135023968102400
135,023,968,102,400 is an even composite number composed of seven prime numbers multiplied together.
135023968102400 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 135023968102400:
211 × 52 × 13 × 23 × 37 × 127 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 23 × 37 × 127 × 1877)See below for interesting mathematical facts about the number 135023968102400 from the Numbermatics database.
Names of 135023968102400
- Cardinal: 135023968102400 can be written as One hundred thirty-five trillion, twenty-three billion, nine hundred sixty-eight million, one hundred two thousand, four hundred.
Scientific notation
- Scientific notation: 1.350239681024 × 1014
Factors of 135023968102400
Divisors of 135023968102400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 32 37 40 46 50 52 64 65 74 80 92 100 104 115 127 128 130 148 160 184 185 200 208 230 254 256 260 296 299 320 325 368 370 400 416 460 481 508 512 520 575 592 598 635 640 650 736 740 800 832 851 920 925 962 1016 1024 1040 1150 1184 1196 1270 1280 1300 1472 1480 1495 1600 1651 1664 1702 1840 1850 1877 1924 2032 2048 2080 2300 2368 2392 2405 2540 2560 2600 2921 2944 2960 2990 3175 3200 3302 3328 3404 3680 3700 3754 3848 4064 4160 4255 4600 4699 4736 4784 4810 5080 5120 5200 5842 5888 5920 5980 6350 6400 6604 6656 6808 7360 7400 7475 7508 7696 8128 8255 8320 8510 9200 9385 9398 9472 9568 9620 10160 10240 10400 11063 11684 11776 11840 11960 12025 12700 12800 13208 13312 13616 14605 14720 14800 14950 15016 15392 16256 16510 16640 17020 18400 18770 18796 18944 19136 19240 20320 20800 21275 22126 23368 23495 23552 23680 23920 24050 24401 25400 25600 26416 26624 27232 29210 29440 29600 29900 30032 30784 32512 33020 33280 34040 36800 37540 37592 37888 37973 38272 38480 40640 41275 41600 42550 43171 44252 46736 46925 46990 47104 47360 47840 48100 48802 50800 51200 52832 54464 55315 58420 58880 59200 59800 60064 61087 61568 65024 66040 66560 68080 69449 73025 73600 75080 75184 75776 75946 76544 76960 81280 82550 83200 85100 86342 88504 93472 93850 93980 94720 95680 96200 97604 101600 105664 108077 108928 110630 116840 117475 117760 118400 119600 120128 122005 122174 123136 130048 132080 133120 136160 138898 146050 147200 150160 150368 151892 153088 153920 162560 165100 166400 170200 172684 177008 186944 187700 187960 189440 189865 191360 192400 195208 203200 211328 215855 216154 217856 221260 233680 234950 235520 236800 238379 239200 240256 244010 244348 246272 260096 264160 272320 276575 277796 292100 294400 300320 300736 303784 305435 306176 307840 325120 330200 332800 340400 345368 347245 354016 373888 375400 375920 378880 379730 382720 384800 390416 406400 422656 431710 432308 435712 442520 467360 469900 473600 476758 478400 480512 488020 488696 492544 528320 540385 544640 553150 555592 561223 584200 588800 600640 601472 607568 610025 610870 612352 615680 650240 660400 665600 680800 690736 694490 708032 747776 750800 751840 759460 765440 769600 780832 812800 845312 863420 864616 871424 885040 902837 934720 939800 947200 949325 953516 956800 961024 976040 977392 985088 1056640 1079275 1080770 1089280 1106300 1111184 1122446 1168400 1177600 1191895 1201280 1202944 1215136 1220050 1221740 1231360 1300480 1320800 1361600 1381472 1388980 1405001 1416064 1495552 1501600 1503680 1518920 1527175 1530880 1539200 1561664 1597327 1625600 1690624 1726840 1729232 1736225 1742848 1770080 1805674 1869440 1879600 1894400 1898650 1907032 1913600 1922048 1952080 1954784 2113280 2158550 2161540 2178560 2212600 2222368 2244892 2336800 2383790 2402560 2405888 2430272 2440100 2443480 2462720 2641600 2701925 2723200 2762944 2777960 2806115 2810002 2832128 2991104 3003200 3007360 3037840 3054350 3061760 3078400 3098927 3123328 3194654 3251200 3381248 3453680 3458464 3472450 3540160 3611348 3738880 3759200 3797300 3814064 3827200 3844096 3904160 3909568 4226560 4317100 4323080 4357120 4425200 4444736 4489784 4514185 4673600 4767580 4805120 4811776 4860544 4880200 4886960 4925440 5283200 5403850 5446400 5482717 5525888 5555920 5612230 5620004 5664256 5959475 