138282069148288
138,282,069,148,288 is an even composite number composed of seven prime numbers multiplied together.
138282069148288 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138282069148288:
27 × 132 × 17 × 37 × 43 × 127 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 17 × 37 × 43 × 127 × 1861)See below for interesting mathematical facts about the number 138282069148288 from the Numbermatics database.
Names of 138282069148288
- Cardinal: 138282069148288 can be written as One hundred thirty-eight trillion, two hundred eighty-two billion, sixty-nine million, one hundred forty-eight thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38282069148288 × 1014
Factors of 138282069148288
Divisors of 138282069148288
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 8 13 16 17 26 32 34 37 43 52 64 68 74 86 104 127 128 136 148 169 172 208 221 254 272 296 338 344 416 442 481 508 544 559 592 629 676 688 731 832 884 962 1016 1088 1118 1184 1258 1352 1376 1462 1591 1651 1664 1768 1861 1924 2032 2159 2176 2236 2368 2516 2704 2752 2873 2924 3182 3302 3536 3722 3848 4064 4318 4472 4699 4736 5032 5408 5461 5504 5746 5848 6253 6364 6604 7072 7267 7444 7696 8128 8177 8636 8944 9398 9503 10064 10816 10922 11492 11696 12506 12728 13208 14144 14534 14888 15392 16256 16354 17272 17888 18796 19006 20128 20683 21463 21632 21844 22984 23392 24193 25012 25456 26416 27047 28067 28288 29068 29776 30784 31637 32708 34544 35776 37592 38012 40256 41366 42926 43688 45968 46784 48386 50024 50912 52832 54094 56134 58136 59552 61087 61568 63274 65416 68857 69088 70993 71552 75184 76024 79883 80023 80512 82732 85852 87376 91936 92837 93568 96772 100048 101824 105664 106301 108188 112268 116272 119104 122174 123539 126548 130832 137714 138176 141986 150368 152048 159766 160046 165464 171704 174752 183872 185674 193544 200096 202057 203648 211328 212602 216376 224536 232544 236347 238208 244348 247078 253096 261664 268879 275428 276352 283972 300736 304096 314509 319532 320092 330928 343408 349504 351611 364871 367744 371348 387088 400192 404114 411281 425204 432752 449072 465088 472694 488696 494156 506192 523328 537758 550856 567944 601472 608192 629018 639064 640184 661856 686816 699008 703222 729742 742696 774176 794131 800384 808228 822562 850408 865504 895141 898144 922909 930176 945388 977392 988312 1012384 1038479 1040299 1046656 1075516 1101712 1135888 1170569 1206881 1216384 1258036 1278128 1280368 1323712 1360391 1373632 1406444 1459484 1485392 1548352 1588262 1616456 1645124 1700816 1731008 1790282 1796288 1845818 1890776 1954784 1976624 2024768 2076958 2080598 2151032 2203424 2271776 2341138 2413762 2516072 2556256 2560736 2626741 2647424 2720782 2747264 2812888 2918968 2960851 2970784 3072511 3096704 3176524 3232912 3290248 3401632 3434969 3462016 3580564 3592576 3691636 3781552 3909568 3953248 4017899 4049536 4153916 4161196 4302064 4406848 4543552 4570943 4682276 4827524 5032144 5112512 5121472 5253482 5346653 5441564 5625776 5837936 5921702 5941568 6145022 6353048 6465824 6580496 6803264 6869938 7161128 7383272 7563104 7819136 7906496 8035798 8307832 8322392 8604128 8744839 8813696 9087104 9141886 9364552 9655048 10064288 10162921 10225024 10242944 10506964 10693306 10883128 11251552 11636833 11675872 11843404 11883136 12290044 12706096 12931648 13160992 13500227 13523887 13606528 13739876 14322256 14766544 15126208 15217397 15689453 15812992 16071596 16615664 16644784 17208256 17489678 17685083 18283772 18729104 19310096 20128576 20325842 21013928 21386612 21766256 22503104 23273666 23351744 23686808 24580088 25412192 25863296 26321984 27000454 27047774 27479752 28644512 29533088 30252416 30434794 31378906 32143192 33231328 33289568 34147633 34416512 34979356 35370166 36567544 37458208 38491063 38620192 39942643 40257152 40651684 42027856 42773224 43532512 44654597 45006208 46547332 46703488 47373616 49160176 50334467 50824384 52232687 52643968 54000908 54095548 54959504 57289024 59066176 60869588 62757812 64286384 66462656 66579136 68295266 69958712 70740332 73135088 74916416 76982126 77240384 79885286 81303368 84055712 85546448 87065024 89309194 93094664 94747232 98320352 100668934 101648768 104465374 108001816 108191096 109919008 113682907 114578048 118132352 121739176 125515624 128572768 132117973 132925312 133158272 136590532 139917424 141480664 146270176 148662263 149832832 153964252 154480768 159770572 162606736 168111424 171092896 172769657 174130048 178618388 