138145512960
138,145,512,960 is an even composite number composed of six prime numbers multiplied together.
138145512960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred divisors.
Prime factorization of 138145512960:
29 × 34 × 5 × 7 × 13 × 7321
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 7321)See below for interesting mathematical facts about the number 138145512960 from the Numbermatics database.
Names of 138145512960
- Cardinal: 138145512960 can be written as One hundred thirty-eight billion, one hundred forty-five million, five hundred twelve thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3814551296 × 1011
Factors of 138145512960
Divisors of 138145512960
- Number of divisors d(n): 800
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 63 64 65 70 72 78 80 81 84 90 91 96 104 105 108 112 117 120 126 128 130 135 140 144 156 160 162 168 180 182 189 192 195 208 210 216 224 234 240 252 256 260 270 273 280 288 312 315 320 324 336 351 360 364 378 384 390 405 416 420 432 448 455 468 480 504 512 520 540 546 560 567 576 585 624 630 640 648 672 702 720 728 756 768 780 810 819 832 840 864 896 910 936 945 960 1008 1040 1053 1080 1092 1120 1134 1152 1170 1248 1260 1280 1296 1344 1365 1404 1440 1456 1512 1536 1560 1620 1638 1664 1680 1728 1755 1792 1820 1872 1890 1920 2016 2080 2106 2160 2184 2240 2268 2304 2340 2457 2496 2520 2560 2592 2688 2730 2808 2835 2880 2912 3024 3120 3240 3276 3328 3360 3456 3510 3584 3640 3744 3780 3840 4032 4095 4160 4212 4320 4368 4480 4536 4608 4680 4914 4992 5040 5184 5265 5376 5460 5616 5670 5760 5824 6048 6240 6480 6552 6656 6720 6912 7020 7280 7321 7371 7488 7560 7680 8064 8190 8320 8424 8640 8736 8960 9072 9360 9828 9984 10080 10368 10530 10752 10920 11232 11340 11520 11648 12096 12285 12480 12960 13104 13440 13824 14040 14560 14642 14742 14976 15120 16128 16380 16640 16848 17280 17472 17920 18144 18720 19656 19968 20160 20736 21060 21840 21963 22464 22680 23040 23296 24192 24570 24960 25920 26208 26880 28080 29120 29284 29484 29952 30240 32256 32760 33280 33696 34560 34944 36288 36605 36855 37440 39312 40320 41472 42120 43680 43926 44928 45360 46592 48384 49140 49920 51247 51840 52416 53760 56160 58240 58568 58968 59904 60480 65520 65889 67392 69120 69888 72576 73210 73710 74880 78624 80640 84240 87360 87852 89856 90720 95173 96768 98280 99840 102494 103680 104832 109815 112320 116480 117136 117936 120960 131040 131778 134784 139776 145152 146420 147420 149760 153741 157248 161280 168480 174720 175704 179712 181440 190346 196560 197667 204988 207360 209664 219630 224640 232960 234272 235872 241920 256235 262080 263556 269568 285519 290304 292840 294840 299520 307482 314496 329445 336960 349440 351408 362880 380692 393120 395334 409976 419328 439260 449280 461223 468544 471744 475865 483840 512470 524160 527112 539136 571038 585680 589680 593001 614964 628992 658890 666211 673920 698880 702816 725760 761384 768705 786240 790668 819952 856557 878520 898560 922446 937088 943488 951730 988335 1024940 1048320 1054224 1142076 1171360 1179360 1186002 1229928 1257984 1317780 1332422 1347840 1383669 1405632 1427595 1451520 1522768 1537410 1572480 1581336 1639904 1713114 1757040 1844892 1874176 1886976 1903460 1976670 1998633 2049880 2096640 2108448 2284152 2306115 2342720 2358720 2372004 2459856 2569671 2635560 2664844 2695680 2767338 2811264 2855190 2965005 3045536 3074820 3144960 3162672 3279808 3331055 3426228 3514080 3689784 3748352 3773952 3806920 3953340 3997266 4099760 4151007 4216896 4282785 4568304 4612230 4685440 4717440 4744008 4919712 5139342 5271120 5329688 5534676 5622528 5710380 5930010 5995899 6091072 6149640 6289920 6325344 6559616 6662110 6852456 6918345 7028160 7379568 7613840 7709013 7906680 7994532 8199520 8302014 8433792 8565570 9136608 9224460 9370880 9434880 9488016 9839424 9993165 10278684 10542240 10659376 11069352 11245056 11420760 