138315206385720
138,315,206,385,720 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138315206385720 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
138315206385720 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138315206385720:
23 × 32 × 5 × 7 × 132 × 131 × 631 × 3929
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 13 × 131 × 631 × 3929)See below for interesting mathematical facts about the number 138315206385720 from the Numbermatics database.
Names of 138315206385720
- Cardinal: 138315206385720 can be written as One hundred thirty-eight trillion, three hundred fifteen billion, two hundred six million, three hundred eighty-five thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3831520638572 × 1014
Factors of 138315206385720
Divisors of 138315206385720
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 26 28 30 35 36 39 40 42 45 52 56 60 63 65 70 72 78 84 90 91 104 105 117 120 126 130 131 140 156 168 169 180 182 195 210 234 252 260 262 273 280 312 315 338 360 364 390 393 420 455 468 504 507 520 524 546 585 630 631 655 676 728 780 786 819 840 845 910 917 936 1014 1048 1092 1170 1179 1183 1260 1262 1310 1352 1365 1521 1560 1572 1638 1690 1703 1820 1834 1893 1965 2028 2184 2340 2358 2366 2520 2524 2535 2620 2730 2751 3042 3144 3155 3276 3380 3406 3549 3640 3668 3786 3929 3930 4056 4095 4417 4585 4680 4716 4732 5048 5070 5109 5240 5460 5502 5679 5895 5915 6084 6310 6552 6760 6812 7098 7336 7572 7605 7858 7860 8190 8203 8253 8515 8834 9170 9432 9464 9465 10140 10218 10647 10920 11004 11358 11787 11790 11830 11921 12168 12620 13251 13624 13755 14196 15144 15210 15327 15716 15720 16380 16406 16506 17030 17668 17745 18340 18930 19645 20280 20436 21294 22008 22085 22139 22716 23574 23580 23660 23842 24609 25240 25545 26502 27503 27510 28392 28395 30420 30654 31432 32760 32812 33012 34060 35336 35361 35490 35763 36680 37860 39290 39753 40872 41015 41265 42588 44170 44278 45432 47148 47160 47320 47684 49218 51077 51090 53004 53235 55006 55020 56790 57421 58935 59605 60840 61308 65624 66024 66255 66417 68120 70722 70980 71526 73827 75720 76635 78580 79506 82030 82509 82530 82661 85176 88340 88556 94296 95368 98436 102154 102180 106008 106470 106639 107289 110012 110040 110695 113580 114842 117870 119210 122616 123045 132510 132834 137515 141444 141960 143052 147654 153231 153270 154973 157160 159012 164060 165018 165060 165322 172263 176680 176805 177112 178815 196872 198765 199251 204308 204360 212940 213278 214578 220024 221390 227160 229684 235740 238420 246090 247527 247983 255385 265020 265668 275030 282888 286104 287105 295308 306462 306540 309946 318024 319917 328120 330036 330120 330644 332085 344526 353610 357539 357630 369135 397530 398502 408616 412545 413305 425880 426556 429156 442780 459368 459693 464919 471480 476840 492180 495054 495966 510770 514699 516789 530040 531336 533195 536445 550060 574210 578627 590616 612924 613080 619892 639834 660072 661288 664001 664170 689052 707220 715078 715260 738270 743949 746473 766155 774865 795060 797004 825090 826610 853112 858312 861315 885560 919386 929838 959751 984360 990108 991932 996255 1021540 1029398 1033578 1066390 1072617 1072890 1074593 1100120 1148420 1157254 1225848 1237635 1239784 1239915 1279668 1328002 1328340 1378104 1394757 1414440 1430156 1430520 1476540 1487898 1492946 1532310 1544097 1549730 1590120 1594008 1599585 1650180 1653220 1722630 1735881 1787695 1838772 1859676 1919502 1980216 1983864 1992003 1992510 2043080 2058796 2067156 2132780 2145234 2145780 2149186 2239419 2296840 2298465 2314508 2324595 2475270 2479199 2479830 2559336 2573495 2583945 2656004 2656680 2789514 2860312 2893135 2953080 2975796 2985892 3064620 3088194 3099460 3199170 3217851 3223779 3300360 3306440 3320005 3445260 3471762 3575390 3602893 3677544 3719352 3719745 3732365 3839004 3984006 3985020 4117592 4134312 4265560 4290468 4291560 4298372 4478838 4596930 4629016 4632291 4648007 4649190 4798755 4950540 4958398 4959660 5146990 5167890 5207643 5312008 5363085 5372965 5579028 5786270 5951592 5971784 5976009 6129240 