138137718292480
138,137,718,292,480 is an even composite number composed of six prime numbers multiplied together.
138137718292480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixteen divisors.
Prime factorization of 138137718292480:
216 × 5 × 19 × 412 × 67 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 19 × 41 × 41 × 67 × 197)See below for interesting mathematical facts about the number 138137718292480 from the Numbermatics database.
Names of 138137718292480
- Cardinal: 138137718292480 can be written as One hundred thirty-eight trillion, one hundred thirty-seven billion, seven hundred eighteen million, two hundred ninety-two thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3813771829248 × 1014
Factors of 138137718292480
Divisors of 138137718292480
- Number of divisors d(n): 816
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 32 38 40 41 64 67 76 80 82 95 128 134 152 160 164 190 197 205 256 268 304 320 328 335 380 394 410 512 536 608 640 656 670 760 779 788 820 985 1024 1072 1216 1273 1280 1312 1340 1520 1558 1576 1640 1681 1970 2048 2144 2432 2546 2560 2624 2680 2747 3040 3116 3152 3280 3362 3743 3895 3940 4096 4288 4864 5092 5120 5248 5360 5494 6080 6232 6304 6365 6560 6724 7486 7790 7880 8077 8192 8405 8576 9728 10184 10240 10496 10720 10988 12160 12464 12608 12730 13120 13199 13448 13735 14972 15580 15760 16154 16384 16810 17152 18715 19456 20368 20480 20992 21440 21976 24320 24928 25216 25460 26240 26398 26896 27470 29944 31160 31520 31939 32308 32768 33620 34304 37430 38912 40385 40736 40960 41984 42880 43952 48640 49856 50432 50920 52193 52480 52796 53792 54940 59888 62320 63040 63878 64616 65536 65995 67240 68608 74860 77824 80770 81472 81920 83968 85760 87904 97280 99712 100864 101840 104386 104960 105592 107584 109880 112627 119776 124640 126080 127756 129232 131990 134480 137216 149720 153463 155648 159695 161540 162944 163840 167936 171520 175808 194560 199424 201728 203680 208772 209920 211184 215168 219760 225254 239552 249280 250781 252160 255512 258464 260965 263980 268960 274432 299440 306926 311296 319390 323080 325888 327680 331157 335872 343040 351616 389120 398848 403456 407360 417544 419840 422368 430336 439520 450508 479104 498560 501562 504320 511024 516928 521930 527960 537920 541159 548864 563135 598880 613852 622592 638780 646160 651776 662314 671744 686080 703232 767315 778240 797696 806912 814720 835088 839680 844736 860672 879040 901016 958208 997120 1003124 1008640 1022048 1033856 1043860 1055920 1075840 1082318 1097728 1126270 1197760 1227704 1245184 1253905 1277560 1292320 1303552 1324628 1343488 1372160 1406464 1534630 1556480 1595392 1613824 1629440 1655785 1670176 1679360 1689472 1721344 1758080 1802032 1916416 1994240 2006248 2017280 2044096 2067712 2087720 2111840 2139913 2151680 2164636 2195456 2252540 2395520 2455408 2507810 2555120 2584640 2607104 2649256 2686976 2705795 2744320 2812928 3069260 3112960 3190784 3227648 3258880 3311570 3340352 3358720 3378944 3442688 3516160 3604064 3832832 3988480 4012496 4034560 4088192 4135424 4175440 4223680 4279826 4303360 4329272 4390912 4505080 4791040 4910816 5015620 5110240 5169280 5214208 5298512 5411590 5488640 5625856 6138520 6225920 6291983 6381568 6455296 6517760 6623140 6680704 6717440 6757888 6885376 7032320 7208128 7665664 7976960 8024992 8069120 8176384 8270848 8350880 8447360 8559652 8606720 8658544 9010160 9582080 9821632 10031240 10220480 10282021 10338560 10428416 10597024 10699565 10823180 10977280 11251712 12277040 12583966 12763136 12910592 13035520 13246280 13361408 13434880 13515776 13770752 14064640 14416256 15331328 15953920 16049984 16138240 16352768 16541696 16701760 16894720 17119304 17213440 17317088 18020320 19164160 19643264 20062480 20440960 20564042 20677120 20856832 21194048 21399130 21646360 21954560 22187519 22503424 24554080 25167932 25526272 26071040 26492560 26722816 27031552 27541504 28129280 28832512 30662656 31459915 31907840 32099968 32276480 32705536 33083392 33403520 33789440 34238608 34426880 34634176 36040640 38328320 39286528 40124960 40881920 41128084 41354240 41713664 42388096 42798260 43292720 44375038 45006848 49108160 50335864 51052544 51410105 52142080 52985120 53445632 54063104 55083008 56258560 57665024 61325312 62919830 63815680 64199936 64552960 65411072 66166784 66807040 67578880 68477216 68853760 69268352 72081280 76656640 78573056 80249920 81763840 82256168 82708480 83427328 84776192 85596520 86585440 88750076 90013696 98216320 100671728 102820210 104284160 105970240 106891264 108126208 110166016 110937595 112517120 115330048 122650624 125839660 127631360 128399872 130822144 132333568 133614080 135157760 136954432 137707520 138536704 144162560 153313280 157146112 160499840 163527680 164512336 165416960 169552384 171193040 173170880 177500152 180027392 196432640 201343456 205640420 208568320 211940480 213782528 216252416 221875190 225034240 230660096 245301248 251679320 255262720 256799744 