138348585873792
138,348,585,873,792 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138348585873792 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
138348585873792 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138348585873792:
27 × 32 × 7 × 312 × 53 × 181 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 31 × 31 × 53 × 181 × 1861)See below for interesting mathematical facts about the number 138348585873792 from the Numbermatics database.
Names of 138348585873792
- Cardinal: 138348585873792 can be written as One hundred thirty-eight trillion, three hundred forty-eight billion, five hundred eighty-five million, eight hundred seventy-three thousand, seven hundred ninety-two.
Scientific notation
- Scientific notation: 1.38348585873792 × 1014
Factors of 138348585873792
Divisors of 138348585873792
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 53 56 62 63 64 72 84 93 96 106 112 124 126 128 144 159 168 181 186 192 212 217 224 248 252 279 288 318 336 362 371 372 384 424 434 448 477 496 504 543 558 576 636 651 672 724 742 744 848 868 896 954 961 992 1008 1086 1113 1116 1152 1267 1272 1302 1344 1448 1484 1488 1629 1643 1696 1736 1861 1908 1922 1953 1984 2016 2172 2226 2232 2534 2544 2604 2688 2883 2896 2968 2976 3258 3286 3339 3392 3472 3722 3801 3816 3844 3906 3968 4032 4344 4452 4464 4929 5068 5088 5208 5583 5611 5766 5792 5936 5952 6516 6572 6678 6727 6784 6944 7444 7602 7632 7688 7812 8064 8649 8688 8904 8928 9593 9858 10136 10176 10416 11166 11222 11403 11501 11532 11584 11872 11904 13027 13032 13144 13356 13454 13888 14787 14888 15204 15264 15376 15624 16749 16833 17298 17376 17808 17856 19186 19716 20181 20272 20352 20832 22332 22444 22806 23002 23064 23168 23744 26054 26064 26288 26712 26908 27776 28779 29574 29776 30408 30528 30752 31248 33498 33666 34503 34596 34752 35616 35712 38372 39081 39277 39432 40362 40544 41664 44664 44888 45612 46004 46128 47488 50499 50933 52108 52128 52576 53424 53816 57558 57691 59148 59552 60543 60816 61056 61504 62496 66996 67151 67332 69006 69192 69504 71232 76744 78162 78554 78864 80724 81088 83328 86337 89328 89776 91224 92008 92256 98633 100998 101866 103509 104216 104256 105152 106848 107632 115116 115382 117243 117831 118296 119104 121086 121632 123008 124992 133992 134302 134664 138012 138384 142464 152799 153488 156324 157108 157728 161448 162176 172674 173073 173941 178656 179552 182448 184016 184512 197266 201453 201996 203732 207018 208432 208512 210304 213696 215264 230232 230764 234486 235662 236592 238208 242172 243264 249984 267984 268604 269328 276024 276768 295899 297383 305598 306976 312648 314216 315456 322896 336841 345348 346146 347882 353493 356531 357312 359104 364896 368032 369024 394532 402906 403837 403992 407464 414036 416864 427392 430528 458397 460464 461528 468972 471324 473184 484344 486528 519219 521823 535968 537208 538656 552048 553536 591798 594766 604359 611196 613952 625296 628432 630912 645792 673682 690431 690696 692292 695764 706986 713062 714624 718208 729792 736064 789064 805812 807674 807984 814928 828072 833728 861056 887697 892149 916794 920928 923056 937944 942648 946368 968688 1010523 1038438 1043646 1069593 1071936 1074416 1077312 1104096 1107072 1183596 1189532 1208718 1211511 1217587 1222392 1227904 1250592 1256864 1291584 1347364 1380862 1381392 1384584 1391528 1413972 1426124 1459584 1472128 1565469 1578128 1611624 1615348 1615968 1629856 1656144 1667456 1775394 1784298 1788421 1833588 1841856 1846112 1875888 1885296 1892736 1937376 2021046 2071293 2076876 2081681 2087292 2139186 2143872 2148832 2154624 2208192 2357887 2367192 2379064 2417436 2423022 2435174 2444784 2501184 2513728 2583168 2676447 2694728 2761724 2762784 2769168 2783056 2827944 2852248 3031569 3057623 3130938 3156256 3208779 3223248 3230696 3231936 3259712 3312288 3550788 3568596 3576842 3634533 3652761 3667176 3683712 3692224 3751776 3770592 3874752 4042092 4142586 4153752 4163362 4174584 4278372 4297664 4416384 4715774 4734384 4758128 4834872 4846044 4870348 4889568 5002368 5027456 5352894 5365263 5389456 5523448 5525568 5538336 5566112 5655888 5704496 6063138 6115246 6213879 6245043 6261876 6312512 6417558 6446496 6461392 6463872 6519424 6624576 7073661 7101576 7137192 7153684 7269066 7305522 7334352 7384448 7503552 7541184 7749504 8084184 8285172 8307504 8326724 8349168 8556744 8595328 9172869 9218873 9431548 9468768 9516256 9669744 9692088 9740696 9779136 10442071 10705788 10730526 10778912 10958283 11046896 11051136 11076672 11132224 11311776 11408992 12126276 12230492 12427758 12490086 12518947 12523752 12625024 12835116 12892992 12922784 13249152 14147322 14203152 14274384 14307368 14538132 14611044 14668704 15007104 15082368 16095789 16168368 16570344 16615008 16653448 16698336 17113488 17852573 18345738 18437746 