138938701064800
138,938,701,064,800 is an even composite number composed of seven prime numbers multiplied together.
138938701064800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138938701064800:
25 × 52 × 72 × 13 × 73 × 227 × 16453
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 73 × 227 × 16453)See below for interesting mathematical facts about the number 138938701064800 from the Numbermatics database.
Names of 138938701064800
- Cardinal: 138938701064800 can be written as One hundred thirty-eight trillion, nine hundred thirty-eight billion, seven hundred one million, sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.389387010648 × 1014
Factors of 138938701064800
Divisors of 138938701064800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 65 70 73 80 91 98 100 104 112 130 140 146 160 175 182 196 200 208 224 227 245 260 280 292 325 350 364 365 392 400 416 454 455 490 511 520 560 584 637 650 700 728 730 784 800 908 910 949 980 1022 1040 1120 1135 1168 1225 1274 1300 1400 1456 1460 1568 1589 1816 1820 1825 1898 1960 2044 2080 2270 2275 2336 2450 2548 2555 2600 2800 2912 2920 2951 3178 3185 3577 3632 3640 3650 3796 3920 4088 4540 4550 4745 4900 5096 5110 5200 5600 5675 5840 5902 6356 6370 6643 7154 7264 7280 7300 7592 7840 7945 8176 9080 9100 9490 9800 10192 10220 10400 11123 11350 11680 11804 12712 12740 12775 13286 14308 14560 14600 14755 15184 15890 15925 16352 16453 16571 17885 18160 18200 18980 19600 20384 20440 20657 22246 22700 23608 23725 25424 25480 25550 26572 28616 29200 29510 30368 31780 31850 32906 33142 33215 35770 36320 36400 37960 39200 39725 40880 41314 44492 45400 46501 47216 47450 50848 50960 51100 53144 55615 57232 58400 59020 63560 63700 65812 66284 66430 71540 72800 73775 75920 79450 81760 82265 82628 82855 88984 89425 90800 93002 94432 94900 101920 102200 103285 106288 111230 114464 115171 115997 118040 127120 127400 131624 132568 132860 143080 144599 147550 151840 158900 164530 165256 165710 166075 177968 178850 181600 186004 189800 204400 206570 212576 213889 215423 222460 230342 231994 232505 236080 254240 254800 263248 265136 265720 278075 286160 289198 295100 317800 329060 330512 331420 332150 355936 357700 372008 379600 408800 411325 413140 414275 427778 430846 444920 460684 463988 465010 472160 509600 516425 526496 530272 531440 556150 572320 575855 578396 579985 590200 635600 658120 661024 662840 664300 715400 722995 744016 759200 806197 811979 822650 826280 828550 855556 861692 889840 921368 927976 930020 1032850 1062880 1069445 1077115 1112300 1151710 1156792 1159970 1162525 1180400 1201069 1271200 1316240 1325680 1328600 1430800 1445990 1488032 1497223 1507961 1612394 1623958 1645300 1652560 1657100 1711112 1723384 1779680 1842736 1855952 1860040 2065700 2138890 2154230 2224600 2303420 2313584 2319940 2325050 2360800 2402138 2632480 2651360 2657200 2861600 2879275 2891980 2899925 2994446 3015922 3224788 3247916 3290600 3305120 3314200 3422224 3446768 3614975 3685472 3711904 3720080 3734831 4030985 4059895 4131400 4277780 4308460 4449200 4606840 4627168 4639880 4650100 4804276 5314400 5347225 5385575 5758550 5783960 5799850 5988892 6005345 6031844 6449576 6495832 6581200 6628400 6844448 6893536 7229950 7440160 7469662 7486115 7539805 8061970 8119790 8262800 8407483 8555560 8616920 8898400 9213680 9279760 9300200 9608552 10480561 10555727 10694450 10771150 11517100 11567920 11599700 11977784 12010690 12063688 12899152 12991664 13162400 13256800 14459900 14939324 14972230 15079610 15613897 16123940 16239580 16525600 16814966 17111120 17233840 18427360 18559520 18600400 18674155 19217104 20154925 20299475 20961122 21111454 21388900 21542300 23034200 23135840 23199400 23955568 24021380 24127376 25798304 25983328 26143817 28919800 29878648 29944460 30026725 30159220 31227794 32247880 32479160 33629932 34222240 34467680 37200800 37348310 37430575 37699025 38434208 40309850 40598950 41922244 42037415 42222908 42777800 43084600 46068400 46398800 47911136 48042760 48254752 48552803 52287634 52402805 52778635 57839600 58852381 59757296 59888920 60053450 60318440 62455588 64495760 64958320 67259864 74696620 74861150 75398050 78069485 80619700 81197900 83844488 84074830 84445816 85555600 86169200 92136800 92797600 93370775 96085520 97105606 104575268 104805610 105557270 109297279 115679200 117704762 119514592 119777840 120106900 120636880 124911176 128991520 129916640 130719085 134519728 149393240 149722300 150796100 156138970 161239400 162395800 167688976 168149660 168891632 171111200 172338400 183006719 186741550 192171040 194211212 209150536 209611220 210187075 211114540 218594558 235409524 239555680 240213800 241273760 242764015 249822352 261438170 262014025 263893175 269039456 272642663 294261905 298786480 299444600 301592200 312277940 322478800 324791600 335377952 336299320 337783264 