138673806346656
138,673,806,346,656 is an even composite number composed of five prime numbers multiplied together.
138673806346656 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 138673806346656:
25 × 36 × 72 × 292 × 144253
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 29 × 29 × 144253)See below for interesting mathematical facts about the number 138673806346656 from the Numbermatics database.
Names of 138673806346656
- Cardinal: 138673806346656 can be written as One hundred thirty-eight trillion, six hundred seventy-three billion, eight hundred six million, three hundred forty-six thousand, six hundred fifty-six.
Scientific notation
- Scientific notation: 1.38673806346656 × 1014
Factors of 138673806346656
Divisors of 138673806346656
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 32 36 42 48 49 54 56 58 63 72 81 84 87 96 98 108 112 116 126 144 147 162 168 174 189 196 203 216 224 232 243 252 261 288 294 324 336 348 378 392 406 432 441 464 486 504 522 567 588 609 648 672 696 729 756 783 784 812 841 864 882 928 972 1008 1044 1134 1176 1218 1296 1323 1392 1421 1458 1512 1566 1568 1624 1682 1701 1764 1827 1944 2016 2088 2268 2349 2352 2436 2523 2592 2646 2784 2842 2916 3024 3132 3248 3364 3402 3528 3654 3888 3969 4176 4263 4536 4698 4704 4872 5046 5103 5292 5481 5684 5832 5887 6048 6264 6496 6728 6804 7047 7056 7308 7569 7776 7938 8352 8526 9072 9396 9744 10092 10206 10584 10962 11368 11664 11774 11907 12528 12789 13456 13608 14094 14112 14616 15138 15876 16443 17052 17661 18144 18792 19488 20184 20412 21141 21168 21924 22707 22736 23328 23548 23814 25056 25578 26912 27216 28188 29232 30276 31752 32886 34104 35322 35721 37584 38367 40368 40824 41209 42282 42336 43848 45414 45472 47096 47628 49329 51156 52983 54432 56376 58464 60552 63504 65772 68121 68208 70644 71442 75168 76734 80736 81648 82418 84564 87696 90828 94192 95256 98658 102312 105966 112752 115101 121104 123627 127008 131544 136242 136416 141288 142884 144253 147987 153468 158949 163296 164836 169128 175392 181656 188384 190512 197316 204363 204624 211932 225504 230202 242208 247254 263088 272484 282576 285768 288506 295974 306936 317898 329672 338256 345303 363312 370881 381024 394632 408726 409248 423864 432759 460404 476847 494508 526176 544968 565152 571536 577012 591948 613089 613872 635796 659344 676512 690606 726624 741762 789264 817452 847728 865518 920808 953694 989016 1009771 1035909 1089936 1112643 1143072 1154024 1183896 1226178 1227744 1271592 1298277 1318688 1381212 1430541 1483524 1578528 1634904 1695456 1731036 1841616 1907388 1978032 2019542 2071818 2179872 2225286 2308048 2367792 2452356 2543184 2596554 2762424 2861082 2967048 3029313 3269808 3337929 3462072 3683232 3814776 3894831 3956064 4039084 4143636 4183337 4291623 4450572 4616096 4735584 4904712 5086368 5193108 5524848 5722164 5934096 6058626 6539616 6675858 6924144 7068397 7629552 7789662 8078168 8287272 8366674 8583246 8901144 9087939 9809424 10013787 10386216 11049696 11444328 11684493 11868192 12117252 12550011 13351716 13848288 14136794 15259104 15579324 16156336 16574544 16733348 17166492 17802288 18175878 19618848 20027574 20772432 21205191 22888656 23368986 24234504 25100022 26703432 27263817 28273588 29283359 30041361 31158648 32312672 33149088 33466696 34332984 35053479 35604576 36351756 37650033 40055148 41544864 42410382 45777312 46737972 48469008 50200044 53406864 54527634 56547176 58566718 60082722 62317296 63615573 66933392 68665968 70106958 72703512 75300066 80110296 81791451 84820764 87850077 93475944 96938016 100400088 105160437 106813728 109055268 112950099 113094352 117133436 120165444 121316773 124634592 127231146 133866784 137331936 140213916 145407024 150600132 160220592 163582902 169641528 175700154 186951888 190846719 200800176 204983513 210320874 218110536 225900198 226188704 234266872 240330888 242633546 245374353 254462292 263550231 280427832 290814048 301200264 320441184 327165804 338850297 339283056 351400308 363950319 373903776 381693438 401600352 409967026 420641748 436221072 451800396 468533744 480661776 485267092 490748706 508924584 527100462 560855664 572540157 602400528 614950539 654331608 677700594 678566112 702800616 727900638 736123059 763386876 790650693 819934052 841283496 849217411 872442144 903600792 937067488 961323552 970534184 981497412 1016550891 1017849168 1054200924 1091850957 1121711328 1145080314 1204801056 