135765131264000
135,765,131,264,000 is an even composite number composed of six prime numbers multiplied together.
135765131264000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixteen divisors.
Prime factorization of 135765131264000:
218 × 53 × 7 × 17 × 37 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 17 × 37 × 941)See below for interesting mathematical facts about the number 135765131264000 from the Numbermatics database.
Names of 135765131264000
- Cardinal: 135765131264000 can be written as One hundred thirty-five trillion, seven hundred sixty-five billion, one hundred thirty-one million, two hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.35765131264 × 1014
Factors of 135765131264000
Divisors of 135765131264000
- Number of divisors d(n): 1216
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 37 40 50 56 64 68 70 74 80 85 100 112 119 125 128 136 140 148 160 170 175 185 200 224 238 250 256 259 272 280 296 320 340 350 370 400 425 448 476 500 512 518 544 560 592 595 629 640 680 700 740 800 850 875 896 925 941 952 1000 1024 1036 1088 1120 1184 1190 1258 1280 1295 1360 1400 1480 1600 1700 1750 1792 1850 1882 1904 2000 2048 2072 2125 2176 2240 2368 2380 2516 2560 2590 2720 2800 2960 2975 3145 3200 3400 3500 3584 3700 3764 3808 4000 4096 4144 4250 4352 4403 4480 4625 4705 4736 4760 5032 5120 5180 5440 5600 5920 5950 6290 6400 6475 6587 6800 7000 7168 7400 7528 7616 8000 8192 8288 8500 8704 8806 8960 9250 9410 9472 9520 10064 10240 10360 10880 11200 11840 11900 12580 12800 12950 13174 13600 14000 14336 14800 14875 15056 15232 15725 15997 16000 16384 16576 17000 17408 17612 17920 18500 18820 18944 19040 20128 20480 20720 21760 22015 22400 23525 23680 23800 25160 25600 25900 26348 27200 28000 28672 29600 29750 30112 30464 31450 31994 32000 32375 32768 32935 33152 34000 34816 34817 35224 35840 37000 37640 37888 38080 40256 40960 41440 43520 44030 44800 47050 47360 47600 50320 51200 51800 52696 54400 56000 57344 59200 59500 60224 60928 62900 63988 64000 64750 65536 65870 66304 68000 69632 69634 70448 71680 74000 75280 75776 76160 78625 79985 80512 81920 82880 87040 88060 89600 94100 94720 95200 100640 102400 103600 105392 108800 110075 111979 112000 114688 117625 118400 119000 120448 121856 125800 127976 128000 129500 131072 131740 132608 136000 139264 139268 140896 143360 148000 150560 151552 152320 157250 159970 161024 163840 164675 165760 174080 174085 176120 179200 188200 189440 190400 201280 204800 207200 210784 217600 220150 223958 224000 229376 235250 236800 238000 240896 243712 243719 251600 255952 256000 259000 262144 263480 265216 272000 278528 278536 281792 286720 296000 301120 303104 304640 314500 319940 322048 327680 329350 331520 348160 348170 352240 358400 376400 378880 380800 399925 402560 409600 414400 421568 435200 440300 447916 448000 458752 470500 473600 476000 481792 487424 487438 503200 511904 512000 518000 526960 530432 544000 550375 557056 557072 559895 563584 573440 591889 592000 602240 606208 609280 629000 639880 644096 655360 658700 663040 696320 696340 704480 716800 752800 757760 761600 799850 805120 819200 823375 828800 843136 870400 870425 880600 895832 896000 917504 941000 947200 952000 963584 974848 974876 1006400 1023808 1024000 1036000 1053920 1060864 1088000 1100750 1114112 1114144 1119790 1127168 1146880 1183778 1184000 1204480 1212416 1218560 1218595 1258000 1279760 1288192 1310720 1317400 1326080 1392640 1392680 1408960 1433600 1505600 1515520 1523200 1599700 1610240 1638400 1646750 1657600 1686272 1740800 1740850 1761200 1791664 1792000 1835008 1882000 1894400 1904000 1927168 1949696 1949752 1999625 2012800 2047616 2048000 2072000 2107840 2121728 2176000 2201500 2228224 2228288 2239580 2254336 2293760 2367556 2368000 2408960 2424832 2437120 2437190 2516000 2559520 2576384 2634800 2652160 2785280 2785360 2799475 2817920 2867200 2959445 3011200 3031040 3046400 3199400 3220480 3276800 3293500 3315200 3372544 3481600 3481700 3522400 3583328 3584000 3764000 3788800 3808000 3854336 3899392 3899504 3999250 4025600 4095232 4096000 4143223 4144000 4215680 4243456 4352000 4352125 4403000 4456448 4456576 4479160 4508672 4587520 4735112 4736000 4817920 4849664 4874240 4874380 5032000 5119040 5152768 5269600 5304320 5570560 5570720 5598950 5635840 5734400 5918890 6022400 6062080 6092800 6092975 6398800 6440960 6553600 6587000 6630400 6745088 6963200 6963400 7044800 7166656 7168000 7528000 7577600 