131974144384992
131,974,144,384,992 is an even composite number composed of seven prime numbers multiplied together.
131974144384992 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 131974144384992:
25 × 3 × 74 × 13 × 31 × 972 × 151
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 13 × 31 × 97 × 97 × 151)See below for interesting mathematical facts about the number 131974144384992 from the Numbermatics database.
Names of 131974144384992
- Cardinal: 131974144384992 can be written as One hundred thirty-one trillion, nine hundred seventy-four billion, one hundred forty-four million, three hundred eighty-four thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.31974144384992 × 1014
Factors of 131974144384992
Divisors of 131974144384992
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 32 39 42 48 49 52 56 62 78 84 91 93 96 97 98 104 112 124 147 151 156 168 182 186 194 196 208 217 224 248 273 291 294 302 312 336 343 364 372 388 392 403 416 434 453 496 546 582 588 604 624 637 651 672 679 686 728 744 776 784 806 868 906 992 1029 1057 1092 1164 1176 1208 1209 1248 1261 1274 1302 1358 1372 1456 1488 1519 1552 1568 1612 1736 1812 1911 1963 2037 2058 2114 2184 2328 2352 2401 2416 2418 2522 2548 2604 2716 2744 2821 2912 2976 3007 3038 3104 3171 3224 3472 3624 3783 3822 3926 4074 4116 4228 4368 4459 4557 4656 4681 4704 4753 4802 4832 4836 5044 5096 5208 5432 5488 5642 5889 6014 6076 6342 6448 6944 7203 7248 7399 7566 7644 7852 8148 8232 8456 8463 8736 8827 8918 9021 9114 9312 9362 9409 9506 9604 9672 10088 10192 10416 10633 10864 10976 11284 11778 12028 12152 12684 12896 13377 13741 14043 14259 14406 14496 14647 14798 15132 15288 15704 16296 16464 16912 16926 17654 17836 18042 18228 18724 18818 19012 19208 19344 19747 20176 20384 20832 21049 21266 21728 22197 22568 23556 24056 24304 25368 26481 26754 27482 28086 28227 28518 28812 29294 29596 30264 30576 31213 31408 31899 32592 32767 32928 33271 33824 33852 35308 35672 36084 36456 37448 37636 38024 38416 38688 39091 39494 40352 41223 42098 42532 43941 44394 45136 47112 48112 48608 50736 51793 52962 53508 54964 56172 56454 57036 57624 58588 59192 59241 60528 60853 61152 61789 62426 62816 63147 63798 65184 65534 65863 66542 67704 70616 71344 72168 72912 74431 74896 75272 76048 76832 78182 78988 82446 84196 85064 87882 88788 90272 93639 94224 96187 96224 98301 99813 101472 102529 103586 105924 107016 109928 112344 112908 114072 115248 117176 117273 118384 118482 121056 121706 122317 123578 124852 126294 127596 131068 131726 133084 135408 138229 141232 142688 144336 145824 147343 148862 149792 150544 152096 155379 156364 157976 164892 168392 170128 175764 177576 182559 185367 187278 188448 190411 192374 196602 197589 199626 205058 207172 211848 214032 219856 223293 224688 225816 228144 229369 230496 232897 234352 234546 236768 236964 243412 244634 247156 249704 252588 255192 262136 263452 266168 270816 273637 276458 282464 288561 288672 291679 294686 297724 301088 307587 310758 312728 315952 329784 336784 340256 351528 355152 362551 365118 366951 370734 374556 380822 384748 393204 395178 399252 410116 414344 414687 423696 425971 428064 432523 439712 442029 446586 449376 451632 454057 456288 458738 461041 465794 468704 469092 473928 486824 489268 494312 499408 505176 510384 524272 526904 532336 547274 552916 571233 577122 583358 589372 595448 615174 621516 625456 631904 659568 673309 673568 688107 698691 703056 710304 717703 725102 730236 733902 741468 749112 761644 769496 786408 790356 798504 820232 820911 828688 829374 847392 851942 856219 865046 875037 884058 893172 903264 908114 917476 922082 931588 938184 947856 967603 973648 978536 988624 998816 1010352 1020768 1031401 1048544 1053808 1064672 1087653 1094548 1105832 1142466 1154244 1166716 1178744 1190896 1230348 1243032 1250912 1277913 1297569 1319136 1332877 1346618 1362171 1376214 1383123 1397382 1406112 1420759 1435406 1450204 1460472 1467804 1482936 1498224 1523288 1538992 1572816 1580712 1597008 1605583 1640464 1641822 1657376 1658748 1703884 1712438 1730092 1750074 1768116 1786344 1816228 1834952 1844164 1863176 1876368 1895712 1915459 1935206 1947296 1957072 1977248 2019927 2020704 2041753 2062802 2107616 2153109 2175306 2189096 2211664 2284932 2308488 2333432 2357488 2381792 2460696 2486064 2555826 2568657 2595138 2665754 2693236 2724342 2752428 2766246 2794764 2841518 2870812 2900408 2902809 2920944 2935608 2965872 2981797 2996448 3027661 3046576 3077984 3094203 3145632 3161424 3178399 3194016 3211166 3227287 3280928 3283644 3317496 3407768 3424876 3460184 3500148 3536232 3572688 3632456 3669904 3688328 3726352 3752736 3791827 3830918 3870412 3914144 3998631 4039854 4083506 4125604 4262277 4306218 4350612 4378192 4423328 4569864 4616976 4666864 4713163 4714976 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2290263508 2313874472 2337728848 2349464936 2401101528 2466437624 2491864816 2548107744 2601193322 2715070449 2743060866 2801285116 2923922022 2972792368 3003439712 