138136919806080
138,136,919,806,080 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138136919806080 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
138136919806080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138136919806080:
27 × 35 × 5 × 13 × 19 × 313 × 11489
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 19 × 313 × 11489)See below for interesting mathematical facts about the number 138136919806080 from the Numbermatics database.
Names of 138136919806080
- Cardinal: 138136919806080 can be written as One hundred thirty-eight trillion, one hundred thirty-six billion, nine hundred nineteen million, eight hundred six thousand and eighty.
Scientific notation
- Scientific notation: 1.3813691980608 × 1014
Factors of 138136919806080
Divisors of 138136919806080
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 27 30 32 36 38 39 40 45 48 52 54 57 60 64 65 72 76 78 80 81 90 95 96 104 108 114 117 120 128 130 135 144 152 156 160 162 171 180 190 192 195 208 216 228 234 240 243 247 260 270 285 288 304 312 313 320 324 342 351 360 380 384 390 405 416 432 456 468 480 486 494 513 520 540 570 576 585 608 624 626 640 648 684 702 720 741 760 780 810 832 855 864 912 936 939 960 972 988 1026 1040 1053 1080 1140 1152 1170 1215 1216 1235 1248 1252 1296 1368 1404 1440 1482 1520 1539 1560 1565 1620 1664 1710 1728 1755 1824 1872 1878 1920 1944 1976 2052 2080 2106 2160 2223 2280 2340 2430 2432 2470 2496 2504 2565 2592 2736 2808 2817 2880 2964 3040 3078 3120 3130 3159 3240 3420 3456 3510 3648 3705 3744 3756 3888 3952 4069 4104 4160 4212 4320 4446 4560 4617 4680 4695 4860 4940 4992 5008 5130 5184 5265 5472 5616 5634 5760 5928 5947 6080 6156 6240 6260 6318 6480 6669 6840 7020 7296 7410 7488 7512 7695 7776 7904 8138 8208 8320 8424 8451 8640 8892 9120 9234 9360 9390 9720 9880 10016 10260 10368 10530 10944 11115 11232 11268 11489 11856 11894 12160 12207 12312 12480 12520 12636 12960 13338 13680 14040 14085 14820 14976 15024 15390 15552 15795 15808 16276 16416 16848 16902 17280 17784 17841 18240 18468 18720 18780 19440 19760 20007 20032 20345 20520 21060 21888 22230 22464 22536 22978 23085 23712 23788 24414 24624 24960 25040 25272 25353 25920 26676 27360 28080 28170 29640 29735 30048 30780 31104 31590 31616 32552 32832 33345 33696 33804 34467 35568 35682 36480 36621 36936 37440 37560 38880 39520 40014 40064 40690 41040 42120 42255 44460 44928 45072 45956 46170 47424 47576 48828 49248 50080 50544 50706 51840 53352 53523 54720 56160 56340 57445 59280 59470 60021 60096 61035 61560 63180 65104 65664 66690 67392 67608 68934 71136 71364 73242 73872 74880 75120 76059 77311 77760 79040 80028 81380 82080 84240 84510 88920 89205 90144 91912 92340 94848 95152 97656 98496 100035 100160 101088 101412 103401 106704 107046 109440 109863 112320 112680 114890 118560 118940 120042 120192 122070 123120 126360 126765 130208 133380 134784 135216 137868 142272 142728 146484 147744 149357 150240 152118 154622 155520 158080 160056 160569 162760 164160 168480 169020 172335 177840 178410 180288 183105 183824 184680 190304 195312 196992 200070 200320 202176 202824 206802 213408 214092 218291 219726 224640 225360 229780 231933 237120 237880 240084 244140 246240 252720 253530 260416 266760 267615 270432 275736 284544 285456 292968 295488 298714 300105 300480 304236 309244 310203 320112 321138 325520 328320 329589 336960 338040 344670 355680 356820 360576 366210 367648 369360 380295 380608 386555 390624 400140 404352 405648 413604 426816 428184 436582 439452 448071 450720 459560 463866 474240 475760 480168 481707 488280 492480 505440 507060 517005 520832 533520 535230 540864 549315 551472 570912 585936 590976 597428 600210 600960 608472 618488 620406 640224 642276 651040 654873 659178 673920 676080 689340 695799 711360 713640 732420 735296 738720 746785 760590 761216 773110 781248 800280 802845 811296 827208 853632 856368 873164 878904 896142 901440 919120 927732 930609 951520 960336 963414 976560 984960 988767 1010880 1014120 1034010 1067040 1070460 1081728 