7616000 7708672 7798784 7799008 7998500 8051200 8190464 8192000 8286446 8288000 8431360 8486912 8704000 8704250 8806000 8913152 8958320 9017344 9175040 9470224 9472000 9635840 9699328 9748480 9748760 10064000 10238080 10305536 10539200 10608640 11141120 11141440 11197900 11271680 11468800 11837780 12044800 12124160 12185600 12185950 12797600 12881920 13174000 13260800 13490176 13926400 13926800 13997375 14089600 14333312 14336000 14797225 15056000 15155200 15232000 15417344 15597568 15598016 15997000 16102400 16380928 16384000 16572892 16576000 16862720 16973824 17408000 17408500 17612000 17826304 17916640 18034688 18940448 18944000 19271680 19496960 19497520 20128000 20476160 20611072 20716115 21078400 21217280 22282240 22282880 22395800 22543360 22937600 23675560 24089600 24248320 24371200 24371900 25595200 25763840 26348000 26521600 26980352 27852800 27853600 27994750 28179200 28666624 28672000 29594450 30112000 30310400 30464000 30464875 30834688 31195136 31196032 31994000 32204800 32761856 32768000 33145784 33152000 33725440 33947648 34816000 34817000 35224000 35652608 35833280 36069376 37880896 37888000 38543360 38993920 38995040 40256000 40952320 41222144 41432230 42156800 42434560 44565760 44791600 45086720 45875200 47351120 48179200 48496640 48742400 48743800 51190400 51527680 52696000 53043200 53960704 55705600 55707200 55989500 56358400 57333248 57344000 59188900 60224000 60620800 60928000 60929750 61669376 62392064 63988000 64409600 65523712 66291568 66304000 67450880 67895296 69632000 69634000 70448000 71305216 71666560 72138752 73986125 75761792 75776000 77086720 77987840 77990080 80512000 81904640 82444288 82864460 84313600 84869120 89131520 89583200 90173440 94702240 96358400 97484800 97487600 102380800 103055360 103580575 105392000 106086400 107921408 111411200 111414400 111979000 112716800 114666496 114688000 118377800 120448000 121241600 121856000 121859500 123338752 124784128 127976000 128819200 131047424 132583136 132608000 134901760 139264000 139268000 140896000 142610432 143333120 144277504 147972250 151523584 151552000 154173440 155975680 155980160 161024000 163809280 164888576 165728920 168627200 169738240 178263040 179166400 180346880 189404480 192716800 194969600 194975200 204761600 206110720 207161150 210784000 212172800 215842816 222828800 223958000 225433600 229332992 229376000 236755600 240896000 242483200 243712000 243719000 246677504 249568256 255952000 257638400 262094848 265166272 265216000 269803520 278528000 278536000 281792000 285220864 286666240 288555008 295944500 303047168 303104000 308346880 311960320 322048000 327618560 331457840 337254400 339476480 356526080 358332800 360693760 378808960 385433600 389939200 389950400 409523200 412221440 414322300 421568000 424345600 431685632 445657600 447916000 450867200 458665984 473511200 481792000 487424000 487438000 499136512 511904000 515276800 517902875 524189696 530332544 530432000 539607040 557056000 557072000 563584000 570441728 573332480 577110016 591889000 606094336 606208000 616693760 623920640 644096000 655237120 662915680 674508800 713052160 716665600 721387520 757617920 770867200 779878400 779900800 819046400 824442880 828644600 843136000 848691200 863371264 891315200 895832000 901734400 917331968 947022400 963584000 974848000 974876000 998273024 1023808000 1030553600 1035805750 1048379392 1060665088 1060864000 1079214080 1114144000 1127168000 1140883456 1146664960 1154220032 1183778000 1212188672 1212416000 1233387520 1247841280 1288192000 1310474240 1325831360 1349017600 1426104320 1433331200 1442775040 1515235840 1541734400 1559801600 1638092800 1657289200 1686272000 1697382400 1726742528 1782630400 1791664000 1803468800 1834663936 1894044800 1927168000 1949696000 1949752000 1996546048 2047616000 2061107200 2071611500 2096758784 2121330176 2121728000 2158428160 2228288000 2254336000 2281766912 2293329920 2367556000 2424377344 2495682560 2576384000 2620948480 2651662720 2698035200 2852208640 2866662400 2885550080 3030471680 3083468800 3119603200 3276185600 3314578400 3372544000 3565260800 3583328000 3606937600 3669327872 3788089600 3854336000 3899392000 3899504000 3993092096 4095232000 4122214400 4143223000 4193517568 4242660352 4243456000 4316856320 4456576000 4508672000 4563533824 4586659840 4735112000 4848754688 4991365120 5152768000 5241896960 5303325440 5396070400 5704417280 5733324800 5771100160 6060943360 6166937600 6239206400 6552371200 