137972006406234
137,972,006,406,234 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137972006406234 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
137972006406234 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137972006406234:
2 × 33 × 7 × 112 × 13 × 61 × 1181 × 3221
(2 × 3 × 3 × 3 × 7 × 11 × 11 × 13 × 61 × 1181 × 3221)See below for interesting mathematical facts about the number 137972006406234 from the Numbermatics database.
Names of 137972006406234
- Cardinal: 137972006406234 can be written as One hundred thirty-seven trillion, nine hundred seventy-two billion, six million, four hundred six thousand, two hundred thirty-four.
Scientific notation
- Scientific notation: 1.37972006406234 × 1014
Factors of 137972006406234
Divisors of 137972006406234
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 61 63 66 77 78 91 99 117 121 122 126 143 154 182 183 189 198 231 234 242 273 286 297 351 363 366 378 427 429 462 546 549 594 671 693 702 726 793 819 847 854 858 1001 1089 1098 1181 1281 1287 1342 1386 1573 1586 1638 1647 1694 2002 2013 2079 2178 2362 2379 2457 2541 2562 2574 3003 3146 3221 3267 3294 3543 3843 3861 4026 4158 4697 4719 4758 4914 5082 5551 6006 6039 6442 6534 7086 7137 7381 7623 7686 7722 8267 8723 9009 9394 9438 9663 10629 11011 11102 11529 12078 12991 14091 14157 14274 14762 15246 15353 16534 16653 17446 18018 18117 19326 21258 21411 22022 22143 22547 22869 23058 24801 25982 26169 27027 28182 28314 28989 30706 31887 33033 33306 35431 36234 38973 41873 42273 42471 42822 44286 45094 45738 46059 49602 49959 51667 52338 54054 57978 61061 63774 66066 66429 67641 70862 72041 74403 77946 78507 83746 84546 84942 86967 90937 92118 95953 99099 99918 103334 106293 107471 116919 122122 125619 126819 132858 135282 138177 142901 144082 148806 149877 155001 157014 168883 173934 181874 183183 191906 196481 198198 199287 202923 212586 214942 216123 223209 233838 235521 248017 251238 253638 272811 276354 285802 287859 293111 297297 299754 310002 318879 322413 337766 350757 366366 376857 389741 392962 398574 405846 414531 428703 432246 446418 460603 465003 471042 496034 504287 506649 545622 549549 575718 586222 589443 594594 608769 637758 644826 648369 671671 701514 744051 753714 779482 792451 818433 829062 857406 863577 879333 921206 930006 936533 956637 967239 1000307 1008574 1013298 1099098 1130571 1169223 1178886 1182181 1217538 1286109 1296738 1343342 1375367 1381809 1395009 1488102 1512861 1519947 1584902 1636866 1648647 1727154 1758666 1768329 1857713 1873066 1913274 1934478 1945107 2000614 2015013 2161291 2232153 2261142 2338446 2364362 2377353 2455299 2554253 2572218 2590731 2637999 2728187 2750734 2763618 2790018 2809599 2901717 3000921 3025722 3039894 3224221 3297294 3507669 3536658 3546543 3715426 3804001 3858327 3890214 4030026 4126101 4145427 4322582 4464306 4538583 4559841 4754706 4910598 5066633 5108506 5181462 5275998 5304987 5456374 5547157 5573139 5619198 5803434 6001842 6045039 6448442 6483873 6555731 6696459 7015338 7093086 7132059 7608002 7662759 7716654 7913997 8184561 8252202 8290854 8428797 8716961 9002763 9077166 9119682 9672663 10133266 10301863 10523007 10609974 10639629 11094314 11146278 11412003 12090078 12378303 12436281 12967746 13003991 13111462 13392918 13615749 14264118 15129037 15199899 15325518 15827994 16369122 16641471 16719417 16857594 17433922 17879771 18005526 18135117 19345326 19451619 19667193 20603726 21046014 21279258 21396177 22824006 22988277 23774201 24553683 24756606 24872562 25286391 26007982 26150883 26628007 27008289 27231498 28096783 29017989 30258074 30399798 30905589 31918887 33282942 33438834 34236009 35466431 35759542 36270234 37134909 38903238 39011973 39334386 41844011 42792354 45387111 45599697 45976554 47548402 49107366 49452013 49924413 50158251 50572782 52301766 53256014 53639313 54016578 56193566 58035978 58354857 59001579 61018727 61811178 63837774 68472018 68964831 70932862 71322603 72113041 73661049 74269818 78023946 78452649 79884021 83688022 84290349 87053967 90774222 91199394 92716767 98904026 99848826 100316502 102708027 106399293 107278626 113320493 116709714 117035919 118003158 122037454 125532033 136161333 136799091 137929662 142645206 144226082 147322098 148356039 149773239 156905298 159768042 160917939 166419407 168580698 174107934 177004737 183056181 185433534 196677481 205416054 212798586 213967809 216339123 226640986 232044061 234071838 235357947 239652063 251064066 252871047 