138149309524576896
138,149,309,524,576,896 is an even composite number composed of five prime numbers multiplied together.
138149309524576896 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138149309524576896:
27 × 35 × 7 × 133 × 6613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 13 × 661 × 661 × 661)See below for interesting mathematical facts about the number 138149309524576896 from the Numbermatics database.
Names of 138149309524576896
- Cardinal: 138149309524576896 can be written as One hundred thirty-eight quadrillion, one hundred forty-nine trillion, three hundred nine billion, five hundred twenty-four million, five hundred seventy-six thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 1.38149309524576896 × 1017
Factors of 138149309524576896
Divisors of 138149309524576896
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 81 84 91 96 104 108 112 117 126 128 144 156 162 168 169 182 189 192 208 216 224 234 243 252 273 288 312 324 336 338 351 364 378 384 416 432 448 468 486 504 507 546 567 576 624 648 661 672 676 702 728 756 819 832 864 896 936 972 1008 1014 1053 1092 1134 1152 1183 1248 1296 1322 1344 1352 1404 1456 1512 1521 1638 1664 1701 1728 1872 1944 1983 2016 2028 2106 2184 2197 2268 2366 2457 2496 2592 2644 2688 2704 2808 2912 3024 3042 3159 3276 3402 3456 3549 3744 3888 3966 4032 4056 4212 4368 4394 4536 4563 4627 4732 4914 4992 5184 5288 5408 5616 5824 5949 6048 6084 6318 6552 6591 6804 7098 7371 7488 7776 7932 8064 8112 8424 8593 8736 8788 9072 9126 9254 9464 9828 10368 10576 10647 10816 11232 11648 11898 12096 12168 12636 13104 13182 13608 13689 13881 14196 14742 14976 15379 15552 15864 16224 16848 17186 17472 17576 17847 18144 18252 18508 18928 19656 19773 21152 21294 21632 22113 22464 23796 24192 24336 25272 25779 26208 26364 27216 27378 27762 28392 29484 30758 31104 31728 31941 32448 33696 34372 34944 35152 35694 36288 36504 37016 37856 39312 39546 41067 41643 42304 42588 44226 44928 46137 47592 48672 50544 51558 52416 52728 53541 54432 54756 55524 56784 58968 59319 60151 61516 63456 63882 64896 67392 68744 70304 71388 72576 73008 74032 75712 77337 78624 79092 82134 83286 84608 85176 88452 92274 95184 95823 97344 101088 103116 104832 105456 107082 108864 109512 111048 111709 113568 117936 118638 120302 123032 124929 126912 127764 134784 137488 138411 140608 142776 146016 148064 151424 154674 157248 158184 160623 164268 166572 170352 176904 177957 180453 184548 190368 191646 194688 202176 206232 210912 214164 217728 219024 222096 223418 227136 232011 235872 237276 240604 246064 249858 253824 255528 274976 276822 281216 285552 287469 292032 296128 309348 314496 316368 321246 328536 333144 335127 340704 353808 355914 360906 369096 374787 380736 383292 404352 412464 415233 421824 428328 436921 438048 444192 446836 454272 464022 471744 474552 481208 492128 499716 511056 533871 541359 549952 553644 571104 574938 584064 592256 618696 632736 642492 657072 666288 670254 681408 696033 707616 711828 721812 738192 749574 761472 766584 781963 824928 830466 843648 856656 873842 876096 888384 893672 928044 943488 949104 962416 984256 999432 1005381 1022112 1067742 1082718 1099904 1107288 1124361 1142208 1149876 1237392 1245699 1265472 1284984 1310763 1314144 1332576 1340508 1362816 1392066 1415232 1423656 1443624 1452217 1476384 1499148 1533168 1563926 1624077 1649856 1660932 1713312 1747684 1752192 1776768 1787344 1856088 1898208 1924832 1968512 1998864 2010762 2044224 2088099 2135484 2165436 2214576 2248722 2284416 2299752 2345889 2474784 2491398 2530944 2569968 2621526 2628288 2665152 2681016 2784132 2830464 2847312 2887248 2904434 2952768 2998296 3016143 3058447 3066336 3127852 3248154 3299712 3321864 3426624 3495368 3574688 3712176 3737097 3796416 3849664 3932289 3997728 4021524 4088448 4176198 4270968 4330872 4356651 4429152 4497444 4599504 4691778 4872231 4949568 4982796 5139936 5243052 5256576 5330304 5362032 5568264 5679973 5694624 5774496 5808868 5905536 5996592 6032286 6116894 6132672 6255704 6496308 6643728 6853248 6990736 7037667 7149376 7424352 7474194 7592832 7699328 7864578 7995456 8043048 8352396 8541936 8661744 8713302 8858304 8994888 9048429 9175341 9199008 9383556 9744462 9899136 9965592 10165519 10279872 