6176388 6198920 6398340 6435702 6447558 6640010 6691087 6718257 6890520 6943524 6973785 7150780 7205786 7437597 7439490 7464730 7522151 7678008 7720485 7968012 7970040 8580936 8596744 8679405 8957676 9193860 9264582 9296014 9298380 9597510 9671337 9901080 9916796 9919320 9960015 10293980 10335780 10415286 10726170 10745930 10808679 11158056 11197095 11572540 11952018 12352776 12395995 12796680 12871404 12895116 13280020 13382174 13436514 13887048 13944021 13947570 13969709 14301560 14411572 14875194 14878980 14929460 15044302 15440970 15936024 16089255 16118895 17354393 17358810 17915352 18014465 18387720 18529164 18592028 18596760 19195020 19342674 19833592 19920030 20073261 20587960 20671560 20830572 21452340 21491860 21617358 22312791 22394190 22566453 23145080 23161455 23240035 23904036 24791990 25742808 25790232 26038215 26560040 26764348 26873028 27888042 27895140 27939418 28823144 29750388 29757960 29858920 29880045 30088604 30881940 32178510 32229587 32237790 32426037 33455435 33591285 34708786 34717620 36028930 37058328 37184056 37187985 37610755 38390040 38685348 39840060 40146522 41661144 41832063 41909127 42904680 42983720 43234716 44625582 44788380 45132906 46322910 46480070 46837609 47808072 48356685 49583980 52063179 52076430 53528696 53746056 54043395 55776084 55790280 55878836 59500776 59760090 60177208 60219783 61763880 64357020 64459174 64475580 64852074 66910870 67182570 67699359 69417572 69435240 69720105 69848545 72057860 74375970 75221510 77370696 79680120 80293044 83664126 83818254 86469432 86771965 86984131 89251164 89576760 90265812 92645820 92960140 93675218 96688761 96713370 97787963 99167960 100366305 104126358 104152860 108086790 111552168 111563955 111757672 112832265 119520180 120439566 125727381 128714040 128918348 128951160 129704148 133821740 134365140 135398718 138835144 139440210 139697090 140512827 144115720 148751940 150443020 156189537 160586088 161147935 162130185 167328252 167636508 173543930 173968262 178502328 180531624 185291640 185920280 187350436 193377522 193426740 195575926 200732610 208252716 208305720 209160315 209545635 216173580 223127910 225607109 225664530 234188045 239040360 240879132 251454762 257836696 259408296 260315895 260952393 267643480 268730280 270797436 278880420 279394180 281025654 290066283 293363889 297503880 300886040 301098915 312379074 322295870 324260370 324775069 334656504 335273016 338496795 347087860 347936524 374700872 386755044 386853480 391151852 401465220 416505432 418320630 418984631 419091270 421538481 432347160 434920655 446255820 451214218 451329060 468376090 481758264 483443805 488939815 502909524 520631790 521904786 541594872 557760840 558788360 562051308 580132566 586727778 602197830 608888917 624758148 628636905 644591740 648520740 649550138 676821327 676993590 694175720 695873048 702564135 773510088 780947685 782303704 782857179 802930440 836641260 837969262 838182540 843076962 869841310 880091667 892511640 902428436 902658120 936752180 966887610 974325207 977879630 1005819048 1041263580 1043809572 1124102616 1128035545 1160265132 1173455556 1204395660 1217777834 1249516296 1256953893 1257273810 1289183480 1297041480 1299100276 1304761965 1353642654 1353987180 1405128270 1450331415 1466819445 1561895370 1565714358 1623875345 1673282520 1675938524 1676365080 1686153924 1739682620 1760183334 1804856872 1826666751 1873504360 1933775220 1948650414 1955759260 2030463981 2082527160 2087619144 2094923155 2107692405 2256071090 2273425483 2320530264 2346911112 2408791320 2435555668 2513907786 2514547620 2598200552 2609523930 2707285308 2707974360 2810256540 2900662830 2922975621 2932892417 2933638890 3044444585 3123790740 3131428716 3247750690 3351877048 3372307848 3384106635 3479365240 3520366668 3653333502 3770861679 3867550440 3897300828 3911518520 3914285895 4060927962 4189846310 4215384810 4222075897 4400458335 4512142180 4546850966 4871111336 4871626035 5027815572 5029095240 5219047860 5414570616 5480000253 5620513080 5801325660 5845951242 5865784834 5867277780 6088889170 6247581480 6262857432 6284769465 