3138004912768000
3,138,004,912,768,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 3138004912768000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1584 divisors.
3138004912768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 3138004912768000:
210 × 53 × 11 × 31 × 612 × 1392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 31 × 61 × 61 × 139 × 139)See below for interesting mathematical facts about the number 3138004912768000 from the Numbermatics database.
Names of 3138004912768000
- Cardinal: 3138004912768000 can be written as Three quadrillion, one hundred thirty-eight trillion, four billion, nine hundred twelve million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 3.138004912768 × 1015
Factors of 3138004912768000
Divisors of 3138004912768000
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 61 62 64 80 88 100 110 122 124 125 128 139 155 160 176 200 220 244 248 250 256 275 278 305 310 320 341 352 400 440 488 496 500 512 550 556 610 620 640 671 682 695 704 775 800 880 976 992 1000 1024 1100 1112 1220 1240 1280 1342 1364 1375 1390 1408 1525 1529 1550 1600 1705 1760 1891 1952 1984 2000 2200 2224 2440 2480 2560 2684 2728 2750 2780 2816 3050 3058 3100 3200 3355 3410 3475 3520 3721 3782 3875 3904 3968 4000 4309 4400 4448 4880 4960 5120 5368 5456 5500 5560 5632 6100 6116 6200 6400 6710 6820 6950 7040 7442 7564 7625 7645 7750 7808 7936 8000 8479 8525 8618 8800 8896 9455 9760 9920 10736 10912 11000 11120 11264 12200 12232 12400 12800 13420 13640 13900 14080 14884 15128 15250 15290 15500 15616 15872 16000 16775 16958 17050 17236 17375 17600 17792 18605 18910 19321 19520 19840 20801 21472 21545 21824 22000 22240 24400 24464 24800 25600 26840 27280 27800 28160 29768 30256 30500 30580 31000 31232 31744 32000 33550 33916 34100 34472 34750 35200 35584 37210 37820 38225 38642 39040 39680 40931 41602 42395 42625 42944 43090 43648 44000 44480 47275 47399 48800 48928 49600 53680 54560 55600 56320 59536 60512 61000 61160 62000 62464 64000 67100 67832 68200 68944 69500 70400 71168 74420 75640 76450 77284 78080 79360 81862 83204 83875 84790 85250 85888 86180 87296 88000 88960 93025 93269 94550 94798 96605 97600 97856 99200 104005 107360 107725 109120 111200 115351 119072 121024 122000 122320 124000 128000 134200 135664 136400 137888 139000 140800 142336 148840 151280 152900 154568 156160 158720 163724 166408 167750 169580 170500 171776 172360 174592 176000 177920 186050 186538 189100 189596 191125 193210 195200 195712 198400 204655 208010 211975 212531 214720 215450 218240 222400 230702 236375 236995 238144 242048 244000 244640 248000 262849 268400 271328 272800 275776 278000 281600 297680 302560 305800 309136 312320 327448 332816 335500 339160 341000 343552 344720 349184 352000 355840 372100 373076 378200 379192 382250 386420 390400 391424 396800 409310 416020 423950 425062 429440 430900 436480 444800 461404 465125 466345 472750 473990 476288 483025 484096 488000 489280 496000 517219 520025 525698 536800 538625 542656 545600 551552 556000 576755 595360 598951 605120 611600 618272 654896 665632 671000 678320 682000 687104 689440 704000 711680 744200 746152 756400 758384 764500 772840 780800 782848 793600 818620 832040 847900 850124 858880 861800 872960 889600 922808 930250 932690 945500 947980 952576 966050 968192 976000 978560 992000 1023275 1034438 1040050 1051396 1059875 1062655 1073600 1077250 1085312 1091200 1103104 1112000 1153510 1178581 1184975 1190720 1197902 1210240 1223200 1236544 1268861 1309792 1314245 1331264 1342000 1356640 1364000 1378880 1408000 1488400 1492304 1512800 1516768 1529000 1545680 1561600 1565696 1637240 1664080 1695800 1700248 1717760 1723600 1745920 1779200 1845616 1860500 1865380 1891000 1895960 1905152 1932100 1936384 1952000 1957120 1984000 2046550 2068876 2080100 2102792 