261644288 264667136 267228160 270315520 273908864 275415040 277073408 288325120 306626560 314292224 320999680 327055360 329024672 330833920 339104768 342386080 346341760 355000304 392865280 402686912 411280840 417136640 421562861 423880960 427565056 432504832 443750380 450068480 461320192 503358640 513599488 523288576 529334272 534456320 540631040 547817728 550830080 554146816 576650240 613253120 628584448 641999360 654110720 658049344 661667840 678209536 684772160 692683520 710000608 785730560 805373824 822561680 843125722 847761920 855130112 865009664 887500760 900136960 922640384 1006717280 1027198976 1046577152 1068912640 1081262080 1095635456 1108293632 1153300480 1226506240 1257168896 1283998720 1308221440 1316098688 1323335680 1356419072 1369544320 1385367040 1420001216 1571461120 1610747648 1645123360 1686251444 1695523840 1710260224 1775001520 1845280768 2013434560 2054397952 2093154304 2107814305 2137825280 2162524160 2191270912 2216587264 2306600960 2514337792 2567997440 2616442880 2632197376 2646671360 2712838144 2739088640 2770734080 2840002432 3142922240 3221495296 3290246720 3372502888 3391047680 3420520448 3550003040 3690561536 4026869120 4108795904 4215628610 4275650560 4325048320 4382541824 4433174528 4613201920 5028675584 5135994880 5232885760 5264394752 5425676288 5478177280 5541468160 5680004864 6285844480 6442990592 6580493440 6745005776 6782095360 7100006080 7381123072 8053738240 8217591808 8431257220 8551301120 8765083648 8866349056 9226403840 10057351168 10271989760 10465771520 10528789504 10851352576 10956354560 11082936320 11360009728 12571688960 12885981184 13160986880 13490011552 13564190720 14200012160 16107476480 16435183616 16862514440 17102602240 17530167296 17732698112 18452807680 20543979520 21057579008 21702705152 21912709120 22165872640 22720019456 25143377920 25771962368 26321973760 26980023104 27128381440 28400024320 32214952960 33725028880 35060334592 35465396224 36905615360 41087959040 42115158016 43825418240 44331745280 45440038912 50286755840 51543924736 52643947520 53960046208 54256762880 56800048640 64429905920 67450057760 70120669184 82175918080 84230316032 87650836480 88663490560 90880077824 103087849472 105287895040 107920092416 108513525760 113600097280 128859811840 134900115520 140241338368 168460632064 175301672960 177326981120 181760155648 206175698944 210575790080 215840184832 227200194560 257719623680 269800231040 336921264128 350603345920 363520311296 412351397888 421151580160 431680369664 454400389120 515439247360 539600462080 673842528256 701206691840 727040622592 842303160320 863360739328 908800778240 1030878494720 1079200924160 1454081245184 1684606320640 1726721478656 1817601556480 2061756989440 2158401848320 3369212641280 3453442957312 3635203112960 4316803696640 6906885914624 7270406225920 8633607393280 13813771829248 17267214786560 27627543658496 34534429573120 69068859146240 138137718292480
- Sum of all divisors σ(n): 364877630821440
- Sum of proper divisors (its aliquot sum) s(n): 226739912528960
- 138137718292480 is an abundant number, because the sum of its proper divisors (226739912528960) is greater than itself. Its abundance is 88602194236480
Bases of 138137718292480
- Binary: 111110110100010101100011010000100000000000000002
- Hexadecimal: 0x7DA2B1A10000
- Base-36: 1CYRLAV01S
Squares and roots of 138137718292480
- 138137718292480 squared (1381377182924802) is 19082029215052563606824550400
- 138137718292480 cubed (1381377182924803) is 2635947976157804291515166422356031700992000
-
The
square root of 138137718292480 is 11753200.3425654239 -
The
cube root of 138137718292480 is 51693.6771424765
Scales and comparisons
How big is 138137718292480?- 138,137,718,292,480 seconds is equal to 4,392,352 years, 7 weeks, 6 days, 22 hours, 34 minutes, 40 seconds.
-
To count from 1 to 138,137,718,292,480 would take you about ten million, nine hundred eighty thousand, eight hundred eighty 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 138137718292480 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138137718292480
- 138137718292480 backwards is 084292817731831
- 138137718292480 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138137718292480's digits is 64
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138137718292480 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 138137718292480 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138137718292480/
Chicago style:
Numbermatics. 2024. "Number 138137718292480 - Facts about the integer". https://numbermatics.com/n/138137718292480/
The information we have on file for 138137718292480 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 138137718292480, math, Factors of 138137718292480, curriculum, school, college, exams, university, Prime factorization of 138137718292480, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred thirty-seven billion, seven hundred eighteen million, two hundred ninety-two thousand, four hundred eighty.