1328542006096800
1,328,542,006,096,800 is an even composite number composed of eight prime numbers multiplied together.
1328542006096800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 1328542006096800:
25 × 32 × 52 × 113 × 17 × 71 × 331 × 347
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 11 × 17 × 71 × 331 × 347)See below for interesting mathematical facts about the number 1328542006096800 from the Numbermatics database.
Names of 1328542006096800
- Cardinal: 1328542006096800 can be written as One quadrillion, three hundred twenty-eight trillion, five hundred forty-two billion, six million, ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.3285420060968 × 1015
Factors of 1328542006096800
Divisors of 1328542006096800
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 30 32 33 34 36 40 44 45 48 50 51 55 60 66 68 71 72 75 80 85 88 90 96 99 100 102 110 120 121 132 136 142 144 150 153 160 165 170 176 180 187 198 200 204 213 220 225 240 242 255 264 272 275 284 288 300 306 330 331 340 347 352 355 360 363 374 396 400 408 425 426 440 450 480 484 495 510 528 544 550 561 568 600 605 612 639 660 662 680 694 710 720 726 748 765 781 792 800 816 825 850 852 880 900 935 968 990 993 1020 1041 1056 1065 1089 1100 1122 1136 1200 1207 1210 1224 1275 1278 1320 1324 1331 1360 1388 1420 1440 1452 1496 1530 1562 1584 1632 1650 1655 1683 1700 1704 1735 1760 1775 1800 1815 1870 1936 1980 1986 2040 2057 2082 2130 2178 2200 2244 2272 2343 2400 2414 2420 2448 2475 2550 2556 2640 2648 2662 2720 2776 2805 2840 2904 2979 2992 3025 3060 3123 3124 3168 3195 3300 3310 3366 3400 3408 3470 3550 3600 3621 3630 3641 3740 3817 3825 3872 3905 3960 3972 3993 4080 4114 4164 4260 4356 4400 4488 4675 4686 4828 4840 4896 4950 4965 5100 5112 5205 5280 5296 5324 5325 5445 5552 5610 5627 5680 5808 5899 5958 5984 6035 6050 6120 6171 6246 6248 6390 6600 6620 6655 6732 6800 6816 6940 7029 7100 7200 7242 7260 7282 7480 7634 7650 7810 7920 7944 7986 8160 8228 8275 8328 8415 8520 8591 8675 8712 8800 8976 9075 9350 9372 9656 9680 9900 9930 10200 10224 10285 10410 10592 10648 10650 10863 10890 10923 11104 11220 11254 11360 11451 11616 11715 11798 11916 11979 12070 12100 12240 12342 12492 12496 12780 13200 13240 13277 13310 13464 13600 13880 14025 14058 14200 14484 14520 14564 14895 14960 15268 15300 15615 15620 15840 15888 15972 15975 16456 16550 16656 16830 16881 17040 17182 17350 17424 17697 17952 18105 18150 18205 18513 18700 18744 19085 19312 19360 19525 19800 19860 19965 20400 20448 20570 20820 21296 21300 21726 21780 21846 22440 22508 22627 22902 23430 23501 23596 23832 23958 24140 24200 24480 24637 24684 24825 24984 24992 25560 25773 26025 26400 26480 26554 26620 26928 27225 27760 28050 28116 28135 28400 28968 29040 29128 29495 29790 29920 30175 30536 30600 30855 31230 31240 31776 31944 31950 32769 32912 33100 33275 33312 33660 33762 34080 34353 34364 34700 34848 35145 35394 36210 36300 36410 37026 37400 37488 38170 38624 39050 39600 39720 39831 39930 40051 40800 41140 41640 41987 42075 42592 42600 42955 43452 43560 43692 44880 45016 45254 45804 46860 47002 47192 47664 47916 48280 48400 49274 49368 49650 49968 50643 51120 51425 51546 52050 52960 53091 53108 53240 53856 54315 54450 54615 55520 56100 56232 56270 56800 57255 57936 58080 58256 58575 58990 59580 59895 60350 61072 61200 61710 61897 62460 62480 63888 63900 64889 65538 65824 66200 66385 66550 67320 67524 67881 68706 68728 69400 70290 70503 70788 72420 72600 72820 73911 74052 74475 74800 74976 76340 77319 78075 78100 79200 79440 79662 79860 80102 82280 83280 83974 84150 84405 85200 85910 86904 87120 87384 88485 89760 90032 90508 90525 91025 91608 92565 93720 94004 94384 94501 95328 95425 95832 96560 96800 98548 98736 99300 99825 99936 101286 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106317382050 106351425400 107643980400 108541013570 109796860008 110069760240 110905919200 111492279800 112607391600 113405207520 114371729175 116019736800 116949120255 118050649200 118408378440 119645353575 121627941600 121996511120 122299733600 124745728272 124769159100 125428814775 127621710480 129172776480 129943466950 130249216284 133790735760 134196162232 137246075010 137587200300 141756509400 142090054128 146395813344 148010473050 150970682511 152495638900 153146052576 154643464800 155932160340 157877837920 159527138100 160548882912 161465970600 162811520355 166358878800 167238419700 167745202790 170107811280 173665621712 174029605200 177612567660 182441912400 182994766680 183449600400 184519723069 187118592408 189008679200 191432565720 194915200425 195373824426 197347297400 199630654560 200686103640 201294243348 207909547120 212634764100 212702850800 215287960800 217082027140 219593720016 220139520480 222015709575 222984559600 225214783200 228743458350 233898240510 236101298400 236816756880 239290707150 243993022240 249491456544 249538318200 250857629550 251617804185 255243420960 259886933900 260498432568 267581471520 268392324464 271352533925 274492150020 275174400600 283513018800 284180108256 