138399967256623800
138,399,967,256,623,800 is an even composite number composed of seven prime numbers multiplied together.
138399967256623800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138399967256623800:
23 × 3 × 52 × 72 × 13 × 19 × 19058631091
(2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 13 × 19 × 19058631091)See below for interesting mathematical facts about the number 138399967256623800 from the Numbermatics database.
Names of 138399967256623800
- Cardinal: 138399967256623800 can be written as One hundred thirty-eight quadrillion, three hundred ninety-nine trillion, nine hundred sixty-seven billion, two hundred fifty-six million, six hundred twenty-three thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383999672566238 × 1017
Factors of 138399967256623800
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 19058631140
Divisors of 138399967256623800
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 19 20 21 24 25 26 28 30 35 38 39 40 42 49 50 52 56 57 60 65 70 75 76 78 84 91 95 98 100 104 105 114 120 130 133 140 147 150 152 156 168 175 182 190 195 196 200 210 228 245 247 260 266 273 280 285 294 300 312 325 350 364 380 390 392 399 420 455 456 475 490 494 520 525 532 546 570 588 600 637 650 665 700 728 735 741 760 780 798 840 910 931 950 975 980 988 1050 1064 1092 1140 1176 1225 1235 1274 1300 1330 1365 1400 1425 1470 1482 1560 1596 1729 1820 1862 1900 1911 1950 1960 1976 1995 2100 2184 2275 2280 2450 2470 2548 2600 2660 2730 2793 2850 2940 2964 3185 3192 3325 3458 3640 3675 3705 3724 3800 3822 3900 3990 4200 4550 4655 4900 4940 5096 5187 5320 5460 5586 5700 5880 5928 6175 6370 6650 6825 6916 7350 7410 7448 7644 7800 7980 8645 9100 9310 9555 9800 9880 9975 10374 10920 11172 11400 12103 12350 12740 13300 13650 13832 13965 14700 14820 15288 15925 15960 17290 18200 18525 18620 19110 19950 20748 22344 23275 24206 24700 25480 25935 26600 27300 27930 29400 29640 31850 34580 36309 37050 37240 38220 39900 41496 43225 46550 47775 48412 49400 51870 54600 55860 60515 63700 69160 69825 72618 74100 76440 79800 86450 93100 95550 96824 103740 111720 121030 127400 129675 139650 145236 148200 172900 181545 186200 191100 207480 242060 259350 279300 290472 302575 345800 363090 382200 484120 518700 558600 605150 726180 907725 1037400 1210300 1452360 1815450 2420600 3630900 7261800 19058631091 38117262182 57175893273 76234524364 95293155455 114351786546 133410417637 152469048728 190586310910 228703573092 247762204183 266820835274 285879466365 362113990729 381172621820 400231252911 457407146184 476465777275 495524408366 533641670548 571758932730 667052088185 724227981458 743286612549 762345243640 800462505822 933872923459 952931554550 991048816732 1067283341096 1086341972187 1143517865460 1238811020915 1334104176370 1429397331825 1448455962916 1486573225098 1600925011644 1734335429281 1810569953645 1867745846918 1905863109100 1982097633464 2001156264555 2172683944374 2287035730920 2477622041830 2534797935103 2668208352740 2801618770377 2858794663650 2896911925832 2973146450196 3201850023288 3335260440925 3468670858562 3621139907290 3716433062745 3735491693836 3811726218200 4002312529110 4345367888748 4669364617295 4707481879477 4955244083660 5069595870206 5203006287843 5336416705480 5431709860935 5603237540754 5717589327300 5946292900392 6194055104575 6670520881850 6937341717124 7242279814580 7432866125490 7470983387672 7604393805309 8004625058220 8671677146405 8690735777496 9052849768225 9338729234590 9414963758954 9910488167320 10005781322775 10139191740412 10406012575686 10863419721870 11206475081508 11435178654600 12140348004967 12388110209150 12673989675515 13341041763700 13874683434248 14008093851885 14122445638431 14484559629160 14865732250980 15208787610618 16009250116440 17343354292810 17743585545721 18105699536450 18582165313725 18677458469180 18829927517908 20011562645550 20278383480824 20812025151372 21726839443740 22412950163016 23346823086475 23537409397385 24280696009934 24776220418300 25347979351030 26015031439215 26682083527400 27158549304675 28016187703770 28244891276862 29731464501960 30417575221236 32952373156339 34686708585620 35487171091442 36211399072900 36421044014901 