146042091312096
146,042,091,312,096 is an even composite number composed of five prime numbers multiplied together.
146042091312096 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 146042091312096:
25 × 3 × 73 × 313 × 533
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 31 × 31 × 31 × 53 × 53 × 53)See below for interesting mathematical facts about the number 146042091312096 from the Numbermatics database.
Names of 146042091312096
- Cardinal: 146042091312096 can be written as One hundred forty-six trillion, forty-two billion, ninety-one million, three hundred twelve thousand and ninety-six.
Scientific notation
- Scientific notation: 1.46042091312096 × 1014
Factors of 146042091312096
Divisors of 146042091312096
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 53 56 62 84 93 96 98 106 112 124 147 159 168 186 196 212 217 224 248 294 318 336 343 371 372 392 424 434 496 588 636 651 672 686 742 744 784 848 868 961 992 1029 1113 1176 1272 1302 1372 1484 1488 1519 1568 1643 1696 1736 1922 2058 2226 2352 2544 2597 2604 2744 2809 2883 2968 2976 3038 3286 3472 3844 4116 4452 4557 4704 4929 5088 5194 5208 5488 5618 5766 5936 6076 6572 6727 6944 7688 7791 8232 8427 8904 9114 9858 10388 10416 10633 10976 11236 11501 11532 11872 12152 13144 13454 15376 15582 16464 16854 17808 18179 18228 19663 19716 20181 20776 20832 21266 22472 23002 23064 24304 26288 26908 29791 30752 31164 31899 32928 33708 34503 35616 36358 36456 39326 39432 40362 41552 42532 44944 46004 46128 47089 48608 50933 52576 53816 54537 58989 59582 62328 63798 67416 69006 72716 72912 78652 78864 80507 80724 83104 85064 87079 89373 89888 92008 92256 94178 101866 107632 109074 117978 119164 124656 127596 134832 137641 138012 141267 145432 145824 148877 152799 157304 157728 161014 161448 170128 174158 178746 184016 188356 203732 208537 215264 218148 235956 238328 241521 249312 255192 261237 269664 275282 276024 282534 290864 297754 305598 314608 322028 322896 329623 340256 348316 356531 357492 368032 376712 407464 412923 417074 436296 446631 471912 476656 483042 510384 522474 550564 552048 563549 565068 581728 595508 609553 611196 625611 629216 644056 645792 659246 696632 713062 714984 753424 814928 825846 834148 872592 893262 943824 953312 963487 966084 988869 1020768 1042139 1044948 1069593 1101128 1104096 1127098 1130136 1191016 1219106 1222392 1251222 1288112 1318492 1393264 1426124 1429968 1459759 1506848 1578923 1629856 1651692 1668296 1690647 1745184 1786524 1828659 1887648 1926974 1932168 1977738 2084278 2089896 2139186 2202256 2254196 2260272 2382032 2438212 2444784 2495717 2502444 2576224 2636984 2699449 2786528 2852248 2859936 2890461 2919518 3126417 3157846 3303384 3336592 3381294 3573048 3657318 3853948 3864336 3955476 4168556 4179792 4266871 4278372 4379277 4404512 4508392 4520544 4615187 4736769 4764064 4876424 4889568 4991434 5004888 5273968 5398898 5704496 5780922 5839036 6252834 6315692 6606768 6673184 6762588 7146096 7294973 7314636 7487151 7707896 7728672 7910952 8098347 8337112 8359584 8533742 8556744 8758554 9016784 9230374 9473538 9752848 9982868 10009776 10218313 10547936 10797796 11052461 11408992 11561844 11678072 12505668 12631384 12800613 13213536 13525176 13845561 14292192 14589946 14629272 14974302 15415792 15821904 16196694 16674224 17067484 17113488 17470019 17517108 18033568 18460748 18896143 18947076 19505696 19965736 20019552 20436626 21595592 21884919 22104922 23123688 23356144 25011336 25262768 25601226 27050352 27691122 29179892 29258544 29868097 29948604 30654939 30831584 31643808 32306309 32393388 33157383 33348448 34134968 34226976 34940038 35034216 36921496 37792286 37894152 39931472 40873252 43191184 43769838 44209844 46247376 46712288 50022672 50525536 51064811 51202452 52410057 54100704 55382244 56688429 58359784 58517088 59736194 59897208 61309878 64612618 64786776 66314766 68269936 69880076 70068432 73842992 75584572 75788304 77367227 79862944 81746504 83682919 86382368 87539676 88419688 89604291 92494752 96918927 100045344 102129622 102404904 104820114 110764488 113376858 116719568 119472388 119794416 122619756 129225236 129573552 132273001 132629532 136539872 139760152 140136864 143070797 147685984 151169144 151576608 153194433 154734454 163493008 167365838 175079352 176839376 179208582 193837854 204259244 204809808 209640228 221528976 226144163 226753716 232101681 233439136 238944776 239588832 245239512 251048757 258450472 259147104 264546002 