138423225024
138,423,225,024 is an even composite number composed of seven prime numbers multiplied together.
138423225024 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138423225024:
26 × 34 × 72 × 19 × 23 × 29 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 19 × 23 × 29 × 43)See below for interesting mathematical facts about the number 138423225024 from the Numbermatics database.
Names of 138423225024
- Cardinal: 138423225024 can be written as One hundred thirty-eight billion, four hundred twenty-three million, two hundred twenty-five thousand and twenty-four.
Scientific notation
- Scientific notation: 1.38423225024 × 1011
Factors of 138423225024
Divisors of 138423225024
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 23 24 27 28 29 32 36 38 42 43 46 48 49 54 56 57 58 63 64 69 72 76 81 84 86 87 92 96 98 108 112 114 116 126 129 133 138 144 147 152 161 162 168 171 172 174 184 189 192 196 203 207 216 224 228 232 252 258 261 266 276 288 294 301 304 322 324 336 342 344 348 368 378 387 392 399 406 414 432 437 441 448 456 464 483 504 513 516 522 532 551 552 567 576 588 602 608 609 621 644 648 667 672 684 688 696 736 756 774 783 784 798 812 817 828 864 874 882 903 912 928 931 966 989 1008 1026 1032 1044 1064 1102 1104 1127 1134 1161 1176 1197 1204 1216 1218 1242 1247 1288 1296 1311 1323 1334 1344 1368 1376 1392 1421 1449 1472 1512 1539 1548 1566 1568 1596 1624 1634 1653 1656 1728 1748 1764 1806 1824 1827 1856 1862 1863 1932 1978 2001 2016 2052 2064 2088 2107 2128 2204 2208 2254 2268 2322 2349 2352 2394 2408 2436 2451 2484 2494 2576 2592 2622 2646 2668 2709 2736 2752 2784 2793 2842 2898 2967 3024 3059 3078 3096 3132 3136 3192 3248 3268 3306 3312 3381 3483 3496 3528 3591 3612 3648 3654 3724 3726 3741 3857 3864 3933 3956 3969 4002 4032 4104 4128 4176 4214 4256 4263 4347 4408 4416 4508 4536 4644 4669 4698 4704 4788 4816 4872 4902 4959 4968 4988 5152 5184 5244 5292 5336 5418 5472 5481 5568 5586 5684 5719 5796 5934 6003 6048 6118 6156 6192 6264 6321 6384 6496 6536 6612 6624 6762 6923 6966 6992 7056 7182 7224 7308 7353 7448 7452 7482 7714 7728 7866 7912 7938 8004 8127 8208 8256 8352 8379 8428 8512 8526 8694 8729 8816 8901 9016 9072 9177 9288 9338 9396 9408 9576 9632 9744 9804 9918 9936 9976 10143 10304 10488 10584 10672 10773 10836 10944 10962 11172 11223 11368 11438 11571 11592 11799 11868 12006 12096 12236 12312 12384 12528 12642 12673 12768 12789 12992 13041 13072 13224 13248 13524 13846 13932 13984 14007 14112 14364 14448 14616 14706 14877 14896 14904 14964 15428 15456 15732 15824 15876 16008 16254 16416 16443 16704 16758 16856 17052 17157 17388 17458 17632 17802 18009 18032 18144 18354 18576 18676 18791 18792 18963 19152 19264 19488 19608 19836 19872 19952 20286 20769 20976 21168 21344 21413 21546 21672 21924 22059 22344 22446 22736 22876 23142 23184 23598 23693 23736 24012 24381 24472 24624 24768 25056 25137 25284 25346 25536 25578 26082 26144 26187 26448 26703 26999 27048 27531 27692 27864 27968 28014 28224 28681 28728 28896 29232 29412 29754 29792 29808 29928 30429 30856 30912 31464 31648 31752 32016 32508 32683 32832 32886 33516 33669 33712 34104 34314 34713 34776 34916 35264 35397 35604 36018 36064 36288 36708 37152 37352 37582 37584 37926 38019 38304 38367 38976 39216 39672 39744 39904 40033 40572 41538 41952 42021 42336 42688 42826 43092 43344 43848 44118 44631 44688 44892 45472 45752 46284 46368 47196 47386 47472 48024 48461 48762 48944 49248 50112 50274 50568 50692 51156 51471 52164 52288 52374 52896 53406 53998 54027 54096 55062 55384 55728 56028 56373 56889 57362 57456 57792 58464 58824 59508 59584 59616 59856 60858 61103 61712 62307 62928 63296 63504 64032 64239 65016 65366 65772 66177 67032 67338 67424 68208 68628 69426 69552 69832 70794 71079 71208 72036 72128 73416 74304 74704 75164 75168 75411 75852 76038 76608 76734 78432 78561 79344 79808 80066 80109 80997 81144 82593 83076 83904 84042 84672 85652 86043 86184 86688 87696 88236 88711 89262 89376 89784 90944 91287 91504 92568 92736 94392 94772 94944 96048 96922 97524 97888 98049 98496 100548 101007 101136 101384 102312 102942 104139 104328 104748 105792 106812 107996 108054 108192 110124 110768 111456 112056 112746 113778 114057 114724 114912 115101 116928 117648 119016 119232 119712 120099 121716 122206 123424 124614 125856 126063 127008 128064 128478 130032 130732 131537 131544 132354 134064 134676 134848 136416 137256 138852 139104 139664 141588 142158 142416 144072 145383 146832 149408 150328 150336 