138068284200
138,068,284,200 is an even composite number composed of eight prime numbers multiplied together.
138068284200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138068284200:
23 × 3 × 52 × 7 × 112 × 19 × 79 × 181
(2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 11 × 19 × 79 × 181)See below for interesting mathematical facts about the number 138068284200 from the Numbermatics database.
Names of 138068284200
- Cardinal: 138068284200 can be written as One hundred thirty-eight billion, sixty-eight million, two hundred eighty-four thousand, two hundred.
Scientific notation
- Scientific notation: 1.380682842 × 1011
Factors of 138068284200
Divisors of 138068284200
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 19 20 21 22 24 25 28 30 33 35 38 40 42 44 50 55 56 57 60 66 70 75 76 77 79 84 88 95 100 105 110 114 120 121 132 133 140 150 152 154 158 165 168 175 181 190 200 209 210 220 228 231 237 242 264 266 275 280 285 300 308 316 330 350 362 363 380 385 395 399 418 420 440 456 462 474 475 484 525 532 543 550 553 570 600 605 616 627 632 660 665 700 724 726 760 770 790 798 825 836 840 847 869 905 924 948 950 968 1045 1050 1064 1086 1100 1106 1140 1155 1185 1210 1254 1267 1320 1330 1400 1425 1448 1452 1463 1501 1540 1580 1596 1650 1659 1672 1694 1738 1810 1815 1848 1896 1900 1925 1975 1991 1995 2090 2100 2172 2200 2212 2280 2299 2310 2370 2420 2508 2534 2541 2607 2660 2715 2765 2850 2904 2926 3002 3025 3080 3135 3160 3192 3300 3318 3325 3388 3439 3476 3620 3630 3800 3801 3850 3950 3982 3990 4180 4200 4235 4344 4345 4389 4424 4503 4525 4598 4620 4740 4840 5016 5068 5082 5214 5225 5320 5430 5530 5700 5775 5852 5925 5973 6004 6050 6083 6270 6335 6600 6636 6650 6776 6878 6897 6952 7240 7260 7315 7505 7602 7700 7900 7964 7980 8295 8360 8470 8690 8778 9006 9050 9075 9196 9240 9480 9559 9955 9975 10136 10164 10317 10428 10450 10507 10860 11060 11400 11495 11550 11704 11850 11946 12008 12100 12166 12540 12670 12705 13035 13272 13300 13575 13756 13794 13825 13937 14299 14520 14630 15010 15204 15400 15675 15800 15928 15960 16093 16511 16590 16940 17195 17380 17556 18012 18100 18150 18249 18392 19005 19118 19910 19950 20328 20634 20856 20900 21014 21175 21720 21725 21901 21945 22120 22515 22990 23100 23700 23892 24073 24200 24332 25080 25340 25410 26070 26600 27150 27512 27588 27650 27874 28598 28677 29260 29865 30020 30408 30415 31350 31521 31675 32186 33022 33180 33880 34390 34485 34760 35112 36024 36200 36300 36498 36575 37525 37829 38010 38236 39820 39900 41268 41475 41800 41811 42028 42350 42897 43450 43802 43890 45030 45980 46200 47400 47784 47795 48146 48279 48664 49533 49775 50680 50820 51585 52140 52535 54300 55176 55300 55748 57196 57354 57475 58520 59730 60040 60830 62700 63042 63350 63525 64372 65175 65703 66044 66360 66913 68780 68970 69685 71495 72219 72600 72996 73150 75050 75658 76020 76472 79640 79800 80465 82536 82555 82950 83622 84056 84700 85794 85975 86900 87604 87780 90060 91245 91960 95025 95590 96292 96558 99066 99550 100093 101640 103170 104280 105070 108600 109505 109725 110600 111496 112575 113487 114392 114708 114950 115577 119460 120365 121660 125400 126084 126700 127050 128744 130350 131406 132088 133826 137560 137940 139370 142990 143385 144438 145992 146300 149325 150100 151316 152040 152075 153307 157289 157605 160930 165110 165900 167244 169400 171588 171950 172425 173800 175208 175560 180120 181621 182490 189145 190050 191180 192584 193116 198132 199100 200186 200739 206340 209055 210140 214485 219010 219450 225150 226974 229416 229900 231154 238920 238975 240730 241395 243320 247665 252168 253400 254100 257925 260700 262675 262812 264803 267652 271681 275880 278740 285980 286770 288876 292600 298650 300200 300279 302632 304150 306614 314578 315210 321860 328515 330220 331800 334488 334565 343176 343900 344850 346731 348425 357475 361095 363242 364980 378290 380100 382360 386232 396264 398200 400372 401478 402325 412680 412775 416119 418110 420280 428970 438020 438900 450300 453948 456225 459800 459921 462308 471867 477950 481460 482790 495330 500465 508200 515850 521400 525350 525624 529606 535304 543362 544863 547525 557480 567435 571960 573540 577752 577885 597300 600558 601825 608300 613228 629156 630420 643720 657030 660440 669130 687800 689700 693462 696850 714950 716925 722190 726484 729960 756580 760200 766535 786445 788025 794409 800744 802956 804650 815043 825550 832238 836220 857940 876040 877800 900600 907896 908105 912450 919842 924616 943734 945725 955900 962920 965580 990660 1000930 1003695 1031700 1045275 1050700 1059212 1072425 1086724 1089726 1095050 1101023 1134870 1147080 1155770 1194600 1201116 1203650 1206975 1216600 1226456 1238325 1248357 1258312 1260840 1271347 1314060 1324015 1338260 1358405 1379400 1386924 1393700 1429900 1433850 1444380 1452968 1501395 1513160 1533070 1572890 1576050 1588818 1605912 1609300 1630086 1642575 1651100 1664476 1672440 1672825 1715880 1730179 1733655 1805475 1816210 1824900 1839684 1887468 1891450 1901767 1911800 1931160 1981320 2001860 2007390 2063400 2080595 2090550 2101400 2118424 2144850 2173448 2179452 2190100 2202046 2269740 2299605 