34538318904128

Names of 34538318904128

• Cardinal: 34538318904128 can be written as Thirty-four trillion, five hundred thirty-eight billion, three hundred eighteen million, nine hundred four thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 3.4538318904128 × 10¹³

Factors of 34538318904128

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 173

Divisors of 34538318904128

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 4 8 13 16 19 26 31 32 38 47 52 61 62 64 76 94 104 122 124 152 169 188 208 244 247 248 304 338 376 403 416 488 494 496 589 608 611 676 752 793 806 832 893 961 976 988 992 1159 1178 1216 1222 1352 1457 1504 1586 1612 1786 1891 1922 1952 1976 1984 2318 2356 2444 2704 2867 2914 3008 3172 3211 3224 3572 3721 3782 3844 3904 3952 4636 4712 4888 5239 5408 5734 5828 6344 6422 6448 7144 7442 7564 7657 7688 7904 7943 9272 9424 9776 10309 10478 10816 11468 11609 11656 12493 12688 12844 12896 14288 14884 15067 15128 15314 15376 15808 15886 18259 18544 18848 18941 19552 20618 20956 22936 23218 23312 24583 24986 25376 25688 25792 27683 28576 29768 30134 30256 30628 30752 31772 35929 36518 37088 37271 37696 37882 39104 41236 41912 45167 45872 46436 46624 48373 49166 49972 50752 51376 54473 55366 57152 58621 59536 60268 60512 61256 61504 63544 70699 71858 73036 74176 74542 75764 82472 83824 88877 90334 91744 92872 93248 96746 98332 99541 99944 102752 108946 110732 115351 117242 119072 120536 121024 122512 127088 141398 143716 146072 149084 150917 151528 162409 164944 167648 174887 177754 180668 183488 185744 193492 195871 196664 199082 199888 205504 217892 221464 230702 234484 237367 238144 241072 245024 246233 254176 282796 287432 292144 298168 301834 303056 319579 324818 329888 335296 349774 355508 359879 361336 371488 386984 391742 393328 398164 399776 435784 442928 461404 467077 468968 474734 482144 484523 490048 492466 508352 565592 574864 584288 587171 596336 603668 606112 628849 639158 649636 659776 699548 708149 711016 719758 722672 742976 762073 773968 783484 786656 796328 799552 858173 871568 885856 919087 922808 934154 937936 949468 964288 969046 984932 1113799 1131184 1149728 1155401 1168576 1174342 1192672 1207336 1212224 1257698 1278316 1299272 1399096 1416298 1422032 1439516 1445344 1499563 1524146 1547936 1566968 1573312 1592656 1688663 1716346 1743136 1771712 1838174 1845616 1868308 1875872 1898936 1938092 1969864 2191669 2227598 2262368 2273531 2299456 2310802 2348684 2385344 2414672 2515396 2556632 2598544 2755187 2798192 2832596 2844064 2879032 2890688 2999126 3048292 3085771 3095872 3133936 3185312 3322853 3377326 3432692 3486272 3575881 3676348 3691232 3736616 3751744 3797872 3876184 3939728 4383338 4455196 4524736 4547062 4621604 4678427 4697368 4829344 5030792 5113264 5197088 5421497 5510374 5596384 5665192 5688128 5758064 5998252 6072001 6096584 6171542 6267872 6370624 6645706 6754652 6865384 7151762 7352696 7382464 7473232 7595744 7633223 7752368 7879456 8766676 8910392 9094124 9205937 9243208 9356854 9394736 9658688 9906949 10061584 10226528 10394176 10842994 11020748 11156249 11192768 11330384 11516128 11948131 11996504 12144002 12193168 12343084 12535744 13291412 13509304 13730768 14303524 14479387 14705392 14946464 15020213 15191488 15266446 15504736 15758912 17533352 17820784 18188248 18411874 18486416 18713708 18789472 19494319 19813898 20123168 20453056 21685988 21952619 22041496 22312498 22660768 23032256 23896262 23993008 24288004 24386336 24686168 26582824 27018608 27461536 28491697 28607048 28958774 29410784 29555903 29892928 30040426 30532892 31009472 35066704 35641568 35817431 36376496 36823748 36972832 37427416 37578944 38988638 39627796 40246336 43197089 43371976 43905238 44082992 44624996 45321536 46486453 47792524 47986016 48576008 48772672 49372336 52348553 53165648 54037216 54923072 56983394 57214096 57917548 58821568 59111806 60080852 61065784 67941739 70133408 70479461 71283136 71634862 72752992 73647496 73945664 74854832 77977276 79255592 86394178 