135338238806400
135,338,238,806,400 is an even composite number composed of six prime numbers multiplied together.
135338238806400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 135338238806400:
27 × 36 × 52 × 74 × 73 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 73 × 331)See below for interesting mathematical facts about the number 135338238806400 from the Numbermatics database.
Names of 135338238806400
- Cardinal: 135338238806400 can be written as One hundred thirty-five trillion, three hundred thirty-eight billion, two hundred thirty-eight million, eight hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.353382388064 × 1014
Factors of 135338238806400
Divisors of 135338238806400
- Number of divisors d(n): 3360
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 73 75 80 81 84 90 96 98 100 105 108 112 120 126 128 135 140 144 146 147 150 160 162 168 175 180 189 192 196 200 210 216 219 224 225 240 243 245 252 270 280 288 292 294 300 315 320 324 331 336 343 350 360 365 378 384 392 400 405 420 432 438 441 448 450 480 486 490 504 511 525 540 560 567 576 584 588 600 630 640 648 657 662 672 675 686 700 720 729 730 735 756 784 800 810 840 864 876 882 896 900 945 960 972 980 993 1008 1022 1029 1050 1080 1095 1120 1134 1152 1168 1176 1200 1215 1225 1260 1296 1314 1323 1324 1344 1350 1372 1400 1440 1458 1460 1470 1512 1533 1568 1575 1600 1620 1655 1680 1701 1715 1728 1752 1764 1800 1825 1890 1920 1944 1960 1971 1986 2016 2025 2044 2058 2100 2160 2190 2205 2240 2268 2317 2336 2352 2400 2401 2430 2450 2520 2555 2592 2628 2646 2648 2688 2700 2744 2800 2835 2880 2916 2920 2940 2979 3024 3066 3087 3136 3150 3200 3240 3285 3310 3360 3402 3430 3456 3504 3528 3577 3600 3645 3650 3675 3780 3888 3920 3942 3969 3972 4032 4050 4088 4116 4200 4320 4380 4410 4480 4536 4599 4634 4672 4704 4725 4800 4802 4860 4900 4965 5040 5103 5110 5145 5184 5256 5292 5296 5400 5475 5488 5600 5670 5760 5832 5840 5880 5913 5958 6048 6075 6132 6174 6272 6300 6480 6570 6615 6620 6720 6804 6860 6951 7008 7056 7154 7200 7203 7290 7300 7350 7560 7665 7776 7840 7884 7938 7944 8064 8100 8176 8232 8275 8400 8505 8575 8640 8760 8820 8937 9072 9198 9261 9268 9344 9408 9450 9600 9604 9720 9800 9855 9930 10080 10206 10220 10290 10368 10512 10584 10592 10731 10800 10950 10976 11025 11200 11340 11585 11664 11680 11760 11826 11907 11916 12005 12096 12150 12264 12348 12600 12775 12960 13140 13230 13240 13440 13608 13720 13797 13902 14016 14112 14175 14308 14400 14406 14580 14600 14700 14895 15120 15330 15435 15552 15680 15768 15876 15888 16200 16219 16352 16425 16464 16550 16800 17010 17150 17280 17520 17640 17739 17874 17885 18144 18225 18396 18522 18536 18816 18900 19208 19440 19600 19710 19845 19860 20160 20412 20440 20580 20853 21024 21168 21184 21462 21600 21609 21900 21952 22050 22400 22680 22995 23170 23328 23360 23520 23652 23814 23832 24010 24163 24192 24300 24528 24696 24825 25039 25200 25515 25550 25725 25920 26280 26460 26480 26811 27216 27440 27594 27783 27804 28032 28224 28350 28616 28800 28812 29160 29200 29400 29565 29790 30240 30660 30870 31104 31360 31536 31752 31776 32193 32400 32438 32704 32850 32928 33075 33100 33600 34020 34300 34755 35040 35280 35478 35721 35748 35770 36015 36288 36450 36792 37044 37072 37800 38325 38416 38880 39200 39420 39690 39720 40320 40824 40880 41160 41391 41706 42048 42336 42368 42525 42924 43200 43218 43800 43904 44100 44685 45360 45990 46305 46340 46656 46720 47040 47304 47628 47664 48020 48326 48600 48657 49056 49275 49392 49650 50078 50400 51030 51100 51450 51840 52560 52920 52960 53217 53622 53655 54432 54880 55188 55566 55608 56448 56700 57232 57624 57925 58320 58400 58800 59130 59535 59580 60025 60480 61320 61740 62559 63072 63504 63552 64386 64800 64827 64876 65408 65700 65856 66150 66200 67200 68040 68600 68985 69510 70080 70560 70956 71442 71496 71540 72030 72489 72576 72900 73584 74088 74144 74475 75117 75600 76650 76832 77175 77760 78400 78840 79380 79440 80433 81095 81648 81760 82320 82782 83349 83412 84096 84672 85050 85848 86400 86436 87600 88200 88695 89370 89425 90720 91980 92610 92680 93312 94080 94608 95256 95328 96040 96579 96652 97200 97314 98112 98550 98784 99225 99300 100156 100800 102060 102200 102900 104265 105120 105840 105920 106434 107244 107310 108045 108864 109760 110376 111132 111216 113400 113533 114464 114975 115248 115850 116640 116800 117600 118260 119070 119160 120050 120815 120960 122640 123480 124173 125118 125195 126144 127008 127104 127575 128772 129600 129654 129752 131400 131712 132300 132400 134055 136080 137200 137970 138915 139020 140160 141120 141912 142884 142992 143080 144060 144978 145800 145971 147168 147825 148176 148288 148950 150234 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20599427520 20885530680 21482260128 21578163075 21920673600 22070815200 22277899392 22377354300 22715380800 22888252800 23016707280 23174355960 23206145200 23496222015 23869177920 24167542644 24660757800 24719313024 25062636816 25554803400 25574119200 25749284400 26106913350 26304808320 26484978240 26521308800 26852825160 27258456960 27620048736 27847374240 28183723200 28195466418 28643013504 28770884100 28967944950 29205489600 29427753600 29836472400 30209428305 30688943040 30899141280 