296020946100 301941365022 304991277800 311864320680 319054276200 322931941200 325623040710 332717757600 334476839400 335490405580 340215622560 343115187525 347331243424 348059210400 355225135320 364883824800 365989533360 366899200800 369039446138 374237184816 382865131440 389830400850 390747648852 394694594800 401372207280 402588486696 415819094240 419363006975 425269528200 425405701600 434164054280 439187440032 444031419150 445969119200 457486916700 467796481020 473633513760 478581414300 488434561065 499076636400 501715259100 503235608370 519773867800 520996865136 536784648928 542705067850 548984300040 550348801200 553559169207 567026037600 584745601275 592041892200 603882730044 609982555600 623728641360 638108552400 645863882400 651246081420 668953678800 670980811160 686230375050 710450270640 731979066720 738078892276 748474369632 754853412555 765730262880 779660801700 781495297704 789389189600 802744414560 805176973392 814057601775 838726013950 850539056400 868328108560 888062838300 914973833400 922598615345 935592962040 957162828600 976869122130 998153272800 1003430518200 1006471216740 1039547735600 1041993730272 1085410135700 1097968600080 1100697602400 1107118338414 1169491202550 1184083784400 1207765460088 1219965111200 1247457282720 1258089020925 1276217104800 1302492162840 1337907357600 1341961622320 1372460750100 1420900541280 1476157784552 1509706825110 1559321603400 1562990595408 1610353946784 1628115203550 1660677507621 1677452027900 1701078112800 1736656217120 1776125676600 1829947666800 1845197230690 1871185924080 1914325657200 1953738244260 2006861036400 2012942433480 2079095471200 2170820271400 2195937200160 2214236676828 2338982405100 2368167568800 2415530920176 2442172805325 2516178041850 2604984325680 2683923244640 2744921500200 2767795846035 2952315569104 3019413650220 3118643206800 3125981190816 3256230407100 3321355015242 3354904055800 3552251353200 3659895333600 3690394461380 3742371848160 3774267062775 3828651314400 3907476488520 4013722072800 4025884866960 4341640542800 4428473353656 4612993076725 4677964810200 4831061840352 4884345610650 5032356083700 5209968651360 5489843000400 5535591692070 5904631138208 6038827300440 6237286413600 6512460814200 6642710030484 6709808111600 7104502706400 7380788922760 7548534125550 7814952977040 8051769733920 8303387538105 8683281085600 8856946707312 9225986153450 9355929620400 9768691221300 10064712167400 10979686000800 11071183384140 12077654600880 13024921628400 13285420060968 13419616223200 13838979230175 14761577845520 15097068251100 15629905954080 16606775076210 17713893414624 18451972306900 18711859240800 19537382442600 20129424334800 22142366768280 24155309201760 26049843256800 26570840121936 27677958460350 29523155691040 30194136502200 33213550152420 36903944613800 39074764885200 40258848669600 41516937690525 44284733536560 53141680243872 55355916920700 60388273004400 66427100304840 73807889227600 78149529770400 83033875381050 88569467073120 110711833841400 120776546008800 132854200609680 147615778455200 166067750762100 221423667682800 265708401219360 332135501524200 442847335365600 664271003048400 1328542006096800
- Sum of all divisors σ(n): 5565561697253376
- Sum of proper divisors (its aliquot sum) s(n): 4237019691156576
- 1328542006096800 is an abundant number, because the sum of its proper divisors (4237019691156576) is greater than itself. Its abundance is 2908477685059776
Bases of 1328542006096800
- Binary: 1001011100001001101010010100101011110110011101000002
- Hexadecimal: 0x4B84D4A57B3A0
- Base-36: D2XFRSHPK0
Squares and roots of 1328542006096800
- 1328542006096800 squared (13285420060968002) is 1765023861963709768370970240000
- 1328542006096800 cubed (13285420060968003) is 2344908342381988384711451260394211359232000000
-
The
square root of 1328542006096800 is 36449170.1702082649 -
The
cube root of 1328542006096800 is 109932.2449438327
Scales and comparisons
How big is 1328542006096800?- 1,328,542,006,096,800 seconds is equal to 42,243,526 years, 17 weeks, 6 days, 2 hours.
-
To count from 1 to 1,328,542,006,096,800 would take you about one hundred twenty-six million, seven hundred thirty thousand, five hundred seventy-nine 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 1328542006096800 cubic inches would be around 9161 feet tall.
Recreational maths with 1328542006096800
- 1328542006096800 backwards is 0086906002458231
- The number of decimal digits it has is: 16
- The sum of 1328542006096800's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 1328542006096800 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
APA style:
Numbermatics. (2024). Number 1328542006096800 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/1328542006096800/
Chicago style:
Numbermatics. 2024. "Number 1328542006096800 - Facts about the integer". https://numbermatics.com/n/1328542006096800/
The information we have on file for 1328542006096800 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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