86743952 87810476 88165984 89249992 92972906 95585048 95972032 97152016 98744672 103008443 104697106 106331296 108074432 113966788 114428192 115835096 118223612 120161704 122131568 135883478 140266816 140958922 143269724 145031237 145505984 147294992 149709664 155954552 158511184 168066407 172788356 173487904 175620952 176331968 178499984 185945812 188232031 191170096 194304032 197489344 206016886 209394212 212662592 227933576 228856384 231670192 236447224 240323408 244263136 271766956 281917844 285384047 286539448 290062474 294589984 299419328 311909104 317022368 336132814 345576712 346975808 351241904 356999968 370392061 371891624 376464062 382340192 388608064 412033772 418788424 455867152 463340384 465626603 472894448 480646816 488526272 543533912 561562157 563835688 570768094 573078896 580124948 589179968 604323889 623818208 634044736 672265628 680531189 691153424 702483808 713999936 740784122 743783248 752928124 764680384 824067544 837576848 883242607 911734304 916232993 926680768 931253206 945788896 961293632 1087067824 1123124314 1127671376 1141536188 1146157792 1160249896 1208647778 1247636416 1339109759 1344531256 1361062378 1382306848 1404967616 1481568244 1487566496 1505856248 1648135088 1675153696 1766485214 1823468608 1832465986 1862506412 1891577792 2174135648 2184863291 2246248628 2255342752 2283072376 2292315584 2320499792 2417295556 2678219518 2689062512 2722124756 2764613696 2963136488 2975132992 3011712496 3193261733 3296270176 3350307392 3532970428 3664931972 3725012824 4348271296 4369726582 4492497256 4510685504 4566144752 4640999584 4834591112 5356439036 5378125024 5444249512 5926272976 6023424992 6386523466 6592540352 7065940856 7329863944 7450025648 8739453164 8846905457 8984994512 9132289504 9281999168 9669182224 10712878072 10756250048 10888499024 11482153891 11852545952 12046849984 12773046932 14131881712 14659727888 14900051296 17408426867 17478906328 17693810914 17969989024 18264579008 19338364448 21425756144 21776998048 22964307782 23705091904 25546093864 28263763424 28403222783 29319455776 29800102592 34816853734 34957812656 35387621828 35939978048 38676728896 41512402529 42851512288 43553996096 45928615564 51092187728 56527526848 56806445566 58638911552 69633707468 69915625312 70775243656 83024805058 85703024576 91857231128 102184375456 113612891132 139267414936 139831250624 141550487312 166049610116 183714462256 204368750912 227225782264 278534829872 283100974624 332099220232 367428924512 454451564528 539661232877 557069659744 566201949248 664198440464 734857849024 908903129056 1079322465754 1114139319488 1328396880928 1817806258112 2158644931508 2656793761856 4317289863016 8634579726032 17269159452064 34538318904128
• Sum of all divisors σ(n): 83813047755840
• Sum of proper divisors (its aliquot sum) s(n): 49274728851712
• 34538318904128 is an abundant number, because the sum of its proper divisors (49274728851712) is greater than itself. Its abundance is 14736409947584

Bases of 34538318904128

• Binary: 111110110100110010100001110101011101101000000₂
• Hexadecimal: 0x1F69943ABB40
• Base-36: C8QONBM0W

Squares and roots of 34538318904128

• 34538318904128 squared (34538318904128²) is 1192895472723245570855440384
• 34538318904128 cubed (34538318904128³) is 41200604256205979480619303499021715505152
• The square root of 34538318904128 is 5876931.0787287611
• The cube root of 34538318904128 is 32566.1984524207

Scales and comparisons

• 34,538,318,904,128 seconds is equal to 1,098,211 years, 36 weeks, 5 days, 9 hours, 22 minutes, 8 seconds.
• To count from 1 to 34,538,318,904,128 would take you about two million, seven hundred forty-five thousand, five hundred twenty-nine 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 34538318904128 cubic inches would be around 2713.8 feet tall.

Recreational maths with 34538318904128

• 34538318904128 backwards is 82140981383543
• The number of decimal digits it has is: 14
• The sum of 34538318904128's digits is 59
• More coming soon!