37164330627450 37354916938360 37659855035816 38021969026545 40023125291100 41624050302744 43358385732025 43453678887480 46693646172950 47074818794770 48561392019868 49552440836600 50695958702060 52030062878430 53230756637163 54317098609350 56032375407540 56489782553724 60701740024835 60835150442472 63369948377575 65904746312678 69373417171240 70040469259425 70612228192155 70974342182884 72422798145800 72842088029802 74328661254900 76043938053090 80046250582200 86716771464050 88717927728605 93387292345900 94149637589540 97122784039736 98857119469017 101391917404120 104060125756860 106461513274326 108634197218700 112064750815080 112979565107448 117687046986925 121403480049670 126739896755150 130075157196075 131809492625356 140080938518850 141224456384310 141948684365768 145684176059604 148657322509800 152087876106180 164761865781695 173433542928100 177435855457210 182105220074505 186774584691800 188299275179080 190109845132725 197714238938034 208120251513720 212923026548652 217268394437400 230666612094373 235374093973850 242806960099340 253479793510300 260150314392150 263618985250712 266153783185815 280161877037700 282448912768620 291368352119208 303508700124175 304175752212360 329523731563390 346867085856200 353061140960775 354871710914420 364210440149010 380219690265450 395428477876068 425846053097304 443589638643025 461333224188746 470748187947700 485613920198680 494285597345085 506959587020600 520300628784300 532307566371630 560323754075400 564897825537240 607017400248350 659047463126780 691999836283119 706122281921550 709743421828840 728420880298020 760439380530900 790856955752136 823809328908475 887179277286050 910526100372525 922666448377492 941496375895400 988571194690170 1040601257568600 1064615132743260 1153333060471865 1214034800496700 1318094926253560 1330768915929075 1383999672566238 1412244563843100 1456841760596040 1520878761061800 1647618657816950 1774358554572100 1821052200745050 1845332896754984 1977142389380340 2129230265486520 2306666120943730 2428069600993400 2471427986725425 2661537831858150 2767999345132476 2824489127686200 3295237315633900 3459999181415595 3548717109144200 3642104401490100 3954284778760680 4613332241887460 4942855973450850 5323075663716300 5535998690264952 5766665302359325 6590474631267800 6919998362831190 7284208802980200 9226664483774920 9885711946901700 10646151327432600 11533330604718650 13839996725662380 17299995907077975 19771423893803400 23066661209437300 27679993451324760 34599991814155950 46133322418874600 69199983628311900 138399967256623800
- Sum of all divisors σ(n): 565766899144675200
- Sum of proper divisors (its aliquot sum) s(n): 427366931888051400
- 138399967256623800 is an abundant number, because the sum of its proper divisors (427366931888051400) is greater than itself. Its abundance is 288966964631427600
Bases of 138399967256623800
- Binary: 1111010111011001000001001011101010100000110111010101110002
- Hexadecimal: 0x1EBB2097541BAB8
- Base-36: 11UQOZ83BZCO
Squares and roots of 138399967256623800
- 138399967256623800 squared (1383999672566238002) is 19154550936634539968684974726440000
- 138399967256623800 cubed (1383999672566238003) is 2650989222445553071378896393550949244682993272000000
-
The
square root of 138399967256623800 is 372021460.7473926363 -
The
cube root of 138399967256623800 is 517263.6925966363
Scales and comparisons
How big is 138399967256623800?- 138,399,967,256,623,800 seconds is equal to 4,400,690,859 years, 28 weeks, 5 days, 14 hours, 10 minutes.
-
To count from 1 to 138,399,967,256,623,800 would take you about thirteen billion, two hundred two million, seventy-two thousand, five hundred seventy-eight 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 138399967256623800 cubic inches would be around 43105.3 feet tall.
Recreational maths with 138399967256623800
- 138399967256623800 backwards is 008326652769993831
- The number of decimal digits it has is: 18
- The sum of 138399967256623800's digits is 87
- More coming soon!
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The information we have on file for 138399967256623800 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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