38825793988608

Names of 38825793988608

• Cardinal: 38825793988608 can be written as Thirty-eight trillion, eight hundred twenty-five billion, seven hundred ninety-three million, nine hundred eighty-eight thousand, six hundred eight.

Scientific notation

• Scientific notation: 3.8825793988608 × 10¹³

Factors of 38825793988608

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 7884

Divisors of 38825793988608

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 41 44 48 51 64 66 68 82 88 96 102 107 123 128 132 136 164 176 187 192 204 214 246 256 264 272 321 328 352 374 384 408 428 451 492 512 528 544 561 642 656 697 704 748 768 816 856 902 984 1024 1056 1088 1122 1177 1284 1312 1353 1394 1408 1496 1536 1632 1712 1804 1819 1968 2048 2091 2112 2176 2244 2354 2568 2624 2706 2788 2816 2992 3072 3264 3424 3531 3608 3638 3936 4182 4224 4352 4387 4488 4708 5136 5248 5412 5457 5576 5632 5984 6144 6528 6848 7062 7216 7276 7667 7703 7872 8364 8448 8704 8774 8976 9416 10272 10496 10824 10914 11152 11264 11968 13056 13161 13696 14124 14432 14552 15334 15406 15744 16728 16896 17408 17548 17952 18832 20009 20544 20992 21648 21828 22304 22528 23001 23109 23936 26112 26322 27392 28248 28864 29104 30668 30812 31488 33456 33792 34816 35096 35904 37664 40018 41088 41984 43296 43656 44608 46002 46218 47872 48257 52224 52644 54784 56496 57728 58208 60027 61336 61624 62976 66912 67584 70192 71808 74579 75328 80036 82176 83968 84733 86592 87312 89216 92004 92436 95744 96514 104448 105288 109568 112992 115456 116416 120054 122672 123248 125952 130951 133824 140384 143616 144771 149158 150656 160072 164352 169466 173184 174624 178432 184008 184872 191488 193028 210576 219136 223737 225984 230912 232832 240108 245344 246496 251904 254199 261902 267648 280768 287232 289542 298316 301312 315823 320144 328704 338932 346368 349248 356864 368016 369744 382976 386056 392853 421152 447474 451968 461824 465664 480216 490688 492992 508398 523804 535296 561536 574464 579084 596632 602624 631646 640288 657408 677864 692736 698496 713728 736032 739488 772112 785706 820369 824221 842304 894948 903936 923648 931328 947469 960432 981376 985984 1016796 1047608 1070592 1123072 1148928 1158168 1193264 1205248 1263292 1280576 1355728 1385472 1396992 1427456 1440461 1472064 1478976 1544224 1571412 1640738 1648442 1684608 1789896 1807872 1862656 1894938 1920864 1962752 1971968 2033592 2095216 2141184 2246144 2316336 2386528 2410496 2461107 2472663 2526584 2561152 2711456 2770944 2793984 2880922 2944128 2957952 3088448 3142824 3281476 3296884 3369216 3474053 3579792 3615744 3725312 3789876 3841728 3925504 3943936 4067184 4190432 4282368 4321383 4492288 4632672 4773056 4922214 4945326 5053168 5122304 5368991 5422912 5587968 5761844 5888256 5915904 6176896 6285648 6562952 6593768 6738432 6948106 7159584 7231488 7579752 7683456 7851008 7887872 8134368 8380864 8642766 8984576 9066431 9265344 9546112 9844428 9890652 10106336 10244608 10422159 10737982 10845824 11175936 11523688 11776512 11831808 12353792 12571296 13125904 13187536 13476864 13896212 14011757 14319168 15159504 15366912 15702016 15775744 16106973 16268736 16761728 17285532 18132862 18530688 19092224 19688856 19781304 20212672 20489216 20844318 21475964 21691648 23047376 23553024 23663616 24707584 25142592 26251808 26375072 26953728 27199293 27792424 28023514 28638336 30319008 30733824 32213946 32537472 33523456 33793061 34571064 36265724 37061376 38184448 39377712 39562608 40425344 40978432 41688636 42035271 42951928 43383296 46094752 47106048 47327232 49415168 50285184 52503616 52750144 54398586 55584848 56047028 57276672 59058901 60638016 61467648 64427892 65074944 67046912 67586122 69142128 72531448 74122752 76368896 78755424 79125216 80850688 83377272 84070542 85903856 86766592 92189504 98830336 100570368 101379183 105007232 105500288 108797172 111169696 112094056 114553344 118117802 121276032 122935296 128855784 130149888 134093824 135172244 138284256 145062896 148245504 152737792 154129327 157510848 158250432 161701376 166754544 168141084 