5982208 6006400 6014720 6075680 6108700 6156800 6197854 6246656 6389308 6502400 6907360 6916928 6944900 7025005 7080320 7222696 7477760 7518400 7594600 7628128 7654400 7808320 7819136 7986635 8453120 8634200 8646160 8714240 8820023 8850400 8889472 8979568 9028370 9347200 9535160 9610240 9623552 9721088 9760400 9773920 10566400 10807700 10892800 10965434 11051776 11111840 11224460 11240008 11328512 11918950 12012800 12029440 12151360 12217400 12313600 12395708 12493312 12778616 13814720 13833856 13889800 14030575 14050010 14160640 14445392 14955520 15036800 15189200 15256256 15308800 15494635 15616640 15638272 15973270 16906240 17268400 17292320 17640046 17700800 17778944 17959136 18056740 18694400 19070320 19220480 19442176 19520800 19547840 20765251 21132800 21615400 21785600 21930868 22103552 22223680 22448920 22480016 22570925 22657024 23837900 24025600 24058880 24302720 24434800 24627200 24791416 24986624 25557232 27413585 27629440 27667712 27779600 28061150 28100020 28321280 28890784 29911040 30073600 30378400 30512512 30989270 31233280 31276544 31946540 34536800 34584640 35125025 35280092 35401600 35557888 35918272 36113480 37388800 38140640 38884352 39041600 39095680 39933175 41530502 42265600 43230800 43571200 43861736 44100115 44207104 44447360 44897840 44960032 45141850 47675800 48051200 48117760 48605440 48869600 49582832 49973248 51114464 54827170 55258880 55335424 55559200 56122300 56200040 56642560 57781568 60147200 60756800 61025024 61978540 62466560 62553088 63893080 69073600 69169280 70250050 70560184 70803200 71115776 71275321 71836544 72226960 74777600 76281280 77473175 77768704 78083200 78191360 79866350 83061004 84531200 86461600 87723472 88200230 88414208 88894720 89795680 89920064 90283700 95351600 96102400 97210880 97739200 99165664 102228928 103826255 109654340 110517760 110670848 111118400 112244600 112400080 113285120 114660299 115563136 120294400 121513600 122050048 123957080 124933120 125106176 127786160 137067925 138147200 138338560 140500100 141120368 141606400 142231552 142550642 143673088 144453920 149555200 152562560 154946350 156166400 156382720 159732700 166122008 172923200 175446944 176400460 177789440 179591360 179840128 180567400 190703200 194421760 195478400 198331328 202860529 204457856 207652510 219308680 220500575 221035520 221341696 222236800 224489200 224800160 229320598 231126272 240588800 243027200 244100096 247914160 249866240 255572320 274135850 276294400 276677120 281000200 282240736 283212800 285101284 287346176 288907840 305125120 309892700 312332800 312765440 319465400 332244016 345846400 350893888 352800920 355578880 356376605 359182720 359680256 361134800 381406400 388843520 390956800 396662656 405721058 408915712 415305020 438617360 441001150 442071040 444473600 448978400 449600320 458641196 462252544 486054400 488200192 495828320 511144640 519131275 548271700 552588800 553354240 562000400 564481472 566425600 570202568 573301495 574692352 577815680 610250240 619785400 624665600 625530880 638930800 664488032 691692800 701787776 705601840 711157760 712753210 718365440 719360512 722269600 762812800 781913600 793325312 811442116 817831424 830610040 877234720 882002300 888947200 897956800 899200640 917282392 924505088 972108800 991656640 1014302645 1022289280 1038262550 1096543400 1105177600 1106708480 1124000800 1128962944 1140405136 1146602990 1149384704 1155631360 1220500480 1239570800 1249331200 1277861600 1328976064 1383385600 1403575552 1411203680 1425506420 1436730880 1438721024 1444539200 1525625600 1563827200 1586650624 1622884232 1635662848 1661220080 1754469440 1764004600 1777894400 1781883025 1795913600 1798401280 1834564784 1849010176 1944217600 1983313280 2028605290 2044578560 2076525100 2193086800 2210355200 2248001600 2257925888 2280810272 2293205980 2311262720 2441000960 2479141600 2555723200 2637186877 2657952128 2766771200 2807151104 2822407360 2851012840 2866507475 2873461760 2877442048 2889078400 3051251200 3127654400 3173301248 3245768464 3271325696 3322440160 3508938880 3528009200 3555788800 3563766050 3591827200 3596802560 