135764390246400
135,764,390,246,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 135764390246400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
135764390246400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 135764390246400:
211 × 32 × 52 × 533 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 53 × 53 × 53 × 1979)See below for interesting mathematical facts about the number 135764390246400 from the Numbermatics database.
Names of 135764390246400
- Cardinal: 135764390246400 can be written as One hundred thirty-five trillion, seven hundred sixty-four billion, three hundred ninety million, two hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.357643902464 × 1014
Factors of 135764390246400
Divisors of 135764390246400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 53 60 64 72 75 80 90 96 100 106 120 128 144 150 159 160 180 192 200 212 225 240 256 265 288 300 318 320 360 384 400 424 450 477 480 512 530 576 600 636 640 720 768 795 800 848 900 954 960 1024 1060 1152 1200 1272 1280 1325 1440 1536 1590 1600 1696 1800 1908 1920 1979 2048 2120 2304 2385 2400 2544 2560 2650 2809 2880 3072 3180 3200 3392 3600 3816 3840 3958 3975 4240 4608 4770 4800 5088 5120 5300 5618 5760 5937 6144 6360 6400 6784 7200 7632 7680 7916 7950 8427 8480 9216 9540 9600 9895 10176 10240 10600 11236 11520 11874 11925 12720 12800 13568 14045 14400 15264 15360 15832 15900 16854 16960 17811 18432 19080 19200 19790 20352 21200 22472 23040 23748 23850 25281 25440 25600 27136 28090 28800 29685 30528 30720 31664 31800 33708 33920 35622 38160 38400 39580 40704 42135 42400 44944 46080 47496 47700 49475 50562 50880 51200 54272 56180 57600 59370 61056 63328 63600 67416 67840 70225 71244 76320 76800 79160 81408 84270 84800 89055 89888 92160 94992 95400 98950 101124 101760 104887 108544 112360 115200 118740 122112 126405 126656 127200 134832 135680 140450 142488 148425 148877 152640 153600 158320 162816 168540 169600 178110 179776 189984 190800 197900 202248 203520 209774 210675 224720 230400 237480 244224 252810 253312 254400 269664 271360 280900 284976 296850 297754 305280 314661 316640 325632 337080 339200 356220 359552 379968 381600 395800 404496 407040 419548 421350 445275 446631 449440 460800 474960 488448 505620 506624 508800 524435 539328 542720 561800 569952 593700 595508 610560 629322 632025 633280 674160 678400 712440 719104 744385 759936 763200 791600 808992 814080 839096 842700 890550 893262 898880 943983 949920 976896 1011240 1013248 1017600 1048870 1078656 1123600 1139904 1187400 1191016 1221120 1258644 1264050 1266560 1339893 1348320 1356800 1424880 1438208 1488770 1519872 1526400 1573305 1583200 1617984 1628160 1678192 1685400 1781100 1786524 1797760 1887966 1899840 2022480 2026496 2035200 2097740 2157312 2233155 2247200 2279808 2374800 2382032 2442240 2517288 2528100 2533120 2622175 2679786 2696640 2713600 2849760 2876416 2977540 3039744 3052800 3146610 3166400 3235968 3356384 3370800 3562200 3573048 3595520 3721925 3775932 3799680 4044960 4052992 4070400 4195480 4314624 4466310 4494400 4559616 4719915 4749600 4764064 4884480 5034576 5056200 5066240 5244350 5359572 5393280 5559011 5699520 5752832 5955080 6079488 6105600 6293220 6332800 6471936 6699465 6712768 6741600 7124400 7146096 7191040 7443850 7551864 7599360 7866525 8089920 8140800 8390960 8629248 8932620 8988800 9119232 9439830 9499200 9528128 10069152 10112400 10132480 10488700 10719144 10786560 11118022 11165775 11399040 11910160 12158976 12211200 12586440 12665600 12943872 13398930 13425536 13483200 14248800 14292192 14382080 14887700 15103728 15198720 15733050 16179840 16677033 16781920 17258496 17865240 17977600 18238464 18879660 18998400 19056256 20138304 20224800 20264960 20977400 21438288 21573120 22236044 22331550 22798080 23599575 23820320 24422400 25172880 25331200 25887744 26797860 26851072 26966400 27795055 28497600 28584384 28764160 29775400 30207456 30397440 31466100 32359680 33354066 33497325 33563840 35730480 35955200 36476928 37759320 37996800 38112512 40276608 40449600 41954800 42876576 43146240 44472088 44663100 45596160 47199150 47640640 50031099 50345760 50662400 51775488 53595720 53702144 53932800 55590110 56995200 57168768 59550800 60414912 60794880 62932200 64719360 66708132 66994650 67127680 71460960 71910400 75518640 75993600 76225024 80553216 80899200 83385165 83909600 85753152 86292480 88944176 89326200 91192320 94398300 95281280 100062198 100691520 101324800 107191440 107404288 107865600 111180220 113990400 114337536 119101600 120829824 125864400 129438720 133416264 133989300 134255360 138975275 142921920 143820800 151037280 151987200 152450048 161106432 161798400 166770330 167819200 171506304 177888352 178652400 182384640 188796600 190562560 200124396 201383040 214382880 214808576 215731200 222360440 227980800 228675072 238203200 241659648 250155495 