138135067797760
138,135,067,797,760 is an even composite number composed of seven prime numbers multiplied together.
138135067797760 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138135067797760:
28 × 5 × 113 × 31 × 53 × 61 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 11 × 31 × 53 × 61 × 809)See below for interesting mathematical facts about the number 138135067797760 from the Numbermatics database.
Names of 138135067797760
- Cardinal: 138135067797760 can be written as One hundred thirty-eight trillion, one hundred thirty-five billion, sixty-seven million, seven hundred ninety-seven thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.3813506779776 × 1014
Factors of 138135067797760
Divisors of 138135067797760
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 31 32 40 44 53 55 61 62 64 80 88 106 110 121 122 124 128 155 160 176 212 220 242 244 248 256 265 305 310 320 341 352 424 440 484 488 496 530 583 605 610 620 640 671 682 704 809 848 880 968 976 992 1060 1166 1210 1220 1240 1280 1331 1342 1364 1408 1618 1643 1696 1705 1760 1891 1936 1952 1984 2120 2332 2420 2440 2480 2662 2684 2728 2816 2915 3233 3236 3286 3355 3392 3410 3520 3751 3782 3872 3904 3968 4045 4240 4664 4840 4880 4960 5324 5368 5456 5830 6413 6466 6472 6572 6655 6710 6784 6820 7040 7381 7502 7564 7744 7808 7936 8090 8215 8480 8899 9328 9455 9680 9760 9920 10648 10736 10912 11660 12826 12932 12944 13144 13310 13420 13568 13640 14080 14762 15004 15128 15488 15616 16165 16180 16430 16960 17798 18073 18656 18755 18910 19360 19520 19840 20801 21296 21472 21824 23320 25079 25652 25864 25888 26288 26620 26840 27280 29524 30008 30256 30976 32065 32330 32360 32860 33920 35563 35596 36146 36905 37312 37510 37820 38720 39040 39680 41261 41602 42592 42877 42944 43648 44495 46640 49349 50158 51304 51728 51776 52576 53240 53680 54560 59048 60016 60512 64130 64660 64720 65720 67840 70543 71126 71192 72292 73810 74624 75020 75640 77440 78080 81191 82522 83204 85184 85754 85888 87296 88990 90365 93280 97889 98698 100223 100316 102608 103456 103552 104005 105152 106480 107360 109120 118096 120032 121024 125395 128260 129320 129440 131440 141086 142252 142384 144584 147620 149248 150040 151280 154880 162382 165044 166408 170368 171508 171776 177815 177980 180730 186560 195778 197396 198803 200446 200632 205216 206305 206912 207104 208010 210304 212960 214385 214720 218240 228811 236192 240064 242048 246745 250790 256520 258640 258880 262880 275869 282172 284504 284768 289168 295240 300080 302560 324764 330088 332816 340736 343016 352715 355630 355960 361460 373120 391193 391556 394792 397606 400892 401264 405955 410432 412610 413824 416020 420608 425920 428770 429440 436480 457622 471647 472384 480128 484096 489445 493490 501115 501580 513040 517280 517760 525760 542839 551738 564344 569008 569536 578336 590480 600160 605120 649528 660176 665632 686032 705430 711260 711920 722920 746240 782386 783112 789584 795212 801784 802528 811910 820864 825220 827648 832040 851840 857540 858880 915244 943294 944768 960256 978890 986980 994015 1002230 1003160 1026080 1034560 1035520 1051520 1076779 1085678 1102453 1103476 1128688 1138016 1139072 1144055 1156672 1180960 1200320 1210240 1299056 1320352 1329187 1331264 1372064 1379345 1410860 1422520 1423840 1445840 1529819 1564772 1566224 1579168 1590424 1603568 1605056 1623820 1641728 1650440 1664080 1703680 1715080 1830488 1886588 1889536 1955965 1957780 1973960 1988030 2004460 2006320 2052160 2069120 2103040 2153558 2171356 2186833 2204906 2206952 2257376 2276032 2278144 2288110 2313344 2358235 2361920 2400640 2420480 2516921 2598112 2615497 2640704 2658374 2662528 2714195 2744128 2758690 2821720 2845040 2847680 2891680 3034559 3059638 3129544 3132448 3158336 3180848 3207136 3210112 3247640 3300880 3328160 3430160 3660976 3773176 3911930 3915560 3947920 3976060 4008920 4012640 4104320 4138240 4303123 4307116 4342712 4373666 4409812 4413904 4514752 4552064 4576220 4626688 4716470 4723840 4801280 5033842 5188117 5196224 5230994 5281408 5316748 5325056 5383895 5428390 5488256 