11860020 11991798 12182144 12299280 12650688 12848355 13119232 13324220 13704912 13836690 14056320 14759136 15227680 15418026 15813360 15989064 16399040 16604028 16867584 17131140 17987697 18273216 18448920 18741760 18869760 18976032 19678848 19986330 20557368 20755035 21084480 21318752 22138704 22841520 23720040 23983596 24364288 24598560 25301376 25696710 26238464 26648440 27409824 27673380 28112640 29518272 29979495 30455360 30836052 31626720 31978128 32798080 33208056 33735168 34262280 35975394 36546432 36897840 37952064 38545065 39357696 39972660 41114736 41510070 42168960 42637504 44277408 45683040 47440080 47967192 48728576 49197120 50602752 51393420 53296880 53963091 54819648 55346760 56225280 59036544 59958990 60910720 61672104 63253440 63956256 65596160 66416112 68524560 71950788 73092864 73795680 75904128 77090130 78715392 79945320 82229472 83020140 84337920 85275008 88554816 89938485 91366080 94880160 95934384 98394240 101205504 102786840 106593760 107926182 109639296 110693520 118073088 119917980 121821440 123344208 126506880 127912512 131192320 132832224 137049120 143901576 146185728 147591360 151808256 154180260 159890640 164458944 166040280 168675840 170550016 177109632 179876970 182732160 189760320 191868768 196788480 205573680 213187520 215852364 219278592 221387040 236146176 239835960 243642880 246688416 253013760 255825024 265664448 269815455 274098240 287803152 295182720 303616512 308360520 319781280 328917888 332080560 341100032 354219264 359753940 365464320 379520640 383737536 393576960 411147360 426375040 431704728 438557184 442774080 479671920 493376832 506027520 511650048 531328896 539630910 548196480 575606304 590365440 616721040 639562560 657835776 664161120 708438528 719507880 730928640 759041280 767475072 822294720 852750080 863409456 885548160 959343840 986753664 1023300096 1062657792 1079261820 1096392960 1151212608 1180730880 1233442080 1279125120 1315671552 1328322240 1439015760 1518082560 1534950144 1644589440 1705500160 1726818912 1771096320 1918687680 1973507328 2125315584 2158523640 2192785920 2302425216 2466884160 2558250240 2656644480 2878031520 3069900288 3289178880 3453637824 3542192640 3837375360 3947014656 4317047280 4604850432 4933768320 5116500480 5313288960 5756063040 6578357760 6907275648 7674750720 8634094560 9209700864 9867536640 10626577920 11512126080 13814551296 15349501440 17268189120 19735073280 23024252160 27629102592 34536378240 46048504320 69072756480 138145512960
- Sum of all divisors σ(n): 609059892672
- Sum of proper divisors (its aliquot sum) s(n): 470914379712
- 138145512960 is an abundant number, because the sum of its proper divisors (470914379712) is greater than itself. Its abundance is 332768866752
Bases of 138145512960
- Binary: 100000001010100001110100111110000000002
- Hexadecimal: 0x202A1D3E00
- Base-36: 1RGO9S00
Squares and roots of 138145512960
- 138145512960 squared (1381455129602) is 19084182750981527961600
- 138145512960 cubed (1381455129603) is 2636394215556727123739815182336000
-
The
square root of 138145512960 is 371679.3146786623 -
The
cube root of 138145512960 is 5169.4649426883
Scales and comparisons
How big is 138145512960?- 138,145,512,960 seconds is equal to 4,392 years, 31 weeks, 1 day, 9 hours, 36 minutes.
-
To count from 1 to 138,145,512,960 would take you about eight thousand, seven hundred eighty-five 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 138145512960 cubic inches would be around 430.8 feet tall.
Recreational maths with 138145512960
- 138145512960 backwards is 069215541831
- 138145512960 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138145512960's digits is 45
- More coming soon!
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The information we have on file for 138145512960 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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