138878993841120
138,878,993,841,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138878993841120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138878993841120 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 138878993841120:
25 × 34 × 5 × 13 × 19 × 331 × 131071
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 19 × 331 × 131071)See below for interesting mathematical facts about the number 138878993841120 from the Numbermatics database.
Names of 138878993841120
- Cardinal: 138878993841120 can be written as One hundred thirty-eight trillion, eight hundred seventy-eight billion, nine hundred ninety-three million, eight hundred forty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3887899384112 × 1014
Factors of 138878993841120
Divisors of 138878993841120
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 27 30 32 36 38 39 40 45 48 52 54 57 60 65 72 76 78 80 81 90 95 96 104 108 114 117 120 130 135 144 152 156 160 162 171 180 190 195 208 216 228 234 240 247 260 270 285 288 304 312 324 331 342 351 360 380 390 405 416 432 456 468 480 494 513 520 540 570 585 608 624 648 662 684 702 720 741 760 780 810 855 864 912 936 988 993 1026 1040 1053 1080 1140 1170 1235 1248 1296 1324 1368 1404 1440 1482 1520 1539 1560 1620 1655 1710 1755 1824 1872 1976 1986 2052 2080 2106 2160 2223 2280 2340 2470 2565 2592 2648 2736 2808 2964 2979 3040 3078 3120 3240 3310 3420 3510 3705 3744 3952 3972 4104 4212 4303 4320 4446 4560 4680 4940 4965 5130 5265 5296 5472 5616 5928 5958 6156 6240 6289 6480 6620 6669 6840 7020 7410 7695 7904 7944 8208 8424 8606 8892 8937 9120 9360 9880 9930 10260 10530 10592 11115 11232 11856 11916 12312 12578 12909 12960 13240 13338 13680 14040 14820 14895 15390 15888 16416 16848 17212 17784 17874 18720 18867 19760 19860 20007 20520 21060 21515 22230 23712 23832 24624 25156 25818 26480 26676 26811 27360 28080 29640 29790 30780 31445 31776 33345 33696 34424 35568 35748 37734 38727 39520 39720 40014 41040 42120 43030 44460 44685 47664 49248 50312 51636 52960 53352 53622 56160 56601 59280 59580 61560 62890 64545 66690 68848 71136 71496 75468 77454 79440 80028 81757 82080 84240 86060 88920 89370 94335 95328 100035 100624 103272 106704 107244 113202 116181 118560 119160 123120 125780 129090 131071 133380 134055 137696 142992 150936 154908 158880 160056 163514 168480 169803 172120 177840 178740 188670 193635 200070 201248 206544 213408 214488 226404 232362 238320 245271 246240 251560 258180 262142 266760 268110 283005 285984 301872 309816 320112 327028 339606 344240 348543 355680 357480 377340 387270 393213 400140 408785 413088 428976 452808 464724 476640 490542 503120 509409 516360 524284 533520 536220 566010 580905 603744 619632 640224 654056 655355 679212 688480 697086 714960 735813 754680 774540 786426 800280 817570 849015 857952 905616 929448 981084 1006240 1018818 1032720 1048568 1067040 1072440 1132020 1161810 1179639 1226355 1239264 1308112 1310710 1358424 1394172 1429920 1471626 1509360 1549080 1572852 1600560 1635140 1698030 1703923 1742715 1811232 1858896 1962168 1966065 2037636 2065440 2097136 2144880 2207439 2264040 2323620 2359278 2452710 2490349 2547045 2616224 2621420 2716848 2788344 2943252 3018720 3098160 3145704 3201120 3270280 3396060 3407846 3485430 3538917 3679065 3717792 3924336 3932130 4075272 4194272 4289760 4414878 4528080 4647240 4718556 4905420 4980698 5094090 5111769 5242840 5433696 5576688 5886504 5898195 6196320 6291408 6540560 6622317 6792120 6815692 6970860 7077834 7358130 7471047 7848672 7864260 8150544 8519615 8829756 9056160 9294480 9437112 9810840 9961396 10188180 10223538 10485680 10616751 11037195 11153376 11773008 11796390 12451745 12582816 13081120 13244634 13584240 13631384 13941720 14155668 14716260 14942094 15335307 15728520 16301088 17039230 17659512 17694585 18588960 18874224 19621680 19922792 20376360 20447076 20971360 21233502 22074390 22413141 23546016 23592780 24903490 25558845 26489268 27168480 27262768 27883440 28311336 29432520 29884188 30670614 31457040 32374537 33111585 34078460 35319024 35389170 37355235 37748448 39243360 39845584 40752720 40894152 42467004 43384501 44148780 44826282 46005921 47185560 49806980 51117690 52978536 53083755 54525536 55766880 56622672 58865040 59768376 61341228 62914080 64749074 66223170 67239423 68156920 70638048 70778340 74710470 76676535 79691168 81505440 81788304 84934008 86769002 88297560 89652564 92011842 94371120 97123611 99613960 102235380 105957072 106167510 112065705 113245344 117730080 119536752 122682456 129498148 130153503 132446340 134478846 136313840 138017763 141556680 149420940 153353070 161872685 163576608 169868016 173538004 176595120 179305128 184023684 188742240 194247222 199227920 201718269 204470760 211914144 212335020 216922505 224131410 230029605 239073504 245364912 258996296 260307006 264892680 268957692 272627680 276035526 283113360 291370833 298841880 306706140 323745370 336197115 339736032 347076008 353190240 358610256 368047368 388494444 390460509 398455840 403436538 408941520 424670040 433845010 448262820 460059210 485618055 490729824 517992592 520614012 529785360 537915384 552071052 563998513 566226720 582741666 597683760 613412280 647490740 650767515 672394230 690088815 694152016 717220512 736094736 776988888 780921018 806873076 817883040 