97981948382281728

Names of 97981948382281728

• Cardinal: 97981948382281728 can be written as Ninety-seven quadrillion, nine hundred eighty-one trillion, nine hundred forty-eight billion, three hundred eighty-two million, two hundred eighty-one thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 9.7981948382281728 × 10¹⁶

Factors of 97981948382281728

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 443

Divisors of 97981948382281728

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 367 384 426 512 568 734 768 852 1024 1101 1136 1468 1536 1704 2048 2202 2272 2936 3072 3408 4096 4404 4544 5041 5872 6144 6816 8192 8808 9088 10082 11744 12288 13632 15123 16384 17616 18176 20164 23488 24576 26057 27264 30246 32768 35232 36352 40328 46976 49152 52114 54528 60492 65536 70464 72704 78171 80656 93952 98304 104228 109056 120984 131072 134689 140928 145408 156342 161312 187904 196608 208456 218112 241968 269378 281856 290816 312684 322624 375808 393216 404067 416912 436224 483936 538756 563712 581632 625368 645248 751616 808134 833824 872448 967872 1077512 1127424 1163264 1250736 1290496 1503232 1616268 1667648 1744896 1850047 1935744 2155024 2254848 2326528 2501472 2580992 3006464 3232536 3335296 3489792 3700094 3871488 4310048 4509696 4653056 5002944 5161984 5550141 6012928 6465072 6670592 6979584 7400188 7742976 8620096 9019392 9306112 9562919 10005888 10323968 11100282 12025856 12930144 13341184 13959168 14800376 15485952 17240192 18038784 19125838 20011776 20647936 22200564 24051712 25860288 26682368 27918336 28688757 29600752 30971904 34480384 36077568 38251676 40023552 41295872 44401128 48103424 49430863 51720576 53364736 57377514 59201504 61943808 68960768 72155136 76503352 80047104 82591744 88802256 98861726 103441152 106729472 114755028 118403008 123887616 137921536 144310272 148292589 153006704 160094208 165183488 177604512 197723452 206882304 213458944 229510056 236806016 247775232 275843072 296585178 306013408 320188416 330366976 355209024 395446904 413764608 426917888 459020112 473612032 495550464 551686144 593170356 612026816 640376832 660733952 678967249 710418048 790893808 827529216 853835776 918040224 947224064 991100928 1103372288 1186340712 1224053632 1280753664 1357934498 1420836096 1581787616 1655058432 1707671552 1836080448 1894448128 1982201856 2036901747 2206744576 2372681424 2448107264 2561507328 2715868996 2841672192 3163575232 3310116864 3415343104 3509591273 3672160896 3788896256 4073803494 4413489152 4745362848 4896214528 5123014656 5431737992 5683344384 6327150464 6620233728 7019182546 7344321792 7577792512 8147606988 8826978304 9490725696 9792429056 10246029312 10528773819 10863475984 11366688768 12654300928 13240467456 14038365092 14688643584 15155585024 16295213976 17653956608 18981451392 19584858112 21057547638 21726951968 22733377536 25308601856 26480934912 28076730184 29377287168 30311170048 32590427952 37962902784 39169716224 42115095276 43453903936 45466755072 50617203712 52961869824 56153460368 58754574336 60622340096 65180855904 75925805568 78339432448 84230190552 86907807872 90933510144 101234407424 112306920736 117509148672 121244680192 130361711808 151851611136 156678864896 168460381104 173815615744 181867020288 202468814848 224613841472 235018297344 242489360384 249180980383 260723423616 303703222272 313357729792 336920762208 347631231488 363734040576 404937629696 449227682944 470036594688 498361960766 521446847232 607406444544 626715459584 673841524416 695262462976 727468081152 747542941149 809875259392 898455365888 940073189376 996723921532 1042893694464 1214812889088 1253430919168 1347683048832 1390524925952 1495085882298 1619750518784 1796910731776 1880146378752 1993447843064 2085787388928 2429625778176 2695366097664 2781049851904 2990171764596 3239501037568 3593821463552 3760292757504 3986895686128 4171574777856 4859251556352 5390732195328 5562099703808 5980343529192 6479002075136 7187642927104 7973791372256 8343149555712 9718503112704 10781464390656 11124199407616 11960687058384 14375285854208 15947582744512 16686299111424 19437006225408 21562928781312 22248398815232 23921374116768 28750571708416 31895165489024 33372598222848 43125857562624 44496797630464 47842748233536 57501143416832 63790330978048 66745196445696 86251715125248 88993595260928 95685496467072 115002286833664 127580661956096 133490392891392 172503430250496 191370992934144 230004573667328 255161323912192 266980785782784 345006860500992 382741985868288 460009147334656 510322647824384 690013721001984 765483971736576 1020645295648768 1380027442003968 1530967943473152 2041290591297536 3061935886946304 4082581182595072 6123871773892608 8165162365190144 12247743547785216 16330324730380288 24495487095570432 32660649460760576 48990974191140864 97981948382281728
• Sum of all divisors σ(n): 265740177584085120
• Sum of proper divisors (its aliquot sum) s(n): 167758229201803392
• 97981948382281728 is an abundant number, because the sum of its proper divisors (167758229201803392) is greater than itself. Its abundance is 69776280819521664

Bases of 97981948382281728

• Binary: 101011100000110100001000000011011101110100000000000000000₂
• Hexadecimal: 0x15C1A101BBA0000
• Base-36: QSRP9ONVE2O

Squares and roots of 97981948382281728

• 97981948382281728 squared (97981948382281728²) is 9600462208788120934631607562665984
• 97981948382281728 cubed (97981948382281728³) is 940671992587524091209005228125491168130652650340352
• The square root of 97981948382281728 is 313020683.6333371245
• The cube root of 97981948382281728 is 461015.3193609289

Scales and comparisons

• 97,981,948,382,281,728 seconds is equal to 3,115,522,880 years, 25 weeks, 3 days, 15 hours, 8 minutes, 48 seconds.
• To count from 1 to 97,981,948,382,281,728 would take you about nine billion, three hundred forty-six million, five hundred sixty-eight thousand, six hundred forty-one 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 97981948382281728 cubic inches would be around 38417.9 feet tall.

Recreational maths with 97981948382281728

• 97981948382281728 backwards is 82718228384918979
• 97981948382281728 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 97981948382281728's digits is 96
• More coming soon!