135840166822800
135,840,166,822,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 135840166822800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2160 divisors.
135840166822800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 135840166822800:
24 × 32 × 52 × 112 × 17 × 137 × 257 × 521
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 17 × 137 × 257 × 521)See below for interesting mathematical facts about the number 135840166822800 from the Numbermatics database.
Names of 135840166822800
- Cardinal: 135840166822800 can be written as One hundred thirty-five trillion, eight hundred forty billion, one hundred sixty-six million, eight hundred twenty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.358401668228 × 1014
Factors of 135840166822800
Divisors of 135840166822800
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 30 33 34 36 40 44 45 48 50 51 55 60 66 68 72 75 80 85 88 90 99 100 102 110 120 121 132 136 137 144 150 153 165 170 176 180 187 198 200 204 220 225 240 242 255 257 264 272 274 275 300 306 330 340 360 363 374 396 400 408 411 425 440 450 484 495 510 514 521 528 548 550 561 600 605 612 660 680 685 720 726 748 765 771 792 816 822 825 850 880 900 935 968 990 1020 1028 1042 1089 1096 1100 1122 1200 1210 1224 1233 1275 1285 1320 1360 1370 1452 1496 1507 1530 1542 1563 1584 1644 1650 1683 1700 1800 1815 1870 1936 1980 2040 2055 2056 2057 2084 2178 2192 2200 2244 2313 2329 2420 2448 2466 2475 2550 2570 2605 2640 2740 2805 2827 2904 2992 3014 3025 3060 3084 3126 3288 3300 3366 3400 3425 3600 3630 3740 3825 3855 3960 4080 4110 4112 4114 4168 4356 4369 4400 4488 4521 4626 4658 4675 4689 4840 4932 4950 5100 5140 5210 5445 5480 5610 5654 5731 5808 6028 6050 6120 6165 6168 6171 6252 6425 6576 6600 6732 6800 6850 6987 7260 7480 7535 7650 7710 7815 7920 8220 8228 8336 8415 8481 8712 8738 8857 8976 9042 9075 9252 9316 9350 9378 9680 9864 9900 10200 10275 10280 10285 10420 10890 10960 11220 11308 11462 11565 11645 12056 12100 12240 12330 12336 12342 12504 12850 13025 13107 13200 13464 13563 13700 13974 14025 14135 14520 14960 15070 15300 15420 15630 16440 16456 16577 16830 16962 17193 17424 17476 17714 18084 18150 18504 18513 18632 18700 18756 19275 19728 19800 20400 20550 20560 20570 20840 20961 21780 21845 22440 22605 22616 22924 23130 23290 23445 24112 24200 24660 24684 25008 25443 25619 25700 26050 26214 26571 26928 27126 27225 27400 27948 28050 28270 28655 29040 30140 30600 30825 30840 30855 31097 31260 32880 32912 33154 33660 33924 34386 34935 34952 35209 35428 36168 36300 37008 37026 37264 37400 37512 37675 38550 39075 39321 39600 41100 41140 41680 41922 42075 42405 43560 43690 44285 44880 45210 45232 45848 46260 46580 46890 48059 48400 49320 49368 49731 50886 51238 51400 51425 51579 52100 52428 53142 54252 54450 54800 55896 56100 56540 57310 57825 58225 60280 61200 61650 61680 61710 62194 62520 63041 65535 66308 67320 67815 67848 68772 69870 69904 70418 70675 70856 71377 72336 72600 74052 74800 75024 75350 76857 77100 78150 78642 79713 82200 82280 82885 83844 84150 84810 85965 87120 87380 88570 90420 91696 92520 92565 93160 93291 93780 96118 97427 98640 98736 99462 101772 102476 102800 102850 103158 104200 104805 104856 105627 106284 108504 108900 109225 111792 112200 113025 113080 114620 115650 116450 117225 120560 123300 123420 124388 125040 126082 127215 128095 131070 132616 132855 133897 134640 135630 135696 137544 139740 140836 141350 141712 142754 143275 144177 145200 148104 149193 150700 153714 154200 154275 155485 156300 157284 159426 164400 164560 165770 167688 168300 169620 171930 174675 174760 176045 177140 180840 185040 185130 186320 186582 187560 189123 192236 194854 196605 198924 203544 204952 205700 206316 208400 209610 209712 211254 212025 212568 214131 217008 217800 218450 221425 224400 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3301900020 3305113548 3430307243 3454646800 3476395824 3523739736 3605578416 3621245650 3632090022 3645345825 3668777800 3670562225 3742153356 3755810850 3834260100 3858109200 3886477650 3888368880 3950449800 4004249700 