135071396064000
135,071,396,064,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135071396064000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
135071396064000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 135071396064000:
28 × 32 × 53 × 11 × 37 × 59 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 37 × 59 × 19531)See below for interesting mathematical facts about the number 135071396064000 from the Numbermatics database.
Names of 135071396064000
- Cardinal: 135071396064000 can be written as One hundred thirty-five trillion, seventy-one billion, three hundred ninety-six million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.35071396064 × 1014
Factors of 135071396064000
Divisors of 135071396064000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 37 40 44 45 48 50 55 59 60 64 66 72 74 75 80 88 90 96 99 100 110 111 118 120 125 128 132 144 148 150 160 165 176 177 180 185 192 198 200 220 222 225 236 240 250 256 264 275 288 295 296 300 320 330 333 352 354 360 370 375 384 396 400 407 440 444 450 472 480 495 500 528 531 550 555 576 590 592 600 640 649 660 666 704 708 720 740 750 768 792 800 814 825 880 885 888 900 925 944 960 990 1000 1056 1062 1100 1110 1125 1152 1180 1184 1200 1221 1280 1298 1320 1332 1375 1408 1416 1440 1475 1480 1500 1584 1600 1628 1650 1665 1760 1770 1776 1800 1850 1888 1920 1947 1980 2000 2035 2112 2124 2183 2200 2220 2250 2304 2360 2368 2400 2442 2475 2596 2640 2655 2664 2750 2775 2816 2832 2880 2950 2960 3000 3168 3200 3245 3256 3300 3330 3520 3540 3552 3600 3663 3700 3776 3840 3894 3960 4000 4070 4125 4224 4248 4366 4400 4425 4440 4500 4625 4720 4736 4800 4884 4950 5192 5280 5310 5328 5500 5550 5664 5760 5841 5900 5920 6000 6105 6336 6400 6490 6512 6549 6600 6660 7040 7080 7104 7200 7326 7375 7400 7552 7788 7920 8000 8140 8250 8325 8448 8496 8732 8800 8850 8880 9000 9250 9440 9472 9600 9735 9768 9900 10175 10384 10560 10620 10656 10915 11000 11100 11328 11520 11682 11800 11840 12000 12210 12375 12672 12980 13024 13098 13200 13275 13320 13875 14080 14160 14208 14400 14652 14750 14800 15104 15576 15840 16000 16225 16280 16500 16650 16992 17464 17600 17700 17760 18000 18315 18500 18880 19200 19470 19531 19536 19647 19800 20350 20768 21120 21240 21312 21830 22000 22125 22200 22656 23364 23600 23680 24000 24013 24420 24750 25344 25960 26048 26196 26400 26550 26640 27750 28320 28416 28800 29205 29304 29500 29600 30525 31152 31680 32000 32450 32560 32745 33000 33300 33984 34928 35200 35400 35520 36000 36630 37000 37760 38940 39062 39072 39294 39600 40700 41536 41625 42240 42480 42624 43660 44000 44250 44400 45312 46728 47200 47360 48000 48026 48675 48840 49500 50875 51920 52096 52392 52800 53100 53280 54575 55500 56640 57600 58410 58593 58608 59000 59200 61050 62304 63360 64900 65120 65490 66000 66375 66600 67968 69856 70400 70800 71040 72000 72039 73260 74000 75520 77880 78124 78144 78588 79200 81125 81400 83072 83250 84960 85248 87320 88000 88500 88800 91575 93456 94400 96000 96052 97350 97655 97680 98235 99000 101750 103840 104192 104784 105600 106200 106560 109150 111000 113280 116820 117186 117216 118000 118400 120065 122100 124608 126720 129800 130240 130980 132000 132750 133200 135936 139712 141600 142080 144000 144078 146025 146520 148000 152625 155760 156248 156288 157176 158400 162250 162800 163725 166144 166500 169920 174640 175779 176000 177000 177600 183150 186912 188800 192104 194700 195310 195360 196470 198000 203500 207680 209568 211200 212400 213120 214841 216117 218300 222000 226560 233640 234372 234432 236000 236800 240130 243375 244200 249216 259600 260480 261960 264000 265500 266400 272875 279424 283200 288000 288156 292050 292965 293040 296000 305250 311520 312496 312576 314352 316800 324500 325600 327450 333000 339840 349280 351558 352000 354000 355200 360195 366300 373824 377600 384208 389400 390620 390720 392940 396000 407000 415360 419136 424800 426240 429682 432234 436600 444000 457875 467280 468744 468864 472000 480260 486750 488275 488400 491175 498432 519200 520960 523920 528000 