138548336070396
138,548,336,070,396 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138548336070396 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 432 divisors.
138548336070396 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138548336070396:
22 × 3 × 7 × 172 × 472 × 71 × 36389
(2 × 2 × 3 × 7 × 17 × 17 × 47 × 47 × 71 × 36389)See below for interesting mathematical facts about the number 138548336070396 from the Numbermatics database.
Names of 138548336070396
- Cardinal: 138548336070396 can be written as One hundred thirty-eight trillion, five hundred forty-eight billion, three hundred thirty-six million, seventy thousand, three hundred ninety-six.
Scientific notation
- Scientific notation: 1.38548336070396 × 1014
Factors of 138548336070396
Divisors of 138548336070396
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 7 12 14 17 21 28 34 42 47 51 68 71 84 94 102 119 141 142 188 204 213 238 282 284 289 329 357 426 476 497 564 578 658 714 799 852 867 987 994 1156 1207 1316 1428 1491 1598 1734 1974 1988 2023 2209 2397 2414 2982 3196 3337 3468 3621 3948 4046 4418 4794 4828 5593 5964 6069 6627 6674 7242 8092 8449 8836 9588 10011 11186 12138 13254 13348 13583 14484 15463 16779 16898 20022 20519 22372 23359 24276 25347 26508 27166 30926 33558 33796 36389 37553 40044 40749 41038 46389 46718 50694 54332 56729 61557 61852 67116 70077 72778 75106 81498 82076 92778 93436 95081 101388 109167 112659 113458 123114 140154 143633 145556 150212 156839 162996 170187 185556 190162 218334 225318 226916 246228 254723 262871 280308 285243 287266 313678 340374 380324 397103 430899 436668 450636 470517 509446 525742 570486 574532 618613 627356 638401 680748 764169 788613 794206 861798 941034 964393 1018892 1051484 1097873 1140972 1191309 1237226 1276802 1528338 1577226 1588412 1710283 1723596 1855839 1882068 1915203 1928786 2195746 2382618 2474452 2553604 2583619 2666263 2893179 3056676 3154452 3293619 3420566 3711678 3830406 3857572 4330291 4391492 4468807 4765236 5130849 5167238 5332526 5786358 6587238 6750751 6841132 7423356 7660812 7750857 7998789 8660582 8937614 10261698 10334476 10516421 10665052 11572716 11971981 12990873 13174476 13406421 13501502 15501714 15997578 17321164 17875228 18085333 18663841 20252253 20523396 21032842 23943962 25981746 26812842 27003004 29074811 31003428 31549263 31995156 35915943 36170666 37327682 40504506 42065684 43921523 45326471 47887924 51963492 53625684 54255999 55991523 58149622 63098526 71831886 72341332 73614947 74655364 80383301 81009012 87224433 87843046 90652942 108511998 111983046 116299244 121430093 126197052 131764569 135979413 143663772 147229894 160766602 174448866 175686092 181305884 203523677 217023996 220844841 223966092 241149903 242860186 263529138 271958826 294459788 307450661 317285297 321533204 348897732 364290279 407047354 441689682 482299806 485720372 494271787 527058276 543917652 562683107 610571031 614901322 634570594 728580558 746665891 814094708 850010651 883379364 922351983 951855891 964599612 988543574 1125366214 1221142062 1229802644 1269141188 1366516117 1457161116 1482815361 1493331782 1688049321 1700021302 1844703966 1903711782 1977087148 2064311581 2239997673 2250732428 2442284124 2550031953 2733032234 2965630722 2986663564 3376098642 3400042604 3459902509 3689407932 3807423564 4099548351 4128623162 4479995346 5100063906 5226661237 5466064468 5707214371 5931261444 6192934743 6752197284 6919805018 8199096702 8257246324 8959990692 9565612819 10200127812 10379707527 10453322474 11414428742 12385869486 13839610036 14450181067 15679983711 16398193404 17121643113 19131225638 20759415054 20906644948 22828857484 23230773989 24771738972 28696838457 28900362134 31359967422 34243286226 35093296877 38262451276 39950500597 41518830108 43350543201 46461547978 57393676914 57800724268 62719934844 68486572452 69692321967 70186593754 79901001194 86701086402 92923095956 97022644307 105279890631 114787353828 119851501791 139384643934 140373187508 159802002388 162615417923 173402172804 194045288614 210559781262 239703003582 245653078139 278769287868 291067932921 325230835846 388090577228 421119562524 479406007164 487846253769 491306156278 582135865842 650461671692 679158510149 736959234417 975692507538 982612312556 1164271731684 1358317020298 1473918468834 1649384953219 1951385015076 2037475530447 2716634040596 2947836937668 3298769906438 4074951060894 4948154859657 6597539812876 8149902121788 9896309719314 11545694672533 19792619438628 23091389345066 34637084017599 46182778690132 69274168035198 138548336070396
- Sum of all divisors σ(n): 406660981870080
- Sum of proper divisors (its aliquot sum) s(n): 268112645799684
- 138548336070396 is an abundant number, because the sum of its proper divisors (268112645799684) is greater than itself. Its abundance is 129564309729288
Bases of 138548336070396
- Binary: 111111000000010010011000101101100001110111111002
- Hexadecimal: 0x7E024C5B0EFC
- Base-36: 1D4086318C
Squares and roots of 138548336070396
- 138548336070396 squared (1385483360703962) is 19195641427875393327067596816
- 138548336070396 cubed (1385483360703963) is 2659524179636096134767435487027948721459136
-
The
square root of 138548336070396 is 11770655.7196443393 -
The
cube root of 138548336070396 is 51744.8467188083
Scales and comparisons
How big is 138548336070396?- 138,548,336,070,396 seconds is equal to 4,405,408 years, 27 weeks, 3 days, 12 hours, 26 minutes, 36 seconds.
-
To count from 1 to 138,548,336,070,396 would take you about eleven million, thirteen thousand, five hundred twenty-one 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 138548336070396 cubic inches would be around 4312.1 feet tall.
Recreational maths with 138548336070396
- 138548336070396 backwards is 693070633845831
- The number of decimal digits it has is: 15
- The sum of 138548336070396's digits is 66
- More coming soon!
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