138086348400
138,086,348,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138086348400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1920 divisors.
138086348400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138086348400:
24 × 33 × 52 × 7 × 11 × 13 × 53 × 241
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 11 × 13 × 53 × 241)See below for interesting mathematical facts about the number 138086348400 from the Numbermatics database.
Names of 138086348400
- Cardinal: 138086348400 can be written as One hundred thirty-eight billion, eighty-six million, three hundred forty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.380863484 × 1011
Factors of 138086348400
Divisors of 138086348400
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 25 26 27 28 30 33 35 36 39 40 42 44 45 48 50 52 53 54 55 56 60 63 65 66 70 72 75 77 78 80 84 88 90 91 99 100 104 105 106 108 110 112 117 120 126 130 132 135 140 143 144 150 154 156 159 165 168 175 176 180 182 189 195 198 200 208 210 212 216 220 225 231 234 240 241 252 260 264 265 270 273 275 280 286 297 300 308 312 315 318 325 330 336 350 351 360 364 371 378 385 390 396 400 420 424 429 432 440 450 455 462 468 477 482 495 504 520 525 528 530 540 546 550 560 572 583 585 594 600 616 624 630 636 650 660 675 689 693 700 702 715 720 723 728 742 756 770 780 792 795 819 825 840 848 858 880 900 910 924 936 945 954 964 975 990 1001 1008 1040 1050 1060 1080 1092 1100 1113 1144 1155 1166 1170 1188 1200 1205 1232 1260 1272 1287 1300 1320 1325 1350 1365 1378 1386 1400 1404 1430 1431 1446 1456 1484 1485 1512 1540 1560 1575 1584 1590 1638 1650 1680 1687 1716 1749 1755 1800 1820 1848 1855 1872 1890 1908 1925 1928 1950 1980 2002 2067 2079 2100 2120 2145 2160 2169 2184 2200 2226 2275 2288 2310 2332 2340 2376 2385 2410 2457 2475 2520 2544 2574 2600 2640 2650 2651 2700 2730 2756 2772 2800 2808 2860 2862 2892 2915 2925 2968 2970 3003 3024 3080 3120 3133 3150 3180 3276 3300 3339 3374 3432 3445 3465 3498 3510 3575 3600 3615 3640 3696 3710 3780 3816 3850 3856 3861 3900 3960 3975 4004 4081 4095 4134 4158 4200 4240 4290 4338 4368 4400 4452 4550 4620 4664 4680 4725 4752 4770 4820 4823 4914 4950 5005 5040 5061 5148 5200 5247 5300 5302 5400 5460 5512 5544 5565 5616 5720 5724 5775 5784 5830 5850 5936 5940 6006 6025 6160 6201 6266 6300 6360 6435 6507 6552 6600 6678 6748 6825 6864 6890 6930 6996 7020 7150 7155 7230 7280 7420 7425 7560 7579 7632 7700 7722 7800 7920 7950 7953 8008 8162 8190 8268 8316 8400 8435 8580 8676 8745 8775 8904 9009 9100 9240 9275 9328 9360 9399 9450 9540 9640 9646 9828 9900 10010 10017 10122 10296 10335 10395 10494 10600 10604 10725 10800 10845 10920 11024 11088 11130 11440 11448 11550 11568 11660 11700 11880 11925 12012 12050 12243 12285 12402 12532 12600 12720 12773 12870 13014 13104 13200 13255 13356 13496 13650 13780 13860 13992 14040 14300 14310 14460 14469 14575 14840 14850 15015 15120 15158 15183 15400 15444 15600 15665 15741 15900 15906 16016 16324 16380 16536 16632 16695 16870 17160 17225 17325 17352 17490 17550 17808 18018 18075 18200 18480 18550 18557 18603 18798 18900 19080 19280 19292 19305 19656 19800 20020 20034 20244 20405 20475 20592 20670 20790 20988 21200 21208 21450 21690 21840 21931 22260 22737 22896 23100 23320 23400 23760 23850 23859 24024 24100 24115 24486 24570 24804 25025 25064 25200 25305 25546 25740 26028 26235 26510 26712 26992 27027 27300 27560 27720 27825 27984 28080 28197 28600 28620 28920 28938 29150 29680 29700 30030 30316 30366 30800 30888 31005 31330 31482 31800 31812 32175 32535 32648 32760 33072 33264 33390 33740 34320 34450 34463 34650 34704 34980 35100 35775 36036 36150 36400 36729 37100 37114 37206 37596 37800 37895 38160 38319 38584 38610 39312 39600 39765 40040 40068 40488 40810 40950 41340 41580 41976 42175 42416 42900 43380 43407 43725 43862 44520 45045 45474 45549 46200 46640 46800 46995 47700 47718 48048 48200 48230 48972 49140 49608 50050 50085 50128 50610 51092 51480 51675 51975 52056 52470 53020 