12838531708800
12,838,531,708,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 12838531708800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
12838531708800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 12838531708800:
27 × 33 × 52 × 73 × 19 × 1512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 19 × 151 × 151)See below for interesting mathematical facts about the number 12838531708800 from the Numbermatics database.
Names of 12838531708800
- Cardinal: 12838531708800 can be written as Twelve trillion, eight hundred thirty-eight billion, five hundred thirty-one million, seven hundred eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.28385317088 × 1013
Factors of 12838531708800
Divisors of 12838531708800
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 49 50 54 56 57 60 63 64 70 72 75 76 80 84 90 95 96 98 100 105 108 112 114 120 126 128 133 135 140 144 147 150 151 152 160 168 171 175 180 189 190 192 196 200 210 216 224 225 228 240 245 252 266 270 280 285 288 294 300 302 304 315 320 336 342 343 350 360 378 380 384 392 399 400 420 432 441 448 450 453 456 475 480 490 504 513 525 532 540 560 570 576 588 600 604 608 630 640 665 672 675 684 686 700 720 735 755 756 760 784 798 800 840 855 864 882 896 900 906 912 931 945 950 960 980 1008 1026 1029 1050 1057 1064 1080 1120 1140 1152 1176 1197 1200 1208 1216 1225 1260 1323 1330 1344 1350 1359 1368 1372 1400 1425 1440 1470 1510 1512 1520 1568 1575 1596 1600 1680 1710 1715 1728 1764 1800 1812 1824 1862 1890 1900 1920 1960 1995 2016 2052 2058 2100 2114 2128 2160 2205 2240 2265 2280 2352 2394 2400 2416 2432 2450 2520 2565 2646 2660 2688 2700 2718 2736 2744 2793 2800 2850 2869 2880 2940 3020 3024 3040 3087 3136 3150 3171 3192 3200 3325 3360 3420 3430 3456 3528 3591 3600 3624 3648 3675 3724 3775 3780 3800 3920 3990 4032 4077 4104 4116 4200 4228 4256 4275 4320 4410 4480 4530 4560 4655 4704 4725 4788 4800 4832 4900 5040 5130 5145 5285 5292 5320 5400 5436 5472 5488 5586 5600 5700 5738 5760 5880 5985 6040 6048 6080 6174 6272 6300 6342 6384 6517 6615 6650 6720 6795 6840 6860 7056 7182 7200 7248 7296 7350 7399 7448 7550 7560 7600 7840 7980 8064 8154 8208 8232 8379 8400 8456 8512 8550 8575 8607 8640 8820 9060 9120 9261 9310 9408 9450 9513 9576 9600 9664 9800 9975 10080 10260 10290 10570 10584 10640 10800 10872 10944 10976 11025 11172 11200 11325 11400 11476 11760 11970 12080 12096 12160 12348 12600 12684 12768 12825 13034 13230 13300 13440 13590 13680 13720 13965 14112 14345 14364 14400 14496 14700 14798 14896 15100 15120 15200 15435 15680 15855 15960 16308 16416 16464 16758 16800 16912 17024 17100 17150 17214 17280 17640 17955 18120 18240 18522 18620 18816 18900 19026 19152 19328 19551 19600 19950 20083 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850233888 861877800 867585600 873369504 885660300 891564702 893799200 894983040 909759900 919336320 935753040 938489160 944704320 955247895 965303136 970410560 985003200 1001055104 1005524100 1012183200 1018931088 1039725600 1055800305 1061386550 1062792360 1072559040 1091711880 1118728800 1126186992 1133645184 1146297474 1149170400 1164492672 1169691300 1173111450 1180880400 1188752936 1206628920 1213013200 1214619840 1247670720 1251318880 1273663860 1287070848 1310054256 1328490450 1337347053 1340698800 1349577600 1358574784 1364639850 1379004480 1386300800 1407733740 1417056480 1455615840 1485941170 1491638400 1497204864 1501582656 1508286150 1518274800 1528396632 1532227200 1559588400 1564148600 1574507200 1592079825 1608838560 1637567820 1689280488 1698218480 1700467776 1723755600 1735171200 1746739008 1759667175 1771320600 1783129404 1787598400 1819519800 1871506080 1876978320 1889408640 1910495790 1930606272 1940821120 1970006400 2011048200 2024366400 2037862176 2046959775 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5822463360 5943764680 6033144600 6073099200 6113586528 6238353600 6256594400 6368319300 6435354240 6550271280 6686735265 6757121952 6792873920 6895022400 7038668700 7085282400 7132517616 7278079200 7429705850 7486024320 7507913280 7641983160 8024082318 8044192800 8151448704 