339869621 366013438 373483100 388422424 390347425 418301072 419222440 420374150 422229080 437189116 470819048 480427600 485528030 499644704 522876340 524028050 527786350 545285326 546486395 588523810 597572960 598889200 603184400 624555880 644957600 649583200 653595425 672598640 679739242 732026876 746966200 765080953 776844848 780694850 836602144 838444880 840748300 844458160 874378232 915033595 941638096 960855200 971056060 1045752680 1048056100 1055572700 1090570652 1092972790 1177047620 1197778400 1206368800 1213820075 1249111760 1307190850 1345197280 1359478484 1363213315 1464053752 1471309525 1493932400 1530161906 1553689696 1561389700 1676889760 1681496600 1688916320 1699348105 1748756464 1830067190 1883276192 1908498641 1942112120 2091505360 2096112200 2111145400 2181141304 2185945580 2354095240 2379087347 2427640150 2498223520 2614381700 2718956968 2726426630 2732431975 2928107504 2942619050 2987864800 3060323812 3122779400 3362993200 3398696210 3497512928 3544354619 3660134380 3816997282 3825404765 3884224240 4183010720 4192224400 4222290800 4362282608 4371891160 4575167975 4708190480 4758174694 4855280300 5228763400 5437913936 5452853260 5464863950 5856215008 5885238100 6120647624 6245558800 6725986400 6797392420 6816066575 7088709238 7320268760 7633994564 7650809530 7768448480 8384448800 8444581600 8496740525 8724565216 8743782320 9150335950 9416380960 9516349388 9542493205 9710560600 10457526800 10875827872 10905706520 10929727900 11770476200 11895436735 12241295248 12491117600 13359490487 13594784840 13632133150 14177418476 14640537520 15267989128 15301619060 16993481050 17487564640 17721773095 18300671900 19032698776 19084986410 19127023825 19421121200 20915053600 21811413040 21859455800 23540952400 23790873470 24482590496 24810482333 26718980974 27189569680 27264266300 28354836952 29281075040 30535978256 30603238120 33986962100 35443546190 36601343800 38065397552 38169972820 38254047650 38842242400 43622826080 43718911600 47081904800 47581746940 47712466025 49620964666 53437961948 54379139360 54528532600 56709673904 59477183675 61071956512 61206476240 66797452435 67973924200 70887092380 73202687600 76130795104 76339945640 76508095300 87437823200 88608865475 95163493880 95424932050 99241929332 106875923896 109057065200 113419347808 118954367350 122412952480 124052411665 133594904870 135947848400 141774184760 146405375200 152679891280 153016190600 173673376331 177217730950 190326987760 190849864100 198483858664 213751847792 218114130400 237908734700 248104823330 267189809740 271895696800 283548369520 305359782560 306032381200 333987262175 347346752662 354435461900 380653975520 381699728200 396967717328 427503695584 475817469400 496209646660 534379619480 567096739040 612064762400 620262058325 667974524350 694693505324 708870923800 763399456400 793935434656 868366881655 951634938800 992419293320 1068759238960 1240524116650 1335949048700 1389387010648 1417741847600 1526798912800 1736733763310 1903269877600 1984838586640 2137518477920 2481048233300 2671898097400 2778774021296 2835483695200 3473467526620 3969677173280 4341834408275 4962096466600 5343796194800 5557548042592 6946935053240 8683668816550 9924192933200 10687592389600 13893870106480 17367337633100 19848385866400 27787740212960 34734675266200 69469350532400 138938701064800
- Sum of all divisors σ(n): 432656461776672
- Sum of proper divisors (its aliquot sum) s(n): 293717760711872
- 138938701064800 is an abundant number, because the sum of its proper divisors (293717760711872) is greater than itself. Its abundance is 154779059647072
Bases of 138938701064800
- Binary: 111111001011101001011111110110000101010011000002
- Hexadecimal: 0x7E5D2FEC2A60
- Base-36: 1D8ZK3BMN4
Squares and roots of 138938701064800
- 138938701064800 squared (1389387010648002) is 19303962653573856653799040000
- 138938701064800 cubed (1389387010648003) is 2682067496490961430990631243813217792000000
-
The
square root of 138938701064800 is 11787226.1819649495 -
The
cube root of 138938701064800 is 51793.3988130555
Scales and comparisons
How big is 138938701064800?- 138,938,701,064,800 seconds is equal to 4,417,820 years, 48 weeks, 1 day, 21 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,938,701,064,800 would take you about eleven million, forty-four thousand, five hundred fifty-two 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 138938701064800 cubic inches would be around 4316.1 feet tall.
Recreational maths with 138938701064800
- 138938701064800 backwards is 008460107839831
- The number of decimal digits it has is: 15
- The sum of 138938701064800's digits is 58
- More coming soon!
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The information we have on file for 138938701064800 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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