1331138431114128
1,331,138,431,114,128 is an even composite number composed of eight prime numbers multiplied together.
1331138431114128 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 1331138431114128:
24 × 32 × 7 × 13 × 29 × 47 × 892 × 972
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 29 × 47 × 89 × 89 × 97 × 97)See below for interesting mathematical facts about the number 1331138431114128 from the Numbermatics database.
Names of 1331138431114128
- Cardinal: 1331138431114128 can be written as One quadrillion, three hundred thirty-one trillion, one hundred thirty-eight billion, four hundred thirty-one million, one hundred fourteen thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.331138431114128 × 1015
Factors of 1331138431114128
Divisors of 1331138431114128
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 29 36 39 42 47 48 52 56 58 63 72 78 84 87 89 91 94 97 104 112 116 117 126 141 144 156 168 174 178 182 188 194 203 208 232 234 252 261 267 273 282 291 312 329 336 348 356 364 376 377 388 406 423 464 468 504 522 534 546 564 582 609 611 623 624 658 679 696 712 728 752 754 776 801 812 819 846 873 936 987 1008 1044 1068 1092 1128 1131 1157 1164 1218 1222 1246 1261 1316 1358 1363 1392 1424 1456 1508 1552 1602 1624 1638 1692 1746 1827 1833 1869 1872 1974 2037 2088 2136 2184 2256 2262 2314 2328 2436 2444 2492 2522 2581 2632 2639 2716 2726 2813 2961 3016 3204 3248 3276 3384 3393 3471 3492 3654 3666 3738 3783 3948 4074 4089 4176 4183 4272 4277 4368 4524 4559 4628 4656 4872 4888 4984 5044 5162 5264 5278 5432 5452 5499 5607 5626 5922 6032 6111 6408 6552 6768 6786 6942 6984 7308 7332 7476 7566 7743 7896 7917 7921 8099 8148 8178 8366 8439 8554 8633 8827 9048 9118 9256 9409 9541 9744 9776 9968 10088 10324 10413 10556 10864 10904 10998 11214 11252 11349 11844 12222 12267 12549 12816 12831 13104 13572 13677 13884 13968 14616 14664 14952 15132 15486 15792 15834 15842 16198 16296 16356 16732 16878 17108 17266 17654 17719 18067 18096 18236 18512 18818 19082 19691 20176 20648 20826 21112 21808 21996 22428 22504 22698 23229 23688 23751 23763 24297 24444 24534 25098 25317 25662 25899 26481 27144 27354 27768 28227 28623 29232 29281 29328 29904 30264 30972 31668 31684 31913 32396 32592 32712 33464 33553 33756 34216 34532 35308 35438 36134 36472 36569 37636 37647 38164 38493 39382 41031 41296 41652 42224 43992 44856 45008 45396 46458 47376 47502 47526 48594 48888 49068 50196 50634 51324 51798 52962 53157 54201 54288 54379 54708 55447 55536 56454 57246 58562 59073 59267 60431 60528 61944 63336 63368 63826 64792 65424 65863 66928 67106 67512 68432 69064 70616 70876 71289 72268 72891 72944 73138 75272 75294 76328 76986 77697 78764 79443 82062 83304 84681 85869 87843 87984 89712 90792 92916 95004 95052 95739 97188 97776 98136 100392 100659 101268 102648 102973 103596 105924 106314 108402 108758 109416 109707 110894 112229 112908 114492 117124 118146 118534 120862 121307 122317 123888 124033 126672 126736 127652 129584 131726 132211 134212 135024 138128 141232 141752 142578 144536 145782 146276 150544 150588 152656 153972 155394 157528 158886 159471 162603 163137 164124 166341 166608 169362 171738 175686 177219 177801 181293 181584 185832 190008 190104 191478 194376 196272 197589 200784 201318 202536 205296 205946 207192 211848 212628 216804 217516 218832 219414 221788 224458 225816 228984 229709 234248 234871 236292 237068 241724 242614 244634 248066 250357 255304 255983 263452 263529 264422 268424 272861 283504 285156 287217 289072 291564 292552 301176 301977 307944 308919 310788 315056 317772 318942 325206 326274 328248 329121 332682 336687 338724 343476 351372 354438 355602 362586 363921 366951 371664 372099 372287 380016 380208 380653 382956 388752 395178 396633 402636 405072 405751 411892 414384 414869 423696 425256 433608 435032 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59351633276 60517295468 61038996291 63051270894 63917143528 64468153386 65976329853 67601362608 69758852904 70737508296 71906786469 72995088348 73559816043 73677889584 75124918512 75401519832 77095936008 77807951316 78868256376 79556444604 81385328388 81684979818 82179184536 