137200041290409104
137,200,041,290,409,104 is an even composite number composed of eight prime numbers multiplied together.
137200041290409104 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 137200041290409104:
24 × 7 × 17 × 31 × 421 × 601 × 1801 × 5101
(2 × 2 × 2 × 2 × 7 × 17 × 31 × 421 × 601 × 1801 × 5101)See below for interesting mathematical facts about the number 137200041290409104 from the Numbermatics database.
Names of 137200041290409104
- Cardinal: 137200041290409104 can be written as One hundred thirty-seven quadrillion, two hundred trillion, forty-one billion, two hundred ninety million, four hundred nine thousand, one hundred four.
Scientific notation
- Scientific notation: 1.37200041290409104 × 1017
Factors of 137200041290409104
Divisors of 137200041290409104
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 31 34 56 62 68 112 119 124 136 217 238 248 272 421 434 476 496 527 601 842 868 952 1054 1202 1684 1736 1801 1904 2108 2404 2947 3368 3472 3602 3689 4207 4216 4808 5101 5894 6736 7157 7204 7378 8414 8432 9616 10202 10217 11788 12607 13051 14314 14408 14756 16828 18631 20404 20434 23576 25214 26102 28628 28816 29512 30617 33656 35707 37262 40808 40868 47152 50099 50428 52204 55831 57256 59024 61234 67312 71414 71519 74524 81616 81736 86717 91357 100198 100856 104408 111662 114512 122468 130417 142828 143038 149048 158131 163472 173434 182714 200396 201712 208816 214319 221867 223324 244936 253021 260834 285656 286076 298096 316262 316727 346868 365428 390817 400792 428638 443734 446648 489872 506042 521668 571312 572152 607019 632524 633454 693736 730856 758221 781634 801584 857276 887468 893296 949127 1012084 1043336 1082401 1106917 1144304 1214038 1265048 1266908 1387472 1461712 1516442 1553069 1563268 1714552 1771147 1774936 1898254 2024168 2086672 2147521 2164802 2213834 2217089 2428076 2530096 2533816 2688227 3032884 3065701 3106138 3126536 3429104 3542294 3549872 3796508 4048336 4295042 4301357 4329604 4427668 4434178 4856152 5067632 5307547 5376454 6065768 6131402 6212276 6253072 6643889 7084588 7576807 7593016 7843651 8590084 8602714 8659208 8855336 8868356 9186901 9712304 10615094 10752908 12131536 12262804 12424552 12889757 13287778 14169176 15032647 15153614 15186032 15687302 17180168 17205428 17318416 17710672 17736712 18373802 18400817 18817589 21230188 21459907 21505816 23504851 24525608 24849104 25779514 26575556 28338352 30065294 30109499 30307228 31374604 33554431 34360336 34410856 35473424 36507857 36747604 36801634 37635178 42460376 42919814 43011632 47009702 49051216 51559028 52116917 53151112 54905557 60130588 60218998 60614456 62749208 64308307 66573151 67108862 68821712 73015714 73495208 73603268 75270356 84920752 85839628 90228299 94019404 95036731 103118056 104233834 106302224 109811114 120261176 120437996 121228912 125498416 128616614 128805719 133146302 133342067 134217724 146031428 146990416 147206536 150540712 156177317 164533957 171679256 180456598 188038808 190073462 206236112 208467668 219622228 234881017 240522352 240875992 255554999 257233228 257611438 266292604 266684134 268435448 284793931 292062856 294413072 301081424 312354634 329067914 343358512 360913196 364818419 376077616 380146924 399582467 416935336 439244456 455690821 466012057 469762034 481751984 511109998 514466456 515222876 532585208 533368268 536870896 569587862 570425327 584125712 624709268 658135828 665257117 721826392 729636838 760293848 799164934 833870672 878488912 911381642 932024114 933394469 939524068 1022219996 1028932912 1030445752 1065170416 1066736536 1093241219 1131743567 1139175724 1140850654 1249418536 1290660121 1316271656 1330514234 1443652784 1459273676 1520587696 1598329868 1615624427 1822763284 1864048228 1866788938 1879048136 1993557517 2044439992 2060891504 2133473072 2186482438 2263487134 2278351448 2281701308 2498837072 2581320242 2632543312 2661028468 2797077269 2918547352 3189835747 3196659736 3231248854 3645526568 3728096456 3733577876 3758096272 3867685321 3987115034 3992977289 4088879984 4372964876 4526974268 4556702896 4563402616 4841496827 5162640484 5322056936 5521327501 5594154538 5837094704 6379671494 6393319472 6462497708 7291053136 7456192912 7467155752 7735370642 7746743957 7922204969 7974230068 7985954578 8745929752 9034620847 9053948536 9126805232 9682993654 10325280968 10644113872 11042655002 11188309076 11309370989 12759342988 12924995416 14126415451 14934311504 15470741284 15493487914 15844409938 15948460136 