138346496640
138,346,496,640 is an even composite number composed of six prime numbers multiplied together.
138346496640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138346496640:
27 × 34 × 5 × 11 × 19 × 1132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 19 × 113 × 113)See below for interesting mathematical facts about the number 138346496640 from the Numbermatics database.
Names of 138346496640
- Cardinal: 138346496640 can be written as One hundred thirty-eight billion, three hundred forty-six million, four hundred ninety-six thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3834649664 × 1011
Factors of 138346496640
Divisors of 138346496640
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 27 30 32 33 36 38 40 44 45 48 54 55 57 60 64 66 72 76 80 81 88 90 95 96 99 108 110 113 114 120 128 132 135 144 152 160 162 165 171 176 180 190 192 198 209 216 220 226 228 240 264 270 285 288 297 304 320 324 330 339 342 352 360 380 384 396 405 418 432 440 452 456 480 495 513 528 540 565 570 576 594 608 627 640 648 660 678 684 704 720 760 792 810 836 855 864 880 891 904 912 960 990 1017 1026 1045 1056 1080 1130 1140 1152 1188 1216 1243 1254 1296 1320 1356 1368 1408 1440 1485 1520 1539 1584 1620 1672 1695 1710 1728 1760 1782 1808 1824 1881 1920 1980 2034 2052 2090 2112 2147 2160 2260 2280 2376 2432 2486 2508 2565 2592 2640 2712 2736 2880 2970 3040 3051 3078 3135 3168 3240 3344 3390 3420 3456 3520 3564 3616 3648 3729 3762 3960 4068 4104 4180 4224 4294 4320 4455 4520 4560 4752 4972 5016 5085 5130 5184 5280 5424 5472 5643 5760 5940 6080 6102 6156 6215 6270 6336 6441 6480 6688 6780 6840 7040 7128 7232 7296 7458 7524 7695 7920 8136 8208 8360 8588 8640 8910 9040 9120 9153 9405 9504 9944 10032 10170 10260 10368 10560 10735 10848 10944 11187 11286 11880 12160 12204 12312 12430 12540 12672 12769 12882 12960 13376 13560 13680 14256 14464 14916 15048 15255 15390 15840 16272 16416 16720 16929 17176 17280 17820 18080 18240 18306 18645 18810 19008 19323 19888 20064 20340 20520 21120 21470 21696 21888 22374 22572 23617 23760 24408 24624 24860 25080 25538 25764 25920 26752 27120 27360 28215 28512 29832 30096 30510 30780 31680 32205 32544 32832 33440 33561 33858 34352 35640 36160 36480 36612 37290 37620 38016 38307 38646 39776 40128 40680 41040 42940 43392 44748 45144 45765 47234 47520 48816 49248 49720 50160 51076 51528 51840 54240 54720 55935 56430 57024 57969 59664 60192 61020 61560 63360 63845 64410 65088 65664 66880 67122 67716 68704 70851 71280 72320 73224 74580 75240 76614 77292 79552 80256 81360 82080 84645 85880 89496 90288 91530 94468 95040 96615 97632 98496 99440 100320 100683 102152 103056 108480 109440 111870 112860 114048 114921 115938 118085 119328 120384 122040 123120 127690 128820 130176 133760 134244 135432 137408 140459 141702 142560 146448 149160 150480 153228 154584 159104 162720 164160 167805 169290 171760 173907 178992 180576 183060 188936 190080 191535 193230 195264 196992 198880 200640 201366 204304 206112 212553 216960 223740 225720 229842 231876 236170 238656 240768 242611 244080 246240 255380 257640 268488 270864 274816 280918 283404 285120 289845 292896 298320 300960 306456 309168 325440 328320 335610 338580 343520 344763 347814 354255 357984 361152 366120 377872 383070 386460 390528 397760 401280 402732 408608 412224 421377 425106 447480 451440 459684 463752 472340 477312 485222 488160 492480 503415 510760 515280 536976 541728 561836 566808 570240 574605 579690 585792 596640 601920 612912 618336 637659 650880 671220 677160 687040 689526 695628 702295 708510 715968 722304 727833 732240 755744 766140 772920 795520 805464 817216 824448 842754 850212 869535 894960 902880 919368 927504 944680 970444 976320 984960 1006830 1021520 1030560 1034289 1062765 1073952 1083456 1123672 1133616 1149210 1159380 1171584 1193280 1203840 1213055 1225824 1236672 1264131 1275318 1342440 1354320 1374080 1379052 1391256 1404590 1417020 1431936 1455666 1464480 1511488 1532280 1545840 1610928 1634432 1685508 1700424 1723815 1739070 1789920 1805760 1838736 1855008 1889360 1912977 1940888 1952640 2013660 2043040 2061120 2068578 2106885 2125530 2147904 2166912 2183499 2247344 2267232 2298420 2318760 2386560 2426110 2451648 2473344 2528262 2550636 2668721 2684880 2708640 2758104 2782512 2809180 2834040 2911332 2928960 3022976 3064560 3091680 3188295 3221856 3371016 3400848 3447630 3478140 3579840 3611520 3639165 3677472 3710016 3778720 3792393 3825954 3881776 4027320 