138275734446304
138,275,734,446,304 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138275734446304 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
138275734446304 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 138275734446304:
25 × 7 × 13 × 19 × 31 × 151 × 331 × 1613
(2 × 2 × 2 × 2 × 2 × 7 × 13 × 19 × 31 × 151 × 331 × 1613)See below for interesting mathematical facts about the number 138275734446304 from the Numbermatics database.
Names of 138275734446304
- Cardinal: 138275734446304 can be written as One hundred thirty-eight trillion, two hundred seventy-five billion, seven hundred thirty-four million, four hundred forty-six thousand, three hundred four.
Scientific notation
- Scientific notation: 1.38275734446304 × 1014
Factors of 138275734446304
Divisors of 138275734446304
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 31 32 38 52 56 62 76 91 104 112 124 133 151 152 182 208 217 224 247 248 266 302 304 331 364 403 416 434 494 496 532 589 604 608 662 728 806 868 988 992 1057 1064 1178 1208 1324 1456 1612 1613 1729 1736 1963 1976 2114 2128 2317 2356 2416 2648 2821 2869 2912 3224 3226 3458 3472 3926 3952 4123 4228 4256 4303 4634 4681 4712 4832 5296 5642 5738 6289 6448 6452 6916 6944 7657 7852 7904 8246 8456 8606 9268 9362 9424 10261 10592 11284 11291 11476 12578 12896 12904 13741 13832 15314 15704 16492 16912 17212 18536 18724 18848 20083 20522 20969 22568 22582 22952 25156 25808 27482 27664 30121 30628 30647 31408 32767 32984 33824 34424 37072 37297 37448 40166 41044 41938 44023 45136 45164 45904 49981 50003 50312 51616 53599 54964 55328 60242 60853 61256 61294 62816 65534 65968 68848 71827 74144 74594 74896 80332 81757 82088 83876 88046 88939 90272 90328 91808 99962 100006 100624 107198 109928 120484 121706 122512 122588 131068 131936 133393 137696 143654 146783 149188 149792 160664 163514 164176 167752 176092 177878 180656 194959 199924 200012 201248 214396 214529 219856 240968 243412 243563 245024 245176 261079 262136 266786 287308 293566 298376 321328 327028 328352 335504 349867 350021 352184 355756 361312 389918 398411 399848 400024 425971 428792 429058 439712 481936 486824 487126 490352 522158 524272 533572 533903 572299 574616 587132 596752 622573 642656 649753 650039 654056 671008 699734 700042 704368 711512 779836 796822 799696 800048 851942 857584 858116 933751 949639 950057 963872 973648 974252 980704 1044316 1048544 1067144 1067806 1144598 1149232 1156207 1174264 1193504 1245146 1299506 1300078 1308112 1364713 1399468 1400084 1408736 1423024 1549411 1559672 1593644 1599392 1600096 1703884 1704941 1715168 1716232 1867502 1899278 1900114 1947296 1948504 2088632 2134288 2135612 2289196 2298464 2312414 2348528 2490292 2534467 2599012 2600156 2616224 2729426 2788877 2798936 2800168 2846048 3098822 3119344 3166319 3187288 3407768 3409882 3432464 3735004 3737321 3798556 3800228 3897008 4177264 4268576 4271224 4548271 4550273 4578392 4624828 4627697 4697056 4980584 5068934 5198024 5200312 5458852 5577754 5597872 5600336 6197644 6238688 6332638 6374576 6647473 6650399 6815536 6819764 6864928 6940739 7470008 7474642 7550453 7597112 7600456 7794016 8093449 8354528 8542448 9096542 9100546 9156784 9249656 9255394 9961168 10137868 10144157 10396048 10400624 10845877 10917704 11155508 11195744 11200672 12345307 12350741 12395288 12665276 12749152 13294946 13300798 13631072 13639528 13881478 14940016 14949284 15100906 15194224 15200912 16186898 16550993 17084896 17741269 18193084 18201092 18313568 18499312 18510788 19922336 20142343 20275736 20288314 20792096 20801248 21691754 21835408 22164233 22311016 24690614 24701482 24790576 25330552 26589892 26601596 27279056 27762956 29438809 29880032 29898568 30201812 30388448 30401824 32373796 32393879 33101986 35482538 36386168 36402184 36998624 37021576 40284686 40551472 40576628 43383508 43670816 44328466 44622032 48585173 49381228 49402964 49581152 50661104 52853171 53179784 53203192 54558112 55525912 58877618 59797136 60160061 60403624 64747592 64787758 66203972 70965076 71009099 72772336 72804368 74043152 80569372 80619353 81102944 81153256 86417149 86455187 86767016 88656932 89244064 97170346 98155889 98762456 98805928 101322208 105706342 106359568 106406384 111051824 115856951 117755236 119594272 120320122 120807248 129495184 129575516 131874041 132407944 140996401 141930152 142018198 143458607 145544672 145608736 148086304 161138744 161238706 162306512 172834298 172910374 173534032 177313864 194340692 196311778 197524912 