338968231707168

Names of 338968231707168

• Cardinal: 338968231707168 can be written as Three hundred thirty-eight trillion, nine hundred sixty-eight billion, two hundred thirty-one million, seven hundred seven thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 3.38968231707168 × 10¹⁴

Factors of 338968231707168

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 882

Divisors of 338968231707168

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 49 56 62 63 72 84 93 96 98 112 124 126 144 147 168 186 196 217 224 248 252 279 288 294 336 372 392 434 441 496 504 558 588 651 672 744 784 839 868 882 961 992 1008 1116 1176 1302 1488 1519 1568 1678 1736 1764 1922 1953 2016 2232 2352 2517 2604 2883 2976 3038 3356 3472 3528 3844 3906 4464 4557 4704 5034 5208 5766 5873 6076 6712 6727 6944 7056 7551 7688 7812 8649 8928 9114 10068 10416 11532 11746 12152 13424 13454 13671 14112 15102 15376 15624 17298 17619 18228 20136 20181 20832 23064 23492 24304 26009 26848 26908 27342 29791 30204 30752 31248 34596 35238 36456 40272 40362 41111 46128 46984 47089 48608 52018 52857 53816 54684 59582 60408 60543 62496 69192 70476 72912 78027 80544 80724 82222 89373 92256 93968 94178 104036 105714 107632 109368 119164 120816 121086 123333 138384 140952 141267 145824 156054 161448 164444 178746 182063 187936 188356 208072 208537 211428 215264 218736 234081 238328 241632 242172 246666 268119 276768 281904 282534 312108 322896 328888 357492 364126 369999 376712 416144 417074 422856 423801 437472 468162 476656 484344 493332 536238 546189 563808 565068 624216 625611 645792 657776 714984 728252 739998 753424 806279 832288 834148 845712 847602 923521 936324 953312 968688 986664 1072476 1092378 1130136 1248432 1251222 1274441 1315552 1429968 1456504 1459759 1479996 1506848 1612558 1638567 1668296 1691424 1695204 1847042 1872648 1876833 1937376 1973328 2144952 2184756 2260272 2418837 2496864 2502444 2548882 2770563 2859936 2913008 2919518 2959992 3225116 3277134 3336592 3390408 3694084 3745296 3753666 3823323 3946656 4289904 4369512 4379277 4520544 4837674 5004888 5097764 5541126 5643953 5826016 5839036 5919984 6450232 6464647 6554268 6673184 6780816 7256511 7388168 7490592 7507332 7646646 8311689 8579808 8739024 8758554 9675348 10009776 10195528 11082252 11287906 11469969 11678072 11839968 12900464 12929294 13108536 13137831 13561632 14513022 14776336 15014664 15293292 16623378 16931859 17478048 17517108 19350696 19393941 20019552 20391056 22164504 22575812 22939938 23356144 24994649 25800928 25858588 26217072 26275662 28629151 29026044 29552672 30029328 30586584 33246756 33863718 35034216 38701392 38787882 39507671 40782112 44329008 45151624 45252529 45879876 46712288 49989298 50795577 51717176 52434144 52551324 57258302 58052088 58181823 60058656 61173168 66493512 67727436 70068432 74983947 77402784 77575764 79015342 85887453 88658016 90303248 90505058 91759752 99978596 101591154 103434352 105102648 114516604 116104176 116363646 118523013 122346336 132987024 135454872 135757587 140136864 149967894 155151528 158030684 171774906 174962543 180606496 181010116 183519504 199957192 200404057 203182308 206868704 210205296 224951841 229033208 232208352 232727292 237046026 257662359 265974048 270909744 271515174 299935788 310303056 316061368 343549812 349925086 355569039 362020232 367039008 399914384 400808114 406364616 407272761 420410592 449903682 458066416 465454584 474092052 515324718 524887629 541819488 543030348 599871576 601212171 620606112 632122736 687099624 699850172 711138078 724040464 774834119 799828768 801616228 812729232 814545522 899807364 916132832 930909168 948184104 1030649436 1049775258 1086060696 1199743152 1202424342 1224737801 1264245472 1374199248 