138294480990000
138,294,480,990,000 is an even composite number composed of eight prime numbers multiplied together.
138294480990000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 138294480990000:
24 × 3 × 54 × 17 × 31 × 53 × 151 × 1093
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 17 × 31 × 53 × 151 × 1093)See below for interesting mathematical facts about the number 138294480990000 from the Numbermatics database.
Names of 138294480990000
- Cardinal: 138294480990000 can be written as One hundred thirty-eight trillion, two hundred ninety-four billion, four hundred eighty million, nine hundred ninety thousand.
Scientific notation
- Scientific notation: 1.3829448099 × 1014
Factors of 138294480990000
Divisors of 138294480990000
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 31 34 40 48 50 51 53 60 62 68 75 80 85 93 100 102 106 120 124 125 136 150 151 155 159 170 186 200 204 212 240 248 250 255 265 272 300 302 310 318 340 372 375 400 408 424 425 453 465 496 500 510 527 530 600 604 620 625 636 680 744 750 755 775 795 816 848 850 901 906 930 1000 1020 1054 1060 1093 1200 1208 1240 1250 1272 1275 1325 1360 1488 1500 1510 1550 1581 1590 1643 1700 1802 1812 1860 1875 2000 2040 2108 2120 2125 2186 2265 2325 2416 2480 2500 2544 2550 2567 2635 2650 2703 3000 3020 3100 3162 3180 3279 3286 3400 3604 3624 3720 3750 3775 3875 3975 4080 4216 4240 4250 4372 4505 4530 4650 4681 4929 5000 5100 5134 5270 5300 5406 5465 6000 6040 6200 6324 6360 6375 6558 6572 6625 6800 7208 7248 7440 7500 7550 7701 7750 7905 7950 8003 8215 8432 8500 8744 9010 9060 9300 9362 9858 10000 10200 10268 10540 10600 10625 10812 10930 11325 11625 12080 12400 12648 12720 12750 12835 13116 13144 13175 13250 13515 14043 14416 15000 15100 15402 15500 15810 15900 16006 16395 16430 17000 17488 18020 18120 18581 18600 18724 18875 19375 19716 19875 20400 20536 21080 21200 21250 21624 21860 22525 22650 23250 23405 24009 24645 25296 25500 25670 26232 26288 26350 26500 27030 27325 27931 28086 30000 30200 30804 31000 31620 31800 31875 32012 32790 32860 33125 33883 34000 36040 36240 37162 37200 37448 37750 38505 38750 39432 39525 39750 40015 41072 41075 42160 42500 43248 43720 45050 45300 46500 46810 48018 49290 51000 51340 52464 52700 53000 54060 54650 55743 55862 56172 56625 57929 58125 60400 61608 62000 63240 63600 63750 64024 64175 65580 65720 65875 66250 67575 67766 70215 72080 74324 74896 75500 77010 77500 78864 79050 79500 79577 80030 81975 82150 83793 85000 87440 90100 90600 92905 93000 93620 94375 96036 98580 99375 101649 102000 102680 105400 106000 108120 109300 111486 111724 112344 112625 113250 115858 116250 117025 120045 123216 123225 126480 127500 128048 128350 131160 131440 131750 132500 135150 135532 136051 136625 139655 140430 148648 151000 154020 155000 158100 159000 159154 160060 163950 164300 165043 167586 169415 170000 173787 180200 181200 185810 186000 187240 188750 192072 192525 197160 197625 198750 200075 203298 205360 205375 210800 216240 218600 222972 223448 224688 225250 226500 231716 232500 234050 238731 240090 246450 248093 255000 256700 262320 263500 265000 270300 271064 272102 273250 278715 279310 280860 283125 289645 297296 302000 308040 310000 316200 318000 318308 320120 320875 327900 328600 329375 330086 335172 337875 338830 347574 351075 360400 371620 374480 377500 384144 385050 394320 395250 397500 397885 400150 406596 408153 409875 410750 418965 437200 445944 446896 450500 453000 463432 464525 465000 468100 477462 480180 492900 495129 496186 508245 510000 513400 527000 530000 540600 542128 544204 546500 557430 558620 561720 563125 566250 576011 579290 585125 600225 616080 616125 632400 636616 640240 641750 655800 657200 658750 660172 670344 675750 677660 680255 683125 695148 698275 702150 743240 744279 755000 770100 790500 795000 795770 800300 813192 816306 819750 821500 825215 837930 847075 868935 891888 901000 906000 926864 929050 930000 936200 954924 960360 962625 984793 985800 988125 990258 992372 1000375 1016490 1026800 1026875 1054000 1081200 1088408 1093000 1114860 1117240 1123440 1126250 1132500 1152022 1158580 1170250 1193655 1200450 1232250 1240465 1273232 1283500 1311600 1317500 1320344 1340688 1351500 1355320 1360510 1366250 1390296 1393575 1396550 1404300 1448225 1486480 1488558 1510000 1540200 1581000 1590000 1591540 1600600 1604375 1626384 1632612 1639500 1643000 1650430 1675860 1689375 1694150 1728033 1737870 1755375 1795799 1802000 1858100 1872400 1909848 1920720 1925250 1969586 1971600 1976250 1980516 1984744 1989425 2000750 2032980 2040765 2049375 2053750 2094825 2176816 2186000 2229720 2234480 2252500 2265000 2304044 2317160 2322625 2340500 2387310 2400900 2464500 2475645 2480930 