135748003328000
135,748,003,328,000 is an even composite number composed of five prime numbers multiplied together.
135748003328000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 135748003328000:
212 × 53 × 7 × 293 × 1553
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 29 × 29 × 29 × 1553)See below for interesting mathematical facts about the number 135748003328000 from the Numbermatics database.
Names of 135748003328000
- Cardinal: 135748003328000 can be written as One hundred thirty-five trillion, seven hundred forty-eight billion, three million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.35748003328 × 1014
Factors of 135748003328000
Divisors of 135748003328000
- Number of divisors d(n): 832
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 50 56 58 64 70 80 100 112 116 125 128 140 145 160 175 200 203 224 232 250 256 280 290 320 350 400 406 448 464 500 512 560 580 640 700 725 800 812 841 875 896 928 1000 1015 1024 1120 1160 1280 1400 1450 1553 1600 1624 1682 1750 1792 1856 2000 2030 2048 2240 2320 2560 2800 2900 3106 3200 3248 3364 3500 3584 3625 3712 4000 4060 4096 4205 4480 4640 5075 5120 5600 5800 5887 6212 6400 6496 6728 7000 7168 7250 7424 7765 8000 8120 8410 8960 9280 10150 10240 10871 11200 11600 11774 12424 12800 12992 13456 14000 14336 14500 14848 15530 16000 16240 16820 17920 18560 20300 20480 21025 21742 22400 23200 23548 24389 24848 25375 25600 25984 26912 28000 28672 29000 29435 29696 31060 32000 32480 33640 35840 37120 38825 40600 42050 43484 44800 45037 46400 47096 48778 49696 50750 51200 51968 53824 54355 56000 58000 58870 59392 62120 64000 64960 67280 71680 74240 77650 81200 84100 86968 89600 90074 92800 94192 97556 99392 101500 102400 103936 105125 107648 108710 112000 116000 117740 118784 121945 124240 128000 129920 134560 143360 147175 148480 155300 162400 168200 170723 173936 179200 180148 185600 188384 194125 195112 198784 203000 207872 210250 215296 217420 224000 225185 232000 235480 243890 248480 256000 259840 269120 271775 294350 296960 310600 315259 324800 336400 341446 347872 358400 360296 371200 376768 388250 390224 397568 406000 415744 420500 430592 434840 448000 450370 464000 470960 487780 496960 512000 519680 538240 543550 588700 593920 609725 621200 630518 649600 672800 682892 695744 716800 720592 735875 742400 753536 776500 780448 795136 812000 831488 841000 853615 861184 869680 896000 900740 928000 941920 975560 993920 1039360 1076480 1087100 1125925 1177400 1219450 1242400 1261036 1299200 1306073 1345600 1358875 1365784 1391488 1441184 1471750 1484800 1507072 1553000 1560896 1576295 1590272 1624000 1682000 1707230 1722368 1739360 1792000 1801480 1856000 1883840 1951120 1987840 2078720 2152960 2174200 2251850 2354800 2438900 2484800 2522072 2598400 2612146 2691200 2717750 2731568 2782976 2882368 2943500 2969600 3014144 3048625 3106000 3121792 3152590 3180544 3248000 3364000 3414460 3444736 3478720 3584000 3602960 3712000 3767680 3902240 3975680 4157440 4268075 4305920 4348400 4503700 4709600 4877800 4969600 5044144 5196800 5224292 5382400 5435500 5463136 5565952 5629625 5764736 5887000 6028288 6097250 6212000 6243584 6305180 6361088 6496000 6530365 6728000 6828920 6957440 7205920 7424000 7535360 7804480 7881475 7951360 8536150 8611840 8696800 9007400 9142511 9419200 9755600 9939200 10088288 10393600 10448584 10764800 10871000 10926272 11131904 11259250 11529472 11774000 12056576 12194500 12424000 12487168 12610360 12992000 13060730 13456000 13657840 13914880 14411840 14848000 15070720 15608960 15762950 15902720 17072300 17223680 17393600 18014800 18285022 18838400 19511200 19878400 20176576 20787200 20897168 21340375 21529600 21742000 21852544 22263808 22518500 23058944 23548000 24113152 24389000 24848000 24974336 25220720 25984000 26121460 26912000 27315680 27829760 28823680 30141440 31217920 31525900 31805440 32651825 34144600 34787200 36029600 36570044 37676800 37876117 39022400 39407375 39756800 40353152 41794336 42680750 43059200 43484000 43705088 44527616 45037000 45712555 46117888 47096000 48778000 49696000 49948672 50441440 51968000 52242920 53824000 54631360 55659520 57647360 60282880 62435840 63051800 65303650 68289200 69574400 72059200 73140088 75353600 75752234 78044800 78814750 79513600 80706304 83588672 85361500 86118400 86968000 87410176 90074000 91425110 92235776 94192000 97556000 99392000 99897344 100882880 103936000 104485840 107648000 109262720 111319040 115294720 120565760 124871680 126103600 130607300 136578400 139148800 144118400 146280176 150707200 151504468 156089600 157629500 159027200 161412608 163259125 167177344 170723000 173936000 174820352 180148000 182850220 184471552 188384000 189380585 195112000 198784000 201765760 