2311540 2359335 2402232 2407300 2413950 2476650 2496714 2502325 2542694 2628120 2648030 2676520 2716810 2724315 2773848 2787400 2837175 2859800 2867700 2888760 2889425 2912833 2988491 3002790 3066140 3145780 3152100 3177636 3218600 3260172 3285150 3302200 3303069 3328952 3345650 3460358 3467310 3610950 3632420 3649800 3679368 3774936 3782900 3803534 3814041 3832675 3932225 3972045 4003720 4014780 4075215 4161190 4181100 4289700 4358904 4380200 4404092 4539480 4540525 4599210 4623080 4718670 4814600 4827900 4953300 4993428 5004650 5018475 5085388 5190537 5296060 5433620 5448630 5505115 5674350 5705301 5735400 5778850 5825666 5976982 6005580 6132280 6241785 6291560 6304200 6355272 6356735 6520344 6570300 6606138 6620075 6691300 6792025 6920716 6934620 7221900 7264840 7506975 7565800 7607068 7628082 7665350 7864450 7944090 8029560 8150430 8322380 8362200 8579400 8650895 8668275 8738499 8808184 8965473 9081050 9198420 9437340 9508835 9655800 9906600 9986856 10009300 10036950 10170776 10381074 10402975 10592120 10867240 10897260 11010230 11348700 11410602 11498025 11557700 11651332 11796675 11953964 12011160 12111253 12483570 12713470 13140600 13212276 13240150 13382600 13584050 13621575 13841432 13869240 14443800 14564165 14942455 15013950 15214136 15256164 15330700 15728900 15888180 16300860 16515345 16644760 17301790 17336550 17476998 17930946 18162100 18396840 18874680 19017670 19070205 19860225 20018600 20073900 20376075 20762148 20805950 20919437 21794520 22020460 22697400 22821204 22996050 23115400 23302664 23593350 23907928 24222506 24967140 25426940 25952685 26424552 26480300 27168100 27243150 27525575 28526505 29128330 29884910 30027900 30512328 30661400 31208925 31457800 31776360 31783675 32601720 32873401 33030690 34603580 34673100 34953996 35861892 36324200 36333759 38035340 38140410 39720450 40147800 40752150 41524296 41611900 41838874 43254475 43692495 44040920 44827365 45642408 45992100 47186700 47544175 48445012 49934280 50853880 51905370 52960600 54336200 54486300 55051150 57053010 58256660 59769820 60055800 60556265 62417850 62758311 63567350 65746802 66061380 69207160 69346200 69907992 71723784 72667518 72820825 74712275 76070680 76280820 79440900 81504300 82576725 83223800 83677748 86508950 87384990 89654730 91984200 94373400 95088350 95351025 96890024 98620203 103810740 104597185 108972600 110102300 114106020 116513320 119539640 121112530 124835700 125516622 127134700 129763425 131493604 132122760 142632525 145335036 145641650 149424550 152561640 158881800 163008600 164367005 165153450 167355496 173017900 174769980 179309460 181668795 190176700 190702050 197240406 207621480 209194370 218462475 220204600 224136825 228212040 230113807 242225060 249671400 251033244 254269400 259526850 262987208 285265050 290670072 291283300 298849100 302781325 313791555 328734010 330306900 346035800 349539960 358618920 363337590 380353400 381404100 394480812 418388740 436924950 448273650 460227614 484450120 493101015 502066488 519053700 522985925 570530100 582566600 597698200 605562650 627583110 657468020 660613800 690341421 726675180 762808200 788961624 821835025 836777480 873849900 896547300 908343975 920455228 986202030 1038107400 1045971850 1141060200 1150569035 1211125300 1255166220 1314936040 1380682842 1453350360 1568957775 1643670050 1747699800 1793094600 1816687950 1840910456 1972404060 2091943700 2301138070 2422250600 2465505075 2510332440 2761365684 3137915550 3287340100 3451707105 3633375900 3944808120 4183887400 4602276140 4931010150 5522731368 5752845175 6275831100 6574680200 6903414210 7266751800 9204552280 9862020300 11505690350 12551662200 13806828420 17258535525 19724040600 23011380700 27613656840 34517071050 46022761400 69034142100 138068284200
- Sum of all divisors σ(n): 576296448000
- Sum of proper divisors (its aliquot sum) s(n): 438228163800
- 138068284200 is an abundant number, because the sum of its proper divisors (438228163800) is greater than itself. Its abundance is 300159879600
Bases of 138068284200
- Binary: 100000001001011000001011010011001010002
- Hexadecimal: 0x202582D328
- Base-36: 1RFEAHWO
Squares and roots of 138068284200
- 138068284200 squared (1380682842002) is 19062851101931969640000
- 138068284200 cubed (1380682842003) is 2631975143603826353321291688000000
-
The
square root of 138068284200 is 371575.4084973869 -
The
cube root of 138068284200 is 5168.5014519039
Scales and comparisons
How big is 138068284200?- 138,068,284,200 seconds is equal to 4,390 years, 7 weeks, 3 days, 13 hours, 10 minutes.
-
To count from 1 to 138,068,284,200 would take you about eight thousand, seven hundred eighty 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 138068284200 cubic inches would be around 430.7 feet tall.
Recreational maths with 138068284200
- 138068284200 backwards is 002482860831
- 138068284200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138068284200's digits is 42
- More coming soon!
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The information we have on file for 138068284200 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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