138306634816000
138,306,634,816,000 is an even composite number composed of five prime numbers multiplied together.
138306634816000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138306634816000:
29 × 53 × 72 × 292 × 2292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 29 × 29 × 229 × 229)See below for interesting mathematical facts about the number 138306634816000 from the Numbermatics database.
Names of 138306634816000
- Cardinal: 138306634816000 can be written as One hundred thirty-eight trillion, three hundred six billion, six hundred thirty-four million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38306634816 × 1014
Factors of 138306634816000
Divisors of 138306634816000
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 49 50 56 58 64 70 80 98 100 112 116 125 128 140 145 160 175 196 200 203 224 229 232 245 250 256 280 290 320 350 392 400 406 448 458 464 490 500 512 560 580 640 700 725 784 800 812 841 875 896 916 928 980 1000 1015 1120 1145 1160 1225 1280 1400 1421 1450 1568 1600 1603 1624 1682 1750 1792 1832 1856 1960 2000 2030 2240 2290 2320 2450 2560 2800 2842 2900 3136 3200 3206 3248 3364 3500 3584 3625 3664 3712 3920 4000 4060 4205 4480 4580 4640 4900 5075 5600 5684 5725 5800 5887 6125 6272 6400 6412 6496 6641 6728 7000 7105 7250 7328 7424 7840 8000 8015 8120 8410 8960 9160 9280 9800 10150 11200 11221 11368 11450 11600 11774 12250 12544 12800 12824 12992 13282 13456 14000 14210 14500 14656 14848 15680 16000 16030 16240 16820 17920 18320 18560 19600 20300 21025 22400 22442 22736 22900 23200 23548 24500 25088 25375 25648 25984 26564 26912 28000 28420 28625 29000 29312 29435 31360 32000 32060 32480 33205 33640 35525 36640 37120 39200 40075 40600 41209 42050 44800 44884 45472 45800 46400 46487 47096 49000 50750 51296 51968 52441 53128 53824 56000 56105 56840 57250 58000 58624 58870 62720 64000 64120 64960 66410 67280 71050 73280 74240 78400 80150 81200 82418 84100 89600 89768 90944 91600 92800 92974 94192 98000 101500 102592 103936 104882 105125 106256 107648 112000 112210 113680 114500 116000 117248 117740 125440 128240 129920 132820 134560 142100 146560 147175 156800 160300 162400 164836 166025 168200 177625 179536 181888 183200 185600 185948 188384 192589 196000 200375 203000 205184 206045 209764 210250 212512 215296 224000 224420 227360 229000 232000 232435 235480 256480 259840 262205 265640 269120 280525 284200 293120 294350 313600 320600 324800 325409 329672 332050 336400 355250 359072 363776 366400 367087 371200 371896 376768 385178 392000 400750 406000 410368 412090 419528 420500 425024 430592 448000 448840 454720 458000 464000 464870 470960 512960 519680 524410 531280 538240 561050 568400 586240 588700 627200 641200 649600 650818 659344 664100 672800 710500 718144 727552 732800 734174 735875 743792 753536 770356 784000 801500 812000 820736 824180 830125 839056 841000 850048 897680 909440 916000 928000 929740 941920 962945 1025920 1030225 1048820 1062560 1076480 1122100 1136800 1162175 1177400 1282400 1299200 1301636 1311025 1318688 1328200 1345600 1348123 1402625 1421000 1436288 1465600 1468348 1471750 1487584 1507072 1520789 1540712 1568000 1603000 1624000 1627045 1648360 1660250 1678112 1682000 1700096 1795360 1818880 1832000 1835435 1856000 1859480 1883840 1925890 2051840 2060450 2097640 2125120 2152960 2244200 2273600 2324350 2354800 2564800 2569609 2598400 2603272 2622050 2637376 2656400 2691200 2696246 2805250 2842000 2872576 2931200 2936696 2943500 2975168 3014144 3041578 3081424 3136000 3206000 3248000 3254090 3296720 3320500 3356224 3364000 3400192 3590720 3637760 3664000 3670870 3718960 3767680 3851780 4103680 4120900 4195280 4250240 4488400 4547200 4648700 4709600 4814725 5129600 5139218 5151125 5206544 5244100 5274752 5312800 5382400 5392492 5610500 5684000 5745152 5810875 5873392 5887000 5950336 6083156 6162848 