5512265 5517380 5643440 5690080 5695360 5783360 5971229 6069118 6119276 6259088 6264896 6316672 6361696 6414272 6420224 6495280 6601760 6645935 6656320 6860320 7321952 7546352 7649095 7823860 7831120 7895840 7952120 8017840 8025280 8208640 8606246 8614232 8685424 8747332 8819624 8827808 9029504 9104128 9152440 9432940 9447680 10067684 10376234 10392448 10461988 10562816 10633496 10767790 10856780 10934165 10976512 11024530 11034760 11286880 11380160 11390720 11566720 11942458 12126983 12138236 12238552 12518176 12529792 12584605 12633344 12723392 12828544 12990560 13077485 13203520 13291870 13312640 13720640 14621057 14643904 15092704 15172795 15298190 15647720 15662240 15791680 15904240 16035680 16050560 16828009 17212492 17228464 17370848 17494664 17639248 17655616 18059008 18304880 18865880 20135368 20752468 20784896 20923976 21266992 21515615 21535580 21713560 21868330 22049060 22069520 22573760 22760320 23133440 23884916 24253966 24276472 24477104 25036352 25059584 25169210 25446784 25657088 25940585 25981120 26154970 26407040 26583740 26625280 27441280 28770467 29242114 29287808 29856145 30185408 30345590 30596380 31295440 31324480 31583360 31808480 32071360 32101120 33380149 33656018 34424984 34456928 34741696 34989328 35278496 35311232 36609760 37731760 40270736 41504936 41847952 42533984 43031230 43071160 43427120 43736660 44098120 44139040 45147520 45520640 47769832 48507932 48552944 48954208 50072704 50338420 50893568 51881170 51962240 52309940 52814080 53167480 54882560 57069287 57540934 58484228 58575616 59712290 60370816 60634915 60691180 61192760 62590880 62648960 63166720 63616960 64142720 65683519 66760298 67312036 68849968 68913856 69483392 69978656 70556992 70622464 73105285 73219520 75463520 80541472 81080407 83009872 83695904 84140045 85067968 86062460 86142320 86854240 87473320 88196240 88278080 90295040 95539664 97015864 97105888 97908416 100145408 100676840 103762340 103924480 104619880 106334960 114138574 115081868 116968456 119424580 120741632 121269830 121382360 122385520 125181760 125297920 127233920 128285440 131367038 133396813 133520596 134624072 137699936 137827712 138966784 139957312 141113984 143852335 146210570 146439040 150927040 160831627 161082944 162160814 166019744 166900745 167391808 168280090 170135936 172124920 172284640 173708480 174946640 176392480 176556160 185108099 191079328 194031728 194211776 195816832 201353680 207524680 209239760 212669920 228277148 230163736 233936912 238849160 242539660 242764720 244771040 250363520 254467840 262734076 266793626 267041192 269248144 275399872 275655424 279914624 282227968 285346435 287704670 292421140 292878080 301854080 316475137 321663254 322165888 324321628 328417595 332039488 333801490 334783616 336560180 340271872 344249840 344569280 347416960 349893280 352784960 353112320 370216198 382158656 388063456 388423552 391633664 402707360 405402035 415049360 418479520 425339840 456554296 460327472 467873824 477698320 485079320 485529440 489542080 500727040 525468152 533587252 534082384 538496288 550799744 559829248 570692870 575409340 584842280 603708160 632950274 643326508 644331776 648643256 656835190 664078976 666984065 667602980 669567232 673120360 688499680 689138560 694833920 699786560 705569920 740432396 764317312 776126912 776847104 804158135 805414720 810804070 830098720 836959040 850679680 891884477 913108592 920654944 925540495 935747648 955396640 970158640 971058880 979084160 1050936304 1067174504 1068164768 1076992576 1101599488 1141385740 1150818680 1169684560 1265900548 1286653016 1297286512 1313670380 1328157952 1333968130 1335205960 1346240720 1376999360 1378277120 1399573120 1411139840 1480864792 1528634624 1552253824 1582375685 1608316270 1610829440 1621608140 1660197440 1673918080 1701359360 1769147897 1783768954 1826217184 1841309888 1851080990 1871495296 1910793280 1940317280 1942117760 1958168320 2036189089 2101872608 2134349008 2136329536 2153985152 2282771480 2301637360 2339369120 2531801096 2573306032 2594573024 2627340760 2667936260 2670411920 2692481440 2753998720 