6495501380 6768213270 6820276449 7040733336 7306667004 7541723358 7794601656 7828571790 8121855924 8379692620 8430769620 8444151794 8798677251 8800916670 9024284360 9093701932 9133333755 9743252070 10055631144 10152319905 10438095720 10960000506 11367127415 11602651320 11691902484 11731569668 11734555560 12177778340 12569538930 12666227691 12991002760 13536426540 13640552898 14613334008 14614878105 14664462085 15083446716 15657143580 16243711848 16759385240 16861539240 16888303588 17597354502 17601833340 18187403864 18266667510 18854308395 19486504140 20304639810 20460829347 21110379485 21920001012 22734254830 23383804968 23463139336 24355556680 25139077860 25332455382 26396031753 27072853080 27281105796 27400001265 29229756210 29328924170 29554531279 30166893432 31314287160 33776607176 34101382245 35194709004 35203666680 36533335020 37708616790 37998683073 38973008280 40609279620 40921658694 42220758970 43840002024 43993386255 45468509660 50278155720 50664910764 52792063506 54562211592 54800002530 54886986661 58459512420 58657848340 59109062558 63331138455 68202764490 70389418008 73066670040 75417233580 75997366146 81218559240 81843317388 84441517940 87986772510 88663593837 90937019320 101329821528 102304146735 105584127012 109600005060 109773973322 116919024840 117315696680 118218125116 126662276910 131980158765 136405528980 147772656395 150834467160 151994732292 163686634776 164660959983 168883035880 175973545020 177327187674 189993415365 204608293470 211168254024 219200010120 219547946644 236436250232 253324553820 263960317530 265990781511 272811057960 274434933305 295545312790 303989464584 329321919966 351947090040 354654375348 379986830730 384208906627 409216586940 439095893288 443317969185 493982879949 506649107640 527920635060 531981563022 548869866610 591090625580 658643839932 709308750696 759973661460 768417813254 818433173880 823304799915 886635938370 987965759898 1055841270120 1063963126044 1097739733220 1152626719881 1182181251160 1317287679864 1329953907555 1519947322920 1536835626508 1646609599830 1773271876740 1921044533135 1975931519796 2127926252088 2195479466440 2305253439762 2469914399745 2659907815110 3073671253016 3293219199660 3457880159643 3546543753480 3842089066270 3951863039592 4610506879524 4939828799490 5319815630220 5763133599405 6586438399320 6915760319286 7684178132540 9221013759048 9879657598980 10639631260440 11526267198810 13831520638572 15368356265080 17289400798215 19759315197960 23052534397620 27663041277144 34578801596430 46105068795240 69157603192860 138315206385720
- Sum of all divisors σ(n): 561578533401600
- Sum of proper divisors (its aliquot sum) s(n): 423263327015880
- 138315206385720 is an abundant number, because the sum of its proper divisors (423263327015880) is greater than itself. Its abundance is 284948120630160
Bases of 138315206385720
- Binary: 111110111001100000001001011111001100000001110002
- Hexadecimal: 0x7DCC04BE6038
- Base-36: 1D114MOTA0
Squares and roots of 138315206385720
- 138315206385720 squared (1383152063857202) is 19131096317524318665419918400
- 138315206385720 cubed (1383152063857203) is 2646121535543464017812681285624961325248000
-
The
square root of 138315206385720 is 11760748.5469981887 -
The
cube root of 138315206385720 is 51715.8074376603
Scales and comparisons
How big is 138315206385720?- 138,315,206,385,720 seconds is equal to 4,397,995 years, 37 weeks, 5 days, 6 hours, 42 minutes.
-
To count from 1 to 138,315,206,385,720 would take you about ten million, nine hundred ninety-four thousand, nine hundred eighty-nine 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 138315206385720 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138315206385720
- 138315206385720 backwards is 027583602513831
- The number of decimal digits it has is: 15
- The sum of 138315206385720's digits is 54
- More coming soon!
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The information we have on file for 138315206385720 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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