138106767744
138,106,767,744 is an even composite number composed of six prime numbers multiplied together.
138106767744 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138106767744:
27 × 35 × 11 × 29 × 31 × 449
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 29 × 31 × 449)See below for interesting mathematical facts about the number 138106767744 from the Numbermatics database.
Names of 138106767744
- Cardinal: 138106767744 can be written as One hundred thirty-eight billion, one hundred six million, seven hundred sixty-seven thousand, seven hundred forty-four.
Scientific notation
- Scientific notation: 1.38106767744 × 1011
Factors of 138106767744
Divisors of 138106767744
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 31 32 33 36 44 48 54 58 62 64 66 72 81 87 88 93 96 99 108 116 124 128 132 144 162 174 176 186 192 198 216 232 243 248 261 264 279 288 297 319 324 341 348 352 372 384 396 432 449 464 486 496 522 528 558 576 594 638 648 682 696 704 744 783 792 837 864 891 898 899 928 957 972 992 1023 1044 1056 1116 1152 1188 1276 1296 1347 1364 1392 1408 1488 1566 1584 1674 1728 1782 1796 1798 1856 1914 1944 1984 2046 2088 2112 2232 2349 2376 2511 2552 2592 2673 2694 2697 2728 2784 2871 2976 3069 3132 3168 3348 3456 3564 3592 3596 3712 3828 3888 3968 4041 4092 4176 4224 4464 4698 4752 4939 5022 5104 5184 5346 5388 5394 5456 5568 5742 5952 6138 6264 6336 6696 7047 7128 7184 7192 7533 7656 7776 8082 8091 8184 8352 8613 8928 9207 9396 9504 9878 9889 10044 10208 10368 10692 10776 10788 10912 11136 11484 11904 12123 12276 12528 12672 13021 13392 13919 14094 14256 14368 14384 14817 15066 15312 15552 16164 16182 16368 16704 17226 17856 18414 18792 19008 19756 19778 20088 20416 21384 21552 21576 21824 22968 24246 24273 24552 25056 25839 26042 26784 27621 27838 28188 28512 28736 28768 29634 29667 30132 30624 31104 32328 32364 32736 33408 34452 35712 36369 36828 37584 38016 39063 39512 39556 40176 40832 41757 42768 43104 43152 43648 44451 45936 48492 48546 49104 50112 51678 52084 53568 55242 55676 56376 57024 57472 57536 59268 59334 60264 61248 64656 64728 65472 68904 72738 72819 73656 75168 77517 78126 79024 79112 80352 82863 83514 85536 86208 86304 88902 89001 91872 96984 97092 98208 100224 103356 104168 107136 109107 110484 111352 112752 114048 115072 117189 118536 118668 120528 122496 125271 129312 129456 130944 133353 137808 143231 145476 145638 147312 150336 153109 155034 156252 158048 158224 160704 165726 167028 171072 172416 172608 177804 178002 183744 193968 194184 196416 206712 208336 218214 218457 220968 222704 225504 234378 237072 237336 241056 250542 258624 258912 266706 267003 275616 286462 290952 291276 294624 300672 306218 310068 312504 316096 316448 321408 331452 334056 342144 345216 351567 355608 356004 367488 375813 387936 388368 392832 400059 403651 413424 416672 429693 436428 436914 441936 445408 451008 459327 468756 474144 474672 482112 501084 517248 517824 533412 534006 551232 572924 581904 582552 589248 612436 620136 625008 632192 632896 662904 668112 703134 711216 712008 751626 775872 776736 800118 801009 807302 826848 833344 859386 872856 873828 883872 890816 902016 918654 937512 948288 949344 964224 1002168 1035648 1054701 1066824 1068012 1102464 1127439 1145848 1163808 1165104 1178496 1200177 1210953 1224872 1240272 1250016 1265792 1289079 1325808 1336224 1377981 1406268 1422432 1424016 1503252 1551744 1553472 1600236 1602018 1614604 1653696 1666688 1718772 1745712 1747656 1767744 1781632 1837308 1875024 1896576 1898688 2004336 2109402 2133648 2136024 2254878 2291696 2327616 2330208 2400354 2403027 2421906 2449744 2480544 2500032 2578158 2651616 2672448 2755962 2812536 2844864 2848032 3006504 3106944 3164103 3200472 3204036 3229208 3307392 3382317 3437544 3491424 3495312 