4035655580 4097248200 4127375025 4131391935 4345494780 4368272400 4402533360 4404674670 4406818064 4439221138 4506973020 4677691695 4740539760 4805099640 4842786696 4860461100 4957670322 4989537808 5007747800 5044569475 5112346800 5181970200 5214593736 5285609604 5302321200 5338999600 5431868475 5503166700 5508522580 5613230034 5633716275 5793993040 5832553320 5872899560 5925674700 6006374550 6009297360 6053483370 6218364240 6236922260 6480614800 6518242170 6603800040 6607012005 6610227096 6658831707 6860614486 6885653225 7047479472 7242491300 7264180044 7290691650 7337555600 7341124450 7484306712 7511621700 7668520200 7772955300 7796152825 7900899600 8008499400 8071311160 8194496400 8254750050 8262783870 8690989560 8809349340 8878442276 9013946040 9080225055 9355383390 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133176634140 137212289720 140330750850 145283600880 150933518692 154363825935 159811960968 164654747664 165255677400 166470792675 171515362150 176186986800 177568845520 181604501100 187107667800 188666898365 198306812880 199764951210 205818434580 221961056900 224529201360 226400278038 242139334800 246982121496 247883516100 257273043225 260729686800 264280480200 266353268280 274424579440 280661501700 301867037384 308727651870 319623921936 330511354800 332941585350 339600417057 343030724300 363209002200 374215335600 377333796730 399529902420 411636869160 443922113800 452800556076 493964242992 495767032200 499412378025 514546086450 528560960400 532706536560 561323003400 566000695095 603734074768 617455303740 665883170700 679200834114 686061448600 726418004400 754667593460 771819129675 799059804840 823273738320 887844227600 905601112152 943334491825 991534064400 998824756050 1029092172900 1122646006800 1132001390190 1234910607480 1331766341400 1358401668228 1372122897200 1509335186920 1543638259350 1598119609680 1698002085285 1811202224304 1886668983650 1997649512100 2058184345800 2264002780380 2469821214960 2663532682800 2716803336456 2830003475475 3018670373840 3087276518700 3396004170570 3773337967300 3995299024200 4116368691600 4528005560760 5433606672912 5660006950950 6174553037400 6792008341140 7546675934600 7990598048400 8490010426425 9056011121520 11320013901900 12349106074800 13584016682280 15093351869200 16980020852850 22640027803800 27168033364560 33960041705700 45280055607600 67920083411400 135840166822800
- Sum of all divisors σ(n): 555853291143696
- Sum of proper divisors (its aliquot sum) s(n): 420013124320896
- 135840166822800 is an abundant number, because the sum of its proper divisors (420013124320896) is greater than itself. Its abundance is 284172957498096
Bases of 135840166822800
- Binary: 111101110001011110000001110001111000011100100002
- Hexadecimal: 0x7B8BC0E3C390
- Base-36: 1C5G401C40
Squares and roots of 135840166822800
- 135840166822800 squared (1358401668228002) is 18452550922446133846599840000
- 135840166822800 cubed (1358401668228003) is 2506597595611294846769019730155788352000000
-
The
square root of 135840166822800 is 11655048.9841441679 -
The
cube root of 135840166822800 is 51405.4780283423
Scales and comparisons
How big is 135840166822800?- 135,840,166,822,800 seconds is equal to 4,319,297 years, 6 weeks, 3 days, 1 hour.
-
To count from 1 to 135,840,166,822,800 would take you about ten million, seven hundred ninety-eight thousand, two hundred forty-two 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 135840166822800 cubic inches would be around 4283.8 feet tall.
Recreational maths with 135840166822800
- 135840166822800 backwards is 008228661048531
- The number of decimal digits it has is: 15
- The sum of 135840166822800's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 135840166822800 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 135840166822800 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/135840166822800/
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Numbermatics. 2024. "Number 135840166822800 - Facts about the integer". https://numbermatics.com/n/135840166822800/
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