6629156800 6745088000 7130521600 7166656000 7213875200 7338655744 7576179200 7708672000 7799008000 7986184192 8190464000 8286446000 8485320704 8486912000 8633712640 8913152000 9017344000 9127067648 9173319680 9470224000 9697509376 9982730240 10305536000 10483793920 10606650880 10792140800 11408834560 11466649600 12121886720 12478412800 13104742400 13258313600 13490176000 14261043200 14333312000 14427750400 14677311488 15152358400 15417344000 15598016000 15972368384 16380928000 16572892000 16970641408 17826304000 18034688000 18346639360 18940448000 19395018752 19965460480 20611072000 20967587840 21213301760 21584281600 22817669120 22933299200 24243773440 24956825600 26209484800 26516627200 26980352000 28522086400 28666624000 28855500800 29354622976 30304716800 30834688000 31196032000 31944736768 32761856000 33145784000 33941282816 35652608000 36069376000 36693278720 37880896000 38790037504 39930920960 42426603520 43168563200 45635338240 45866598400 48487546880 49913651200 52418969600 53033254400 53960704000 57044172800 57333248000 60609433600 62392064000 63889473536 65523712000 66291568000 67882565632 71305216000 72138752000 73386557440 75761792000 77580075008 79861841920 84853207040 91733196800 96975093760 99827302400 104837939200 106066508800 107921408000 114088345600 114666496000 121218867200 124784128000 131047424000 132583136000 135765131264 142610432000 144277504000 146773114880 151523584000 155160150016 159723683840 169706414080 183466393600 193950187520 199654604800 212133017600 215842816000 228176691200 229332992000 242437734400 249568256000 262094848000 265166272000 271530262528 285220864000 303047168000 319447367680 339412828160 366932787200 387900375040 399309209600 424266035200 458665984000 484875468800 499136512000 524189696000 530332544000 543060525056 570441728000 606094336000 678825656320 733865574400 775800750080 798618419200 848532070400 917331968000 969750937600 998273024000 1060665088000 1086121050112 1140883456000 1212188672000 1357651312640 1597236838400 1697064140800 1834663936000 1939501875200 1996546048000 2121330176000 2424377344000 2715302625280 3394128281600 3669327872000 3879003750400 3993092096000 4242660352000 4848754688000 5430605250560 6788256563200 7986184192000 8485320704000 9697509376000 13576513126400 16970641408000 19395018752000 27153026252800 33941282816000 67882565632000 135765131264000
- Sum of all divisors σ(n): 421590367081728
- Sum of proper divisors (its aliquot sum) s(n): 285825235817728
- 135765131264000 is an abundant number, because the sum of its proper divisors (285825235817728) is greater than itself. Its abundance is 150060104553728
Bases of 135765131264000
- Binary: 111101101111010010010000110110000000000000000002
- Hexadecimal: 0x7B7A486C0000
- Base-36: 1C4HN1SWE8
Squares and roots of 135765131264000
- 135765131264000 squared (1357651312640002) is 18432170867131150237696000000
- 135765131264000 cubed (1357651312640003) is 2502446097256537315124102240927744000000000
-
The
square root of 135765131264000 is 11651829.5243279285 -
The
cube root of 135765131264000 is 51396.0111445789
Scales and comparisons
How big is 135765131264000?- 135,765,131,264,000 seconds is equal to 4,316,911 years, 11 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 135,765,131,264,000 would take you about ten million, seven hundred ninety-two thousand, two hundred seventy-eight 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 135765131264000 cubic inches would be around 4283 feet tall.
Recreational maths with 135765131264000
- 135765131264000 backwards is 000462131567531
- The number of decimal digits it has is: 15
- The sum of 135765131264000's digits is 44
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 135765131264000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 135765131264000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/135765131264000/
Chicago style:
Numbermatics. 2024. "Number 135765131264000 - Facts about the integer". https://numbermatics.com/n/135765131264000/
The information we have on file for 135765131264000 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!
Keywords: Divisors of 135765131264000, math, Factors of 135765131264000, curriculum, school, college, exams, university, Prime factorization of 135765131264000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, seven hundred sixty-five billion, one hundred thirty-one million, two hundred sixty-four thousand.