135133768000
135,133,768,000 is an even composite number composed of five prime numbers multiplied together.
135133768000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 135133768000:
26 × 53 × 73 × 113 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 37)See below for interesting mathematical facts about the number 135133768000 from the Numbermatics database.
Names of 135133768000
- Cardinal: 135133768000 can be written as One hundred thirty-five billion, one hundred thirty-three million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.35133768 × 1011
Factors of 135133768000
Divisors of 135133768000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 37 40 44 49 50 55 56 64 70 74 77 80 88 98 100 110 112 121 125 140 148 154 160 175 176 185 196 200 220 224 242 245 250 259 275 280 296 308 320 343 350 352 370 385 392 400 407 440 448 484 490 500 518 539 550 560 592 605 616 686 700 704 740 770 784 800 814 847 875 880 925 968 980 1000 1036 1078 1100 1120 1184 1210 1225 1232 1295 1331 1372 1375 1400 1480 1540 1568 1600 1628 1694 1715 1750 1760 1813 1850 1925 1936 1960 2000 2035 2072 2156 2200 2240 2368 2420 2450 2464 2590 2662 2695 2744 2750 2800 2849 2960 3025 3080 3136 3256 3388 3430 3500 3520 3626 3700 3773 3850 3872 3920 4000 4070 4144 4235 4312 4400 4477 4625 4840 4900 4928 5180 5324 5390 5488 5500 5600 5698 5920 5929 6050 6125 6160 6475 6512 6655 6776 6860 7000 7252 7400 7546 7700 7744 7840 8000 8140 8288 8470 8575 8624 8800 8954 9065 9250 9317 9625 9680 9800 10175 10360 10648 10780 10976 11000 11200 11396 11840 11858 12100 12250 12320 12691 12950 13024 13310 13475 13552 13720 14000 14245 14504 14800 15092 15125 15400 15680 16280 16576 16940 17150 17248 17600 17908 18130 18500 18634 18865 19250 19360 19600 19943 20350 20720 21175 21296 21560 21952 22000 22385 22792 23716 24200 24500 24640 25382 25900 26048 26620 26950 27104 27440 28000 28490 29008 29600 29645 30184 30250 30800 31339 32375 32560 33275 33880 34300 34496 35816 36260 37000 37268 37730 38500 38720 39200 39886 40700 41440 41503 42350 42592 42875 43120 44000 44770 45325 45584 46585 47432 48400 49000 49247 50764 50875 51800 53240 53900 54208 54880 56000 56980 58016 59200 59290 60368 60500 61600 62678 63455 64750 65120 65219 66550 67375 67760 68600 71225 71632 72520 74000 74536 75460 77000 78400 79772 81400 82880 83006 84700 85184 85750 86240 88000 89540 90650 91168 93170 94325 94864 96800 98000 98494 99715 101528 101750 103600 105875 106480 107800 109760 111925 113960 116032 118580 120736 121000 123200 125356 126910 129500 130240 130438 133100 134750 135520 137200 139601 142450 143264 145040 148000 148225 149072 150920 154000 156695 159544 162800 166012 166375 169400 171500 172480 179080 181300 182336 186340 188650 189728 193600 196000 196988 199430 203056 203500 207200 207515 211750 212960 215600 219373 223850 226625 227920 232925 237160 241472 242000 246235 250712 253820 259000 260876 266200 269500 271040 274400 279202 284900 286528 290080 296000 296450 298144 301840 308000 313390 317275 319088 325600 326095 332024 332750 338800 343000 344729 356125 358160 362600 372680 377300 379456 392000 393976 398860 406112 407000 414400 415030 423500 425920 431200 438746 447700 453250 455840 456533 465850 471625 474320 484000 492470 498575 501424 507640 518000 521752 532400 539000 548800 558404 559625 569800 580160 592900 596288 603680 616000 626780 634550 638176 651200 652190 664048 665500 677600 686000 689458 698005 712250 716320 725200 741125 745360 754600 783475 787952 797720 812224 814000 830060 847000 862400 877492 895400 906500 911680 913066 931700 943250 948640 968000 984940 997150 1002848 1015280 1036000 1037575 1043504 1064800 1078000 1096865 1116808 1119250 1139600 1164625 1185800 1207360 1231175 1253560 1269100 1276352 1304380 1328096 1331000 1355200 1372000 1378916 1396010 1424500 1432640 1450400 1482250 1490720 1509200 1535611 1566950 1575904 1586375 1595440 1628000 1630475 1660120 1694000 1723645 1754984 1790800 1813000 1826132 1863400 1886500 1897280 1969880 1994300 2005696 2030560 2072000 2075150 2087008 2129600 2156000 2193730 2233616 2238500 2279200 2282665 2329250 2371600 2413103 2462350 2492875 2507120 2538200 2608760 2656192 2662000 2744000 2757832 2792020 2849000 2900800 2964500 2981440 3018400 3071222 3133900 3151808 3172750 3190880 3256000 3260950 3320240 3388000 3447290 3490025 3509968 3581600 3626000 3652264 3726800 3773000 3917375 3939760 3988600 4061120 4150300 