3535488 3632859 3674616 3750048 3797376 3867237 4008672 4133943 4218804 4267296 4272048 4440161 4509756 4583392 4655232 4660416 4800708 4806054 4843812 4899488 4961088 5000064 5156316 5303232 5344896 5511924 5625072 5689728 5696064 6013008 6328206 6400944 6408072 6458416 6764634 6875088 6982848 6990624 7265718 7349232 7500096 7734474 8017344 8267886 8437608 8534592 8544096 8880322 9019512 9166784 9320832 9601416 9612108 9687624 9798976 9922176 10312632 10606464 10898577 11023848 11250144 11392128 11601711 12026016 12401829 12656412 12801888 12816144 12916832 13320483 13529268 13750176 13965696 13981248 14531436 14698464 15000192 15468948 16034688 16535772 16875216 17069184 17088192 17760644 18039024 18333568 19202832 19224216 19375248 19597952 20625264 21797154 22047696 22500288 23203422 24052032 24803658 25312824 25603776 25632288 25833664 26640966 27058536 27500352 27962496 29062872 29396928 30937896 32695731 33071544 33750432 34176384 34805133 35521288 36078048 37205487 38405664 38448432 38750496 39961449 41250528 43594308 44095392 45000576 46406844 48104064 49607316 50625648 51207552 51264576 51667328 53281932 54117072 55000704 58125744 58793856 61875792 65391462 66143088 67500864 69610266 71042576 72156096 74410974 76811328 76896864 77500992 79922898 82501056 87188616 88190784 92813688 98087193 99214632 101251296 102529152 106563864 108234144 116251488 119884347 123751584 130782924 132286176 135001728 139220532 142085152 144312192 148821948 153622656 153793728 155001984 159845796 165002112 174377232 176381568 185627376 196174386 198429264 202502592 213127728 216468288 232502976 239768694 247503168 261565848 264572352 278441064 284170304 297643896 307587456 319691592 348754464 359653041 371254752 392348772 396858528 405005184 426255456 432936576 465005952 479537388 495006336 523131696 529144704 556882128 568340608 595287792 639383184 697508928 719306082 742509504 784697544 793717056 852510912 959074776 1046263392 1078959123 1113764256 1190575584 1278766368 1395017856 1438612164 1485019008 1569395088 1587434112 1705021824 1918149552 2092526784 2157918246 2227528512 2381151168 2557532736 2877224328 3138790176 3836299104 4185053568 4315836492 4455057024 4762302336 5115065472 5754448656 6277580352 7672598208 8631672984 11508897312 12555160704 15345196416 17263345968 23017794624 34526691936 46035589248 69053383872 138106767744
- Sum of all divisors σ(n): 481178880000
- Sum of proper divisors (its aliquot sum) s(n): 343072112256
- 138106767744 is an abundant number, because the sum of its proper divisors (343072112256) is greater than itself. Its abundance is 204965344512
Bases of 138106767744
- Binary: 100000001001111100111000001001100000002
- Hexadecimal: 0x2027CE0980
- Base-36: 1RG17C00
Squares and roots of 138106767744
- 138106767744 squared (1381067677442) is 19073479296695158849536
- 138106767744 cubed (1381067677443) is 2634176575298670770002054594166784
-
The
square root of 138106767744 is 371627.1891883047 -
The
cube root of 138106767744 is 5168.9816099097
Scales and comparisons
How big is 138106767744?- 138,106,767,744 seconds is equal to 4,391 years, 19 weeks, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,106,767,744 would take you about eight thousand, seven hundred eighty-two 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 138106767744 cubic inches would be around 430.7 feet tall.
Recreational maths with 138106767744
- 138106767744 backwards is 447767601831
- 138106767744 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138106767744's digits is 54
- More coming soon!
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The information we have on file for 138106767744 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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