580 3653902256400 3856896826200 4207523810400 4339008929475 4628276191440 5142529101600 5553931429728 5785345239300 6311285715600 6942414287160 7307804512800 7713793652400 8678017858950 9256552382880 11570690478600 12622571431200 13884828574320 15427587304800 17356035717900 23141380957200 27769657148640 34712071435800 46282761914400 69424142871600 138848285743200
- Sum of all divisors σ(n): 596474038218240
- Sum of proper divisors (its aliquot sum) s(n): 457625752475040
- 138848285743200 is an abundant number, because the sum of its proper divisors (457625752475040) is greater than itself. Its abundance is 318777466731840
Bases of 138848285743200
- Binary: 111111001001000001000101011111111011000011000002
- Hexadecimal: 0x7E4822BFD860
- Base-36: 1D7U0SDI00
Squares and roots of 138848285743200
- 138848285743200 squared (1388482857432002) is 19278846453825316376346240000
- 138848285743200 cubed (1388482857432003) is 2676834781220015552921065121098925568000000
-
The
square root of 138848285743200 is 11783390.2482774455 -
The
cube root of 138848285743200 is 51782.1614041467
Scales and comparisons
How big is 138848285743200?- 138,848,285,743,200 seconds is equal to 4,414,946 years, 6 hours.
-
To count from 1 to 138,848,285,743,200 would take you about eleven million, thirty-seven thousand, three hundred sixty-five 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 138848285743200 cubic inches would be around 4315.2 feet tall.
Recreational maths with 138848285743200
- 138848285743200 backwards is 002347582848831
- The number of decimal digits it has is: 15
- The sum of 138848285743200's digits is 63
- More coming soon!
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"Number 138848285743200 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 138848285743200 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138848285743200/
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The information we have on file for 138848285743200 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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