531000 532800 545750 558848 566400 576312 584100 585930 586080 592000 600325 610500 623040 624992 628704 633600 644523 649000 651200 654900 666000 679680 698560 703116 708000 710400 720390 722647 730125 732600 747648 768416 778800 781240 781440 785880 792000 814000 818625 830720 838272 849600 859364 864468 873200 878895 888000 915750 934560 937488 937728 944000 960520 973500 976550 976800 982350 1038400 1047840 1056000 1062000 1065600 1074205 1080585 1091500 1132800 1152329 1152624 1168200 1171860 1172160 1184000 1200650 1221000 1246080 1249984 1257408 1289046 1298000 1302400 1309800 1332000 1397120 1406232 1416000 1440780 1445294 1460250 1464825 1465200 1495296 1536832 1557600 1562480 1562880 1571760 1584000 1628000 1637250 1676544 1699200 1718728 1728936 1746400 1757790 1776000 1800975 1831500 1869120 1874976 1888000 1921040 1933569 1947000 1953100 1953600 1964700 2076800 2095680 2124000 2131200 2148410 2161170 2167941 2183000 2304658 2305248 2336400 2343720 2344320 2401300 2441375 2442000 2455875 2492160 2499968 2514816 2578092 2596000 2604800 2619600 2664000 2794240 2812464 2832000 2881560 2890588 2920500 2929650 2930400 3001625 3073664 3115200 3124960 3143520 3168000 3222615 3256000 3274500 3398400 3437456 3456987 3457872 3492800 3515580 3552000 3601950 3613235 3663000 3738240 3749952 3842080 3867138 3894000 3906200 3907200 3929400 4153600 4191360 4248000 4296820 4322340 4335882 4366000 4394475 4609316 4610496 4672800 4687440 4688640 4802600 4882750 4884000 4911750 4999936 5029632 5156184 5192000 5239200 5328000 5371025 5402925 5624928 5664000 5761645 5763120 5781176 5841000 5859300 5860800 6003250 6147328 6230400 6249920 6287040 6445230 6503823 6512000 6549000 6874912 6913974 6915744 6985600 7031160 7203900 7226470 7324125 7326000 7476480 7499904 7684160 7734276 7788000 7812400 7814400 7858800 7949117 8382720 8496000 8593640 8644680 8671764 8732000 8788950 9004875 9218632 9220992 9345600 9374880 9605200 9667845 9765500 9768000 9823500 10312368 10370961 10384000 10478400 10656000 10742050 10805850 10839705 11249856 11523290 11526240 11562352 11682000 11718600 11721600 12006500 12460800 12499840 12574080 12675619 12890460 13007646 13024000 13098000 13749824 13827948 13831488 13971200 14062320 14407800 14452940 14648250 14652000 14999808 15368320 15468552 15576000 15624800 15717600 15898234 16113075 16992000 17187280 17284935 17289360 17343528 17464000 17577900 18009750 18066175 18437264 18441984 18691200 18749760 19210400 19335690 19531000 19536000 19647000 20624736 20741922 20768000 20956800 21484100 21611700 21679410 21972375 22499712 23046580 23052480 23124704 23364000 23437200 23443200 23847351 24013000 24999680 25148160 25351238 25780920 26015292 26196000 26855125 27014625 27499648 27655896 27662976 28124640 28808225 28815600 28905880 29296500 29304000 30736640 30937104 31152000 31249600 31435200 31796468 32226150 32519115 34374560 34569870 34578720 34687056 34928000 35155800 36019500 36132350 36874528 37382400 37499520 38026857 38420800 38671380 39062000 39072000 39294000 39745585 41249472 41483844 41913600 42636173 42968200 43223400 43358820 43944750 44999424 46093160 46104960 46249408 46728000 46874400 47694702 48026000 48339225 50702476 51561840 51854805 52030584 52392000 53710250 54029250 54198525 54999296 55311792 55325952 56249280 57616450 57631200 57811760 58593000 58608000 61874208 62304000 62499200 62870400 63378095 63592936 64452300 65038230 68749120 69139740 69157440 69374112 69856000 70311600 71542053 72039000 72264700 73749056 74999040 76053714 76841600 77342760 78124000 78588000 79491170 80565375 82498944 82967688 85272346 85936400 86424675 86446800 86717640 87889500 90330875 92186320 92209920 92498816 93456000 93748800 95389404 96052000 96678450 101404952 103123680 103709610 104061168 104784000 107420500 108058500 108397050 110623584 112498560 114080571 115232900 115262400 115623520 117186000 117216000 119236755 123748416 124998400 125740800 126756190 127185872 127908519 128904600 130076460 137498240 138279480 138314880 138748224 