138082214400
138,082,214,400 is an even composite number composed of seven prime numbers multiplied together.
138082214400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138082214400:
29 × 3 × 52 × 13 × 17 × 53 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 17 × 53 × 307)See below for interesting mathematical facts about the number 138082214400 from the Numbermatics database.
Names of 138082214400
- Cardinal: 138082214400 can be written as One hundred thirty-eight billion, eighty-two million, two hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.380822144 × 1011
Factors of 138082214400
Divisors of 138082214400
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 53 60 64 65 68 75 78 80 85 96 100 102 104 106 120 128 130 136 150 156 159 160 170 192 195 200 204 208 212 221 240 255 256 260 265 272 300 307 312 318 320 325 340 384 390 400 408 416 424 425 442 480 510 512 520 530 544 600 614 624 636 640 650 663 680 689 768 780 795 800 816 832 848 850 884 901 921 960 975 1020 1040 1060 1088 1105 1200 1228 1248 1272 1275 1280 1300 1325 1326 1360 1378 1535 1536 1560 1590 1600 1632 1664 1696 1700 1768 1802 1842 1920 1950 2040 2067 2080 2120 2176 2210 2400 2456 2496 2544 2550 2560 2600 2650 2652 2703 2720 2756 3070 3120 3180 3200 3264 3315 3328 3392 3400 3445 3536 3604 3684 3840 3900 3975 3991 4080 4134 4160 4240 4352 4420 4505 4605 4800 4912 4992 5088 5100 5200 5219 5300 5304 5406 5440 5512 5525 6140 6240 6360 6400 6528 6630 6656 6784 6800 6890 7072 7208 7368 7675 7680 7800 7950 7982 8160 8268 8320 8480 8704 8840 9010 9210 9600 9824 9984 10176 10200 10335 10400 10438 10600 10608 10812 10880 11024 11050 11713 11973 12280 12480 12720 12800 13056 13260 13515 13568 13600 13780 14144 14416 14736 15350 15600 15657 15900 15964 16271 16320 16536 16575 16640 16960 17225 17680 18020 18420 19200 19648 19955 19968 20352 20400 20670 20800 20876 21200 21216 21624 21760 22048 22100 22525 23025 23426 23946 24560 24960 25440 26095 26112 26520 27030 27136 27200 27560 28288 28832 29472 30700 31200 31314 31800 31928 32542 32640 33072 33150 33280 33920 34450 35139 35360 36040 36840 38400 39296 39910 40704 40800 41340 41600 41752 42400 42432 43248 43520 44096 44200 45050 46050 46852 47892 48813 49120 49920 50880 51675 52190 53040 54060 54400 55120 56576 57664 58565 58944 59865 61400 62400 62628 63600 63856 65084 65280 66144 66300 67575 67840 67847 68900 70278 70720 72080 73680 78285 78592 79820 81355 81408 81600 82680 83200 83504 84800 84864 86496 88192 88400 90100 92100 93704 95784 97626 98240 99775 99840 101760 103350 104380 106080 108120 108800 110240 113152 115328 117130 117888 119730 122800 124800 125256 127200 127712 130168 130475 130560 132288 132600 135150 135680 135694 137800 140556 141440 144160 147360 156570 157184 159640 162710 163200 165360 166400 167008 169600 169728 172992 175695 176384 176800 180200 184200 187408 191568 195252 196480 199550 203520 203541 206700 208760 211523 212160 216240 217600 220480 230656 234260 235776 239460 244065 245600 249600 250512 254400 255424 260336 260950 264576 265200 270300 271388 275600 276607 281112 282880 288320 292825 294720 299325 313140 319280 325420 326400 330720 334016 339200 339235 339456 345984 351390 352768 353600 360400 368400 374816 383136 390504 391425 392960 399100 406775 407040 407082 413400 417520 423046 424320 432480 440960 461312 468520 471552 478920 488130 491200 499200 501024 508800 510848 520672 521900 529152 530400 540600 542776 551200 553214 562224 565760 576640 585650 589440 598650 626280 634569 638560 650840 652800 661440 668032 678400 678470 691968 702780 707200 720800 736800 749632 766272 781008 782850 785920 798200 813550 814164 826800 829821 835040 846092 848640 864960 878475 881920 937040 957840 976260 982400 1002048 1017600 1017705 1021696 1041344 1043800 1057615 1058304 1060800 1081200 1085552 1102400 1106428 1124448 1153280 1171300 1178880 1197300 1220325 1252560 1269138 1277120 1301680 1322880 1336064 1356940 1383035 1383936 1405560 1414400 1441600 1473600 1499264 1532544 1562016 1565700 1596400 1627100 1628328 1653600 1659642 1670080 1692184 1696175 1697280 1729920 1756950 1763840 1874080 1915680 1952520 1964800 2004096 2035200 2035410 2043392 2082688 2087600 2115230 2121600 2162400 2171104 2204800 2212856 2248896 2306560 2342600 2357760 2394600 2440650 2505120 2538276 2554240 2603360 2645760 2672128 2713880 2766070 2811120 2828800 2883200 2947200 2998528 