186189328 189494464 196640704 197826161 201337868 208930748 216003632 216382192 219838016 227365814 229906079 243478352 251031248 257145536 264235946 273181064 279834848 282961328 292540352 297324526 307928504 319541144 325213472 336222848 342185792 345539314 357236776 372378656 376028077 378988928 393281408 395652322 402675736 417861496 432007264 432764384 439676032 454731628 459812158 486956704 500383819 502062496 514291072 528471892 546362128 559669696 565922656 580509761 585080704 594649052 615857008 639082288 650426944 654348071 679024931 684371584 691078628 714473552 744757312 752056154 791304644 805351472 835722992 864014528 865528768 909463256 919624316 973913408 1000767638 1004124992 1056943784 1092724256 1119339392 1131845312 1161019522 1189298104 1231714016 1278164576 1300853888 1308696142 1358049862 1382157256 1428947104 1477877791 1489514624 1504112308 1582609288 1610702944 1671445984 1717533649 1728029056 1731057536 1818926512 1839248632 1932609419 1947826816 2001535276 2008249984 2113887568 2185448512 2246005541 2263690624 2322039044 2378596208 2463428032 2556329152 2617392284 2716099724 2764314512 2857894208 2955755582 3008224616 3165218576 3221405888 3342891968 3435067298 3637853024 3678497264 3865218838 4003070552 4227775136 4370897024 4492011082 4644078088 4757192416 4888365001 4926856064 5112658304 5234784568 5432199448 5528629024 5715788416 5911511164 6016449232 6330437152 6392477309 6442811776 6685783936 6870134596 7275706048 7356994528 7730437676 8006141104 8455550272 8506524923 8984022164 9288156176 9514384832 9776730002 10469569136 10864398896 11057258048 11823022328 12032898464 12660874304 12784954618 13740269192 14551412096 14713989056 15460875352 16012282208 16911100544 17013049846 17968044328 18576312352 19028769664 19553460004 20939138272 21728797792 22114516096 23646044656 24065796928 25123922447 25321748608 25569909236 27480538384 29198072033 29427978112 30921750704 32024564416 34026099692 35936088656 37152624704 39106920008 41878276544 43457595584 47292089312 48131593856 50247844894 51139818472 54961076768 58396144066 61843501408 63548745013 64049128832 68052199384 71872177312 74305249408 78213840016 83102205017 83756553088 86915191168 94584178624 100495689788 102279636944 109922153536 116792288132 123687002816 127097490026 136104398768 143744354624 156427680032 166204410034 189168357248 200991379576 204559273888 219844307072 233584576264 247374005632 254194980052 272208797536 287488709248 312855360064 332408820068 401982759152 409118547776 467169152528 508389960104 544417595072 625710720128 664817640136 803965518304 818237095552 934338305056 1016779920208 1080328665221 1088835190144 1329635280272 1607931036608 1868676610112 2033559840416 2160657330442 2659270560544 3215862073216 3737353220224 4067119680832 4321314660884 5318541121088 8134239361664 8642629321768 10637082242176 17285258643536 34570517287072 69141034574144 138282069148288
- Sum of all divisors σ(n): 334726190346240
- Sum of proper divisors (its aliquot sum) s(n): 196444121197952
- 138282069148288 is an abundant number, because the sum of its proper divisors (196444121197952) is greater than itself. Its abundance is 58162052049664
Bases of 138282069148288
- Binary: 111110111000100010011011001110001000010100000002
- Hexadecimal: 0x7DC44D9C4280
- Base-36: 1D0LWLMT8G
Squares and roots of 138282069148288
- 138282069148288 squared (1382820691482882) is 19121930647931903917733330944
- 138282069148288 cubed (1382820691482883) is 2644220136106087096773896961350883315023872
-
The
square root of 138282069148288 is 11759339.6561323969 -
The
cube root of 138282069148288 is 51711.6771232639
Scales and comparisons
How big is 138282069148288?- 138,282,069,148,288 seconds is equal to 4,396,942 years, 3 weeks, 2 days, 10 hours, 31 minutes, 28 seconds.
-
To count from 1 to 138,282,069,148,288 would take you about ten million, nine hundred ninety-two thousand, three hundred fifty-five 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 138282069148288 cubic inches would be around 4309.3 feet tall.
Recreational maths with 138282069148288
- 138282069148288 backwards is 882841960282831
- The number of decimal digits it has is: 15
- The sum of 138282069148288's digits is 70
- More coming soon!
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The information we have on file for 138282069148288 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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