138099947078016
138,099,947,078,016 is an even composite number composed of six prime numbers multiplied together.
What does the number 138099947078016 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
138099947078016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138099947078016:
27 × 32 × 7 × 11 × 193 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 19 × 19 × 19 × 61 × 61 × 61)See below for interesting mathematical facts about the number 138099947078016 from the Numbermatics database.
Names of 138099947078016
- Cardinal: 138099947078016 can be written as One hundred thirty-eight trillion, ninety-nine billion, nine hundred forty-seven million, seventy-eight thousand and sixteen.
Scientific notation
- Scientific notation: 1.38099947078016 × 1014
Factors of 138099947078016
Divisors of 138099947078016
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 28 32 33 36 38 42 44 48 56 57 61 63 64 66 72 76 77 84 88 96 99 112 114 122 126 128 132 133 144 152 154 168 171 176 183 192 198 209 224 228 231 244 252 264 266 288 304 308 336 342 352 361 366 384 396 399 418 427 448 456 462 488 504 528 532 549 576 608 616 627 671 672 684 693 704 722 732 792 798 836 854 896 912 924 976 1008 1056 1064 1083 1098 1152 1159 1197 1216 1232 1254 1281 1342 1344 1368 1386 1408 1444 1463 1464 1584 1596 1672 1708 1824 1848 1881 1952 2013 2016 2112 2128 2166 2196 2318 2394 2432 2464 2508 2527 2562 2684 2688 2736 2772 2888 2926 2928 3168 3192 3249 3344 3416 3477 3648 3696 3721 3762 3843 3904 3971 4026 4032 4224 4256 4332 4389 4392 4636 4697 4788 4928 5016 5054 5124 5368 5472 5544 5776 5852 5856 6039 6336 6384 6498 6688 6832 6859 6954 7296 7392 7442 7524 7581 7686 7808 7942 8052 8064 8113 8512 8664 8778 8784 9272 9394 9576 9856 10032 10108 10248 10431 10736 10944 11088 11163 11552 11704 11712 11913 12078 12672 12749 12768 12996 13167 13376 13664 13718 13908 14091 14784 14884 15048 15162 15372 15884 16104 16226 17024 17328 17556 17568 18544 18788 19152 20064 20216 20496 20577 20862 21472 21888 22021 22176 22326 22743 23104 23408 23424 23826 24156 24339 25498 25536 25992 26047 26334 26752 27328 27436 27797 27816 28182 29568 29768 30096 30324 30744 31768 32208 32452 33489 34656 35112 35136 35739 37088 37576 38247 38304 40128 40432 40931 40992 41154 41724 42273 42944 44042 44352 44652 45486 46208 46816 47652 48013 48312 48678 50996 51072 51984 52094 52668 54656 54872 55594 55632 56364 59536 60192 60648 61488 61731 63536 64416 64904 66063 66978 69312 70224 70272 70699 71478 73017 74176 75152 75449 76494 76608 78141 80256 80864 81862 81984 82308 83391 83448 84546 85888 88084 88704 89243 89304 90972 93632 95304 96026 96624 97356 101992 103968 104188 105336 109744 111188 111264 112728 114741 119072 120384 121296 122793 122976 123462 127072 128832 129808 132126 133956 138624 140448 141398 142956 144039 146034 148352 150304 150898 152988 153216 154147 156282 161728 163724 163968 164616 166782 166896 169092 176168 178486 178608 181944 187264 190608 192052 193248 194712 198189 203984 207936 208376 210672 212097 219488 222376 222528 225456 226347 226981 229482 234423 238144 240768 242231 242592 245586 245952 246924 250173 254144 257664 259616 264252 267729 267912 280896 282796 285912 286517 288078 292068 300608 301796 305976 308294 312564 323456 327448 329232 333564 333792 338184 352336 356972 357216 363888 368379 381216 384104 386496 389424 396378 407968 415872 416752 418399 421344 424194 432117 438976 444752 445056 450912 452694 453962 458964 462441 468846 476288 484462 485184 491172 491904 493848 494893 500346 508288 519232 528143 528504 535458 535824 561792 565592 571824 573034 576156 584136 601216 603592 611952 616588 625128 636291 654896 658464 667128 667584 676368 679041 680943 704672 713944 714432 726693 727776 736758 762432 768208 772992 777689 778848 792756 803187 815936 833504 836798 842688 848388 859551 864234 877952 889504 901824 905388 907924 917928 924882 937692 968924 970368 982344 987696 989786 1000692 1038464 1056286 1057008 1070916 1071648 1131184 1143648 1146068 1152312 1168272 1207184 1223904 1233176 1250256 1255197 1272582 1309792 1316928 1334256 1335168 1343281 1352736 1358082 1361886 1387323 1409344 1427888 1428864 1453386 1455552 1473516 1484679 1524864 1536416 1555378 1557696 1584429 1585512 1588867 1606374 1631872 1667008 1673596 1685376 1695617 1696776 1719102 1728468 1779008 1803648 1810776 1815848 1835856 1849764 1875384 1937848 1964688 1975392 1979572 2001384 2042829 2112572 2114016 2141832 2143296 2180079 2262368 2287296 2292136 2304624 2333067 2336544 2414368 2447808 2466352 2496791 2500512 2510394 2545164 2578653 2619584 2633856 2668512 2686562 2705472 2716164 2723772 2774646 2818688 2855776 2906772 2911104 