84025907784 84068361192 84291947259 85957537848 87968439804 89027449914 90775943202 91074057958 95299143121 95875715292 97326784464 98079754724 101582603107 103743935088 103865358233 106075259472 108513771184 108913306424 112389263012 117291253072 118302384564 118703266552 121034590936 122077992582 122527469727 126102541788 127834287056 128936306772 131952659706 133541174871 136163914803 136611086937 139517705808 141475016592 143813572938 145990176696 147119632086 150803039664 154191872016 155615902632 157736512752 159112889208 162770656776 163369959636 164358369072 168051815568 168136722384 168583894518 171915075696 175936879608 178054899828 181551886404 182148115916 190598286242 191751430584 196159509448 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980219757816 1011503367108 1055621277648 1068329398968 1089311318424 1092888695496 1143589717452 1150508583504 1176957056688 1180087261626 1218991237284 1246384298796 1275036811412 1320573840391 1348671156144 1422156443498 1524786289936 1573449682168 1625321649712 1639333043244 1661845731728 1715384576178 1765435585032 1770130892439 1828486855926 1869576448194 1912555217118 1960439515632 2023006734216 2133234665247 2136658797936 2178622636848 2185777390992 2287179434904 2360174523252 2437982474568 2492768597592 2550073622824 2641147680782 2844312886996 2868832825677 3146899364336 3278666086488 3430769152356 3530871170064 3540261784878 3656973711852 3739152896388 3825110434236 3961721521173 4046013468432 4266469330494 4574358869808 4720349046504 4875964949136 4985537195184 5100147245648 5282295361564 5688625773992 5737665651354 6399703995741 6557332172976 6861538304712 7080523569756 7313947423704 7478305792776 7650220868472 7923443042346 8532938660988 9244016882737 9440698093008 10564590723128 11377251547984 11475331302708 11885164563519 12799407991482 13723076609424 14161047139512 14627894847408 14956611585552 15300441736944 15846886084692 17065877321976 18488033765474 21129181446256 22950662605416 23770329127038 25598815982964 27732050648211 28322094279024 31693772169384 34131754643952 36976067530948 45901325210832 47540658254076 51197631965928 55464101296422 63387544338768 73952135061896 83196151944633 95081316508152 102395263931856 110928202592844 147904270123792 166392303889266 190162633016304 221856405185688 332784607778532 443712810371376 665569215557064 1331138431114128
- Sum of all divisors σ(n): 4950120676999680
- Sum of proper divisors (its aliquot sum) s(n): 3618982245885552
- 1331138431114128 is an abundant number, because the sum of its proper divisors (3618982245885552) is greater than itself. Its abundance is 2287843814771424
Bases of 1331138431114128
- Binary: 1001011101010101001110100010101010101011011100100002
- Hexadecimal: 0x4BAA9D1555B90
- Base-36: D3UKJWWQS0
Squares and roots of 1331138431114128
- 1331138431114128 squared (13311384311141282) is 1771929522788982094719361200384
- 1331138431114128 cubed (13311384311141283) is 2358683485010131142228684802107565612581425152
-
The
square root of 1331138431114128 is 36484769.8514616919 -
The
cube root of 1331138431114128 is 110003.8133971135
Scales and comparisons
How big is 1331138431114128?- 1,331,138,431,114,128 seconds is equal to 42,326,084 years, 32 weeks, 4 days, 13 hours, 28 minutes, 48 seconds.
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To count from 1 to 1,331,138,431,114,128 would take you about one hundred twenty-six million, nine hundred seventy-eight thousand, two hundred fifty-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 1331138431114128 cubic inches would be around 9167 feet tall.
Recreational maths with 1331138431114128
- 1331138431114128 backwards is 8214111348311331
- The number of decimal digits it has is: 16
- The sum of 1331138431114128's digits is 45
- More coming soon!
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"Number 1331138431114128 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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The information we have on file for 1331138431114128 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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