138121335146496
138,121,335,146,496 is an even composite number composed of five prime numbers multiplied together.
138121335146496 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138121335146496:
211 × 3 × 133 × 233 × 292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 13 × 23 × 23 × 23 × 29 × 29)See below for interesting mathematical facts about the number 138121335146496 from the Numbermatics database.
Names of 138121335146496
- Cardinal: 138121335146496 can be written as One hundred thirty-eight trillion, one hundred twenty-one billion, three hundred thirty-five million, one hundred forty-six thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.38121335146496 × 1014
Factors of 138121335146496
Divisors of 138121335146496
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 23 24 26 29 32 39 46 48 52 58 64 69 78 87 92 96 104 116 128 138 156 169 174 184 192 208 232 256 276 299 312 338 348 368 377 384 416 464 507 512 529 552 598 624 667 676 696 736 754 768 832 841 897 928 1014 1024 1058 1104 1131 1196 1248 1334 1352 1392 1472 1508 1536 1587 1664 1682 1794 1856 2001 2028 2048 2116 2197 2208 2262 2392 2496 2523 2668 2704 2784 2944 3016 3072 3174 3328 3364 3588 3712 3887 4002 4056 4232 4394 4416 4524 4784 4901 4992 5046 5336 5408 5568 5888 6032 6144 6348 6591 6656 6728 6877 7176 7424 7774 8004 8112 8464 8671 8788 8832 9048 9568 9802 9984 10092 10672 10816 10933 11136 11661 11776 12064 12167 12696 13182 13312 13456 13754 14352 14703 14848 15341 15548 16008 16224 16928 17342 17576 17664 18096 19136 19343 19604 19968 20184 20631 21344 21632 21866 22272 23322 23552 24128 24334 25392 26013 26364 26624 26912 27508 28704 29406 29696 30682 31096 32016 32448 32799 33856 34684 35152 35328 36192 36501 38272 38686 39208 39936 40368 41262 42688 43264 43732 44544 46023 46644 47104 48256 48668 50531 50784 52026 52728 53824 55016 57408 58029 58812 59392 61364 62192 63713 64032 64896 65598 67712 69368 70304 70656 72384 73002 76544 77372 78416 79872 80736 82524 85376 86528 87464 89088 89401 92046 93288 96512 97336 101062 101568 104052 105456 107648 110032 112723 114816 116058 117624 122728 124384 127426 128064 129792 131196 135424 138736 140608 141312 142129 144768 146004 151593 153088 154744 156832 158171 161472 165048 170752 173056 174928 178176 178802 184092 186576 191139 193024 194672 199433 202124 203136 208104 210912 215296 220064 225446 229632 232116 235248 245456 248768 251459 254852 256128 259584 262392 268203 270848 277472 281216 284258 289536 292008 303186 306176 309488 313664 316342 322944 330096 338169 341504 346112 349856 352843 357604 368184 373152 382278 386048 389344 398866 404248 406272 416208 421824 426387 430592 440128 444889 450892 459264 464232 470496 474513 490912 497536 502918 509704 512256 519168 524784 536406 541696 554944 562432 568516 579072 584016 598299 606372 612352 618976 627328 632684 645888 660192 676338 683008 699712 705686 715208 736368 746304 754377 764556 772096 778688 797732 808496 812544 832416 843648 852774 861184 880256 889778 901784 918528 928464 940992 949026 981824 995072 1005836 1019408 1024512 1038336 1049568 1058529 1072812 1083392 1109888 1124864 1137032 1158144 1162213 1168032 1196598 1212744 1237952 1254656 1265368 1291776 1320384 1334667 1352676 1366016 1399424 1411372 1430416 1465399 1472736 1492608 1508754 1529112 1557376 1595464 1616992 1625088 1664832 1687296 1705548 1722368 1760512 1779556 1803568 1837056 1847677 1856928 1881984 1898052 1963648 1990144 2011672 2038816 2049024 2056223 2099136 2117058 2145624 2219776 2249728 2274064 2316288 2324426 2336064 2393196 2425488 2475904 2509312 2530736 2583552 2592629 2640768 2669334 2705352 2798848 2822744 2860832 2930798 2945472 2985216 3017508 3058224 3114752 3190928 3233984 3250176 3268967 3329664 3374592 3411096 3486639 3521024 3559112 3607136 3695354 3713856 3763968 3796104 3927296 3980288 4023344 4077632 4098048 4112446 4198272 4234116 4291248 4396197 4439552 4499456 4548128 4586959 4648852 4672128 4786392 4850976 4951808 5018624 5061472 5167104 5185258 5281536 5338668 5410704 5543031 5597696 5645488 5721664 5783557 5861596 5890944 5970432 6035016 6116448 6168669 6229504 6381856 