824305519 849340080 867690020 874112499 896525640 920118420 971236110 1008591345 1035985184 1041228024 1059570720 1075830768 1104142104 1127997026 1165483332 1171381527 1195367520 1226824560 1294981480 1301535030 1344788460 1380177630 1388304032 1456854165 1472189472 1553977776 1561842036 1613746152 1648611038 1691995539 1698680160 1735380040 1748224998 1793051280 1840236840 1942472220 1952302545 2017182690 2082456048 2151661536 2208284208 2255994052 2330966664 2342763054 2453649120 2472916557 2589962960 2603070060 2622337497 2689576920 2760355260 2819992565 2913708330 3107955552 3123684072 3227492304 3297222076 3383991078 3470760080 3496449996 3514144581 3586102560 3680473680 3884944440 3904605090 4034365380 4121527595 4164912096 4370562495 4416568416 4511988104 4661933328 4685526108 4945833114 5075986617 5179925920 5206140120 5244674994 5379153840 5520710520 5639985130 5827416660 5856907635 6247368144 6454984608 6594444152 6767982156 6941520160 6992899992 7028289162 7360947360 7418749671 7769888880 7809210180 8068730760 8243055190 8459977695 8741124990 9023976208 9323866656 9371052216 9891666228 10151973234 10412280240 10489349988 10715971747 10758307680 11041421040 11279970260 11654833320 11713815270 12364582785 12494736288 13111687485 13188888304 13535964312 13985799984 14056578324 14837499342 15227959851 15539777760 15618420360 16137461520 16486110380 16919955390 17482249980 17570722905 18047952416 18742104432 19783332456 20303946468 20824560480 20978699976 21431943494 22082842080 22256249013 22559940520 23309666640 23427630540 24729165570 25379933085 26223374970 26377776608 27071928624 27971599968 28113156648 29674998684 30455919702 31236840720 32147915241 32274923040 32972220760 33839910780 34964499960 35141445810 37093748355 37484208864 39566664912 40607892936 41957399952 42863886988 44512498026 45119881040 45683879553 46619333280 46855261080 49458331140 50759866170 52446749940 53579858735 54143857248 56226313296 59349997368 60911839404 62473681440 64295830482 65944441520 66768747039 67679821560 69928999920 70282891620 74187496710 76139799255 79133329824 81215785872 83914799904 85727773976 89024996052 90239762080 91367759106 93710522160 96443745723 98916662280 101519732340 104893499880 107159717470 111281245065 112452626592 118699994736 121823678808 128591660964 131888883040 133537494078 135359643120 139857999840 140565783240 148374993420 152279598510 160739576205 162431571744 171455547952 178049992104 182735518212 187421044320 192887491446 197833324560 203039464680 209786999760 214319434940 222562490130 228419397765 237399989472 243647357616 257183321928 267074988156 270719286240 281131566480 289331237169 296749986840 304559197020 321479152410 333843735195 342911095904 356099984208 365471036424 385774982892 395666649120 406078929360 419573999520 428638869880 445124980260 456838795530 482218728615 487294715232 514366643856 534149976312 562263132960 578662474338 593499973680 609118394040 642958304820 667687470390 712199968416 730942072848 771549965784 812157858720 857277739760 867993711507 890249960520 913677591060 964437457230 1028733287712 1068299952624 1157324948676 1186999947360 1218236788080 1285916609640 1335374940780 1446656185845 1461884145696 1543099931568 1714555479520 1735987423014 1780499921040 1827355182120 1928874914460 2136599905248 2314649897352 2436473576160 2571833219280 2670749881560 2893312371690 3086199863136 3471974846028 3560999842080 3654710364240 3857749828920 4339968557535 4629299794704 5143666438560 5341499763120 5786624743380 6943949692056 7309420728480 7715499657840 8679937115070 9258599589408 10682999526240 11573249486760 13887899384112 15430999315680 17359874230140 23146498973520 27775798768224 34719748460280 46292997947040 69439496920560 138878993841120
- Sum of all divisors σ(n): 557292516802560
- Sum of proper divisors (its aliquot sum) s(n): 418413522961440
- 138878993841120 is an abundant number, because the sum of its proper divisors (418413522961440) is greater than itself. Its abundance is 279534529120320
Bases of 138878993841120
- Binary: 111111001001111010010010001100000111011111000002
- Hexadecimal: 0x7E4F49183BE0
- Base-36: 1D884N6M00
Squares and roots of 138878993841120
- 138878993841120 squared (1388789938411202) is 19287374930321846891802854400
- 138878993841120 cubed (1388789938411203) is 2678611224159540063626072231230836092928000
-
The
square root of 138878993841120 is 11784693.2009755773 -
The
cube root of 138878993841120 is 51785.9785547935
Scales and comparisons
How big is 138878993841120?- 138,878,993,841,120 seconds is equal to 4,415,922 years, 22 weeks, 1 hour, 12 minutes.
-
To count from 1 to 138,878,993,841,120 would take you about eleven million, thirty-nine thousand, eight hundred six 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 138878993841120 cubic inches would be around 4315.5 feet tall.
Recreational maths with 138878993841120
- 138878993841120 backwards is 021148399878831
- 138878993841120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138878993841120's digits is 72
- More coming soon!
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The information we have on file for 138878993841120 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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