137983424535216
137,983,424,535,216 is an even composite number composed of five prime numbers multiplied together.
What does the number 137983424535216 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 800 divisors.
137983424535216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred divisors.
Prime factorization of 137983424535216:
24 × 34 × 133 × 293 × 1987
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 29 × 29 × 29 × 1987)See below for interesting mathematical facts about the number 137983424535216 from the Numbermatics database.
Names of 137983424535216
- Cardinal: 137983424535216 can be written as One hundred thirty-seven trillion, nine hundred eighty-three billion, four hundred twenty-four million, five hundred thirty-five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.37983424535216 × 1014
Factors of 137983424535216
Divisors of 137983424535216
- Number of divisors d(n): 800
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 81 87 104 108 116 117 144 156 162 169 174 208 216 232 234 261 312 324 338 348 351 377 432 464 468 507 522 624 648 676 696 702 754 783 841 936 1014 1044 1053 1131 1296 1352 1392 1404 1508 1521 1566 1682 1872 1987 2028 2088 2106 2197 2262 2349 2523 2704 2808 3016 3042 3132 3364 3393 3974 4056 4176 4212 4394 4524 4563 4698 4901 5046 5616 5961 6032 6084 6264 6591 6728 6786 7569 7948 8112 8424 8788 9048 9126 9396 9802 10092 10179 10933 11922 12168 12528 13182 13456 13572 13689 14703 15138 15896 16848 17576 17883 18096 18252 18792 19604 19773 20184 20358 21866 22707 23844 24336 24389 25831 26364 27144 27378 29406 30276 30537 31792 32799 35152 35766 36504 37584 39208 39546 40368 40716 43732 44109 45414 47688 48778 51662 52728 53649 54288 54756 57623 58812 59319 60552 61074 63713 65598 68121 71532 73008 73167 77493 78416 79092 81432 87464 88218 90828 95376 97556 98397 103324 105456 107298 109512 115246 117624 118638 121104 122148 127426 131196 132327 136242 142129 143064 146334 154986 158184 160947 162864 172869 174928 176436 177957 181656 191139 195112 196794 206648 214596 219024 219501 230492 232479 235248 237276 244296 254852 262392 264654 272484 284258 286128 292668 295191 309972 316368 317057 321894 335803 345738 352872 355914 363312 382278 390224 393588 396981 413296 426387 429192 439002 460984 464958 474552 488592 509704 518607 524784 529308 544968 568516 573417 585336 590382 619944 634114 643788 658503 671606 691476 697437 705744 711828 749099 764556 787176 793962 852774 858384 878004 885573 921968 929916 949104 951171 1007409 1019408 1037214 1058616 1089936 1137032 1146834 1170672 1180764 1239888 1268228 1279161 1287576 1317006 1343212 1382952 1394874 1423656 1498198 1529112 1555821 1574352 1587924 1671067 1705548 1720251 1756008 1771146 1847677 1859832 1902342 1975509 2014818 2074428 2092311 2117232 2247297 2274064 2293668 2361528 2536456 2558322 2575152 2634012 2686424 2765904 2789748 2847312 2853513 2996396 3022227 3058224 3111642 3175848 3342134 3411096 3440502 3512016 3542292 3695354 3719664 3804684 3837483 3951018 4029636 4121741 4148856 4184622 4365439 4494594 4587336 4667463 4723056 5013201 5072912 5116644 5160753 5268024 5372848 5543031 5579496 5707026 5992792 6044454 6223284 6351696 6684268 6741891 6822192 6881004 7084584 7390708 7609368 7674966 7902036 8059272 8243482 8297712 8369244 8560539 8730878 8989188 9066681 9174672 9334926 9738287 10026402 10233288 10321506 10536048 11086062 11158992 11414052 11512449 11985584 12088908 12365223 12446568 13096317 13368536 13483782 13762008 14169168 14781416 15039603 15218736 15349932 15804072 16118544 16486964 16629093 16738488 17121078 17461756 17978376 18133362 18669852 19476574 20052804 20225673 20466576 20643012 21723871 22172124 22828104 23024898 24177816 24730446 24893136 25681617 26192634 26737072 26967564 27200043 27524016 29214861 29562832 30079206 30699864 31608144 32973928 33258186 33476976 34242156 34923512 35956752 36266724 37095669 37339704 38953148 39288951 40105608 40451346 41286024 43447742 44344248 45118809 45656208 46049796 48355632 48460943 49460892 49887279 51363234 52385268 53582633 53935128 54400086 58429722 60158412 60677019 61399728 65171613 65947856 66516372 68484312 69847024 72533448 74191338 74679408 77906296 78577902 80211216 80902692 82572048 86895484 87644583 88688496 90237618 92099592 96921886 98921784 99774558 102726468 104770536 107165266 107870256 108800172 111287007 116859444 117866853 120316824 121354038 126597731 130343226 133032744 135356427 136968624 145066896 145382829 148382676 149661837 155812592 157155804 160747899 161805384 173790968 175289166 180475236 184199184 193843772 195514839 197843568 199549116 205452936 