2541225 2567000 2635000 2640688 2703000 2710640 2721020 2732500 2780592 2787150 2793100 2805731 2808600 2880055 2896450 2925625 2954379 2977116 3001125 3080400 3080625 3162000 3183080 3201200 3208750 3265224 3279000 3286000 3300860 3351720 3378750 3388300 3401275 3456066 3475740 3491375 3510750 3591598 3716200 3721395 3819696 3850500 3939172 3952500 3961032 3969488 3978850 4001500 4065960 4081530 4098750 4107500 4126075 4189650 4217581 4235375 4344675 4459440 4505000 4530000 4608088 4634320 4645250 4681000 4774620 4801800 4813125 4923965 4929000 4951290 4961860 5001875 5082450 5116333 5134000 5270000 5387397 5406000 5442040 5465000 5574300 5586200 5611462 5617200 5760110 5792900 5851250 5908758 5954232 5968275 6002250 6161250 6202325 6366160 6417500 6530448 6558000 6601720 6703440 6757500 6776600 6802550 6912132 6951480 6967875 6982750 7021500 7183196 7241125 7432400 7442790 7701000 7878344 7905000 7922064 7957700 8003000 8131920 8163060 8197500 8215000 8252150 8379300 8417193 8435162 8470750 8640165 8689350 8747279 8776875 8978995 9010000 9216176 9290500 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84171930 84351620 84707500 85031875 86198352 86401650 86893500 86977661 87472790 89789950 91585749 92905000 93034875 95492400 98479300 99025800 99237200 99471250 101221944 101649000 102038250 102326660 103151875 104741250 104967348 105439525 107747940 108616875 111486000 112229240 115202200 115858000 118175160 119365500 120045000 122114332 122791992 123099125 123782250 124046500 126527430 127061250 127908325 131209185 134675088 134684925 136051000 138242640 139357500 139655000 139956464 140286550 140430000 143663920 144002750 144822500 147718950 148703743 148855800 149206875 152642915 153489990 155058125 159154000 163261200 165043000 167586000 168343860 168703240 169415000 170063750 172803300 173787000 173955322 174945580 179579900 183171498 185810000 186069750 196958600 198051600 198942500 202443888 203298000 204076500 204653320 206303750 209482500 209934696 210429825 210879050 215495880 216004125 217233750 218681975 224458480 224474875 230404400 236350320 238731000 240090000 244228664 245583984 246198250 247564500 248093000 253054860 254122500 255095625 255816650 260932983 262418370 269369850 271165649 272102000 278715000 279310000 280573100 288005500 289645000 295437900 297407486 297711600 298413750 305285830 306979980 309455625 310116250 316318575 330086000 336687720 337406480 338830000 340127500 345606600 347574000 347910644 349891160 350716375 359159800 360006875 366342996 369297375 372139500 383724975 393917200 397885000 408153000 409306640 412607500 418965000 419869392 420859650 421758100 430991760 432008250 434467500 434888305 437363950 446111229 448949750 457928745 465174375 477462000 488457328 492396500 495129000 496186000 506109720 508245000 510191250 511633300 521865966 524836740 527197625 538739700 542331298 557430000 561146200 576011000 579290000 590875800 594814972 596827500 610571660 613959960 615495625 618911250 620232500 632637150 639541625 656045925 673375440 673424625 680255000 691213200 695821288 699782320 701432750 718319600 720013750 732685992 738594750 743518715 744279000 763214575 767449950 795770000 813496947 816306000 825215000 837930000 841719300 843516200 864016500 868935000 869776610 874727900 892222458 897899500 915857490 930348750 984793000 990258000 1012219440 1016490000 1020382500 1023266600 1043731932 1049673480 1052149125 1054395250 1077479400 1080020625 1084662596 1093409875 1122292400 1122374375 1152022000 1181751600 1189629944 1193655000 1221143320 1227919920 1230991250 1237822500 1240465000 1265274300 1279083250 1304664915 1312091850 1346849250 1355828245 1360510000 1391642576 1402865500 1440027500 1465371984 1477189500 1487037430 1488558000 1526429150 1534899900 1581592875 1626993894 1650430000 1683438600 1687032400 1728033000 1737870000 1739553220 1749455800 1753581875 1784444916 1795799000 1831714980 1846486875 1860697500 1918624875 1969586000 2040765000 2046533200 2087463864 2099346960 2104298250 2108790500 2154958800 2160041250 2169325192 2174441525 2186819750 2230556145 2244748750 2289643725 2379259888 2387310000 2442286640 2461982500 2475645000 2480930000 2530548600 2558166500 2609329830 2624183700 2635988125 2693698500 2711656490 2805731000 2880055000 2954379000 2974074860 3052858300 3069799800 3163185750 3197708125 3253987788 3280229625 3366877200 3367123125 3456066000 3479106440 3498911600 3507163750 3568889832 3591598000 3663429960 3692973750 3717593575 3721395000 3816072875 3837249750 4067484735 4081530000 4174927728 4208596500 4217581000 4320082500 4338650384 4348883050 4373639500 4461112290 4489497500 4579287450 4609816033 4923965000 4951290000 