10486104 10724064 11136528 11359946 11389248 11548992 11617736 11796867 11993184 12064572 12233788 12265344 12511408 12992616 13069953 13287456 13981472 14075334 14298752 14616693 14848704 14948388 15729156 15990912 16086096 16704792 17039919 17083872 17323488 17426604 17716608 17989776 18096858 18350682 18398016 18767112 19488924 19931184 20331038 20559744 20972208 21113001 21448128 22273056 22719892 22778496 23097984 23235472 23593734 23986368 24129144 24467576 25022816 25985232 26139906 26574912 27145287 27526023 27962944 28150668 29233386 29697408 29896776 30496557 31458312 32172192 33409584 34079838 34167744 34646976 34853208 35390601 35979552 36193716 36701364 36796032 37534224 38977848 39209859 39759811 39862368 40662076 41944416 42226002 42896256 44546112 45439784 46470944 47187468 47972736 48258288 48935152 50045632 51119757 51970464 52279812 53149824 54290574 55052046 55925888 56301336 58466772 59793552 60993114 62916624 63339003 64344384 66819168 68159676 68335488 69293952 69706416 70781202 71959104 72387432 73402728 73839649 75068448 77955696 78419718 79519622 79724736 81324152 82578069 83888832 84452004 89092224 90879568 91489671 92941888 94374936 96516576 97870304 100091264 102239514 103940928 104559624 106171803 108581148 110104092 112602672 116933544 117629577 119279433 119587104 121986228 125833248 126678006 128688768 133638336 136319352 139412832 141562404 143918208 144774864 146805456 147679298 150136896 153359271 155911392 156839436 159039244 159449472 162648304 165156138 167777664 168904008 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309172290336 311012601588 315374820852 316188302976 322531586832 327504621654 332703107712 334936647864 341656055923 360428366688 362848035186 368607527808 374290996176 382784740416 388153625664 390464063912 405481912524 412229720448 414683468784 420499761136 430042115776 436672828872 439272071901 446582197152 466518902382 473062231278 480571155584 483797380248 491256932481 499054661568 502404971796 540642550032 544272052779 552911291712 561436494264 574177110624 582230438496 585696095868 595442929536 608222868786 618344580672 622025203176 630749641704 634504103857 645063173664 655009243308 669873295728 683312111846 709593346917 720856733376 725696070372 748581992352 765569480832 776307251328 780928127824 810963825048 829366937568 840999522272 860084231552 873345657744 878544143802 893164394304 912334303179 933037804764 946124462556 967594760496 982513864962 998109323136 1004809943592 1024968167769 1081285100064 1088544105558 1105822583424 1122872988528 1148354221248 1164460876992 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4491491954112 4685568766944 4865782950288 4976201625408 5045997133632 5076032830856 5240073946464 5271264862812 5358986365824 5466496894768 5676746775336 5710536934713 5805568562976 6149809006614 6247425022592 6386340122253 6487710600384 6531264633348 6986765261952 7028353150416 7298674425432 7464302438112 7568995700448 7614049246284 7740758083968 7860110919696 7906897294218 8038479548736 8199745342152 8515120163004 8708352844464 8883057453998 8982983908224 9224713509921 9371137533888 9731565900576 9952403250816 10091994267264 10152065661712 10480147892928 10542529725624 10932993789536 11353493550672 11421073869426 11611137125952 11860345941327 12299618013228 12772680244506 12975421200768 13062529266696 13324586180997 14056706300832 14597348850864 14928604876224 15137991400896 15228098492568 15720221839392 15813794588436 16076959097472 16399490684304 17030240326008 17131610804139 17416705688928 17766114907996 18449427019842 18742275067776 19463131801152 20304131323424 20960295785856 21085059451248 21865987579072 22706987101344 22842147738852 23222274251904 23720691882654 24599236026456 25545360489012 26125058533392 26649172361994 27674140529763 28113412601664 29194697701728 29857209752448 30275982801792 30456196985136 31440443678784 31627589176872 32798981368608 34060480652016 34263221608278 34833411377856 35532229815992 36898854039684 38926263602304 39973758542991 40608262646848 42170118902496 43731975158144 45413974202688 45684295477704 47441383765308 49198472052912 51090720978024 51394832412417 52250117066784 53298344723988 55348281059526 56226825203328 