3669129568 3966626560 4057210580 4089157120 4153050200 4386173600 4496003200 4515851776 4561620544 4586411960 4622525440 4958283200 5071513225 5111446400 5274373754 5315904256 5533542400 5614302208 5644814720 5702025680 5733014950 5746923520 5778156800 6102502400 6346602496 6491536928 6644880320 7017877760 7056018400 7127532100 7183654400 7193605120 7338259136 7933253120 8114421160 8178314240 8306100400 8772347200 8992006400 9031703552 9123241088 9172823920 9245050880 9916566400 10143026450 10222892800 10548747508 10631808512 11228604416 11289629440 11404051360 11466029900 11556313600 12205004800 12983073856 13185934385 13289760640 14035755520 14112036800 14255064200 14367308800 14387210240 14676518272 15866506240 16228842320 16356628480 16612200800 17544694400 17984012800 18063407104 18246482176 18345647840 19833132800 20286052900 20445785600 21097495016 21263617024 22579258880 22808102720 22932059800 23112627200 25966147712 26371868770 26579521280 28071511040 28224073600 28510128400 28734617600 29353036544 31733012480 32457684640 33224401600 35089388800 35968025600 36492964352 36691295680 39666265600 40572105800 40891571200 42194990032 42527234048 45158517760 45616205440 45864119600 46225254400 51932295424 52743737540 53159042560 56143022080 56448147200 57020256800 58706073088 64915369280 65929671925 66448803200 70178777600 71936051200 72985928704 73382591360 79332531200 81144211600 81783142400 84389980064 90317035520 91232410880 91728239200 103864590848 105487475080 106318085120 112896294400 114040513600 117412146176 129830738560 131859343850 132897606400 140357555200 145971857408 146765182720 158665062400 162288423200 168779960128 182464821760 183456478400 207729181696 210974950160 212636170240 225792588800 228081027200 234824292352 259661477120 263718687700 265795212800 280715110400 293530365440 324576846400 337559920256 364929643520 366912956800 415458363392 421949900320 451585177600 456162054400 519322954240 527437375400 531590425600 587060730880 649153692800 675119840512 729859287040 733825913600 843899800640 912324108800 1038645908480 1054874750800 1063180851200 1174121461760 1298307385600 1350239681024 1467651827200 1687799601280 1824648217600 2077291816960 2109749501600 2596614771200 2700479362048 2935303654400 3375599202560 3649296435200 4219499003200 5193229542400 5400958724096 5870607308800 6751198405120 8438998006400 10386459084800 13502396810240 16877996012800 27004793620480 33755992025600 67511984051200 135023968102400
- Sum of all divisors σ(n): 389622502563840
- Sum of proper divisors (its aliquot sum) s(n): 254598534461440
- 135023968102400 is an abundant number, because the sum of its proper divisors (254598534461440) is greater than itself. Its abundance is 119574566359040
Bases of 135023968102400
- Binary: 111101011001101101101111010011110101000000000002
- Hexadecimal: 0x7ACDB7A7A800
- Base-36: 1BV15KE4U8
Squares and roots of 135023968102400
- 135023968102400 squared (1350239681024002) is 18231471962117932656885760000
- 135023968102400 cubed (1350239681024003) is 2461685688672811680210374141960781824000000
-
The
square root of 135023968102400 is 11619981.4157510597 -
The
cube root of 135023968102400 is 51302.3141375843
Scales and comparisons
How big is 135023968102400?- 135,023,968,102,400 seconds is equal to 4,293,344 years, 27 weeks, 3 days, 14 hours, 13 minutes, 20 seconds.
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To count from 1 to 135,023,968,102,400 would take you about ten million, seven hundred thirty-three thousand, three hundred sixty-one 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 135023968102400 cubic inches would be around 4275.2 feet tall.
Recreational maths with 135023968102400
- 135023968102400 backwards is 004201869320531
- The number of decimal digits it has is: 15
- The sum of 135023968102400's digits is 44
- More coming soon!
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The information we have on file for 135023968102400 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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