1399700344 1402828399 1422276156 1448080928 1549668238 1574662887 1603232456 1625458464 1629091044 1799614728 1803636513 1861818336 1896368208 2061298872 2099550516 2172121392 2324502357 2399486304 2404848684 2449475602 2748398496 2799400688 2805656798 2844552312 3099336476 3149325774 3206464912 3258182088 3599229456 3607273026 3674213403 3792736416 4122597744 4199101032 4208485197 4344242784 4649004714 4809697368 4898951204 5423838833 5598801376 5611313596 5689104624 6198672952 6298651548 6412929824 6516364176 6973507071 7198458912 7214546052 7348426806 8245195488 8398202064 8416970394 9298009428 9619394736 9797902408 10847677666 11022640209 11222627192 11378209248 12397345904 12597303096 12625455591 13032728352 13947014142 14429092104 14696853612 16271516499 16796404128 16833940788 18596018856 19238789472 19595804816 21695355332 22045280418 22445254384 24019857689 24794691808 25194606192 25250911182 27894028284 28858184208 29393707224 32543032998 33667881576 37192037712 37966871831 39191609632 43390710664 44090560836 44890508768 48039715378 48814549497 50389212384 50501822364 55788056568 57716368416 58787414448 65086065996 67335763152 72059573067 74384075424 75933743662 86781421328 88181121672 96079430756 97629098994 101003644728 111576113136 113900615493 117574828896 130172131992 134671526304 144119146134 151867487324 168139003823 173562842656 176362243344 192158861512 195258197988 202007289456 216178719201 223152226272 227801230986 260344263984 288238292268 303734974648 336278007646 341701846479 352724486688 384317723024 390516395976 404014578912 432357438402 455602461972 504417011469 520688527968 576476584536 607469949296 672556015292 683403692958 768635446048 781032791952 864714876804 911204923944 1008834022938 1152953169072 1176973026761 1214939898592 1345112030584 1366807385916 1513251034407 1562065583904 1729429753608 1822409847888 2017668045876 2305906338144 2353946053522 2690224061168 2733614771832 3026502068814 3458859507216 3530919080283 3644819695776 4035336091752 4707892107044 5380448122336 5467229543664 6053004137628 6917719014432 7061838160566 8070672183504 9415784214088 10592757240849 10934459087328 12106008275256 14123676321132 16141344367008 18831568428176 21185514481698 24212016550512 28247352642264 37663136856352 42371028963396 48424033101024 56494705284528 84742057926792 112989410569056 169484115853584 338968231707168
• Sum of all divisors σ(n): 1160077360216320
• Sum of proper divisors (its aliquot sum) s(n): 821109128509152
• 338968231707168 is an abundant number, because the sum of its proper divisors (821109128509152) is greater than itself. Its abundance is 482140896801984

Bases of 338968231707168

• Binary: 1001101000100101000110001000010101000001000100000₂
• Hexadecimal: 0x1344A310A8220
• Base-36: 3C5JUT9AG0

Squares and roots of 338968231707168

• 338968231707168 squared (338968231707168²) is 114899462106684333459702580224
• 338968231707168 cubed (338968231707168³) is 38947267494407544607309240128695817995845632
• The square root of 338968231707168 is 18411089.9108979423
• The cube root of 338968231707168 is 69724.6483463923

Scales and comparisons

• 338,968,231,707,168 seconds is equal to 10,778,141 years, 14 weeks, 12 hours, 52 minutes, 48 seconds.
• To count from 1 to 338,968,231,707,168 would take you about twenty-six million, nine hundred forty-five thousand, three hundred fifty-three 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 338968231707168 cubic inches would be around 5810.4 feet tall.

Recreational maths with 338968231707168

• 338968231707168 backwards is 861707132869833
• 338968231707168 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 338968231707168's digits is 72
• More coming soon!