98274938909097984

Names of 98274938909097984

• Cardinal: 98274938909097984 can be written as Ninety-eight quadrillion, two hundred seventy-four trillion, nine hundred thirty-eight billion, nine hundred nine million, ninety-seven thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 9.8274938909097984 × 10¹⁶

Factors of 98274938909097984

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 32
• Sum of prime factors: 297

Divisors of 98274938909097984

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 281 352 384 512 528 562 704 768 843 1024 1056 1124 1408 1536 1686 2048 2112 2248 2816 3072 3091 3372 4096 4224 4496 5632 6144 6182 6744 8192 8448 8992 9273 11264 12288 12364 13488 16384 16896 17984 18546 22528 24576 24728 26976 32768 33792 35968 37092 45056 49152 49456 53952 65536 67584 71936 74184 78961 90112 98304 98912 107904 131072 135168 143872 148368 157922 180224 196608 197824 215808 236883 262144 270336 287744 296736 315844 360448 393216 395648 431616 473766 524288 540672 575488 593472 631688 720896 786432 791296 863232 868571 947532 1048576 1081344 1150976 1186944 1263376 1441792 1572864 1582592 1726464 1737142 1895064 2097152 2162688 2301952 2373888 2526752 2605713 2883584 3145728 3165184 3452928 3474284 3790128 4194304 4325376 4603904 4747776 5053504 5211426 5767168 6291456 6330368 6905856 6948568 7580256 8388608 8650752 9207808 9495552 10107008 10422852 11534336 12582912 12660736 13811712 13897136 15160512 16777216 17301504 18415616 18991104 20214016 20845704 22188041 23068672 25165824 25321472 27623424 27794272 30321024 33554432 34603008 36831232 37982208 40428032 41691408 44376082 46137344 50331648 50642944 55246848 55588544 60642048 66564123 67108864 69206016 73662464 75964416 80856064 83382816 88752164 92274688 100663296 101285888 110493696 111177088 121284096 133128246 134217728 138412032 147324928 151928832 161712128 166765632 177504328 184549376 201326592 202571776 220987392 222354176 242568192 244068451 266256492 276824064 294649856 303857664 323424256 333531264 355008656 369098752 402653184 405143552 441974784 444708352 485136384 488136902 532512984 553648128 589299712 607715328 646848512 667062528 710017312 732205353 738197504 810287104 883949568 889416704 970272768 976273804 1065025968 1107296256 1178599424 1215430656 1293697024 1334125056 1420034624 1464410706 1476395008 1620574208 1767899136 1778833408 1940545536 1952547608 2130051936 2214592512 2357198848 2430861312 2587394048 2668250112 2840069248 2928821412 3241148416 3535798272 3557666816 3881091072 3905095216 4260103872 4429185024 4714397696 4861722624 5174788096 5336500224 5680138496 5857642824 6482296832 7071596544 7115333632 7762182144 7810190432 8520207744 9428795392 9723445248 10349576192 10673000448 11360276992 11715285648 12964593664 14143193088 14230667264 15524364288 15620380864 17040415488 18857590784 19446890496 20699152384 21346000896 22720553984 23430571296 25929187328 28286386176 28461334528 31048728576 31240761728 34080830976 37715181568 38893780992 41398304768 42692001792 45441107968 46861142592 51858374656 56572772352 56922669056 62097457152 62481523456 68161661952 77787561984 82796609536 85384003584 90882215936 93722285184 103716749312 113145544704 113845338112 124194914304 124963046912 136323323904 155575123968 165593219072 170768007168 181764431872 187444570368 207433498624 227690676224 248389828608 249926093824 272646647808 311150247936 331186438144 341536014336 363528863744 374889140736 414866997248 455381352448 496779657216 499852187648 545293295616 622300495872 662372876288 683072028672 727057727488 749778281472 910762704896 993559314432 999704375296 1090586591232 1244600991744 1324745752576 1366144057344 1454115454976 1499556562944 1821525409792 1987118628864 1999408750592 2181173182464 2649491505152 2732288114688 2908230909952 2999113125888 3643050819584 3974237257728 3998817501184 4362346364928 5298983010304 5464576229376 5816461819904 5998226251776 7286101639168 7948474515456 7997635002368 8724692729856 10597966020608 10929152458752 11632923639808 11996452503552 14572203278336 15896949030912 15995270004736 17449385459712 21858304917504 23265847279616 23992905007104 29144406556672 31793898061824 31990540009472 34898770919424 43716609835008 46531694559232 47985810014208 58288813113344 63981080018944 69797541838848 87433219670016 93063389118464 95971620028416 116577626226688 127962160037888 139595083677696 174866439340032 186126778236928 191943240056832 255924320075776 279190167355392 349732878680064 372253556473856 383886480113664 511848640151552 558380334710784 744507112947712 767772960227328 1023697280303104 1116760669421568 1489014225895424 1535545920454656 2047394560606208 2233521338843136 2978028451790848 3071091840909312 4094789121212416 4467042677686272 6142183681818624 8189578242424832 8934085355372544 12284367363637248 16379156484849664 24568734727274496 32758312969699328 49137469454548992 98274938909097984
• Sum of all divisors σ(n): 286911768583402560
• Sum of proper divisors (its aliquot sum) s(n): 188636829674304576
• 98274938909097984 is an abundant number, because the sum of its proper divisors (188636829674304576) is greater than itself. Its abundance is 90361890765206592

Bases of 98274938909097984

• Binary: 101011101001001001000100101001000000000000000000000000000₂
• Hexadecimal: 0x15D248948000000
• Base-36: QVNK3OAQWAO

Squares and roots of 98274938909097984

• 98274938909097984 squared (98274938909097984²) is 9657963617586940853509128512864256
• 98274938909097984 cubed (98274938909097984³) is 949135784504647576281911561688155017457941195259904
• The square root of 98274938909097984 is 313488339.3510801447
• The cube root of 98274938909097984 is 461474.3791251595

Scales and comparisons

• 98,274,938,909,097,984 seconds is equal to 3,124,839,072 years, 50 weeks, 1 day, 6 minutes, 24 seconds.
• To count from 1 to 98,274,938,909,097,984 would take you about nine billion, three hundred seventy-four million, five hundred seventeen thousand, two hundred eighteen 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 98274938909097984 cubic inches would be around 38456.2 feet tall.

Recreational maths with 98274938909097984

• 98274938909097984 backwards is 48979090983947289
• The number of decimal digits it has is: 17
• The sum of 98274938909097984's digits is 105
• More coming soon!