15971909156 17491859504 18069241694 18107897072 19365987308 20650561936 21941222057 22085310004 22376618152 22618741978 25518685976 25849990832 27073797247 28252830902 30941482568 30986975828 31688819876 31896920272 31943818312 33890477789 36138483388 38649292507 38731974616 40010463751 43882444114 44170620008 44753236304 45237483956 51037371952 54147594494 54227207699 56505661804 61882965136 61973951656 63377639752 63887636624 65750650457 67780955578 72276966776 77298585014 77463949232 80020927502 87764888228 88341240016 90474967912 93862567517 98884908157 108295188988 108454415398 113011323608 119898244951 123947903312 126755279504 131501300914 135561911156 144553933552 153588554399 154597170028 160041855004 171161152531 175529776456 180949935824 187725135034 197769816314 216590377976 216908830796 226022647216 239796489902 240149062667 263002601828 271123822312 280073246257 307177108798 309194340056 320083710008 342322305062 351059552912 375450270068 395539632628 433180755952 433817661592 460254553199 479592979804 480298125334 526005203656 542247644624 560146492514 614354217596 618388680112 640167420016 657037972619 680177883767 684644610124 750900540136 791079265256 839287714657 867635323184 920509106398 959185959608 960596250668 1052010407312 1120292985028 1198128067717 1228708435192 1314075945238 1360355767534 1369289220248 1501801080272 1582158530512 1678575429314 1681043438669 1841018212796 1918371919216 1921192501336 2038270164167 2240585970056 2324478877921 2396256135434 2457416870384 2628151890476 2720711535068 2738578440496 2909739593027 3357150858628 3362086877338 3682036425592 3842385002672 4076540328334 4481171940112 4648957755842 4761245186369 4792512270868 5256303780952 5441423070136 5819479186054 6714301717256 6724173754676 7364072851184 8153080656668 9297915511684 9522490372738 9585024541736 10512607561904 10882846140272 11638958372108 13428603434512 13448347509352 14267891149169 16271352145447 16306161313336 18595831023368 19044980745476 19170049083472 20368177151189 23277916744216 26896695018704 28535782298338 32542704290894 32612322626672 37191662046736 38089961490952 39516140924657 40736354302378 46555833488432 57071564596676 65085408581788 72058845215551 76179922981904 79032281849314 81472708604756 114143129193352 130170817163576 144117690431102 158064563698628 162945417209512 228286258386704 260341634327152 276612986472599 288235380862204 316129127397256 325890834419024 504411916508857 553225972945198 576470761724408 632258254794512 1008823833017714 1106451945890396 1152941523448816 1225000368664367 2017647666035428 2212903891780792 2450000737328734 4035295332070856 4425807783561584 4900001474657468 8070590664141712 8575002580650569 9800002949314936 17150005161301138 19600005898629872 34300010322602276 68600020645204552 137200041290409104
- Sum of all divisors σ(n): 333640180429774848
- Sum of proper divisors (its aliquot sum) s(n): 196440139139365744
- 137200041290409104 is an abundant number, because the sum of its proper divisors (196440139139365744) is greater than itself. Its abundance is 59240097848956640
Bases of 137200041290409104
- Binary: 1111001110110111010110101111011000100100010100100100100002
- Hexadecimal: 0x1E76EB5EC48A490
- Base-36: 11IXCSUG7VRK
Squares and roots of 137200041290409104
- 137200041290409104 squared (1372000412904091042) is 18823851330089963035483975686082816
- 137200041290409104 cubed (1372000412904091043) is 2582633179732865260757520323501587069948551864356864
-
The
square root of 137200041290409104 is 370405239.2858517655 -
The
cube root of 137200041290409104 is 515764.4615495019
Scales and comparisons
How big is 137200041290409104?- 137,200,041,290,409,104 seconds is equal to 4,362,536,925 years, 23 weeks, 5 hours, 11 minutes, 44 seconds.
-
To count from 1 to 137,200,041,290,409,104 would take you about thirteen billion, eighty-seven million, six hundred ten thousand, seven hundred seventy-six 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 137200041290409104 cubic inches would be around 42980.4 feet tall.
Recreational maths with 137200041290409104
- 137200041290409104 backwards is 401904092140002731
- The number of decimal digits it has is: 18
- The sum of 137200041290409104's digits is 47
- More coming soon!
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The information we have on file for 137200041290409104 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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