140623200 143084106 144041125 144078000 144529400 147498112 152107428 153683200 154685520 156248000 157176000 158982340 161130750 162595575 164997888 165935376 170544692 171872800 172849350 172893600 173435280 175779000 180661750 184372640 184997632 186912000 187497600 190134285 190778808 192104000 193356900 198727925 202809904 206247360 207419220 208122336 209568000 213180865 214841000 216117000 216794100 221247168 224997120 228161142 230465800 230524800 231247040 234372000 238473510 241696125 247496832 253512380 254371744 255817038 257809200 259274025 260152920 270992625 274996480 276558960 276629760 277496448 281246400 286168212 288082250 288156000 289058800 294996224 304214856 309371040 312496000 314352000 316890475 317964680 322261500 325191150 331870752 341089384 343745600 345698700 345787200 346870560 351558000 357710265 361323500 368745280 374995200 380268570 381557616 383725557 384208000 386713800 397455850 405619808 412494720 414838440 416244672 426361730 429682000 432123375 432234000 433588200 442494336 456322284 460931600 461049600 462494080 468744000 468997903 476947020 483392250 494993664 507024760 508743488 511634076 515618400 518548050 520305840 541985250 553117920 554992896 562492800 570402855 572336424 576164500 576312000 578117600 596183775 608429712 618742080 624992000 628704000 633780950 635929360 639542595 644523000 650382300 663741504 682178768 687491200 691397400 691574400 693741120 703116000 715420530 722647000 737490560 760537140 763115232 767451114 768416000 773427600 794911700 811239616 812977875 824989440 829676880 832489344 852723460 859364000 864246750 864468000 867176400 884988672 912644568 921863200 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2654966016 2728715072 2765589600 2774964480 2812464000 2813987418 2852014275 2861682120 2890588000 2980918875 3042148560 3052460928 3069804456 3093710400 3168904750 3179646800 3197712975 3244958464 3251911500 3318707520 3410893840 3437456000 3456987000 3457872000 3468705600 3577102650 3650578272 3687452800 3751983224 3802685700 3815576160 3837255570 3867138000 3974558500 4056198080 4093072608 4124947200 4148384400 4162446720 4220981127 4263617300 4335882000 4424943360 4563222840 4578691392 4609316000 4624940800 4689979030 4753357125 4769470200 4867437696 5070247600 5087434880 5116340760 5156184000 5185480500 5203058400 5329521625 5457430144 5531179200 5624928000 5627974836 5704028550 5723364240 5781176000 5961837750 6084297120 6104921856 6139608912 6187420800 6337809500 6359293600 6395425950 6503823000 6637415040 6821787680 6874912000 6913974000 6915744000 6937411200 7034968545 7154205300 7301156544 7374905600 7503966448 7605371400 7631152320 7674511140 7734276000 7949117000 8112396160 8186145216 8296768800 8324893440 8441962254 8527234600 8671764000 8942756625 9126445680 9157382784 9218632000 9379958060 9506714250 9538940400 9593138925 9734875392 10140495200 10174869760 10232681520 10312368000 10370961000 10406116800 10659043250 10914860288 11062358400 11255949672 11408057100 11446728480 11562352000 11724947575 11923675500 12168594240 12279217824 12374841600 12675619000 12718587200 12790851900 13007646000 13274830080 13643575360 13827948000 13874822400 14069937090 14260071375 14308410600 14602313088 15007932896 15210742800 15262304640 15349022280 15468552000 15898234000 15988564875 16224792320 16372290432 16593537600 16883924508 17054469200 17343528000 17885513250 18252891360 18314765568 18437264000 18759916120 19013428500 19077880800 19186277850 20280990400 20465363040 20624736000 20741922000 20812233600 21104905635 21318086500 22124716800 22511899344 22816114200 22893456960 23124704000 23449895150 23847351000 24337188480 24558435648 25351238000 25437174400 25581703800 26015292000 27287150720 27655896000 28139874180 28520142750 28616821200 29204626176 30015865792 30421485600 30524609280 30698044560 30937104000 31796468000 31977129750 32744580864 33187075200 33767849016 34108938400 34687056000 35174842725 35771026500 36505782720 36874528000 37519832240 38026857000 38155761600 