53053 53424 54054 54225 54600 55120 55440 55650 55671 56394 57200 57240 57840 57876 58300 59400 60060 60632 60732 61215 61425 61776 62010 62660 62964 63600 63624 63865 64350 65070 65296 65520 65793 66275 66780 67480 68211 68900 68926 69300 69960 70200 71550 71577 72072 72300 72345 73458 74200 74228 74412 75075 75192 75600 75790 75915 76638 77168 77220 78325 78705 79530 80080 80136 80976 81620 81900 82680 83160 83475 83952 84350 84591 85800 86760 86814 87450 87724 89040 89411 90090 90948 91098 92400 92785 93015 93990 95400 95436 96400 96460 96525 97944 98280 99216 100100 100170 101220 102025 102184 102960 103350 103389 103950 104112 104940 106040 106106 108108 108450 109200 109655 110187 111300 111342 112788 113685 114480 114957 115752 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3643920 3653078 3672900 3711400 3720600 3722004 3759600 3793581 3819816 3831900 3859856 3934084 3947580 3978975 3985176 4006800 4008312 4023495 4092660 4135560 4151225 4175325 4215090 4229550 4244240 4291728 4340700 4342338 4386200 4407480 4453680 4470550 4483323 4547400 4554900 4598280 4649372 4652505 4737096 4771800 4774770 4824820 4828194 4897200 4917605 4934475 4962672 4981470 5010390 5058108 5109200 5115825 5169450 5208840 5263440 5305300 5364660 5405400 5456880 5479617 5509350 5517936 5567100 5620120 5639400 5726160 5729724 5747850 5787600 5789784 5811715 5901126 5921370 5977764 6031025 6073200 6203340 6296400 6322635 6366360 6437592 6511050 6513507 6579300 6641960 6680520 6705825 6744144 6767280 6821100 6892600 6897420 6974058 7025150 7152880 7157700 7162155 7237230 7306156 7345800 7422800 7441200 7444008 7472205 7587162 7639632 7663800 7754175 7868168 7895160 7957950 7970352 8016624 8046990 8185320 8271120 8302450 8350650 8430180 8459100 8621775 8681400 8684676 8772400 8814960 8851689 8941100 8966646 9094800 9109800 9132695 9196560 9298744 9305010 9474192 9543600 9549540 9649640 9656388 9835210 9868950 9962940 10020780 10116216 10231650 10338900 10417680 10461087 10537725 10610600 10729320 10810800 10855845 10959234 11018700 11134200 11240240 11278800 11459448 11495700 11579568 11623430 11802252 11842740 11936925 11955528 12062050 12070485 12406680 12453675 12525975 12645270 12732720 12785773 12875184 13022100 13027014 13158600 13283920 13361040 13411650 13642200 13785200 13794840 13948116 14050300 14315400 14324310 14474460 14612312 14691600 14752815 14803425 14888016 14944410 15174324 15327600 15508350 15736336 15790320 15915900 16093980 16370640 16438851 16604900 16701300 16860360 16918200 17243550 17362800 17369352 17435145 17703378 17882200 17933292 18093075 18219600 18265390 18597488 18610020 18967905 19099080 19299280 19312776 19670420 19737900 19925880 20041560 20117475 20232432 20463300 20677800 20922174 21075450 21221200 21458640 21711690 21918468 22037400 22268400 22416615 22918896 22991400 23246860 23262525 23604504 23685480 23873850 23911056 24124100 24140970 24588025 24813360 24907350 25051950 25290540 25571546 26044200 26054028 26317200 26555067 26823300 27284400 27398085 27589680 27896232 28100600 28630800 28648620 28948920 29058575 29224624 29505630 29606850 29888820 30348648 31016700 31383261 31613175 31831800 32187960 32567535 32877702 33209800 33402600 33720720 33836400 34487100 34738704 34870290 35406756 35764400 35810775 35866584 36186150 36530780 37220040 37361025 37935810 38198160 38357319 38625552 39340840 39475800 39851760 40083120 40234950 40926600 41355600 41844348 42150900 43423380 43836936 44074800 44258445 44833230 45663475 45982800 46493720 46525050 47209008 47370960 47747700 48248200 48281940 49176050 49316553 49814700 50103900 50581080 51143092 52088400 52108056 52305435 53110134 53646600 54279225 54796170 55792464 56201200 57297240 57897840 58117150 59011260 59213700 59777640 60352425 60697296 62033400 62766522 63226350 63663600 63928865 64375920 65135070 65755404 66419600 66805200 68974200 69740580 70813512 71621550 71733168 72372300 73061560 73764075 74440080 