5061097200 5116333000 5218659660 5248367400 5260745625 5271976250 5387397000 5423312980 5467049375 5611462000 5760110000 5908758000 5948149720 6105716600 6139599600 6326371500 6395416250 6507975576 6523324575 6560459250 6734246250 6779141225 6958212880 7014327500 7137779664 7326859920 7385947500 7435187150 7442790000 7632145750 7674499500 7907964375 8134969470 8417193000 8435162000 8640165000 8697766100 8747279000 8922224580 8978995000 9158574900 9219632066 9593124375 9847930000 10232666000 10437319320 10496734800 10521491250 10543952500 10774794000 10846625960 10872207625 10934098750 11152780725 11448218625 11896299440 12211433200 12652743000 12790832500 13015951152 13046649150 13120918500 13468492500 13558282450 13829448099 14028655000 14771895000 14870374300 15264291500 15348999000 15815928750 16269938940 16401148125 16834386000 17280330000 17395532200 17494558000 17844449160 17957990000 18317149800 18439264132 18587967875 19080364375 19186248750 20337423675 20874638640 21042982500 21087905000 21693251920 21744415250 21868197500 22305561450 22896437250 23049080165 25305486000 25581665000 26093298300 26241837000 26936985000 27116564900 27658896198 28057310000 29543790000 29740748600 30528583000 30697998000 31631857500 32539877880 32616622875 32802296250 33895706125 34791064400 35688898320 36634299600 36878528264 37175935750 38160728750 38372497500 40674847350 42085965000 42175810000 43488830500 43736395000 44611122900 45792874500 46098160330 51163330000 52186596600 52483674000 53873970000 54233129800 54361038125 55317792396 55763903625 57241093125 59481497200 61057166000 63263715000 65079755760 65233245750 65604592500 67791412250 69147240495 73757056528 74351871500 76321457500 76744995000 81349694700 84171930000 86977661000 87472790000 89222245800 91585749000 92196320660 92939839375 101687118375 104373193200 108466259600 108722076250 110635584792 111527807250 114482186250 115245400825 126527430000 130466491500 131209185000 135582824500 138294480990 148703743000 152642915000 153489990000 162699389400 163083114375 169478530625 173955322000 178444491600 183171498000 184392641320 185879678750 203374236750 217444152500 221271169584 223055614500 228964372500 230490801650 260932983000 262418370000 271165649000 276588961980 278819518125 297407486000 305285830000 325398778800 326166228750 338957061250 345736202475 368785282640 371759357500 406748473500 434888305000 446111229000 457928745000 460981603300 508435591875 521865966000 542331298000 553177923960 557639036250 576227004125 652332457500 677914122500 691472404950 743518715000 813496947000 869776610000 892222458000 915857490000 921963206600 1016871183750 1106355847920 1115278072500 1152454008250 1304664915000 1355828245000 1382944809900 1487037430000 1626993894000 1728681012375 1843926413200 2033742367500 2230556145000 2304908016500 2609329830000 2711656490000 2765889619800 2881135020625 3457362024750 4067484735000 4461112290000 4609816033000 5531779239600 5762270041250 6914724049500 8134969470000 8643405061875 9219632066000 11524540082500 13829448099000 17286810123750 23049080165000 27658896198000 34573620247500 46098160330000 69147240495000 138294480990000
- Sum of all divisors σ(n): 500898662719488
- Sum of proper divisors (its aliquot sum) s(n): 362604181729488
- 138294480990000 is an abundant number, because the sum of its proper divisors (362604181729488) is greater than itself. Its abundance is 224309700739488
Bases of 138294480990000
- Binary: 111110111000111001100010110100111101111001100002
- Hexadecimal: 0x7DC73169EF30
- Base-36: 1D0RLVBNLC
Squares and roots of 138294480990000
- 138294480990000 squared (1382944809900002) is 19125363472293471380100000000
- 138294480990000 cubed (1382944809900003) is 2644932215145929869476348514299000000000000
-
The
square root of 138294480990000 is 11759867.3882829139 -
The
cube root of 138294480990000 is 51713.2242458779
Scales and comparisons
How big is 138294480990000?- 138,294,480,990,000 seconds is equal to 4,397,336 years, 37 weeks, 4 days, 20 minutes.
-
To count from 1 to 138,294,480,990,000 would take you about ten million, nine hundred ninety-three thousand, three hundred forty-one 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 138294480990000 cubic inches would be around 4309.4 feet tall.
Recreational maths with 138294480990000
- 138294480990000 backwards is 000099084492831
- The number of decimal digits it has is: 15
- The sum of 138294480990000's digits is 57
- More coming soon!
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The information we have on file for 138294480990000 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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