4174016 4312000 4387460 4467232 4477000 4558400 4565330 4658500 4743200 4826206 4924700 4985750 5014240 5076400 5187875 5217520 5324000 5484325 5515664 5584040 5698000 5929000 6036800 6142444 6155875 6267800 6345500 6381760 6521900 6640480 6776000 6894580 6980050 7019936 7163200 7252000 7304528 7453600 7546000 7678055 7834750 7879520 7977200 8152375 8300600 8618225 8774920 8934464 8954000 9130660 9317000 9486400 9652412 9849400 9971500 10028480 10152800 10375750 10435040 10648000 10968650 11031328 11168080 11396000 11413325 11858000 12065515 12284888 12311750 12535600 12691000 13043800 13280960 13789160 13960100 14039872 14504000 14609056 14907200 15092000 15356110 15669500 15759040 15954400 16304750 16601200 16891721 17236450 17450125 17549840 17908000 18261320 18634000 19304824 19698800 19943000 20305600 20751500 20870080 21937300 22062656 22336160 22792000 22826650 23716000 24131030 24569776 24623500 25071200 25382000 26087600 27421625 27578320 27920200 29218112 30184000 30712220 31339000 31908800 32609500 33202400 33783442 34472900 34900250 35099680 35816000 36522640 37268000 38390275 38609648 39397600 39886000 41503000 43091125 43874600 44672320 45653300 47432000 48262060 49139552 49247000 50142400 50764000 52175200 54843250 55156640 55840400 57066625 60327575 61424440 62678000 65219000 66404800 67566884 68945800 69800500 70199360 73045280 74536000 76780550 77219296 78795200 79772000 83006000 84458605 86182250 87749200 91306600 96524120 98279104 98494000 101528000 104350400 109686500 110313280 111680800 114133250 120655150 122848880 125356000 130438000 135133768 137891600 139601000 146090560 153561100 154438592 159544000 166012000 168917210 172364500 175498400 182613200 191951375 193048240 196988000 219373000 223361600 228266500 241310300 245697760 250712000 260876000 270267536 275783200 279202000 301637875 307122200 332024000 337834420 344729000 350996800 365226400 383902750 386096480 393976000 422293025 438746000 456533000 482620600 491395520 521752000 540535072 551566400 558404000 603275750 614244400 675668840 689458000 730452800 767805500 772192960 844586050 877492000 913066000 965241200 1081070144 1116808000 1206551500 1228488800 1351337680 1378916000 1535611000 1689172100 1754984000 1826132000 1930482400 2111465125 2413103000 2456977600 2702675360 2757832000 3071222000 3378344200 3652264000 3860964800 4222930250 4826206000 5405350720 6142444000 6756688400 8445860500 9652412000 12284888000 13513376800 16891721000 19304824000 27026753600 33783442000 67566884000 135133768000
- Sum of all divisors σ(n): 440872473600
- Sum of proper divisors (its aliquot sum) s(n): 305738705600
- 135133768000 is an abundant number, because the sum of its proper divisors (305738705600) is greater than itself. Its abundance is 170604937600
Bases of 135133768000
- Binary: 11111011101101001100110101001010000002
- Hexadecimal: 0x1F7699A940
- Base-36: 1Q2V5MPS
Squares and roots of 135133768000
- 135133768000 squared (1351337680002) is 18261135253877824000000
- 135133768000 cubed (1351337680003) is 2467696014814146968760832000000000
-
The
square root of 135133768000 is 367605.4515373785 -
The
cube root of 135133768000 is 5131.6216515347
Scales and comparisons
How big is 135133768000?- 135,133,768,000 seconds is equal to 4,296 years, 43 weeks, 3 days, 5 hours, 46 minutes, 40 seconds.
-
To count from 1 to 135,133,768,000 would take you about eight thousand, five hundred ninety-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 135133768000 cubic inches would be around 427.6 feet tall.
Recreational maths with 135133768000
- 135133768000 backwards is 000867331531
- 135133768000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135133768000's digits is 37
- 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 135133768000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
APA style:
Numbermatics. (2024). Number 135133768000 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/135133768000/
Chicago style:
Numbermatics. 2024. "Number 135133768000 - Facts about the integer". https://numbermatics.com/n/135133768000/
The information we have on file for 135133768000 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 135133768000, math, Factors of 135133768000, curriculum, school, college, exams, university, Prime factorization of 135133768000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five billion, one hundred thirty-three million, seven hundred sixty-eight thousand.