6467968 6537934 6659328 6749184 6822192 6973278 7042048 7118224 7214272 7390708 7427712 7527936 7592208 7777887 7854592 7960576 8046688 8155264 8224892 8396544 8468232 8582496 8792394 8879104 9096256 9173918 9297704 9344256 9572784 9701952 9806901 9903616 10037248 10122944 10232447 10370516 10563072 10677336 10821408 11086062 11195392 11290976 11443328 11567114 11723192 11781888 11940864 12070032 12232896 12337338 12459008 12763712 12935936 13075868 13318656 13498368 13644384 13760877 13946556 14084096 14236448 14428544 14781416 14855424 15055872 15184416 15555774 15709184 16093376 16310528 16449784 16793088 16936464 17164992 17350671 17584788 17758208 18192512 18347836 18595408 18688512 19145568 19403904 19613802 19807232 20245888 20464894 20741032 21126144 21354672 21642816 22172124 22390784 22581952 22886656 23134228 23446384 23563776 23881728 24140064 24465792 24674676 24918016 25527424 25871872 26151736 26637312 26730899 27288768 27521754 27893112 28472896 28857088 29562832 29710848 30111744 30368832 30697341 31111548 31418368 32186752 32621056 32899568 33586176 33704177 33872928 34329984 34701342 35169576 36385024 36695672 37190816 37377024 38291136 38807808 39227604 39614464 40491776 40929788 41482064 42252288 42496571 42709344 43285632 44344248 45163904 45773312 46268456 46892768 47127552 48280128 48931584 49349352 51054848 51743744 52303472 53274624 53461798 54577536 55043508 55786224 56945792 57714176 59125664 59421696 59630467 60737664 61394682 62223096 64373504 65242112 65799136 67172352 67408354 67745856 68659968 69402684 70339152 72770048 73391344 74381632 74754048 75186241 76582272 77615616 78455208 80192697 80983552 81859576 82964128 84993142 85418688 86571264 88688496 90327808 91546624 92536912 93785536 94255104 96560256 97863168 98698704 101112531 102109696 103487488 104606944 106923596 109155072 110087016 111572448 113891584 115428352 118251328 118843392 119260934 121475328 122789364 124446192 127489713 128747008 130484224 131598272 133021811 134816708 135491712 137319936 138805368 140678304 145540096 146782688 148763264 150372482 153164544 155231232 156910416 160385394 161967104 163719152 165928256 169986284 170837376 173142528 177376992 178891401 180655616 183093248 185073824 187571072 193120512 195726336 197397408 202225062 204219392 209213888 213847192 218310144 220174032 223144896 225558723 227783168 230856704 236502656 238521868 242950656 245578728 248892384 254979426 257494016 263196544 266043622 269633416 270983424 274639872 277610736 281356608 291080192 293565376 297526528 300744964 306329088 310462464 313820832 320770788 323934208 327438304 331856512 339972568 341674752 346285056 354753984 357782802 361311232 370147648 375142144 386241024 391452672 394794816 399065433 404450124 408438784 418427776 427694384 436620288 440348064 446289792 451117446 455566336 473005312 477043736 485901312 491157456 497784768 509958852 514988032 526393088 532087244 539266832 541966848 549279744 555221472 562713216 587130752 595053056 601489928 612658176 627641664 641541576 654876608 663713024 679945136 683349504 692570112 709507968 715565604 722622464 740295296 750284288 772482048 775196071 789589632 798130866 808900248 836855552 855388768 873240576 880696128 892579584 902234892 911132672 946010624 954087472 971802624 977421133 982314912 995569536 1019917704 1052786176 1064174488 1078533664 1083933696 1110442944 1125426432 1174261504 1190106112 1202979856 1225316352 1255283328 1283083152 1309753216 1327426048 1359890272 1366699008 1419015936 1431131208 1480590592 1500568576 1544964096 1550392142 1579179264 1596261732 1617800496 1673711104 1710777536 1729283543 1761392256 1785159168 1804469784 1892021248 1908174944 1954842266 1964629824 1991139072 2039835408 2105572352 2128348976 2157067328 2167867392 2220885888 2250852864 2325588213 2348523008 2380212224 2405959712 2510566656 2566166304 2619506432 2654852096 2719780544 2733398016 2838031872 2862262416 2932263399 2961181184 3001137152 3100784284 3158358528 3192523464 3235600992 3347422208 3421555072 3458567086 3522784512 3570318336 3608939568 3784042496 3816349888 3909684532 3929259648 3982278144 4079670816 4211144704 