6412000 6496000 6508180 6555125 6593440 6641000 6712448 6728000 6740615 7181440 7328000 7341740 7437920 7535360 7603945 7703560 8135225 8241800 8390560 8500480 8976800 9094400 9177175 9297400 9419200 9436861 9629450 10259200 10278436 10302250 10413088 10488200 10549504 10625600 10645523 10764800 10784984 11221000 11368000 11621750 11746784 11774000 11900672 12166312 12325696 12824000 12848045 12992000 13016360 13110250 13186880 13282000 13424896 13456000 13481230 14362880 14656000 14683480 14875840 15070720 15207890 15407120 16270450 16483600 16781120 17000960 17953600 18188800 18354350 18594800 18838400 18873722 19258900 20518400 20556872 20604500 20826176 20976400 21099008 21251200 21291046 21569968 22442000 22736000 23243500 23493568 23548000 23801344 24073625 24332624 24651392 25648000 25696090 26032720 26220500 26373760 26564000 26849792 26912000 26962460 28725760 29366960 29751680 30415780 30814240 32540900 32967200 33562240 33703075 35907200 36708700 37189600 37676800 37747444 38019725 38517800 40676125 41113744 41209000 41652352 41952800 42502400 42582092 43139936 44102881 44884000 45472000 45885875 46487000 46987136 47096000 47184305 48147250 48665248 49302784 51296000 51392180 52065440 52441000 52747520 53128000 53227615 53824000 53924920 58733920 59503360 60831560 61628480 64240225 65081800 65934400 67124480 67406150 71814400 73417400 74379200 74518661 75353600 75494888 76039450 77035600 81352250 82227488 82418000 83304704 83905600 85004800 85164184 86279872 88205762 89768000 90944000 91771750 92974000 93974272 94192000 94368610 96294500 97330496 98605568 102592000 102784360 104130880 104882000 105495040 106256000 106455230 107849840 117467840 119006720 121663120 123256960 128480450 130163600 131868800 134248960 134812300 143628800 146834800 148758400 149037322 150989776 152078900 154071200 162704500 164454976 164836000 166609408 167811200 168515375 170328368 172559744 176411524 179536000 183543500 185948000 187948544 188384000 188737220 190098625 192589000 194660992 205568720 208261760 209764000 212512000 212910460 215699680 220514405 234935680 235921525 243326240 246513920 256960900 260327200 263737600 266138075 269624600 293669600 297516800 298074644 301979552 304157800 308142400 308720167 321201125 325409000 328909952 329672000 335622400 337030750 340656736 345119488 352823048 359072000 367087000 371896000 372593305 376768000 377474440 380197250 385178000 389321984 411137440 416523520 419528000 425024000 425820920 431399360 441028810 469871360 471843050 486652480 493027840 513921800 520654400 527475200 532276150 539249200 587339200 595033600 596149288 603959104 608315600 616284800 617440334 642402250 650818000 657819904 659344000 671244800 674061500 681313472 690238976 705646096 718144000 734174000 743792000 745186610 754948880 760394500 770356000 778643968 822274880 833047040 839056000 851641840 862798720 882057620 939742720 943686100 973304960 1027843600 1041308800 1064552300 1078498400 1102572025 1174678400 1179607625 1192298576 1207918208 1216631200 1232569600 1234880668 1284804500 1301636000 1315639808 1318688000 1330690375 1348123000 1362626944 1411292192 1468348000 1487584000 1490373220 1509897760 1520789000 1540712000 1543600835 1644549760 1678112000 1703283680 1725597440 1764115240 1862966525 1887372200 1946609920 2055687200 2082617600 2129104600 2156996800 2161041169 2205144050 2349356800 2359215250 2384597152 2415836416 2433262400 2465139200 2469761336 2569609000 2603272000 2637376000 2661380750 2696246000 2725253888 2822584384 2936696000 2975168000 2980746440 3019795520 3041578000 3081424000 3087201670 3289099520 3356224000 3406567360 3451194880 3528230480 3725933050 3774744400 3893219840 4111374400 4165235200 4258209200 4313993600 4322082338 4410288100 4698713600 4718430500 4769194304 4831672832 4866524800 4939522672 5139218000 