150822 151704 152076 153468 154413 156864 157122 158688 160132 160218 161994 162288 165186 165851 166152 168084 169119 170667 171304 172086 172368 173376 175392 176472 177422 178524 178752 179568 182574 183008 183309 185136 186921 188784 189544 189888 192096 192717 193844 195048 195776 196098 200767 201096 202014 202272 202768 204624 205884 208278 208656 209496 213237 213624 215992 216108 216384 220248 221536 222912 224112 225492 227556 228114 229448 229824 230202 235296 235683 238032 239424 240198 242991 243432 244412 246848 247779 249228 251712 252126 254016 256956 258129 260064 261464 263074 263088 264708 266133 268128 269352 272832 274512 277704 278208 279328 283176 284316 284832 288144 290766 293664 294147 298816 300656 301644 303408 304152 306936 308826 312417 314244 317376 320264 320436 323988 324576 330372 331702 332304 336168 338238 341334 342171 342608 344172 344736 350784 352944 354844 357048 359136 360297 365148 366016 366618 370272 373842 377568 378189 379088 384192 385434 387688 390096 392196 394611 401534 402192 404028 404544 405536 409248 411768 416556 417312 418992 426474 427248 431984 432216 436149 440496 443072 448224 450984 455112 456228 458896 460404 463239 470592 471366 476064 480396 485982 486864 488824 495558 497553 498456 504252 507357 513912 516258 520128 522928 526148 526176 529416 532266 536256 538704 544939 549024 549927 555408 558656 560763 566352 568632 569664 576288 578151 581532 587328 588294 601312 602301 603288 606816 608304 613872 617652 620977 624834 628488 639711 640528 640872 647976 649152 660744 663404 664608 672336 676476 682668 684342 685216 688344 689472 705888 707049 709688 714096 718272 720594 728973 730296 733236 740544 747684 755136 756378 758176 770868 774387 775376 780192 784392 789222 798399 803068 804384 808056 811072 818496 823536 833112 834624 837984 852948 854496 863968 864432 872298 880992 882441 896448 901968 910224 912456 917792 920759 920808 926478 942732 952128 960792 971964 973728 977648 991116 995106 996912 1008504 1014714 1026513 1027824 1032516 1045856 1052296 1052352 1058832 1064532 1077408 1080891 1089878 1098048 1099854 1110816 1121526 1132704 1137264 1152576 1156302 1160957 1163064 1176588 1183833 1202624 1204602 1206576 1213632 1216608 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2882376 2915892 2921184 2932944 2985318 2990736 3025512 3044142 3083472 3097548 3101504 3137568 3156888 3193596 3212272 3232224 3242673 3269634 3294144 3299562 3332448 3411792 3457728 3468906 3482871 3489192 3529764 3551499 3607872 3613806 3640896 3649824 3683036 3683232 3705912 3725862 3770928 3814573 3838266 3843168 3887856 3910592 3925341 3964464 3980424 3987648 4034016 4058856 4106052 4111296 4130064 4209184 4216107 4235328 4258128 4323564 4359512 4373838 4399416 4477977 4486104 4549056 4625208 4643828 4646322 4652256 4706352 4735332 4790394 4818408 4826304 4904451 4941216 4949343 4967816 4998672 5027904 5117688 5126976 5183808 5233788 5285952 5294646 5307232 5411808 5420709 5461344 5474736 5506752 5524554 5588793 5621476 5656392 5677504 5764752 5831784 5842368 5865888 5970636 5981472 6051024 6088284 6166944 6195096 6275136 6313776 6387192 6424544 6464448 6485346 6539268 6599124 6664896 6823584 6937812 6965742 6978384 7059528 7102998 7185591 7227612 7299648 7366072 7366464 7411824 7451724 7541856 7629146 7676532 7686336 7775712 7850682 7928928 7960848 8068032 8117712 8212104 8260128 8286831 8418368 8432214 8516256 8647128 8719024 8747676 8798832 8955954 8972208 9250416 9287656 9292644 9304512 9412704 9470664 9580788 9636816 9808902 9882432 9898686 9935632 9997344 10235376 10448613 10467576 10589292 10614464 10654497 10823616 10841418 10922688 10949472 11049108 11177586 11242952 11312784 11443719 11529504 11663568 11731776 11941272 11962944 12102048 12176568 12333888 12390192 12627552 12648321 12774384 12849088 12970692 13078536 13198248 13433931 13647168 13875624 13931484 13956768 14119056 14205996 14371182 14455224 14713353 14732144 14823648 14903448 15083712 15258292 15353064 15551424 15701364 15857856 15921696 16235424 16262127 16424208 16520256 16573662 16766379 16864428 17032512 17294256 17438048 17495352 17597664 17911908 17944416 18500832 18575312 18585288 18825408 18941328 19161576 19273632 19617804 19797372 19871264 19994688 20470752 20897226 20935152 21178584 21308994 21682836 21898944 22098216 22355172 22485904 22625568 22887438 23059008 23327136 23882544 24204096 24353136 24780384 24860493 25255104 25296642 25548768 