18735129 18863096 18937536 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2285129344 2323155996 2339023904 2398096512 2403637824 2570770512 2589633608 2631401892 2654016764 2655035424 2716285824 2739630208 2913337809 2999232264 3007316448 3033162016 3082083984 3097541328 3320578578 3412307268 3427694016 3508535856 3522381696 3540047232 3605456736 3874008341 3884450412 3981025146 3998976352 4009755264 4109445312 4130055104 4427438104 4498848396 4531858814 4549743024 4646311992 4678047808 4807275648 4980867867 5141541024 5179267216 5262803784 5308033528 5310070848 5826675618 5971537719 5998464528 6014632896 6066324032 6164167968 6195082656 6641157156 6797788221 6824614536 6855388032 7017071712 7210913472 7748016682 7768900824 7962050292 7997952704 8218890624 8260110208 8854876208 8997696792 9063717628 9099486048 9292623984 9356095616 9961735734 10283082048 10358534432 10525607568 10616067056 10620141696 11622025023 11653351236 11943075438 11996929056 12029265792 12132648064 12328335936 12390165312 13282314312 13595576442 13649229072 14034143424 14421826944 15496033364 15537801648 15924100584 15995905408 17156322653 17709752416 17995393584 18127435256 18198972096 18585247968 19923471468 20393364663 20566164096 20717068864 21051215136 21232134112 23244050046 23306702472 23886150876 23993858112 24656671872 24780330624 26564628624 27191152884 27298458144 28068286848 30992066728 31075603296 31848201168 34312645306 34866075069 35419504832 35990787168 36254870512 36397944192 37170495936 39846942936 40786729326 41434137728 42102430272 42464268224 46488100092 46613404944 47772301752 47987716224 51468967959 53129257248 54382305768 54596916288 61984133456 62151206592 63696402336 68625290612 69732150138 70839009664 71981574336 72509741024 74340991872 79693885872 81573458652 84204860544 84928536448 92976200184 93226809888 95544603504 102937935918 106258514496 108764611536 109193832576 120094258571 123968266912 124302413184 127392804672 137250581224 139464300276 143963148672 145019482048 154406903877 159387771744 163146917304 185952400368 186453619776 191089207008 205875871836 212517028992 217529223072 240188517142 247936533824 254785609344 274501162448 278928600552 290038964096 308813807754 318775543488 326293834608 360282775713 371904800736 372907239552 382178414016 411751743672 435058446144 480377034284 495873067648 549002324896 557857201104 617627615508 637551086976 652587669216 720565551426 743809601472 764356828032 823503487344 870116892288 960754068568 1080848327139 1098004649792 1115714402208 1235255231016 1305175338432 1441131102852 1487619202944 1647006974688 1921508137136 2161696654278 2196009299584 2231428804416 2470510462032 2610350676864 2882262205704 3294013949376 3843016274272 4323393308556 4462857608832 4941020924064 5764524411408 6588027898752 7686032548544 8646786617112 9882041848128 11529048822816 15372065097088 17293573234224 19764083696256 23058097645632 34587146468448 46116195291264 69174292936896 138348585873792
- Sum of all divisors σ(n): 481911835728960
- Sum of proper divisors (its aliquot sum) s(n): 343563249855168
- 138348585873792 is an abundant number, because the sum of its proper divisors (343563249855168) is greater than itself. Its abundance is 205214663981376
Bases of 138348585873792
- Binary: 111110111010011110010100101000011110001100000002
- Hexadecimal: 0x7DD3CA50F180
- Base-36: 1D1GGNZ340
Squares and roots of 138348585873792
- 138348585873792 squared (1383485858737922) is 19140331213277999332152459264
- 138348585873792 cubed (1383485858737923) is 2648037756513012710746847335884703125209088
-
The
square root of 138348585873792 is 11762167.5669832217 -
The
cube root of 138348585873792 is 51719.9672799429
Scales and comparisons
How big is 138348585873792?- 138,348,585,873,792 seconds is equal to 4,399,057 years, 4 weeks, 4 days, 22 hours, 43 minutes, 12 seconds.
-
To count from 1 to 138,348,585,873,792 would take you about ten million, nine hundred ninety-seven thousand, six hundred forty-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 138348585873792 cubic inches would be around 4310 feet tall.
Recreational maths with 138348585873792
- 138348585873792 backwards is 297378585843831
- The number of decimal digits it has is: 15
- The sum of 138348585873792's digits is 81
- More coming soon!
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The information we have on file for 138348585873792 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!
Keywords: Divisors of 138348585873792, math, Factors of 138348585873792, curriculum, school, college, exams, university, Prime factorization of 138348585873792, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred forty-eight billion, five hundred eighty-five million, eight hundred seventy-three thousand, seven hundred ninety-two.