4086080 4122240 4137156 4213770 4251060 4295808 4366998 4494688 4534464 4596840 4637520 4852220 4903296 5056524 5101272 5171445 5337442 5369760 5417280 5516208 5565024 5618360 5668080 5822664 5857920 6129120 6183360 6320655 6376590 6443712 6550497 6742032 6801696 6895260 6956280 7159680 7278330 7354944 7420032 7557440 7584786 7651908 7763552 8006163 8054640 8172160 8274312 8427540 8502120 8733996 8989376 9068928 9193680 9275040 9564885 9704440 10113048 10202544 10342890 10674884 10739520 10834560 10917495 11032416 11130048 11236720 11336160 11377179 11645328 12258240 12366720 12641310 12753180 12887424 13100994 13343605 13484064 13603392 13790520 13912560 14556660 14709888 15114880 15169572 15303816 15527104 16012326 16109280 16548624 16855080 17004240 17467992 17978752 18387360 18550080 18961965 19129770 19408880 19651491 20226096 20405088 20685780 21349768 21479040 21834990 22064832 22260096 22473440 22672320 22754358 23290656 24018489 24516480 25282620 25506360 26201988 26687210 26968128 27206784 27581040 27825120 29113320 30339144 30607632 31054208 32024652 32218560 32752485 33097248 33710160 34008480 34935984 36774720 37100160 37923930 38259540 38817760 39302982 40030815 40452192 40810176 41371560 42699536 43669980 44129664 44946880 45344640 45508716 46581312 48036978 50565240 51012720 52403976 53374420 53936256 55162080 55650240 56885895 58226640 60678288 61215264 64049304 64437120 65504970 66194496 67420320 68016960 69871968 72055467 73549440 75847860 76519080 77635520 78605964 80061630 80904384 81620352 82743120 85399072 87339960 89893760 91017432 93162624 96073956 98257455 101130480 102025440 104807952 106748840 110324160 111300480 113771790 116453280 120092445 121356576 122430528 128098608 131009940 132388992 134840640 136033920 139743936 144110934 151695720 153038160 155271040 157211928 160123260 161808768 165486240 170798144 174679920 182034864 192147912 196514910 202260960 204050880 209615904 213497680 216166401 220648320 227543580 232906560 240184890 242713152 244861056 256197216 262019880 269681280 279487872 288221868 303391440 306076320 314423856 320246520 330972480 341596288 349359840 360277335 364069728 384295824 393029820 404521920 408101760 419231808 426995360 432332802 455087160 465813120 480369780 485426304 512394432 524039760 576443736 606782880 612152640 628847712 640493040 661944960 698719680 720554670 728139456 768591648 786059640 809043840 838463616 853990720 864665604 910174320 960739560 1024788864 1048079520 1080832005 1152887472 1213565760 1224305280 1257695424 1280986080 1397439360 1441109340 1456278912 1537183296 1572119280 1707981440 1729331208 1820348640 1921479120 2096159040 2161664010 2305774944 2427131520 2515390848 2561972160 2882218680 3074366592 3144238560 3458662416 3640697280 3842958240 4192318080 4323328020 4611549888 5123944320 5764437360 6288477120 6917324832 7281394560 7685916480 8646656040 9223099776 11528874720 12576954240 13834649664 15371832960 17293312080 23057749440 27669299328 34586624160 46115498880 69173248320 138346496640
- Sum of all divisors σ(n): 572407149600
- Sum of proper divisors (its aliquot sum) s(n): 434060652960
- 138346496640 is an abundant number, because the sum of its proper divisors (434060652960) is greater than itself. Its abundance is 295714156320
Bases of 138346496640
- Binary: 100000001101100001100000000010100000002
- Hexadecimal: 0x2036180280
- Base-36: 1RJZXK00
Squares and roots of 138346496640
- 138346496640 squared (1383464966402) is 19139753132561531289600
- 138346496640 cubed (1383464966403) is 2647917792444353363149901266944000
-
The
square root of 138346496640 is 371949.5888423591 -
The
cube root of 138346496640 is 5171.9706933595
Scales and comparisons
How big is 138346496640?- 138,346,496,640 seconds is equal to 4,398 years, 51 weeks, 3 days, 14 hours, 24 minutes.
-
To count from 1 to 138,346,496,640 would take you about eight thousand, seven hundred ninety-seven 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 138346496640 cubic inches would be around 431 feet tall.
Recreational maths with 138346496640
- 138346496640 backwards is 046694643831
- 138346496640 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138346496640's digits is 54
- More coming soon!
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The information we have on file for 138346496640 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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