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28837750 28913390 29464525 29529856 29768000 29846080 29947550 30256000 30335360 30913600 31721525 32067578 32744800 32856125 32942305 33102016 33281600 33644672 33916000 34004960 34472000 36536011 36912320 37307600 37714592 37919200 38332864 38642000 39142400 40603552 40931000 41377520 41602000 41913344 42055840 42506200 42944000 43412480 43648000 45515272 46140400 46261424 46634500 47143240 47399000 47628800 47753728 47916080 48409600 48536576 48928000 49461760 50754440 51721900 51857564 52391680 52569800 52707688 53132750 53250560 54265600 54407936 55155200 56894090 57675500 57826780 58929050 59059712 59536000 59692160 59895100 60512000 60670720 61827200 63443050 64135156 64652375 64821955 65489600 65712250 65884610 66204032 66563200 67289344 67832000 68009920 68944000 71893441 72283475 73072022 73824640 74615200 74868875 75429184 75838400 76665728 77284000 80168945 81207104 81862000 82755040 83204000 84111680 85012400 85888000 91030544 92280800 92522848 93269000 94286480 94798000 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7908278510 8016894500 8037922420 8120710400 8209299968 8275504000 8297210240 8411168000 8433230080 8818583950 8914786684 8986680125 9103054400 9134002750 9202360448 9252284800 9353218816 9428648000 9583216000 10047403025 10150888000 10261624960 10371512800 10541537600 11143483355 11287787456 11378818000 11502950560 11565356000 11691523520 11938432000 12653245616 12827031200 12860675872 12964391000 13176922000 13240806400 13275536384 13601984000 14109734320 14378688200 14564887040 14614404400 14764928000 14803655680 15085836800 15333145600 15816557020 16033789000 16075844840 16241420800 16418599936 16551008000 16594420480 16822336000 16866460160 17637167900 17829573368 17973360250 18206108800 18268005500 18404720896 18504569600 18706437632 18857296000 19166432000 19770696275 20094806050 20301776000 20523249920 20743025600 21083075200 22046459875 22286966710 22575574912 22757636000 23005901120 23130712000 23383047040 24515663381 25306491232 25654062400 25721351744 25928782000 26353844000 27203968000 28219468640 28757376400 29129774080 29228808800 30171673600 31633114040 32067578000 32151689680 32482841600 33102016000 33188840960 33644672000 33732920320 35274335800 35659146736 35946720500 36412217600 36536011000 36809441792 37009139200 37412875264 37714592000 38332864000 39541392550 40189612100 40603552000 41046499840 41486051200 42166150400 44092919750 44573933420 45151149824 45515272000 46011802240 46261424000 46766094080 49031326762 50237015125 50612982464 51308124800 51442703488 51857564000 52707688000 55717416775 56438937280 57514752800 58457617600 63266228080 64135156000 64303379360 66204032000 66377681920 70548671600 71318293472 71893441000 72824435200 73072022000 73618883584 74018278400 75429184000 76665728000 79082785100 80379224200 81207104000 82092999680 82972102400 84332300800 88185839500 89147866840 90302299648 91030544000 92023604480 92522848000 93532188160 98062653524 98853481375 100474030250 101225964928 102616249600 102885406976 103715128000 105415376000 111434833550 112877874560 115029505600 116915235200 122578316905 126532456160 128270312000 128606758720 141097343200 142636586944 143786882000 145648870400 146144044000 150858368000 158165570200 160758448400 162414208000 165944204800 168664601600 176371679000 178295733680 180604599296 182061088000 184047208960 185045696000 187064376320 196125307048 197706962750 200948060500 202451929856 205232499200 205770813952 207430256000 210830752000 222869667100 225755749120 230059011200 233830470400 245156633810 253064912320 256540624000 257213517440 278587083875 282194686400 285273173888 287573764000 292288088000 316331140400 321516896800 331888409600 352743358000 356591467360 364122176000 