25941384 26157072 26396496 26702011 26867862 27751248 27862968 27913536 28238112 28411992 28742364 28910448 29426706 29464288 29647296 29806896 30516584 30706128 31345839 31402728 31843392 32470848 32524254 32848416 33147324 33532758 33728856 34331157 34588512 34876096 34990704 35195328 35823816 35888832 37001664 37150624 37170576 37882656 37944963 38323152 38547264 39235608 39594744 39742528 40941504 41794452 41870304 42357168 42617988 43365672 44140059 44196432 44710344 44971808 45251136 45774876 46654272 47765088 48706272 49560768 49720986 50299137 50593284 51097536 51882768 52314144 52792992 53404022 53735724 55502496 55725936 56476224 56823984 57484728 57820896 58853412 58928576 59613792 61033168 61412256 62691678 62805456 65048508 65696832 66294648 67065516 67457712 68662314 69177024 69981408 71647632 74301248 74341152 74581479 75765312 75889926 76646304 78471216 79189488 80106033 83588904 83740608 84714336 85235976 86731344 88280118 88392864 89420688 89943616 91549752 94037517 95530176 97412544 99441972 100598274 101186568 102993471 103765536 104628288 105585984 106808044 107471448 111004992 111451872 113647968 113834889 114969456 115641792 117706824 119227584 122066336 122824512 125383356 125610912 130097016 132589296 134131032 134915424 137324628 139962816 143295264 148682304 149162958 151779852 153292608 156942432 158378976 160212066 167177808 169428672 170471952 173462688 176560236 176785728 178841376 183099504 188075034 198883944 201196548 202373136 205986942 207531072 213616088 214942896 222903744 227295936 227669778 229938912 235413648 240318099 244132672 250766712 251221824 260194032 265178592 268262064 269830848 274649256 286590528 298325916 303559704 308980413 313884864 316757952 320424132 334355616 340943904 346925376 353120472 357682752 366199008 376150068 397767888 402393096 404746272 411973884 427232176 429885792 455339556 459877824 470827296 480636198 501533424 520388064 530357184 536524128 549298512 596651832 607119408 617960826 640848264 668711232 681887808 706240944 720954297 732398016 752300136 795535776 804786192 809492544 823947768 854464352 859771584 910679112 941654592 961272396 1003066848 1040776128 1073048256 1098597024 1193303664 1214238816 1235921652 1281696528 1412481888 1441908594 1504600272 1591071552 1609572384 1647895536 1708928704 1821358224 1922544792 2006133696 2162862891 2197194048 2386607328 2428477632 2471843304 2563393056 2824963776 2883817188 3009200544 3219144768 3295791072 3642716448 3845089584 4325725782 4773214656 4943686608 5126786112 5767634376 6018401088 6591582144 7285432896 7690179168 8651451564 9887373216 11535268752 15380358336 17302903128 19774746432 23070537504 34605806256 46141075008 69211612512 138423225024
- Sum of all divisors σ(n): 554982278400
- Sum of proper divisors (its aliquot sum) s(n): 416559053376
- 138423225024 is an abundant number, because the sum of its proper divisors (416559053376) is greater than itself. Its abundance is 278135828352
Bases of 138423225024
- Binary: 100000001110101010101011001010110000002
- Hexadecimal: 0x203AAACAC0
- Base-36: 1RL9M400
Squares and roots of 138423225024
- 138423225024 squared (1384232250242) is 19160989226044939800576
- 138423225024 cubed (1384232250243) is 2652325923319258303551665332813824
-
The
square root of 138423225024 is 372052.7180709745 -
The
cube root of 138423225024 is 5172.9266592913
Scales and comparisons
How big is 138423225024?- 138,423,225,024 seconds is equal to 4,401 years, 22 weeks, 2 days, 15 hours, 50 minutes, 24 seconds.
-
To count from 1 to 138,423,225,024 would take you about eight thousand, eight hundred 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 138423225024 cubic inches would be around 431.1 feet tall.
Recreational maths with 138423225024
- 138423225024 backwards is 420522324831
- 138423225024 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138423225024's digits is 36
- More coming soon!
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"Number 138423225024 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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The information we have on file for 138423225024 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 138423225024, math, Factors of 138423225024, curriculum, school, college, exams, university, Prime factorization of 138423225024, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, four hundred twenty-three million, two hundred twenty-five thousand and twenty-four.