2799146240 2961729584 3104507648 3164751370 3216632540 3221658880 3243216280 3320394880 3347836160 3481226507 3538295794 3567537908 3652434368 3682619776 3702161980 3742990592 3821586560 3880634560 3884235520 4072378178 4203745216 4268698016 4272659072 4307970304 4459422385 4565542960 4603274720 4678738240 5063602192 5146612064 5189146048 5254681520 5335872520 5340823840 5384962880 5507997440 5923459168 6329502740 6433265080 6486432560 6640789760 6962453014 7076591588 7135075816 7304868736 7365239552 7404323960 7643173120 7761269120 8144756356 8407490432 8537396032 8545318144 8845739485 8918844770 9131085920 9206549440 9357476480 9810729247 10127204384 10180945445 10293224128 10378292096 10509363040 10671745040 10681647680 10769925760 11846918336 12659005480 12866530160 12972865120 13924906028 14153183176 14270151632 14609737472 14808647920 15522538240 16289512712 16814980864 17074792064 17406132535 17691478970 17837689540 18262171840 18413098880 18714952960 19621458494 20254408768 20361890890 20586448256 20756584192 21018726080 21343490080 21363295360 21539851520 23693836672 25318010960 25733060320 25945730240 27849812056 28306366352 28540303264 29617295840 32579025424 34149584128 34812265070 35382957940 35675379080 36524343680 36826197760 39242916988 40508817536 40723781780 41172896512 42037452160 42686980160 42726590720 47387673344 49053646235 50636021920 51466120640 51891460480 55699624112 56612732704 57080606528 59234591680 65158050848 69624530140 70765915880 71350758160 73048687360 78485833976 81017635072 81447563560 84074904320 85373960320 98107292470 101272043840 102932241280 103782920960 107918021717 111399248224 113225465408 114161213056 118469183360 130316101696 139249060280 141531831760 142701516320 156971667952 162895127120 170747920640 196214584940 202544087680 205864482560 215836043434 222798496448 226450930816 228322426112 236938366720 260632203392 278498120560 283063663520 285403032640 313943335904 325790254240 392429169880 405088175360 431672086868 445596992896 452901861632 521264406784 539590108585 556996241120 566127327040 570806065280 627886671808 651580508480 784858339760 863344173736 891193985792 1079180217170 1113992482240 1132254654080 1141612130560 1255773343616 1303161016960 1569716679520 1726688347472 2158360434340 2227984964480 2264509308160 2511546687232 2606322033920 3139433359040 3453376694944 4316720868680 4455969928960 6278866718080 6906753389888 8633441737360 12557733436160 13813506779776 17266883474720 27627013559552 34533766949440 69067533898880 138135067797760
- Sum of all divisors σ(n): 389523508899840
- Sum of proper divisors (its aliquot sum) s(n): 251388441102080
- 138135067797760 is an abundant number, because the sum of its proper divisors (251388441102080) is greater than itself. Its abundance is 113253373304320
Bases of 138135067797760
- Binary: 111110110100010000100111010010110101001000000002
- Hexadecimal: 0x7DA213A5A900
- Base-36: 1CYQDGTP8G
Squares and roots of 138135067797760
- 138135067797760 squared (1381350677977602) is 19081296955491751736261017600
- 138135067797760 cubed (1381350677977603) is 2635796248616044603248881860783768600576000
-
The
square root of 138135067797760 is 11753087.5857265695 -
The
cube root of 138135067797760 is 51693.3465190565
Scales and comparisons
How big is 138135067797760?- 138,135,067,797,760 seconds is equal to 4,392,267 years, 45 weeks, 3 days, 22 hours, 2 minutes, 40 seconds.
-
To count from 1 to 138,135,067,797,760 would take you about ten million, nine hundred eighty thousand, six hundred sixty-nine 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 138135067797760 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138135067797760
- 138135067797760 backwards is 067797760531831
- The number of decimal digits it has is: 15
- The sum of 138135067797760's digits is 70
- More coming soon!
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The information we have on file for 138135067797760 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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