209541072 214330532 217600344 222574014 233718888 235733706 240633648 242708076 253195462 260686452 262933749 266065488 270712854 282410323 290765658 296765352 299323674 314311608 321495798 323610768 333861021 347581936 350578332 353600559 360950472 379793193 387687544 391029678 399098232 410905872 428661064 435200688 436148487 445148028 467437776 471467412 482243697 485416152 506390924 521372904 525867498 541425708 564820646 581531316 586544517 593530704 598647348 628623216 629992259 642991596 667722042 701156664 707201118 721900944 759586386 775375088 782059356 788801247 798196464 847230969 857322128 872296974 890296056 942934824 964487394 970832304 1012781848 1042745808 1051734996 1082851416 1129641292 1139379579 1163062632 1173089034 1197294696 1259984518 1285983192 1308445461 1335444084 1402313328 1414402236 1446731091 1519172772 1564118712 1577602494 1694461938 1744593948 1759633551 1780592112 1885869648 1889976777 1928974788 2025563696 2103469992 2165702832 2259282584 2278759158 2326125264 2346178068 2394589392 2519969036 2541692907 2571966384 2616890922 2670888168 2828804472 2893462182 3038345544 3128237424 3155204988 3388923876 3418138737 3489187896 3519267102 3671334199 3779953554 3857949576 3925336383 4206939984 4340193273 4518565168 4557518316 4692356136 5039938072 5083385814 5233781844 5341776336 5657608944 5669930331 5786924364 6076691088 6310409976 6777847752 6836277474 6978375792 7038534204 7342668398 7559907108 7625078721 7715899152 7850672766 8189899367 8680386546 9115036632 9384712272 10079876144 10166771628 10254416211 10467563688 11014002597 11339860662 11573848728 12620819952 13555695504 13672554948 14077068408 14685336796 15119814216 15250157442 15701345532 16379798734 17009790993 17360773092 18230073264 20333543256 20508832422 20935127376 22028005194 22679721324 22875236163 23147697456 24569698101 27345109896 28154136816 29370673592 30239628432 30500314884 31402691064 32759597468 33042007791 34019581986 34721546184 40667086512 41017664844 44056010388 45359442648 45750472326 49139396202 51029372979 54690219792 58741347184 61000629768 62805382128 65519194936 66084015582 68039163972 69443092368 73709094303 82035329688 88112020776 90718885296 91500944652 98278792404 99126023373 102058745958 106468691771 122001259536 131038389872 132168031164 136078327944 147418188606 164070659376 176224041552 183001889304 196557584808 198252046746 204117491916 212937383542 221127282909 264336062328 272156655888 294836377212 297378070119 319406075313 366003778608 393115169616 396504093492 408234983832 425874767084 442254565818 528672124656 589672754424 594756140238 638812150626 663381848727 793008186984 816469967664 851749534168 884509131636 958218225939 1179345508848 1189512280476 1277624301252 1326763697454 1586016373968 1703499068336 1769018263272 1916436451878 2379024560952 2555248602504 2653527394908 2874654677817 3538036526544 3832872903756 4758049121904 5110497205008 5307054789816 5749309355634 7665745807512 8623964033451 10614109579632 11498618711268 15331491615024 17247928066902 22997237422536 34495856133804 45994474845072 68991712267608 137983424535216
- Sum of all divisors σ(n): 448305170174400
- Sum of proper divisors (its aliquot sum) s(n): 310321745639184
- 137983424535216 is an abundant number, because the sum of its proper divisors (310321745639184) is greater than itself. Its abundance is 172338321103968
Bases of 137983424535216
- Binary: 111110101111110110001010000000100011010101100002
- Hexadecimal: 0x7D7EC5011AB0
- Base-36: 1CWSPKCB00
Squares and roots of 137983424535216
- 137983424535216 squared (1379834245352162) is 19039425446465648805624166656
- 137983424535216 cubed (1379834245352163) is 2627125124286264050337091663492454124957696
-
The
square root of 137983424535216 is 11746634.6046523469 -
The
cube root of 137983424535216 is 51674.4234507407
Scales and comparisons
How big is 137983424535216?- 137,983,424,535,216 seconds is equal to 4,387,446 years, 4 weeks, 4 days, 13 hours, 33 minutes, 36 seconds.
-
To count from 1 to 137,983,424,535,216 would take you about ten million, nine hundred sixty-eight thousand, six hundred fifteen 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 137983424535216 cubic inches would be around 4306.2 feet tall.
Recreational maths with 137983424535216
- 137983424535216 backwards is 612535424389731
- The number of decimal digits it has is: 15
- The sum of 137983424535216's digits is 63
- More coming soon!
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The information we have on file for 137983424535216 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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