31328296020 32223390192 32881010400 33106222800 33416849088 33566031450 34073071200 34098825600 34332379200 34525060920 34809217800 35803766880 36826731648 37078969536 37129832320 37593955224 37835683200 38361178800 38623926600 39160370025 39457212480 39781963200 40279237740 40887685440 41198855040 41771061360 42293199627 42964520256 43156326150 43841347200 44141630400 44754708600 45430761600 46033414560 46348711920 46412290400 46992444030 47738355840 48335085288 49321515600 50125273632 50349047175 51109606800 51148238400 51498568800 52213826700 52969956480 53705650320 55240097472 55694748480 56367446400 56390932836 57541768200 57935889900 58410979200 59672944800 60418856610 61377886080 61798282560 62656592040 64446780384 65762020800 66212445600 66833698176 67132062900 68146142400 68664758400 69050121840 69618435600 70488666045 71607533760 74157939072 75187910448 76722357600 77247853200 78320740050 78914424960 79563926400 80558475480 81775370880 83542122720 84586399254 85929040512 86312652300 88283260800 89509417200 92066829120 92697423840 92824580800 93984888060 96670170576 98643031200 100250547264 100698094350 102219213600 102296476800 102997137600 104427653400 107411300640 110480194944 111389496960 112781865672 115083536400 115871779800 117481110075 119345889600 120837713220 123596565120 125313184080 128893560768 131524041600 132424891200 134264125800 136292284800 138100243680 139236871200 140977332090 143215067520 150375820896 151047141525 153444715200 154495706400 156641480100 161116950960 167084245440 169172798508 172625304600 179018834400 184133658240 185394847680 185649161600 187969776120 193340341152 197286062400 200501094528 201396188700 204438427200 205994275200 208855306800 211465998135 214822601280 225563731344 230167072800 231743559600 234962220150 238691779200 241675426440 250626368160 257787121536 264849782400 268528251600 276200487360 278473742400 281954664180 300751641792 302094283050 306889430400 308991412800 313282960200 322233901920 334168490880 338345597016 345250609200 352443330225 358037668800 370789695360 375939552240 386680682304 394572124800 402792377400 408876854400 417710613600 422931996270 429645202560 451127462688 460334145600 463487119200 469924440300 483350852880 501252736320 537056503200 552400974720 556947484800 563909328360 601503283584 604188566100 617982825600 626565920400 644467803840 676691194032 690501218400 704886660450 716075337600 751879104480 773361364608 805584754800 835421227200 845863992540 902254925376 920668291200 926974238400 939848880600 966701705760 1002505472640 1057329990675 1074113006400 1127818656720 1208377132200 1253131840800 1288935607680 1353382388064 1381002436800 1409773320900 1503758208960 1611169509600 1670842454400 1691727985080 1804509850752 1853948476800 1879697761200 1933403411520 2114659981350 2148226012800 2255637313440 2416754264400 2506263681600 2706764776128 2762004873600 2819546641800 3007516417920 3222339019200 3383455970160 3759395522400 3866806823040 4229319962700 4511274626880 4833508528800 5012527363200 5413529552256 5639093283600 6444678038400 6766911940320 7518791044800 8458639925400 9022549253760 9667017057600 11278186567200 13533823880640 15037582089600 16917279850800 19334034115200 22556373134400 27067647761280 33834559701600 45112746268800 67669119403200 135338238806400
- Sum of all divisors σ(n): 594572677989720
- Sum of proper divisors (its aliquot sum) s(n): 459234439183320
- 135338238806400 is an abundant number, because the sum of its proper divisors (459234439183320) is greater than itself. Its abundance is 323896200376920
Bases of 135338238806400
- Binary: 111101100010110111000111010011000001001100000002
- Hexadecimal: 0x7B16E3A60980
- Base-36: 1BZ1J12000
Squares and roots of 135338238806400
- 135338238806400 squared (1353382388064002) is 18316438883218154896680960000
- 135338238806400 cubed (1353382388064003) is 2478914579659809168754993283232006144000000
-
The
square root of 135338238806400 is 11633496.4136496815 -
The
cube root of 135338238806400 is 51342.0856488789
Scales and comparisons
How big is 135338238806400?- 135,338,238,806,400 seconds is equal to 4,303,337 years, 19 weeks.
-
To count from 1 to 135,338,238,806,400 would take you about ten million, seven hundred fifty-eight thousand, three hundred forty-three 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 135338238806400 cubic inches would be around 4278.5 feet tall.
Recreational maths with 135338238806400
- 135338238806400 backwards is 004608832833531
- 135338238806400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135338238806400's digits is 54
- More coming soon!
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Cite this page
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"Number 135338238806400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 135338238806400 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/135338238806400/
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Numbermatics. 2024. "Number 135338238806400 - Facts about the integer". https://numbermatics.com/n/135338238806400/
The information we have on file for 135338238806400 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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