5206544000 5322761500 5392492000 5450507776 5512860125 5645168768 5873392000 5961492880 6039591040 6083156000 6162848000 6174403340 6578199040 6813134720 7056460960 7451866100 7549488800 7718004175 8222748800 8516418400 8627987200 8644164676 8820576200 9314832625 9436861000 9538388608 9733049600 9879045344 10278436000 10413088000 10645523000 10784984000 10805205845 11025720250 11290337536 11746784000 11922985760 12079182080 12166312000 12325696000 12348806680 13626269440 14112921920 14903732200 15098977600 15436008350 16445497600 17032836800 17255974400 17288329352 17641152400 18629665250 18873722000 19076777216 19466099200 19758090688 20556872000 20826176000 21291046000 21569968000 21610411690 22051440500 22580675072 23493568000 23845971520 24158364160 24332624000 24697613360 27252538880 28225843840 29807464400 30197955200 30872016700 32890995200 34065673600 34576658704 35282304800 37259330500 37747444000 38153554432 38590020875 39516181376 41113744000 42582092000 43139936000 43220823380 44102881000 47691943040 48665248000 49395226720 54026029225 56451687680 59614928800 60395910400 61744033400 68131347200 69153317408 70564609600 74518661000 75494888000 77180041750 79032362752 82227488000 85164184000 86279872000 86441646760 88205762000 95383886080 97330496000 98790453440 108052058450 112903375360 119229857600 120791820800 123488066800 136262694400 138306634816 141129219200 149037322000 150989776000 154360083500 158064725504 164454976000 170328368000 172883293520 176411524000 190767772160 197580906880 216104116900 238459715200 246976133600 270130146125 276613269632 282258438400 298074644000 301979552000 308720167000 340656736000 345766587040 352823048000 395161813760 432208233800 476919430400 493952267200 540260292250 553226539264 564516876800 596149288000 603959104000 617440334000 681313472000 691533174080 705646096000 790323627520 864416467600 953838860800 987904534400 1080520584500 1106453078528 1192298576000 1234880668000 1383066348160 1411292192000 1728832935200 1975809068800 2161041169000 2384597152000 2469761336000 2766132696320 2822584384000 3457665870400 3951618137600 4322082338000 4769194304000 4939522672000 5532265392640 6915331740800 8644164676000 9879045344000 13830663481600 17288329352000 19758090688000 27661326963200 34576658704000 69153317408000 138306634816000
- Sum of all divisors σ(n): 417315779579556
- Sum of proper divisors (its aliquot sum) s(n): 279009144763556
- 138306634816000 is an abundant number, because the sum of its proper divisors (279009144763556) is greater than itself. Its abundance is 140702509947556
Bases of 138306634816000
- Binary: 111110111001010000001011101011010011010000000002
- Hexadecimal: 0x7DCA05D69A00
- Base-36: 1D0X6VEBR4
Squares and roots of 138306634816000
- 138306634816000 squared (1383066348160002) is 19128725234126383353856000000
- 138306634816000 cubed (1383066348160003) is 2645629615451921803312583097450496000000000
-
The
square root of 138306634816000 is 11760384.1270597961 -
The
cube root of 138306634816000 is 51714.7391174133
Scales and comparisons
How big is 138306634816000?- 138,306,634,816,000 seconds is equal to 4,397,723 years, 9 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,306,634,816,000 would take you about ten million, nine hundred ninety-four thousand, three hundred seven 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 138306634816000 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138306634816000
- 138306634816000 backwards is 000618436603831
- 138306634816000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138306634816000's digits is 49
- More coming soon!
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The information we have on file for 138306634816000 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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