74722050 75871620 76714638 78681680 78951600 80469900 81853200 82194255 83688696 84301800 86846760 87175725 87673872 88516890 89666460 91326950 92987440 93050100 94839525 95495400 96496400 96563880 98352100 98633106 99629400 100207800 101162160 102286184 104216112 104610870 106220268 107293200 108558450 109592340 112083075 114594480 115071957 116234300 118022520 118427400 119555280 120704850 124066800 125533044 126452700 127857730 130270140 131510808 132775335 136990425 137948400 139481160 141627024 143243100 144744600 146123120 147528150 149444100 151743240 153429276 156916305 160939800 162837675 164388510 167377392 168603600 173693520 174351450 177033780 179332920 182653900 186100200 189679050 190990800 191786595 193127760 196704200 197266212 199258800 200415600 204572368 209221740 212440536 217116900 219184680 221292225 224166150 230143914 232468600 236045040 236854800 241409700 246582765 251066088 252905400 255715460 260540280 261527175 263021616 265550670 273980850 278962320 286486200 289489200 295056300 298888200 303486480 306858552 313832610 319644325 321879600 325675350 328777020 345215871 348702900 354067560 358665840 365307800 372200400 379358100 383573190 393408400 394532424 410971275 418443480 424881072 434233800 438369360 442584450 448332300 460287828 464937200 482819400 493165530 502132176 505810800 511430920 521080560 523054350 531101340 547961700 572972400 575359785 590112600 597776400 613717104 627665220 639288650 651350700 657554040 663876675 690431742 697405800 708135120 730615600 758716200 767146380 784581525 789064848 821942550 836886960 868467600 885168900 896664600 920575656 958932975 965638800 986331060 1022861840 1046108700 1062202680 1095923400 1150719570 1180225200 1232913825 1255330440 1278577300 1302701400 1315108080 1327753350 1380863484 1394811600 1517432400 1534292760 1569163050 1643885100 1726079355 1770337800 1793329200 1841151312 1917865950 1972662120 2092217400 2124405360 2191846800 2301439140 2465827650 2510660880 2557154600 2605402800 2655506700 2761726968 2876798925 3068585520 3138326100 3287770200 3452158710 3540675600 3835731900 3945324240 4184434800 4602878280 4931655300 5114309200 5311013400 5523453936 5753597850 6276652200 6575540400 6904317420 7671463800 8630396775 9205756560 9863310600 10622026800 11507195700 12553304400 13808634840 15342927600 17260793550 19726621200 23014391400 27617269680 34521587100 46028782800 69043174200 138086348400
- Sum of all divisors σ(n): 675136788480
- Sum of proper divisors (its aliquot sum) s(n): 537050440080
- 138086348400 is an abundant number, because the sum of its proper divisors (537050440080) is greater than itself. Its abundance is 398964091680
Bases of 138086348400
- Binary: 100000001001101001011001110110011100002
- Hexadecimal: 0x2026967670
- Base-36: 1RFP1OC0
Squares and roots of 138086348400
- 138086348400 squared (1380863484002) is 19067839614446182560000
- 138086348400 cubed (1380863484003) is 2633008344235737238030163904000000
-
The
square root of 138086348400 is 371599.7152851439 -
The
cube root of 138086348400 is 5168.7268494865
Scales and comparisons
How big is 138086348400?- 138,086,348,400 seconds is equal to 4,390 years, 37 weeks, 2 days, 15 hours.
-
To count from 1 to 138,086,348,400 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 138086348400 cubic inches would be around 430.7 feet tall.
Recreational maths with 138086348400
- 138086348400 backwards is 004843680831
- 138086348400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138086348400's digits is 45
- More coming soon!
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"Number 138086348400 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 138086348400 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138086348400/
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The information we have on file for 138086348400 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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