265259064 279520304 286141594 302338288 306388866 309468908 326986016 334731676 350158704 353678752 358417164 387675708 396819003 408518488 409619616 419280456 429212391 443057952 452288326 453507432 464203362 477889552 490479024 502097514 516900944 529092004 530518128 541570589 559040608 572283188 585780433 604676576 612777732 618937816 669463352 678432489 700317408 716834328 775351416 793638006 817036976 838560912 858424782 904576652 907014864 925911007 928406724 955779104 980958048 1001495579 1004195028 1033801888 1058184008 1061036256 1083141178 1144566376 1171560866 1225555464 1237875632 1338926704 1356864978 1433668656 1550702832 1583009141 1587276012 1624711767 1634073952 1677121824 1716849564 1757341299 1809153304 1814029728 1851822014 1856813448 2002991158 2008390056 2116368016 2166282356 2289132752 2343121732 2451110928 2475751264 2677853408 2713729956 2777733021 2867337312 3004486737 3101405664 3166018282 3174552024 3249423534 3433699128 3514682598 3618306608 3703644028 3713626896 4005982316 4016780112 4100463031 4232736032 4332564712 4435194707 4578265504 4686243464 4749027423 4902221856 5427459912 5555466042 6008973474 6332036564 6349104048 6498847068 6867398256 7010469053 7029365196 7236613216 7407288056 7427253792 8011964632 8033560224 8200926062 8665129424 8870389414 9372486928 9498054846 10854919824 11110932084 12017946948 12301389093 12664073128 12698208096 12997694136 13305584121 13734796512 14020938106 14058730392 14814576112 16023929264 16401852124 17330258848 17740778828 18744973856 18996109692 21031407159 21709839648 22221864168 24035893896 24602778186 25328146256 25995388272 26611168242 28041876212 28117460784 28703241217 29629152224 31046362949 32047858528 32803704248 35481557656 37992219384 42062814318 44443728336 48071787792 49073283371 49205556372 50656292512 51990776544 53222336484 56083752424 56234921568 57406482434 62092725898 65607408496 70963115312 75984438768 84125628636 86109723651 88887456672 93139088847 96143575584 98146566742 98411112744 106444672968 112167504848 114812964868 124185451796 131214816992 141926230624 147219850113 151968877536 168251257272 172219447302 186278177694 196293133484 196822225488 212889345936 217324540643 224335009696 229625929736 248370903592 294439700226 336502514544 344438894604 372556355388 392586266968 393644450976 425778691872 434649081286 459251859472 496741807184 588879400452 651973621929 673005029088 688877789208 745112710776 785172533936 869298162572 918503718944 993483614368 1177758800904 1303947243858 1377755578416 1490225421552 1521271784501 1570345067872 1738596325144 2355517601808 2607894487716 2755511156832 2980450843104 3042543569002 3477192650288 4563815353503 4711035203616 5215788975432 6085087138004 6954385300576 9127630707006 10431577950864 12170174276008 18255261414012 20863155901728 24340348552016 36510522828024 48680697104032 73021045656048 146042091312096
- Sum of all divisors σ(n): 470853347328000
- Sum of proper divisors (its aliquot sum) s(n): 324811256015904
- 146042091312096 is an abundant number, because the sum of its proper divisors (324811256015904) is greater than itself. Its abundance is 178769164703808
Bases of 146042091312096
- Binary: 1000010011010011000100101111100110010011111000002
- Hexadecimal: 0x84D312F993E0
- Base-36: 1FRMT6GZXC
Squares and roots of 146042091312096
- 146042091312096 squared (1460420913120962) is 21328292434810585962875913216
- 146042091312096 cubed (1460420913120963) is 3114828431295693918688291376268895667060736
-
The
square root of 146042091312096 is 12084787.5989649069 -
The
cube root of 146042091312096 is 52661.4340144235
Scales and comparisons
How big is 146042091312096?- 146,042,091,312,096 seconds is equal to 4,643,686 years, 39 weeks, 5 days, 18 hours, 41 minutes, 36 seconds.
-
To count from 1 to 146,042,091,312,096 would take you about eleven million, six hundred nine thousand, two hundred sixteen 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 146042091312096 cubic inches would be around 4388.5 feet tall.
Recreational maths with 146042091312096
- 146042091312096 backwards is 690213190240641
- 146042091312096 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 146042091312096's digits is 48
- More coming soon!
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The information we have on file for 146042091312096 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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