1091455 1098630 1102944 1141824 1159665 1171872 1194856 1200420 1216944 1236976 1240812 1280448 1284552 1302080 1309746 1318356 1344213 1352160 1378680 1391598 1422720 1427280 1445121 1464840 1470592 1477440 1493570 1521180 1546220 1551015 1562496 1600560 1605690 1622592 1647945 1654416 1712736 1746328 1757808 1792284 1802880 1838240 1855464 1861218 1903040 1920672 1926828 1953120 1964619 1977534 2021760 2028240 2068020 2087397 2134080 2140920 2182910 2197260 2205888 2240355 2283648 2319330 2343744 2389712 2400840 2408535 2433888 2473952 2481624 2560896 2569104 2604160 2619492 2636712 2688426 2704320 2757360 2783196 2791827 2837783 2854560 2890242 2929680 2954880 2987140 3042360 3092440 3102030 3201120 3211380 3245184 3274365 3295890 3308832 3425472 3478995 3492656 3515616 3584568 3596057 3676480 3710928 3722436 3806080 3841344 3853656 3906240 3929238 3955068 4032639 4056480 4136040 4174794 4268160 4281840 4365820 4394520 4411776 4480710 4638660 4653045 4687488 4779424 4801680 4817070 4867776 4943835 4947904 4963248 5138208 5238984 5273424 5376852 5408640 5514720 5566392 5583654 5675566 5709120 5780484 5859360 5893857 5974280 6084720 6184880 6204060 6262191 6402240 6422760 6548730 6591780 6617664 6721065 6850944 6957990 6985312 7031232 7169136 7192114 7225605 7352960 7421856 7444872 7682688 7707312 7812480 7858476 7910136 8065278 8112960 8272080 8349588 8513349 8563680 8731640 8789040 8961420 9277320 9306090 9558848 9603360 9634140 9735552 9823095 9887670 9895808 9926496 10276416 10436985 10477968 10546848 10753704 10788171 11029440 11132784 11167308 11351132 11418240 11560968 11718720 11787714 11948560 12097917 12169440 12369760 12408120 12524382 12804480 12845520 13097460 13183560 13235328 13442130 13915980 13959135 13970624 14062464 14188915 14338272 14384228 14451210 14843712 14889744 15414624 15716952 15820272 16130556 16225920 16544160 16699176 17026698 17127360 17463280 17578080 17681571 17922840 17980285 18554640 18612180 18786573 19117696 19206720 19268280 19646190 19775340 19852992 20163195 20552832 20873970 20955936 21093696 21507408 21576342 22058880 22265568 22334616 22702264 23121936 23437440 23575428 23897120 24195834 24338880 24739520 24816240 25048764 25540047 25691040 26194920 26367120 26884260 27831960 27918270 27941248 28377830 28676544 28768456 28902420 29469285 29687424 29779488 30829248 31310955 31433904 31640544 32261112 32364513 33088320 33398352 34053396 34254720 34926560 35156160 35363142 35845680 35960570 36293751 37109280 37224360 37573146 38413440 38536560 39292380 39550680 39705984 40326390 41747940 41911872 42187392 42566745 43014816 43152684 44531136 44669232 45404528 46243872 46748741 47150856 47794240 48391668 48677760 49479040 49632480 50097528 51080094 51382080 52389840 52734240 53044713 53768520 53940855 55663920 55836540 56755660 57353088 57536912 57804840 58938570 59558976 60489585 61658496 62621910 62867808 63281088 64522224 64729026 66176640 66796704 68106792 68325083 69853120 70312320 70726284 71691360 71921140 72587502 74218560 74448720 75146292 76620141 77073120 78584760 79101360 80652780 83495880 83823744 85133490 86029632 86305368 88407855 89062272 89338464 90809056 92487744 93497482 93932865 94301712 95588480 96783336 97093539 99264960 100195056 102160188 102764160 104779680 105468480 106089426 107537040 107881710 111327840 111673080 113511320 115073824 115609680 117877140 119117952 120979170 125243820 125735616 126562176 127700235 129044448 129458052 133593408 136213584 136650166 139706240 140246223 141452568 143382720 143842280 145175004 148437120 148897440 150292584 153240282 154146240 157169520 158202720 161305560 161822565 166991760 170266980 172059264 172610736 176815710 178676928 181468755 181618112 184975488 186994964 187865730 188603424 193566672 194187078 198529920 200390112 204320376 204975249 209559360 210936960 212178852 215074080 215763420 222655680 223346160 227022640 229860423 230147648 231219360 233743705 235754280 241958340 250487640 251471232 255400470 