8187839100 8446402440 8491092400 8502338880 8733695040 8915647020 9009495936 9170379792 9357530400 9384891600 9447043200 9510023488 9552478950 9653031360 9704105600 10189310880 10480434048 10558003050 10627923600 10698776424 10725590400 10917118800 11144558775 11261869920 11462974740 11887529360 12066289200 12146198400 12227173056 12476707200 12513188800 12736638600 13100542560 13373470530 13514243904 13585747840 13790044800 14077337400 14170564800 14265035232 14328718425 14556158400 14859411700 15015826560 15283966320 16048164636 16088385600 16375678200 16892804880 16982184800 17004677760 17467390080 17831294040 18340759584 18715060800 18769783200 19020046976 19104957900 19306062720 20060205795 20378621760 21116006100 21255847200 21397552848 21834237600 22289117550 22523739840 22925949480 23775058720 24132578400 24454346112 25026377600 25473277200 26201085120 26746941060 27028487808 28154674800 28341129600 28530070464 28657436850 29112316800 29718823400 30567932640 32096329272 32176771200 32751356400 33433676325 33785609760 33964369600 35662588080 36681519168 37430121600 37539566400 38209915800 40120411590 40757243520 42232012200 42511694400 42795105696 43668475200 44578235100 45047479680 45851898960 47550117440 48265156800 50946554400 52402170240 53493882120 56309349600 57060140928 57314873700 59437646800 61135865280 64192658544 65502712800 66867352650 67571219520 67928739200 71325176160 73363038336 75079132800 76419831600 80240823180 84464024400 85023388800 85590211392 87336950400 89156470200 91703797920 95100234880 96530313600 100301028975 101893108800 106987764240 112618699200 114629747400 118875293600 122271730560 128385317088 131005425600 133734705300 135142439040 142650352320 152839663200 160481646360 168928048800 171180422784 178312940400 183407595840 200602057950 203786217600 213975528480 225237398400 229259494800 237750587200 256770634176 262010851200 267469410600 285300704640 305679326400 320963292720 337856097600 356625880800 366815191680 401204115900 427951056960 458518989600 475501174400 513541268352 534938821200 611358652800 641926585440 675712195200 713251761600 802408231800 855902113920 917037979200 1069877642400 1283853170880 1426503523200 1604816463600 1834075958400 2139755284800 2567706341760 3209632927200 4279510569600 6419265854400 12838531708800
- Sum of all divisors σ(n): 58061908800000
- Sum of proper divisors (its aliquot sum) s(n): 45223377091200
- 12838531708800 is an abundant number, because the sum of its proper divisors (45223377091200) is greater than itself. Its abundance is 32384845382400
Bases of 12838531708800
- Binary: 101110101101001101000001111100110111100000002
- Hexadecimal: 0xBAD341F3780
- Base-36: 4JTXUAQO0
Squares and roots of 12838531708800
- 12838531708800 squared (128385317088002) is 164827896437863047997440000
- 12838531708800 cubed (128385317088003) is 2116148174912307310626949781225472000000
-
The
square root of 12838531708800 is 3583089.6875183015 -
The
cube root of 12838531708800 is 23415.5907671333
Scales and comparisons
How big is 12838531708800?- 12,838,531,708,800 seconds is equal to 408,225 years, 31 weeks.
-
To count from 1 to 12,838,531,708,800 would take you about one million, twenty thousand, five hundred sixty-three 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 12838531708800 cubic inches would be around 1951.3 feet tall.
Recreational maths with 12838531708800
- 12838531708800 backwards is 00880713583821
- 12838531708800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12838531708800's digits is 54
- More coming soon!
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"Number 12838531708800 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 12838531708800 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/12838531708800/
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Numbermatics. 2024. "Number 12838531708800 - Facts about the integer". https://numbermatics.com/n/12838531708800/
The information we have on file for 12838531708800 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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