368094417920 370091392000 392250614096 395413925500 401896121000 404903859712 410464998400 411541627904 414860512000 421661504000 445739334200 451511498240 460118022400 467660940800 490313267620 506129824640 513081248000 514427034880 557174167750 564389372800 570546347776 575147528000 584576176000 612891584525 632662280800 643033793600 705486716000 713182934720 728244352000 784501228192 790827851000 803792242000 809807719424 829721024000 843323008000 891478668400 903022996480 920236044800 935321881600 980626535240 1012259649280 1026162496000 1028854069760 1114348335500 1128778745600 1141092695552 1150295056000 1169152352000 1225783169050 1265324561600 1286067587200 1410973432000 1426365869440 1569002456384 1581655702000 1607584484000 1659442048000 1782957336800 1840472089600 1961253070480 2024519298560 2052324992000 2057708139520 2228696671000 2257557491200 2282185391104 2300590112000 2338304704000 2451566338100 2530649123200 2572135174400 2821946864000 2852731738880 3064457922625 3138004912768 3163311404000 3215168968000 3565914673600 3922506140960 4049038597120 4457393342000 4515114982400 4601180224000 4676609408000 4903132676200 5061298246400 5144270348800 5643893728000 5705463477760 6128915845250 6276009825536 6326622808000 6430337936000 7131829347200 7845012281920 8914786684000 9202360448000 9806265352400 10122596492800 10288540697600 11287787456000 11410926955520 12257831690500 12552019651072 12653245616000 12860675872000 14263658694400 15690024563840 17829573368000 19612530704800 20245192985600 22575574912000 24515663381000 25104039302144 25306491232000 25721351744000 28527317388800 31380049127680 35659146736000 39225061409600 49031326762000 50612982464000 51442703488000 57054634777600 62760098255360 71318293472000 78450122819200 98062653524000 101225964928000 125520196510720 142636586944000 156900245638400 196125307048000 285273173888000 313800491276800 392250614096000 627600982553600 784501228192000 1569002456384000 3138004912768000
- Sum of all divisors σ(n): 9027659272978944
- Sum of proper divisors (its aliquot sum) s(n): 5889654360210944
- 3138004912768000 is an abundant number, because the sum of its proper divisors (5889654360210944) is greater than itself. Its abundance is 2751649447442944
Bases of 3138004912768000
- Binary: 10110010010111111111101101000010000100000100000000002
- Hexadecimal: 0xB25FFB4210400
- Base-36: UWBVK06CCG
Squares and roots of 3138004912768000
- 3138004912768000 squared (31380049127680002) is 9847074832556103289421824000000
- 3138004912768000 cubed (31380049127680003) is 30900169200955183109188128678275448832000000000
-
The
square root of 3138004912768000 is 56017898.1466459523 -
The
cube root of 3138004912768000 is 146403.4147351667
Scales and comparisons
How big is 3138004912768000?- 3,138,004,912,768,000 seconds is equal to 99,778,849 years, 38 weeks, 3 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 3,138,004,912,768,000 would take you about two hundred ninety-nine million, three hundred thirty-six thousand, five hundred forty-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 3138004912768000 cubic inches would be around 12200.3 feet tall.
Recreational maths with 3138004912768000
- 3138004912768000 backwards is 0008672194008313
- The number of decimal digits it has is: 16
- The sum of 3138004912768000's digits is 52
- More coming soon!
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"Number 3138004912768000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 3138004912768000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/3138004912768000/
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The information we have on file for 3138004912768000 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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