1229901078 1308663216 1355401188 1405601232 1455801276 1472246118 1526773752 1581301386 1639868104 1682566992 1698434822 1717620471 1807201584 1844851617 1941068368 1962994824 2033101782 2035698336 2108401848 2183701914 2290160628 2371952079 2459802156 2547652233 2617326432 2710802376 2811202464 2911602552 2944492236 3049652673 3053547504 3162602772 3275552871 3279736208 3365133984 3396869644 3435240942 3614403168 3689703234 3882136736 3925989648 4066203564 4216803696 4367403828 4580321256 4743904158 4919604312 5095304466 5152861413 5421604752 5534554851 5823205104 5888984472 5944521877 6099305346 6107095008 6325205544 6551105742 6559472416 6793739288 6870481884 7115856237 7379406468 7642956699 7851979296 8132407128 8433607392 8734807656 9160642512 9487808316 9826658613 9839208624 10190608932 10305722826 10843209504 11069109702 11646410208 11777968944 11889043754 12198610692 12650411088 13102211484 13587478576 13740963768 14231712474 14758812936 15285913398 16264814256 16603664553 17469615312 17833565631 18321285024 18975616632 19653317226 19678417248 20381217864 20611445652 21347568711 22138219404 22928870097 23555937888 23778087508 24397221384 25300822176 26204422968 27174957152 27481927536 28463424948 29479975839 29517625872 30571826796 32529628512 33207329106 34939230624 35667131262 37951233264 39306634452 40762435728 41222891304 42695137422 44276438808 45857740194 47556175016 48794442768 49810993659 52408845936 53500696893 54963855072 56926849896 58959951678 59035251744 61143653592 66414658212 68786610291 71334262524 75902466528 78613268904 81524871456 82445782608 85390274844 88439927517 88552877616 91715480388 95112350032 97588885536 99621987318 104817691872 107001393786 113853699792 117919903356 122287307184 132829316424 137573220582 142668525048 149432980977 157226537808 160502090679 164891565216 170780549688 176879855034 177105755232 183430960776 190224700064 199243974636 206359830873 214002787572 227707399584 235839806712 244574614368 265658632848 275146441164 285337050096 298865961954 314453075616 321004181358 341561099376 353759710068 366861921552 398487949272 412719661746 428005575144 471679613424 481506272037 531317265696 550292882328 570674100192 597731923908 619079492619 642008362716 683122198752 707519420136 733723843104 796975898544 825439323492 856011150288 943359226848 963012544074 1100585764656 1195463847816 1238158985238 1284016725432 1415038840272 1444518816111 1593951797088 1650878646984 1712022300576 1926025088148 2201171529312 2390927695632 2476317970476 2568033450864 2830077680544 2889037632222 3301757293968 3852050176296 4333556448333 4781855391264 4952635940952 5136066901728 5778075264444 6603514587936 7704100352592 8667112896666 9905271881904 11556150528888 15408200705184 17334225793332 19810543763808 23112301057776 34668451586664 46224602115552 69336903173328 138673806346656
- Sum of all divisors σ(n): 493152894576342
- Sum of proper divisors (its aliquot sum) s(n): 354479088229686
- 138673806346656 is an abundant number, because the sum of its proper divisors (354479088229686) is greater than itself. Its abundance is 215805281883030
Bases of 138673806346656
- Binary: 111111000011111100000101111011110001001101000002
- Hexadecimal: 0x7E1F82F789A0
- Base-36: 1D5LV7UI00
Squares and roots of 138673806346656
- 138673806346656 squared (1386738063466562) is 19230424566669849905642382336
- 138673806346656 cubed (1386738063466563) is 2666756172322350890447673522330656507068416
-
The
square root of 138673806346656 is 11775984.3047898123 -
The
cube root of 138673806346656 is 51760.4621627681
Scales and comparisons
How big is 138673806346656?- 138,673,806,346,656 seconds is equal to 4,409,398 years, 4 weeks, 6 days, 18 hours, 57 minutes, 36 seconds.
-
To count from 1 to 138,673,806,346,656 would take you about eleven million, twenty-three thousand, four hundred ninety-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 138673806346656 cubic inches would be around 4313.4 feet tall.
Recreational maths with 138673806346656
- 138673806346656 backwards is 656643608376831
- 138673806346656 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138673806346656's digits is 72
- More coming soon!
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The information we have on file for 138673806346656 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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