171807712 173533184 177176703 184379008 201140736 202758366 210014464 211000576 217594344 222339392 224188112 229106688 236235604 242552064 257711568 260299776 268187648 270344488 276568512 290125792 296491008 308258654 315021696 316500864 323402752 333509088 336282168 343615424 354353406 368758016 371723671 402281472 405516732 420028928 422001152 435188688 444678784 448376224 458213376 462387981 472471208 485104128 515423136 520599552 540688976 553137024 574482037 580251584 616517308 630043392 633001728 646805504 667018176 672564336 687230848 708706812 737516032 743447342 804562944 811033464 840057856 844002304 870377376 889357568 896752448 924775962 944942416 970208256 1030846272 1081377952 1106274048 1115171013 1148964074 1160503168 1233034616 1260086784 1266003456 1334036352 1345128672 1374461696 1417413624 1475032064 1486894684 1622066928 1680115712 1688004608 1723446111 1740754752 1778715136 1793504896 1849551924 1889884832 1940416512 2061692544 2162755904 2212548096 2230342026 2297928148 2321006336 2466069232 2520173568 2532006912 2668072704 2690257344 2748923392 2834827248 2950064128 2973789368 3244133856 3446892222 3481509504 3557430272 3587009792 3699103848 3779769664 4123385088 4325511808 4425096192 4460684052 4595856296 4642012672 4932138464 5040347136 5064013824 5336145408 5380514688 5497846784 5669654496 5947578736 6319302407 6488267712 6893784444 6963019008 7114860544 7174019584 7398207696 7559539328 8246770176 8651023616 8850192384 8921368104 9191712592 9284025344 9864276928 10672290816 10761029376 10995693568 11339308992 11895157472 12638604814 12976535424 13787568888 13926038016 14348039168 14796415392 15119078656 16493540352 17302047232 17842736208 18383425184 18568050688 18957907221 19728553856 21344581632 21522058752 22678617984 23790314944 25277209628 25953070848 27575137776 27852076032 28696078336 29592830784 30238157312 32987080704 34604094464 35685472416 36766850368 37915814442 39457107712 43044117504 45357235968 47580629888 50554419256 51906141696 55150275552 55704152064 59185661568 60476314624 69208188928 71370944832 73533700736 75831628884 78914215424 86088235008 90714471936 95161259776 101108838512 103812283392 110300551104 118371323136 120952629248 142741889664 147067401472 151663257768 157828430848 181428943872 190322519552 202217677024 207624566784 220601102208 236742646272 285483779328 294134802944 303326515536 315656861696 362857887744 380645039104 404435354048 441202204416 473485292544 570967558656 588269605888 606653031072 761290078208 808870708096 882404408832 946970585088 1141935117312 1176539211776 1213306062144 1617741416192 1764808817664 2283870234624 2426612124288 3235482832384 3529617635328 4853224248576 6470965664768 9706448497152 12941931329536 19412896994304 38825793988608
• Sum of all divisors σ(n): 123639422699520
• Sum of proper divisors (its aliquot sum) s(n): 84813628710912
• 38825793988608 is an abundant number, because the sum of its proper divisors (84813628710912) is greater than itself. Its abundance is 45987834722304

Bases of 38825793988608

• Binary: 1000110100111111010101101010001010100000000000₂
• Hexadecimal: 0x234FD5A8A800
• Base-36: DRGBNADXC

Squares and roots of 38825793988608

• 38825793988608 squared (38825793988608²) is 1507442278845829109633777664
• 38825793988608 cubed (38825793988608³) is 58527643368185936329232781807317220851712
• The square root of 38825793988608 is 6231034.7446156967
• The cube root of 38825793988608 is 33861.5459490297

Scales and comparisons

• 38,825,793,988,608 seconds is equal to 1,234,540 years, 7 weeks, 6 days, 14 hours, 36 minutes, 48 seconds.
• To count from 1 to 38,825,793,988,608 would take you about three million, eighty-six thousand, three hundred fifty 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 38825793988608 cubic inches would be around 2821.8 feet tall.

Recreational maths with 38825793988608

• 38825793988608 backwards is 80688939752883
• The number of decimal digits it has is: 14
• The sum of 38825793988608's digits is 84
• More coming soon!