3102937656 3134926704 3201468704 3270572571 3341625168 3376074912 3411242359 3435395262 3470811708 3506593272 3524197404 3620093932 3657414488 3699656436 3737797224 3898562696 3901789983 3966641952 4007961139 4027654176 4049280326 4137250208 4201927674 4228178784 4316265842 4360763428 4459188552 4505159568 4580527016 4627748944 4675457696 4698929872 4802203056 4932875248 4983729632 5202386644 5430140898 5486121732 5602570232 5847844044 5945584736 6073920489 6205875312 6269853408 6335164381 6474398763 6541145142 6683250336 6822484718 6870790524 6941623416 7013186544 7048394808 7240187864 7314828976 7399312872 7475594448 7797125392 7803579966 8015922278 8098560652 8403855348 8632531684 8721526856 8918377104 9010319136 9104176627 9161054032 9255497888 9397859744 9604406112 9865750496 10233727077 10404773288 10860281796 10972243464 11205140464 11695688088 12023883417 12147840978 12411750624 12670328762 12948797526 13082290284 13644969436 13741581048 13883246832 14026373088 14096789616 14172481141 14480375728 14629657952 14798625744 14951188896 15106930447 15594250784 15607159932 16031844556 16197121304 16807710696 17265063368 17443053712 17836754208 18208353254 18322108064 19005493143 20467454154 20809546576 21720563592 21944486928 22410280928 23391376176 24047766834 24295681956 25340657524 25897595052 26164580568 27289938872 27312529881 27483162096 27766493664 28055727973 28193579232 28344962282 28960751456 29597251488 30213860894 31214319864 32063689112 32394242608 33615421392 34530126736 34886107424 36416706508 38010986286 40934908308 41619093152 42517443423 43441127184 43888973856 44346150667 45320791341 46782752352 48095533668 48591363912 50681315048 51795190104 52329161136 54579877744 54625059762 54966324192 56111455946 56689924564 60427721788 62428639728 64127378224 64788485216 67230842784 69060253472 72833413016 76021972572 81869816616 84167183919 85034886846 86882254368 88692301334 90641582682 96191067336 97182727824 101362630096 103590380208 104658322272 105748513129 109159755488 109250119524 112222911892 113379849128 120855443576 124857279456 128254756448 133038452001 145666826032 152043945144 163739633232 168334367838 170069773692 177384602668 181283165364 192382134672 194365455648 196390095811 202725260192 207180760416 211497026258 218500239048 224445823784 226759698256 241710887152 266076904002 291333652064 304087890288 317245539387 327479266464 336668735676 340139547384 354769205336 362566330728 384764269344 392780191622 422994052516 437000478096 448891647568 453519396512 483421774304 532153808004 589170287433 608175780576 634491078774 673337471352 680279094768 709538410672 725132661456 785560383244 845988105032 874000956192 897783295136 1064307616008 1178340574866 1268982157548 1346674942704 1360558189536 1374730670677 1419076821344 1450265322912 1571120766488 1691976210064 2128615232016 2356681149732 2537964315096 2693349885408 2749461341354 3142241532976 3383952420128 4124192012031 4257230464032 4713362299464 5075928630192 5498922682708 6284483065952 8248384024062 9426724598928 10151857260384 10997845365416 16496768048124 18853449197856 21995690730832 32993536096248 43991381461664 65987072192496 131974144384992
- Sum of all divisors σ(n): 456960588908544
- Sum of proper divisors (its aliquot sum) s(n): 324986444523552
- 131974144384992 is an abundant number, because the sum of its proper divisors (324986444523552) is greater than itself. Its abundance is 193012300138560
Bases of 131974144384992
- Binary: 111100000000111100111111111111011011111111000002
- Hexadecimal: 0x78079FFEDFE0
- Base-36: 1AS4323FMO
Squares and roots of 131974144384992
- 131974144384992 squared (1319741443849922) is 17417174786150715441914840064
- 131974144384992 cubed (1319741443849923) is 2298616740006096680704028977756983321919488
-
The
square root of 131974144384992 is 11488000.0167562673 -
The
cube root of 131974144384992 is 50913.1090459083
Scales and comparisons
How big is 131974144384992?- 131,974,144,384,992 seconds is equal to 4,196,369 years, 29 weeks, 3 days, 23 hours, 23 minutes, 12 seconds.
-
To count from 1 to 131,974,144,384,992 would take you about ten million, four hundred ninety thousand, nine hundred twenty-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 131974144384992 cubic inches would be around 4242.8 feet tall.
Recreational maths with 131974144384992
- 131974144384992 backwards is 299483441479131
- The number of decimal digits it has is: 15
- The sum of 131974144384992's digits is 69
- More coming soon!
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The information we have on file for 131974144384992 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 131974144384992, math, Factors of 131974144384992, curriculum, school, college, exams, university, Prime factorization of 131974144384992, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one trillion, nine hundred seventy-four billion, one hundred forty-four million, three hundred eighty-four thousand, nine hundred ninety-two.