258088896 258916104 265223565 267186816 272427168 273300332 280492446 282905136 286765440 287684560 290350008 291280617 297794880 300585168 306480564 308292480 314339040 316405440 322611120 323645130 333983520 340533960 341625415 345221472 353631420 357353856 362937510 363236224 373989928 375731460 377206848 383100705 387133344 388374156 400780224 408640752 409950498 419118720 420738669 424357704 430148160 431526840 445311360 446692320 454045280 459720846 460295296 462438720 467487410 471508560 483916680 485467695 500975280 510800940 516177792 517832208 530447130 544854336 546600664 560984892 565810272 575369120 580700016 582561234 595589760 601170336 612961128 614925747 628678080 632810880 645222240 647290260 667967040 681067920 683250830 689581269 690442944 701231115 707262840 725875020 747979856 751462920 754413696 766201410 774266688 776748312 801560448 817281504 819900996 841477338 848715408 860296320 863053680 873841851 888226079 893384640 908090560 919441692 924877440 934974820 943017120 967833360 970935390 1001950560 1021601880 1024876245 1035664416 1060894260 1089708672 1093201328 1121969784 1131620544 1149302115 1150738240 1161400032 1165122468 1202340672 1225922256 1229851494 1257356160 1262216007 1290444480 1294580520 1335934080 1362135840 1366501660 1379162538 1380885888 1402462230 1414525680 1451750040 1456403085 1495959712 1502925840 1532402820 1548533376 1553496624 1634563008 1639801992 1682954676 1697430816 1726107360 1747683702 1776452158 1786769280 1816181120 1838883384 1844777241 1869949640 1886034240 1935666720 1941870780 2003901120 2043203760 2049752490 2071328832 2103693345 2121788520 2186402656 2243939568 2263241088 2298604230 2301476480 2322800064 2330244936 2404681344 2451844512 2459702988 2524432014 2580888960 2589161040 2664678237 2724271680 2733003320 2758325076 2804924460 2829051360 2903500080 2912806170 2991919424 3005851680 3064805640 3074628735 3106993248 3269126016 3279603984 3365909352 3394861632 3447906345 3452214720 3495367404 3552904316 3677766768 3689554482 3739899280 3772068480 3786648021 3871333440 3883741560 4007802240 4086407520 4099504980 4142657664 4207386690 4243577040 4369209255 4372805312 4441130395 4487879136 4597208460 4645600128 4660489872 4903689024 4919405976 5048864028 5178322080 5329356474 5448543360 5466006640 5516650152 5534331723 5609848920 5658102720 5807000160 5825612340 5983838848 6011703360 6129611280 6149257470 6213986496 6311080035 6559207968 6731818704 6789723264 6895812690 6904429440 6990734808 7105808632 7355533536 7379108964 7479798560 7573296042 7742666880 7767483120 7994034711 8172815040 8199009960 8414773380 8487154080 8738418510 8745610624 8882260790 8975758272 9194416920 9223886205 9320979744 9807378048 9838811952 10097728056 10356644160 10658712948 10932013280 11033300304 11068663446 11219697840 11316205440 11359944063 11614000320 11651224680 12023406720 12259222560 12298514940 12427972992 12622160070 13118415936 13323391185 13463637408 13791625380 13981469616 14211617264 14711067072 14758217928 14959597120 15146592084 15534966240 15988069422 16345630080 16398019920 16602995169 16829546760 16974308160 17476837020 17764521580 17951516544 18388833840 18447772410 18641959488 18933240105 19677623904 20195456112 20713288320 21317425896 21864026560 22066600608 22137326892 22439395680 22719888126 23228000640 23302449360 23982104133 24518445120 24597029880 25244320140 26236831872 26646782370 26927274816 27583250760 27671658615 27962939232 28423234528 29422134144 29516435856 29919194240 30293184168 31069932480 31976138844 32796039840 33205990338 33659093520 33948616320 34953674040 35529043160 36777667680 36895544820 37283918976 37866480210 39355247808 39970173555 40390912224 42634851792 43728053120 44133201216 44274653784 44878791360 45439776252 46604898720 47964208266 49036890240 49194059760 50488640280 53293564740 53854549632 55166501520 55343317230 55925878464 56799720315 56846469056 59032871712 60586368336 62139864960 63952277688 65592079680 66411980676 67318187040 