2928793 2947032 2969358 3072832 3110756 3115392 3168858 3171024 3177734 3212748 3334016 3347192 3391234 3393552 3438204 3456936 3558016 3621552 3631696 3671712 3699528 3750768 3765591 3875696 3929376 3950784 3959144 4002768 4029843 4085658 4225144 4228032 4283664 4286592 4312639 4360158 4454037 4524736 4574592 4584272 4602389 4609248 4666134 4673088 4753287 4766601 4828736 4895616 4932704 4993582 5001024 5020788 5086851 5090328 5157306 5239168 5337024 5373124 5410944 5432328 5443823 5447544 5549292 5711552 5813544 5857586 5894064 5938716 6145664 6221512 6337716 6342048 6355468 6425496 6694384 6782468 6787104 6876408 6913872 6999201 7243104 7263392 7343424 7399056 7490373 7501536 7531182 7751392 7858752 7901568 7918288 8005536 8059686 8171316 8450288 8456064 8567328 8625278 8720316 8786379 8908074 9049472 9168544 9204778 9218496 9332268 9346176 9402967 9506574 9533202 9657472 9865408 9987164 10002048 10041576 10173702 10180656 10314612 10674048 10746248 10864656 10887646 10895088 11098584 11423104 11627088 11715172 11788128 11877432 12089529 12443024 12675432 12684096 12710936 12850992 12937917 13388768 13564936 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152531232 153134034 155255004 157297833 159794624 160665216 162779232 163880282 165033792 165686004 169253406 171939968 174202336 177313092 177577344 178656373 179768952 181130838 187442752 189756116 190038912 193300338 193432464 195977628 202806912 203374976 204178712 206865274 207006672 209730444 210873096 217038976 220914672 223974432 225671208 228796848 229701051 236417456 239691936 240997824 241507784 244168848 245820423 257733784 257909952 261303504 261482112 265969638 271696257 276008896 279050112 279640592 280745729 281164128 284634174 285058368 289950507 294552896 298632576 300894944 304210368 305062464 306268068 310297911 310510008 314595666 319589248 325558464 327760564 330067584 331372008 332073203 338506812 348404672 354626184 357312746 359537904 362261676 374885504 379512232 386600676 386864928 391955256 408357424 413730548 414013344 419460888 421746192 426951261 441829344 447948864 451342416 457593696 459402102 472834912 479383872 481995648 483015568 488337696 491640846 515467568 515819904 522607008 531939276 535969119 543392514 552017792 559281184 561491458 562328256 569268348 570116736 573580987 579901014 589105792 601789888 608420736 610124928 612536136 620595822 621020016 629191332 651116928 655521128 662744016 664146406 677013624 696809344 709252368 714625492 719075808 724523352 737461269 759024464 773201352 773729856 783910512 816714848 827461096 828026688 838921776 842237187 843492384 853902522 883658688 895897728 901341551 902684832 915187392 918804204 930893733 945669824 958767744 966031136 976675392 983281692 996219609 1030935136 1045214016 1063878552 1071938238 1086785028 1118562368 1122982916 1124656512 1138536696 1147161974 1159802028 1203579776 1225072272 1241191644 1242040032 1258382664 1311042256 1325488032 1328292812 1354027248 1418504736 1429250984 1438151616 1449046704 1474922538 1518048928 1546402704 1547459712 1556862679 1567821024 1607907357 1633429696 1654922192 1656053376 1677843552 1684474374 1686984768 1707805044 1720742961 1767317376 1802683102 1805369664 1830374784 1837608408 1861787466 1891339648 1932062272 1953350784 1965220103 1966563384 1992439218 2061870272 2090428032 2127757104 2143876476 2173570056 2237124736 2245965832 2277073392 2294323948 2319604056 2450144544 2482383288 2484080064 2516765328 2526711561 2622084512 2650976064 2656585624 2704024653 2708054496 2837009472 2858501968 2876303232 2898093408 2949845076 2988658827 3036097856 3092805408 3113725358 3135642048 3215814714 3266859392 3309844384 3355687104 3368948748 3373969536 3415610088 3441485922 3605366204 3610739328 3675216816 3723574932 3864124544 3930440206 3933126768 3984878436 4123740544 4255514208 4287752952 4347140112 4491931664 4554146784 4588647896 4639208112 4670588037 4900289088 4964766576 4968160128 5033530656 5053423122 5162228883 5244169024 5301952128 5313171248 5408049306 5416108992 5674018944 5717003936 5796186816 5895660309 5899690152 5977317654 6072195712 6185610816 6227450716 6271284096 6309390857 6431629428 6619688768 6711374208 6737897496 6831220176 6882971844 7210732408 7350433632 7447149864 7860880412 7866253536 7969756872 8112073959 8511028416 8575505904 8694280224 8983863328 9108293568 9177295792 9278416224 9341176074 9800578176 9929533152 10067061312 10106846244 10324457766 10488338048 10626342496 10816098612 10832217984 10898038753 11434007872 11592373632 11791320618 11799380304 11954635308 12371221632 12454901432 12618781714 12863258856 13239377536 13475794992 13662440352 13765943688 14011764111 14421464816 