197611856 206071663 211412684 212719136 212812768 215162909 222103648 231713902 235510472 240640244 241614496 258990368 259151032 263748082 264815888 281992802 283860304 284036396 286917214 314468867 322277488 322477412 324613024 345668596 345820748 347068064 354627728 382704517 388681384 392623556 395049824 395223712 412143326 421120427 422825368 430325818 463427804 471020944 481280488 518302064 527496164 529631776 563985604 564335471 567720608 568072792 573834428 628937734 644554976 644954824 687091223 691337192 691641496 709255456 765409034 777362768 785247112 824286652 842240854 845650736 860651636 923118287 926855608 942041888 962560976 1004210249 1036604128 1048051589 1054992328 1127971208 1128670942 1136145584 1147668856 1257875468 1289909648 1374182446 1382674384 1383282992 1506140363 1530818068 1531767707 1554725536 1570494224 1648573304 1684481708 1691301472 1721303272 1846236574 1853711216 1864961891 1925121952 2008420498 2096103178 2109984656 2201282069 2255942416 2257341884 2272291168 2295337712 2499199943 2515750936 2579819296 2678931619 2748364892 2765348768 2766565984 3012280726 3061636136 3063535414 3140988448 3297146608 3368963416 3442606544 3692473148 3707422432 3729923782 4016840996 4088095271 4192206356 4219969312 4402564138 4511884832 4514683768 4590675424 4998399886 5031501872 5357863238 5496729784 6024561452 6123272272 6127070828 6594293216 6737926832 6885213088 7336361123 7384946296 7459847564 8033681992 8176190542 8384412712 8805128276 9029367536 9996799772 10063003744 10715726476 10722373949 10993459568 12049122904 12246544544 12254141656 13054733237 13475853664 14672722246 14769892592 14919695128 16067363984 16352381084 16768825424 17494399601 17610256552 18058735072 19912980191 19993599544 21431452952 21444747898 21986919136 24098245808 24508283312 26109466474 28616666897 29345444492 29539785184 29839390256 32134727968 32489599259 32704762168 33537650848 34988799202 35220513104 39825960382 39987199088 42862905904 42889495796 47484798917 48196491616 49016566624 52218932948 57233333794 58690888984 59678780512 64979198518 65409524336 69977598404 70441026208 79651920764 79974398176 85725811808 85778991592 94969597834 104437865896 114466667588 117381777968 129958397036 130819048672 139390861337 139955196808 159303841528 171557983184 189939195668 208875731792 227427194813 228933335176 234763555936 259916794072 278781722674 279910393616 318607683056 332393592419 343115966368 379878391336 417751463584 454854389626 457866670352 519833588144 557563445348 559820787232 617302385921 637215366112 664787184838 759756782672 909708779252 915733340704 1039667176288 1115126890696 1234604771842 1329574369676 1519513565344 1819417558504 2230253781392 2469209543684 2659148739352 3638835117008 4321116701447 4460507562784 4938419087368 5318297478704 7277670234016 8642233402894 9876838174736 10636594957408 17284466805788 19753676349472 34568933611576 69137867223152 138275734446304
- Sum of all divisors σ(n): 367810182512640
- Sum of proper divisors (its aliquot sum) s(n): 229534448066336
- 138275734446304 is an abundant number, because the sum of its proper divisors (229534448066336) is greater than itself. Its abundance is 91258713620032
Bases of 138275734446304
- Binary: 111110111000010110101000000100001100000111000002
- Hexadecimal: 0x7DC2D40860E0
- Base-36: 1D0IZU45WG
Squares and roots of 138275734446304
- 138275734446304 squared (1382757344463042) is 19120178736664782573459260416
- 138275734446304 cubed (1382757344463043) is 2643856757556927773183927274784707104702464
-
The
square root of 138275734446304 is 11759070.3053559469 -
The
cube root of 138275734446304 is 51710.8874738469
Scales and comparisons
How big is 138275734446304?- 138,275,734,446,304 seconds is equal to 4,396,740 years, 33 weeks, 2 days, 3 hours, 5 minutes, 4 seconds.
-
To count from 1 to 138,275,734,446,304 would take you about ten million, nine hundred ninety-one thousand, eight hundred fifty-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 138275734446304 cubic inches would be around 4309.2 feet tall.
Recreational maths with 138275734446304
- 138275734446304 backwards is 403644437572831
- The number of decimal digits it has is: 15
- The sum of 138275734446304's digits is 61
- More coming soon!
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The information we have on file for 138275734446304 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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