69907348080 71058086320 71946312399 73555335360 73791089640 75732960420 78710495616 79940347110 80781824448 83014975845 85269703584 88266402432 88549307568 89757582720 90879552504 93209797440 95928416532 98388119520 100977280560 106587129480 110333003040 110686634460 111851756928 113599440630 113692938112 118065743424 119910520665 121172736672 127904555376 131184159360 132823961352 134636374080 139814696160 142116172640 143892624798 147110670720 147582179280 151465920840 159880694220 161563648896 166029951690 170539407168 177098615136 181759105008 186419594880 191856833064 196776239040 201954561120 213174258960 215838937197 220666006080 221373268920 227198881260 236131486848 239821041330 242345473344 255809110752 265647922704 269272748160 279629392320 284232345280 287785249596 295164358560 302931841680 319761388440 332059903380 341078814336 354197230272 359731561995 363518210016 383713666128 393552478080 403909122240 426348517920 431677874394 441332012160 442746537840 454397762520 479642082660 484690946688 511618221504 531295845408 559258784640 568464690560 575570499192 590328717120 605863683360 639522776880 664119806760 708394460544 719463123990 727036420032 767427332256 807818244480 852697035840 863355748788 885493075680 908795525040 959284165320 1023236443008 1062591690816 1079194685985 1151140998384 1180657434240 1211727366720 1279045553760 1328239613520 1438926247980 1454072840064 1534854664512 1705394071680 1726711497576 1770986151360 1817591050080 1918568330640 2125183381632 2158389371970 2302281996768 2423454733440 2558091107520 2656479227040 2877852495960 3069709329024 3453422995152 3541972302720 3635182100160 3837136661280 4316778743940 4604563993536 5116182215040 5312958454080 5755704991920 6906845990304 7270364200320 7674273322560 8633557487880 9209127987072 10625916908160 11511409983840 13813691980608 15348546645120 17267114975760 23022819967680 27627383961216 34534229951520 46045639935360 69068459903040 138136919806080
- Sum of all divisors σ(n): 562601029536000
- Sum of proper divisors (its aliquot sum) s(n): 424464109729920
- 138136919806080 is an abundant number, because the sum of its proper divisors (424464109729920) is greater than itself. Its abundance is 286327189923840
Bases of 138136919806080
- Binary: 111110110100010100000100000100100010000100000002
- Hexadecimal: 0x7DA282091080
- Base-36: 1CYR83GO00
Squares and roots of 138136919806080
- 138136919806080 squared (1381369198060802) is 19081808613511376984804966400
- 138136919806080 cubed (1381369198060803) is 2635902266199587675307718634306108915712000
-
The
square root of 138136919806080 is 11753166.3736237479 -
The
cube root of 138136919806080 is 51693.5775395145
Scales and comparisons
How big is 138136919806080?- 138,136,919,806,080 seconds is equal to 4,392,326 years, 39 weeks, 5 days, 4 hours, 48 minutes.
-
To count from 1 to 138,136,919,806,080 would take you about ten million, nine hundred eighty thousand, eight hundred sixteen 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 138136919806080 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138136919806080
- 138136919806080 backwards is 080608919631831
- The number of decimal digits it has is: 15
- The sum of 138136919806080's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138136919806080 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 138136919806080 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138136919806080/
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Numbermatics. 2024. "Number 138136919806080 - Facts about the integer". https://numbermatics.com/n/138136919806080/
The information we have on file for 138136919806080 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 138136919806080, math, Factors of 138136919806080, curriculum, school, college, exams, university, Prime factorization of 138136919806080, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred thirty-six billion, nine hundred nineteen million, eight hundred six thousand and eighty.