348164136206982144

Names of 348164136206982144

• Cardinal: 348164136206982144 can be written as Three hundred forty-eight quadrillion, one hundred sixty-four trillion, one hundred thirty-six billion, two hundred six million, nine hundred eighty-two thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 3.48164136206982144 × 10¹⁷

Factors of 348164136206982144

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 1141

Divisors of 348164136206982144

• Number of divisors d(n): 1188
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 271 288 336 384 401 448 457 504 512 542 576 672 768 802 813 896 914 1008 1024 1084 1152 1203 1344 1371 1536 1604 1626 1792 1828 1897 2016 2168 2304 2406 2439 2688 2742 2807 3072 3199 3208 3252 3584 3609 3656 3794 4032 4113 4336 4608 4812 4878 5376 5484 5614 5691 6398 6416 6504 7168 7218 7312 7588 8064 8226 8421 8672 9216 9597 9624 9756 10752 10968 11228 11382 12796 12832 13008 14436 14624 15176 16128 16452 16842 17073 17344 19194 19248 19512 21504 21936 22456 22764 25263 25592 25664 26016 28791 28872 29248 30352 32256 32904 33684 34146 34688 38388 38496 39024 43872 44912 45528 50526 51184 51328 52032 57582 57744 58496 60704 64512 65808 67368 68292 69376 73441 76776 76992 78048 87744 89824 91056 101052 102368 102656 104064 108671 115164 115488 116992 121408 123847 131616 134736 136584 138752 146882 153552 153984 156096 160801 175488 179648 182112 183257 202104 204736 205312 208128 217342 220323 230328 230976 233984 242816 247694 263232 269472 273168 277504 293764 307104 307968 312192 321602 326013 350976 359296 364224 366514 371541 404208 409472 410624 416256 434684 440646 460656 461952 467968 482403 485632 495388 514087 526464 538944 546336 549771 587528 614208 615936 624384 643204 652026 660969 701952 718592 728448 733028 743082 760697 808416 818944 832512 866929 869368 881292 921312 923904 964806 971264 978039 990776 1028174 1052928 1077888 1092672 1099542 1114623 1125607 1175056 1228416 1231872 1248768 1282799 1286408 1304052 1321938 1403904 1437184 1447209 1456896 1466056 1486164 1521394 1542261 1616832 1637888 1649313 1733858 1738736 1762584 1842624 1847808 1929612 1942528 1956078 1981552 2056348 2105856 2155776 2185344 2199084 2229246 2251214 2282091 2350112 2456832 2497536 2565598 2572816 2600787 2608104 2643876 2874368 2894418 2913792 2932112 2972328 3042788 3084522 3233664 3275776 3298626 3376821 3467716 3477472 3525168 3685248 3695616 3848397 3859224 3912156 3963104 4112696 4211712 4311552 4370688 4398168 4458492 4502428 4564182 4626783 4700224 4913664 5131196 5145632 5201574 5216208 5287752 5788836 5827584 5864224 5944656 6085576 6169044 6467328 6597252 6753642 6846273 6935432 6954944 7050336 7370496 7696794 7718448 7802361 7824312 7926208 8225392 8623104 8741376 8796336 8916984 9004856 9128364 9253566 9400448 9827328 10130463 10262392 10291264 10403148 10432416 10575504 11545191 11577672 11728448 11889312 12171152 12338088 12934656 13194504 13507284 13692546 13870864 13909888 14100672 14740992 15393588 15436896 15604722 15648624 15852416 16450784 17482752 17592672 17833968 18009712 18256728 18507132 18800896 20260926 20524784 20582528 20806296 20864832 21151008 23090382 23155344 23456896 23778624 24342304 24676176 25869312 26389008 27014568 27385092 27741728 27819776 28201344 29449841 29481984 30787176 30873792 31209444 31297248 31704832 32901568 33562537 35185344 35667936 36019424 36513456 37014264 37601792 40521852 41049568 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10037019609288 10196337380864 10336187394816 10581210071936 10793779024274 11470879553472 11903861330928 12058885293952 12092811510784 13382692812384 13566245955696 13604412949632 13781583193088 15294506071296 15504281092224 15871815107904 16190668536411 17843590416512 18088327940928 18139217266176 20074039218576 20392674761728 20672374789632 21162420143872 21587558048548 22941759106944 23807722661856 24117770587904 26765385624768 27132491911392 27208825899264 30589012142592 31008562184448 31743630215808 32381337072822 35687180833024 36176655881856 36278434532352 37778226584959 40148078437152 41344749579264 42324840287744 43175116097096 45883518213888 47615445323712 48235541175808 48572005609233 53530771249536 54264983822784 54417651798528 61178024285184 62017124368896 63487260431616 64762674145644 71374361666048 72353311763712 75556453169918 80296156874304 84649680575488 86350232194192 91767036427776 95230890647424 96471082351616 97144011218466 107061542499072 108529967645568 108835303597056 113334679754877 124034248737792 126974520863232 129525348291288 142748723332096 144706623527424 151112906339836 160592313748608 172700464388384 183534072855552 190461781294848 194288022436932 214123084998144 217059935291136 226669359509754 253949041726464 259050696582576 289413247054848 302225812679672 321184627497216 340004039264631 345400928776768 380923562589696 388576044873864 428246169996288 434119870582272 453338719019508 518101393165152 604451625359344 642369254994432 680008078529262 690801857553536 761847125179392 777152089747728 868239741164544 906677438039016 1036202786330304 1208903250718688 1284738509988864 1360016157058524 1381603715107072 1554304179495456 1813354876078032 2072405572660608 2417806501437376 2720032314117048 2763207430214144 3108608358990912 3626709752156064 4144811145321216 4835613002874752 5440064628234096 5526414860428288 6217216717981824 7253419504312128 8289622290642432 9671226005749504 10880129256468192 12434433435963648 14506839008624256 16579244581284864 19342452011499008 21760258512936384 24868866871927296 29013678017248512 38684904022998016 43520517025872768 49737733743854592 58027356034497024 87041034051745536 116054712068994048 174082068103491072 348164136206982144
• Sum of all divisors σ(n): 1158600913026722256
• Sum of proper divisors (its aliquot sum) s(n): 810436776819740112
• 348164136206982144 is an abundant number, because the sum of its proper divisors (810436776819740112) is greater than itself. Its abundance is 462272640612757968

Bases of 348164136206982144

• Binary: 10011010100111011010110111111101110001001011101110000000000₂
• Hexadecimal: 0x4D4ED6FEE25DC00
• Base-36: 2N85VW461340

Squares and roots of 348164136206982144

• 348164136206982144 squared (348164136206982144²) is 121218265740754014709216775934836736
• 348164136206982144 cubed (348164136206982144³) is 42203852784138038054748764171179249334260207907241984
• The square root of 348164136206982144 is 590054350.2144375717
• The cube root of 348164136206982144 is 703495.5334101327

Scales and comparisons

• 348,164,136,206,982,144 seconds is equal to 11,070,542,588 years, 51 weeks, 6 days, 15 hours, 2 minutes, 24 seconds.
• To count from 1 to 348,164,136,206,982,144 would take you about thirty-three billion, two hundred eleven million, six hundred twenty-seven thousand, seven hundred sixty-six 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 348164136206982144 cubic inches would be around 58624.6 feet tall.

Recreational maths with 348164136206982144

• 348164136206982144 backwards is 441289602631461843
• 348164136206982144 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 348164136206982144's digits is 72
• More coming soon!