3065088 3124032 3131400 3172845 3192800 3254200 3256656 3307200 3319284 3340160 3384368 3392350 3459840 3513900 3595891 3748160 3831360 3905040 3929600 4008192 4070820 4149105 4165376 4175200 4230460 4243200 4324800 4342208 4409600 4425712 4497792 4685200 4789200 4881300 5010240 5076552 5088525 5108480 5206720 5288075 5291520 5427760 5532140 5622240 5766400 5894400 5997056 6130176 6248064 6262800 6345690 6385600 6508400 6513312 6614400 6638568 6680320 6768736 6784700 6915175 6919680 7027800 7191782 7496320 7662720 7810080 8016384 8141640 8298210 8330752 8350400 8460920 8486400 8649600 8684416 8819200 8851424 8995584 9370400 9578400 9762600 10020480 10153104 10177050 10216960 10413440 10576150 10787673 10855520 11064280 11244480 11532800 11788800 12496128 12525600 12691380 12771200 13016800 13026624 13228800 13277136 13360640 13537472 13569400 13830350 14055600 14383564 14992640 15325440 15620160 15864225 16283280 16596420 16700800 16921840 17299200 17368832 17702848 17979455 17991168 18740800 19156800 19525200 20040960 20306208 20354100 20745525 20826880 21152300 21575346 21711040 22128560 22488960 24992256 25051200 25382760 25542400 26033600 26053248 26457600 26554272 27074944 27138800 27660700 28111200 28767128 29985280 30650880 31240320 31728450 32566560 33192840 33401600 33843680 34598400 34737664 35405696 35958910 37481600 38313600 39050400 40081920 40612416 40708200 41491050 41653760 42304600 43150692 43422080 44257120 44977920 50102400 50765520 51084800 52067200 52106496 53108544 53938365 54149888 54277600 55321400 56222400 57534256 62480640 63456900 65133120 66385680 66803200 67687360 70811392 71917820 74963200 76627200 78100800 81224832 81416400 82982100 84609200 86301384 86844160 88514240 89897275 89955840 100204800 101531040 104134400 104212992 106217088 107876730 108299776 108555200 110642800 112444800 115068512 124961280 126913800 130266240 132771360 135374720 141622784 143835640 149926400 153254400 156201600 162449664 162832800 165964200 169218400 172602768 173688320 177028480 179794550 200409600 203062080 208268800 212434176 215753460 217110400 221285600 224889600 230137024 253827600 260532480 265542720 269691825 270749440 287671280 312403200 324899328 325665600 331928400 338436800 345205536 354056960 359589100 406124160 424868352 431506920 434220800 442571200 449779200 460274048 507655200 521064960 531085440 539383650 541498880 575342560 624806400 651331200 663856800 676873600 690411072 708113920 719178200 812248320 863013840 868441600 885142400 920548096 1015310400 1062170880 1078767300 1150685120 1302662400 1327713600 1353747200 1380822144 1438356400 1624496640 1726027680 1770284800 1841096192 2030620800 2124341760 2157534600 2301370240 2605324800 2655427200 2707494400 2761644288 2876712800 3452055360 3540569600 4061241600 4315069200 4602740480 5310854400 5523288576 5753425600 6904110720 8122483200 8630138400 9205480960 10621708800 11506851200 13808221440 17260276800 23013702400 27616442880 34520553600 46027404800 69041107200 138082214400
- Sum of all divisors σ(n): 531670220928
- Sum of proper divisors (its aliquot sum) s(n): 393588006528
- 138082214400 is an abundant number, because the sum of its proper divisors (393588006528) is greater than itself. Its abundance is 255505792128
Bases of 138082214400
- Binary: 100000001001100101011101100010000000002
- Hexadecimal: 0x2026576200
- Base-36: 1RFML2IO
Squares and roots of 138082214400
- 138082214400 squared (1380822144002) is 19066697933607567360000
- 138082214400 cubed (1380822144003) is 2632771871968437081665961984000000
-
The
square root of 138082214400 is 371594.1528065263 -
The
cube root of 138082214400 is 5168.6752688867
Scales and comparisons
How big is 138082214400?- 138,082,214,400 seconds is equal to 4,390 years, 30 weeks, 3 days, 18 hours, 40 minutes.
-
To count from 1 to 138,082,214,400 would take you about eight thousand, seven hundred eighty-one 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 138082214400 cubic inches would be around 430.7 feet tall.
Recreational maths with 138082214400
- 138082214400 backwards is 004412280831
- The number of decimal digits it has is: 12
- The sum of 138082214400's digits is 33
- More coming soon!
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The information we have on file for 138082214400 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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