272322666 273598182 278150301 292908077 296712078 299546478 309064613 319197879 321835878 332838814 339961479 346164091 351107757 354009474 366112362 376596099 393354962 408483999 427935618 432678246 445068117 460284121 464088122 470715894 479304126 482753817 499258221 505742094 543972143 549168543 556300602 585816154 590032443 618129226 638395758 641903427 649017369 679922958 692328182 696132183 702215514 718956189 753192198 758613141 793243451 816967998 878724231 890136234 920568242 927193839 957593637 965507634 998516442 1019884437 1038492273 1087944286 1098337086 1129788297 1180064886 1283806854 1298034738 1335204351 1380852363 1392264366 1437912378 1497774663 1517226282 1586486902 1624308427 1631916429 1647505629 1757448462 1770097329 1854387678 1915187274 1947052107 2039768874 2076984546 2088396549 2163452291 2259576594 2379730353 2552484671 2636172693 2670408702 2761704726 2781581517 2995549326 3016572793 3059653311 3115476819 3221988847 3248616854 3263832858 3295011258 3540194658 3807805001 3894104214 4142557089 4176793098 4326904582 4493323989 4759460706 4872925281 4895749287 5104969342 5272345386 5310291987 5563163034 5983693573 6033145586 6119306622 6230953638 6265189647 6443977694 6490356873 7139191059 7615610002 7657454013 7908518079 8285114178 8344744551 8986647978 9049718379 9346430457 9665966541 9745850562 9791498574 10620583974 11423415003 11967387146 12427671267 12530379294 12980713746 14278382118 14618775843 14687247861 15314908026 15817036158 16689489102 17867392697 17951080719 18099436758 18692860914 19331933082 19471070619 21116009551 21417573177 22846830006 22972362039 24855342534 27149155137 28077331381 28997899623 29237551686 29374495722 33182300723 34270245009 35734785394 35902161438 38942141238 41885855011 42232019102 42835146354 43856327529 45944724078 53602178091 53853242157 54298310274 56154662762 57995799246 58413211857 63348028653 66364601446 68540490018 68917086117 81447465411 83771710022 84231994143 86993698869 87712655058 99546902169 102810735027 107204356182 107706484314 116826423714 125657565033 126696057306 137834172234 160806534273 161559726471 162894930822 168463988286 173987397738 190044085959 196541319667 199093804338 205621470054 232276105061 251315130066 252695982429 298640706507 321613068546 323119452942 365005307953 376972695099 380088171918 393082639334 464552210122 482419602819 505391964858 570132257877 589623959001 597281413014 696828315183 730010615906 753945390198 758087947287 895922119521 964839205638 1095015923859 1130918085297 1140264515754 1179247918002 1393656630366 1516175894574 1768871877003 1791844239042 2090484945549 2190031847718 2261836170594 2555037155671 3285047771577 3537743754006 4180969891098 5110074311342 5306615631009 6271454836647 6570095543154 7665111467013 9855143314731 10613231262018 12542909673294 15330222934026 19710286629462 22995334401039 45990668802078 68986003203117 137972006406234
- Sum of all divisors σ(n): 422071095720960
- Sum of proper divisors (its aliquot sum) s(n): 284099089314726
- 137972006406234 is an abundant number, because the sum of its proper divisors (284099089314726) is greater than itself. Its abundance is 146127082908492
Bases of 137972006406234
- Binary: 111110101111100000111000110111001001000010110102
- Hexadecimal: 0x7D7C1C6E485A
- Base-36: 1CWNGQA6AI
Squares and roots of 137972006406234
- 137972006406234 squared (1379720064062342) is 19036274551761875935834062756
- 137972006406234 cubed (1379720064062343) is 2626472994406518813450586830492823185620904
-
The
square root of 137972006406234 is 11746148.5775650735 -
The
cube root of 137972006406234 is 51672.9980585009
Scales and comparisons
How big is 137972006406234?- 137,972,006,406,234 seconds is equal to 4,387,083 years, 1 week, 3 days, 7 hours, 3 minutes, 54 seconds.
-
To count from 1 to 137,972,006,406,234 would take you about ten million, nine hundred sixty-seven thousand, seven hundred seven 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 137972006406234 cubic inches would be around 4306.1 feet tall.
Recreational maths with 137972006406234
- 137972006406234 backwards is 432604600279731
- 137972006406234 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137972006406234's digits is 54
- More coming soon!
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The information we have on file for 137972006406234 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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