58389395403456 60912393970272 62880887357568 63255178353744 65597962737216 68120961304032 68526443216556 69666822755712 71064459631984 73797708079368 79947517085982 81216525293696 83022421589289 84340237804992 90827948405376 91368590955408 94882767530616 98396944105824 102181441956048 102789664824834 104500234133568 106596689447976 110696562119052 116778790806912 119921275628973 121824787940544 126510356707488 131195925474432 136241922608064 137052886433112 142128919263968 147595416158736 154184497237251 159895034171964 166044843178578 168680475609984 182737181910816 189765535061232 196793888211648 204362883912096 205579329649668 209000468267136 213193378895952 221393124238104 239842551257946 243649575881088 253020713414976 272483845216128 274105772866224 284257838527936 295190832317472 308368994474502 319790068343928 332089686357156 359763826886919 365474363821632 379531070122464 393587776423296 408725767824192 411158659299336 426386757791904 442786248476208 479685102515892 506041426829952 548211545732448 568515677055872 590381664634944 616737988949004 639580136687856 664179372714312 719527653773838 730948727643264 759062140244928 817451535648384 822317318598672 852773515583808 885572496952416 959370205031784 1079291480660757 1096423091464896 1180763329269888 1233475977898008 1279160273375712 1328358745428624 1439055307547676 1518124280489856 1644634637197344 1705547031167616 1771144993904832 1918740410063568 2158582961321514 2192846182929792 2466951955796016 2558320546751424 2656717490857248 2878110615095352 3289269274394688 3542289987809664 3837480820127136 4317165922643028 4933903911592032 5116641093502848 5313434981714496 5756221230190704 6578538548789376 7674961640254272 8634331845286056 9867807823184064 10626869963428992 11512442460381408 15349923280508544 17268663690572112 19735615646368128 23024884920762816 34537327381144224 46049769841525632 69074654762288448 138149309524576896
- Sum of all divisors σ(n): 511175947352179200
- Sum of proper divisors (its aliquot sum) s(n): 373026637827602304
- 138149309524576896 is an abundant number, because the sum of its proper divisors (373026637827602304) is greater than itself. Its abundance is 234877328303025408
Bases of 138149309524576896
- Binary: 1111010101100111000010000101010000010110110001010100000002
- Hexadecimal: 0x1EACE10A82D8A80
- Base-36: 11S9UCNHGO00
Squares and roots of 138149309524576896
- 138149309524576896 squared (1381493095245768962) is 19085231722117352674710647816994816
- 138149309524576896 cubed (1381493095245768963) is 2636611584527063905149633184697201616970460625371136
-
The
square root of 138149309524576896 is 371684421.9557458073 -
The
cube root of 138149309524576896 is 516951.2298618081
Scales and comparisons
How big is 138149309524576896?- 138,149,309,524,576,896 seconds is equal to 4,392,720,719 years, 3 days, 15 hours, 21 minutes, 36 seconds.
-
To count from 1 to 138,149,309,524,576,896 would take you about thirteen billion, one hundred seventy-eight million, one hundred sixty-two thousand, one hundred fifty-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 138149309524576896 cubic inches would be around 43079.3 feet tall.
Recreational maths with 138149309524576896
- 138149309524576896 backwards is 698675425903941831
- The number of decimal digits it has is: 18
- The sum of 138149309524576896's digits is 90
- More coming soon!
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"Number 138149309524576896 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 138149309524576896 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/138149309524576896/
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Numbermatics. 2024. "Number 138149309524576896 - Facts about the integer". https://numbermatics.com/n/138149309524576896/
The information we have on file for 138149309524576896 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 138149309524576896, math, Factors of 138149309524576896, curriculum, school, college, exams, university, Prime factorization of 138149309524576896, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred forty-nine trillion, three hundred nine billion, five hundred twenty-four million, five hundred seventy-six thousand, eight hundred ninety-six.