4256697952 4314134656 4441771776 4501705728 4651176426 4697046016 4811919424 5021133312 5132332608 5187850629 5239012864 5309704192 5439561088 5676063744 5724524832 5864526798 5922362368 6201568568 6316717056 6385046928 6471201984 6694844416 6843110144 6917134172 7045569024 7140636672 7217879136 7632699776 7819369064 7858519296 7964556288 8159341632 8513395904 8628269312 8883543552 9003411456 9302352852 9394092032 9623838848 10042266624 10264665216 10375701258 10478025728 10879122176 11352127488 11449049664 11729053596 11844724736 12403137136 12633434112 12770093856 12942403968 13686220288 13834268344 14091138048 14435758272 15265399552 15638738128 15717038592 15929112576 16318683264 17026791808 17256538624 17767087104 18604705704 19247677696 20084533248 20529330432 20751402516 20956051456 21758244352 22480686059 22898099328 23458107192 24806274272 25540187712 25884807936 27372440576 27668536688 28182276096 28871516544 30530799104 31277476256 31434077184 32637366528 34053583616 34513077248 35534174208 37209411408 38495355392 41058660864 41502805032 43516488704 44961372118 45796198656 46916214384 49612548544 51080375424 51769615872 54744881152 55337073376 57743033088 61061598208 62554952512 62868154368 65274733056 67442058177 68107167232 69026154496 74418822816 76990710784 82117321728 83005610064 87032977408 89922744236 91592397312 93832428768 99225097088 102160750848 103539231744 110674146752 115486066176 122123196416 125109905024 130549466112 134884116354 136214334464 148837645632 153981421568 164234643456 166011220128 179845488472 183184794624 187664857536 198450194176 204321501696 207078463488 221348293504 230972132352 250219810048 261098932224 269768232708 272428668928 297675291264 332022440256 359690976944 366369589248 375329715072 396900388352 408643003392 442696587008 461944264704 500439620096 539536465416 595350582528 664044880512 719381953888 750659430144 793800776704 817286006784 885393174016 1000879240192 1079072930832 1190701165056 1328089761024 1438763907776 1501318860288 1587601553408 1770786348032 2001758480384 2158145861664 2381402330112 2656179522048 2877527815552 3002637720576 3541572696064 4316291723328 4762804660224 5312359044096 5755055631104 6005275441152 8632583446656 10624718088192 11510111262208 17265166893312 23020222524416 34530333786624 46040445048832 69060667573248 138121335146496
- Sum of all divisors σ(n): 431912845728000
- Sum of proper divisors (its aliquot sum) s(n): 293791510581504
- 138121335146496 is an abundant number, because the sum of its proper divisors (293791510581504) is greater than itself. Its abundance is 155670175435008
Bases of 138121335146496
- Binary: 111110110011110111000010001111000001000000000002
- Hexadecimal: 0x7D9EE11E0800
- Base-36: 1CYK2CRBPC
Squares and roots of 138121335146496
- 138121335146496 squared (1381213351464962) is 19077503222650671205781078016
- 138121335146496 cubed (1381213351464963) is 2635010216374090857693974942271176165031936
-
The
square root of 138121335146496 is 11752503.3565830561 -
The
cube root of 138121335146496 is 51691.6334367391
Scales and comparisons
How big is 138121335146496?- 138,121,335,146,496 seconds is equal to 4,391,831 years, 11 weeks, 3 days, 4 hours, 41 minutes, 36 seconds.
-
To count from 1 to 138,121,335,146,496 would take you about ten million, nine hundred seventy-nine thousand, five hundred seventy-eight 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 138121335146496 cubic inches would be around 4307.6 feet tall.
Recreational maths with 138121335146496
- 138121335146496 backwards is 694641533121831
- The number of decimal digits it has is: 15
- The sum of 138121335146496's digits is 57
- More coming soon!
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The information we have on file for 138121335146496 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 138121335146496, math, Factors of 138121335146496, curriculum, school, college, exams, university, Prime factorization of 138121335146496, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred twenty-one billion, three hundred thirty-five million, one hundred forty-six thousand, four hundred ninety-six.