208971680 215296000 218525440 222638080 228562775 230589440 249743360 252207200 261214600 265132819 273156800 278297600 288236800 292560352 301414400 303008936 312179200 315259000 322825216 326518250 334354688 341446000 347872000 349640704 360296000 365700440 376768000 378761170 390224000 397568000 403531520 417943360 430592000 437050880 457125550 461178880 499486720 504414400 522429200 530265638 546313600 556595200 576473600 585120704 602828800 606017872 624358400 630518000 645650432 653036500 668709376 682892000 695744000 699281408 720592000 731400880 753536000 757522340 780448000 795136000 807063040 835886720 874101760 914251100 922357760 946902925 1008828800 1044858400 1060531276 1092627200 1113190400 1142813875 1152947200 1170241408 1212035744 1248716800 1261036000 1291300864 1306073000 1325664095 1337418752 1365784000 1391488000 1441184000 1462801760 1507072000 1515044680 1560896000 1614126080 1671773440 1748203520 1828502200 1893805850 2017657600 2089716800 2121062552 2185254400 2285627750 2305894400 2340482816 2424071488 2497433600 2522072000 2612146000 2651328190 2674837504 2731568000 2782976000 2882368000 2925603520 3014144000 3030089360 3121792000 3228252160 3343546880 3496407040 3657004400 3787611700 4035315200 4179433600 4242125104 4370508800 4571255500 4611788800 4680965632 4734514625 4848142976 5044144000 5224292000 5302656380 5349675008 5463136000 5565952000 5764736000 5851207040 6060178720 6243584000 6456504320 6628320475 6687093760 7314008800 7575223400 8070630400 8358867200 8484250208 8741017600 9142511000 9361931264 9469029250 9696285952 10088288000 10448584000 10605312760 10926272000 11529472000 11702414080 12120357440 12487168000 13256640950 13374187520 14628017600 15150446800 16141260800 16717734400 16968500416 17482035200 18285022000 18723862528 18938058500 19392571904 20176576000 20897168000 21210625520 21852544000 23058944000 23404828160 24240714880 26513281900 26748375040 29256035200 30300893600 32282521600 33141602375 33435468800 33937000832 36570044000 37447725056 37876117000 38785143808 40353152000 41794336000 42421251040 43705088000 46809656320 48481429760 53026563800 58512070400 60601787200 66283204750 66870937600 67874001664 73140088000 75752234000 77570287616 80706304000 83588672000 84842502080 87410176000 93619312640 96962859520 106053127600 117024140800 121203574400 132566409500 133741875200 135748003328 146280176000 151504468000 155140575232 161412608000 167177344000 169685004160 187238625280 193925719040 212106255200 234048281600 242407148800 265132819000 271496006656 292560352000 303008936000 334354688000 339370008320 387851438080 424212510400 468096563200 484814297600 530265638000 542992013312 585120704000 606017872000 668709376000 678740016640 775702876160 848425020800 936193126400 969628595200 1060531276000 1085984026624 1170241408000 1212035744000 1357480033280 1696850041600 1939257190400 2121062552000 2340482816000 2424071488000 2714960066560 3393700083200 3878514380800 4242125104000 4680965632000 4848142976000 5429920133120 6787400166400 8484250208000 9696285952000 13574800332800 16968500416000 19392571904000 27149600665600 33937000832000 67874001664000 135748003328000
- Sum of all divisors σ(n): 401269242366720
- Sum of proper divisors (its aliquot sum) s(n): 265521239038720
- 135748003328000 is an abundant number, because the sum of its proper divisors (265521239038720) is greater than itself. Its abundance is 129773235710720
Bases of 135748003328000
- Binary: 111101101110110010010111000010001110000000000002
- Hexadecimal: 0x7B764B847000
- Base-36: 1C49RS9SE8
Squares and roots of 135748003328000
- 135748003328000 squared (1357480033280002) is 18427520407538699075584000000
- 135748003328000 cubed (1357480033280003) is 2501499101609351238401167355543552000000000
-
The
square root of 135748003328000 is 11651094.5120190317 -
The
cube root of 135748003328000 is 51393.8497044419
Scales and comparisons
How big is 135748003328000?- 135,748,003,328,000 seconds is equal to 4,316,366 years, 31 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 135,748,003,328,000 would take you about ten million, seven hundred ninety thousand, nine hundred sixteen 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 135748003328000 cubic inches would be around 4282.8 feet tall.
Recreational maths with 135748003328000
- 135748003328000 backwards is 000823300847531
- The number of decimal digits it has is: 15
- The sum of 135748003328000's digits is 44
- More coming soon!
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The information we have on file for 135748003328000 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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