14700867264 14894299728 15721760824 15732507072 15939513744 16224147918 17022056832 17125489469 17151011808 17388560448 17686980927 17967726656 18216587136 18354591584 18556832448 18682352148 18928172571 19859066304 20134122624 20213692488 20648915532 21252684992 21632197224 21796077506 22868015744 23582641236 23598760608 23909270616 24909802864 25237563428 25726517712 26951589984 27324880704 27531887376 28023528222 28842929632 29401734528 29788599456 31443521648 31465014144 31879027488 32448295836 32694116259 34250978938 34302023616 34777120896 35373961854 35935453312 36709183168 37113664896 37364704296 37856345142 39718132608 40427384976 41297831064 42505369984 43264394448 43592155012 47165282472 47197521216 47818541232 49819605728 50475126856 51376468407 51453035424 53903179968 54649761408 55063774752 56047056444 56784517713 57685859264 59577198912 62887043296 63758054976 64896591672 65388232518 68501957876 68604047232 70747923708 73418366336 74729408592 75712690284 80854769952 82595662128 86528788896 87184310024 94330564944 94395042432 95637082464 98082348777 99639211456 100950253712 102752936814 102906070848 107806359936 110127549504 112094112888 113569035426 115371718528 119154397824 119878426283 125774086592 127516109952 129793183344 130776465036 137003915752 141495847416 149458817184 151425380568 154129405221 161709539904 165191324256 173057577792 174368620048 188661129888 191274164928 196164697554 199278422912 201900507424 205505873628 205812141696 220255099008 224188225776 227138070852 239756852566 251548173184 259586366688 261552930072 274007831504 282991694832 298917634368 302850761136 308258810442 323419079808 330382648512 346115155584 348737240096 359635278849 377322259776 382548329856 392329395108 403801014848 411011747256 448376451552 454276141704 479513705132 519172733376 523105860144 548015663008 565983389664 597835268736 605701522272 616517620884 660765297024 697474480192 719270557698 754644519552 784658790216 807602029696 822023494512 896752903104 908552283408 959027410264 1038345466752 1046211720288 1078905836547 1096031326016 1131966779328 1211403044544 1233035241768 1394948960384 1438541115396 1569317580432 1644046989024 1793505806208 1817104566816 1918054820528 2092423440576 2157811673094 2192062652032 2263933558656 2422806089088 2466070483536 2877082230792 3138635160864 3288093978048 3634209133632 3836109641056 4184846881152 4315623346188 4932140967072 5754164461584 6277270321728 6576187956096 7268418267264 7672219282112 8631246692376 9864281934144 11508328923168 12554540643456 15344438564224 17262493384752 19728563868288 23016657846336 34524986769504 46033315692672 69049973539008 138099947078016
- Sum of all divisors σ(n): 531693548006400
- Sum of proper divisors (its aliquot sum) s(n): 393593600928384
- 138099947078016 is an abundant number, because the sum of its proper divisors (393593600928384) is greater than itself. Its abundance is 255493653850368
Bases of 138099947078016
- Binary: 111110110011001111001100100101000000001100000002
- Hexadecimal: 0x7D99E64A0180
- Base-36: 1CYA8MUSG0
Squares and roots of 138099947078016
- 138099947078016 squared (1380999470780162) is 19071595382950819936390496256
- 138099947078016 cubed (1380999470780163) is 2633786313078842522218362072414739387908096
-
The
square root of 138099947078016 is 11751593.3846443139 -
The
cube root of 138099947078016 is 51688.9651517225
Scales and comparisons
How big is 138099947078016?- 138,099,947,078,016 seconds is equal to 4,391,151 years, 7 weeks, 4 days, 2 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,099,947,078,016 would take you about ten million, nine hundred seventy-seven thousand, eight hundred seventy-seven 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 138099947078016 cubic inches would be around 4307.4 feet tall.
Recreational maths with 138099947078016
- 138099947078016 backwards is 610870749990831
- 138099947078016 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138099947078016's digits is 72
- More coming soon!
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"Number 138099947078016 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 138099947078016 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138099947078016/
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The information we have on file for 138099947078016 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!
Keywords: Divisors of 138099947078016, math, Factors of 138099947078016, curriculum, school, college, exams, university, Prime factorization of 138099947078016, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, ninety-nine billion, nine hundred forty-seven million, seventy-eight thousand and sixteen.