38372555700 40561980800 40930726080 41483844000 41624467200 42209811270 42636173000 45023798688 45632228400 45786913920 46899790300 47694702000 47965694625 48674376960 49116871296 50702476000 50874348800 51163407600 52030584000 54574301440 55311792000 56279748360 57040285500 57233642400 58624737875 60031731584 60842971200 61396089120 61874208000 63592936000 63954259500 66374150400 67535698032 68217876800 69374112000 70349685450 71542053000 73011565440 75039664480 76053714000 76311523200 76745111400 81123961600 81861452160 82967688000 84419622540 85272346000 90047597376 91264456800 91573827840 93799580600 95389404000 95931389250 98233742592 101404952000 102326815200 104061168000 105524528175 110623584000 112559496720 114080571000 114467284800 117249475750 120063463168 121685942400 122792178240 127185872000 127908519000 135071396064 136435753600 140699370900 143084106000 146023130880 150079328960 152107428000 152623046400 153490222800 163722904320 165935376000 168839245080 170544692000 175874213625 180095194752 182528913600 187599161200 190778808000 191862778500 202809904000 204653630400 208122336000 211049056350 225118993440 228161142000 228934569600 234498951500 243371884800 245584356480 254371744000 255817038000 270142792128 272871507200 281398741800 286168212000 300158657920 304214856000 306980445600 331870752000 337678490160 341089384000 351748427250 360190389504 365057827200 375198322400 381557616000 383725557000 405619808000 409307260800 422098112700 450237986880 456322284000 457869139200 468997903000 491168712960 511634076000 527622640875 540285584256 562797483600 572336424000 600317315840 608429712000 613960891200 675356980320 682178768000 703496854500 730115654400 750396644800 763115232000 767451114000 818614521600 844196225400 900475973760 912644568000 937995806000 1023268152000 1055245281750 1080571168512 1125594967200 1144672848000 1216859424000 1227921782400 1350713960640 1364357536000 1406993709000 1500793289600 1534902228000 1688392450800 1800951947520 1825289136000 1875991612000 2046536304000 2110490563500 2251189934400 2289345696000 2455843564800 2701427921280 2813987418000 3001586579200 3069804456000 3376784901600 3650578272000 3751983224000 4093072608000 4220981127000 4502379868800 5402855842560 5627974836000 6139608912000 6753569803200 7503966448000 8441962254000 9004759737600 11255949672000 12279217824000 13507139606400 15007932896000 16883924508000 22511899344000 27014279212800 33767849016000 45023798688000 67535698032000 135071396064000
- Sum of all divisors σ(n): 553798352540160
- Sum of proper divisors (its aliquot sum) s(n): 418726956476160
- 135071396064000 is an abundant number, because the sum of its proper divisors (418726956476160) is greater than itself. Its abundance is 283655560412160
Bases of 135071396064000
- Binary: 111101011011000110000101001010011101011000000002
- Hexadecimal: 0x7AD8C294EB00
- Base-36: 1BVMXXRY80
Squares and roots of 135071396064000
- 135071396064000 squared (1350713960640002) is 18244282034677954692096000000
- 135071396064000 cubed (1350713960640003) is 2464280644609305800905545986310144000000000
-
The
square root of 135071396064000 is 11622022.0299223319 -
The
cube root of 135071396064000 is 51308.3201807753
Scales and comparisons
How big is 135071396064000?- 135,071,396,064,000 seconds is equal to 4,294,852 years, 30 weeks, 5 days, 8 hours.
-
To count from 1 to 135,071,396,064,000 would take you about ten million, seven hundred thirty-seven thousand, one hundred thirty-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 135071396064000 cubic inches would be around 4275.7 feet tall.
Recreational maths with 135071396064000
- 135071396064000 backwards is 000460693170531
- 135071396064000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135071396064000's digits is 45
- More coming soon!
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The information we have on file for 135071396064000 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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