251728800 258877440 266832528 267978600 268510720 277950550 285843840 294627583 302074560 303974400 304900096 322212864 323596800 333540660 335638400 343012608 355776704 357304800 377593200 381125120 400248792 402766080 416925825 428765760 431462400 444720880 455961600 457350144 476406400 483319296 500310990 503457600 533665056 535957200 537021440 555901100 571687680 589255166 604149120 644425728 647193600 667081320 671276800 686025216 711553408 714609600 755186400 762250240 800497584 805532160 833851650 857531520 883882749 889441760 911923200 914700288 952812800 966638592 1000621980 1006915200 1067330112 1071914400 1074042880 1111802200 1143375360 1178510332 1208298240 1250777475 1294387200 1334162640 1342553600 1372050432 1423106816 1429219200 1473137915 1510372800 1524500480 1600995168 1611064320 1667703300 1715063040 1767765498 1778883520 1905625600 1933277184 2001243960 2013830400 2134660224 2143828800 2223604400 2286750720 2357020664 2416596480 2501554950 2651648247 2668325280 2685107200 2744100864 2846213632 2858438400 2946275830 3020745600 3201990336 3222128640 3335406600 3430126080 3535530996 3557767040 3811251200 4002487920 4027660800 4269320448 4287657600 4419413745 4447208800 4573501440 4714041328 4833192960 5003109900 5303296494 5336650560 5370214400 5692427264 5716876800 5892551660 6041491200 6403980672 6670813200 6860252160 7071061992 7115534080 7365689575 7622502400 8004975840 8055321600 8538640896 8575315200 8838827490 8894417600 9428082656 9666385920 10006219800 10606592988 10673301120 11384854528 11433753600 11785103320 12082982400 12807961344 13258241235 13341626400 13720504320 14142123984 14231068160 14731379150 16009951680 16110643200 17077281792 17150630400 17677654980 17788835200 18856165312 20012439600 21213185976 21346602240 22097068725 22867507200 23570206640 24165964800 25615922688 26516482470 26683252800 28284247968 28462136320 29462758300 32019903360 34154563584 34301260800 35355309960 35577670400 37712330624 40024879200 42426371952 42693204480 44194137450 47140413280 48331929600 51231845376 53032964940 53366505600 56568495936 56924272640 58925516600 64039806720 66291206175 68602521600 70710619920 71155340800 75424661248 80049758400 84852743904 85386408960 88388274900 94280826560 102463690752 106065929880 106733011200 113136991872 117851033200 128079613440 132582412350 141421239840 142310681600 150849322496 160099516800 169705487808 170772817920 176776549800 188561653120 212131859760 213466022400 226273983744 235702066400 256159226880 265164824700 282842479680 284621363200 301698644992 320199033600 339410975616 353553099600 377123306240 424263719520 426932044800 452547967488 471404132800 512318453760 530329649400 565684959360 603397289984 640398067200 678821951232 707106199200 754246612480 848527439040 853864089600 905095934976 942808265600 1060659298800 1131369918720 1280796134400 1357643902464 1414212398400 1508493224960 1697054878080 1810191869952 1885616531200 2121318597600 2262739837440 2561592268800 2715287804928 2828424796800 3016986449920 3394109756160 3771233062400 4242637195200 4525479674880 5430575609856 5656849593600 6788219512320 7542466124800 8485274390400 9050959349760 11313699187200 13576439024640 15084932249600 16970548780800 22627398374400 27152878049280 33941097561600 45254796748800 67882195123200 135764390246400
- Sum of all divisors σ(n): 495820206882000
- Sum of proper divisors (its aliquot sum) s(n): 360055816635600
- 135764390246400 is an abundant number, because the sum of its proper divisors (360055816635600) is greater than itself. Its abundance is 224291426389200
Bases of 135764390246400
- Binary: 111101101111010000111000100000011111000000000002
- Hexadecimal: 0x7B7A1C40F800
- Base-36: 1C4HASMBK0
Squares and roots of 135764390246400
- 135764390246400 squared (1357643902464002) is 18431969658976791452712960000
- 135764390246400 cubed (1357643902464003) is 2502405121791129439706670273442873344000000
-
The
square root of 135764390246400 is 11651797.7259477003 -
The
cube root of 135764390246400 is 51395.9176364793
Scales and comparisons
How big is 135764390246400?- 135,764,390,246,400 seconds is equal to 4,316,887 years, 34 weeks, 3 days, 8 hours.
-
To count from 1 to 135,764,390,246,400 would take you about ten million, seven hundred ninety-two thousand, two hundred nineteen 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 135764390246400 cubic inches would be around 4283 feet tall.
Recreational maths with 135764390246400
- 135764390246400 backwards is 004642093467531
- The number of decimal digits it has is: 15
- The sum of 135764390246400's digits is 54
- More coming soon!
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The information we have on file for 135764390246400 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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