107982481089022400
107,982,481,089,022,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 107982481089022400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 252 divisors.
107982481089022400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 107982481089022400:
26 × 52 × 72 × 19 × 72490924469
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 19 × 72490924469)See below for interesting mathematical facts about the number 107982481089022400 from the Numbermatics database.
Names of 107982481089022400
- Cardinal: 107982481089022400 can be written as One hundred seven quadrillion, nine hundred eighty-two trillion, four hundred eighty-one billion, eighty-nine million, twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.079824810890224 × 1017
Factors of 107982481089022400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 72490924502
Divisors of 107982481089022400
- Number of divisors d(n): 252
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 49 50 56 64 70 76 80 95 98 100 112 133 140 152 160 175 190 196 200 224 245 266 280 304 320 350 380 392 400 448 475 490 532 560 608 665 700 760 784 800 931 950 980 1064 1120 1216 1225 1330 1400 1520 1568 1600 1862 1900 1960 2128 2240 2450 2660 2800 3040 3136 3325 3724 3800 3920 4256 4655 4900 5320 5600 6080 6650 7448 7600 7840 8512 9310 9800 10640 11200 13300 14896 15200 15680 18620 19600 21280 23275 26600 29792 30400 37240 39200 42560 46550 53200 59584 74480 78400 93100 106400 148960 186200 212800 297920 372400 744800 1489600 72490924469 144981848938 289963697876 362454622345 507436471283 579927395752 724909244690 1014872942566 1159854791504 1377327564911 1449818489380 1812273111725 2029745885132 2319709583008 2537182356415 2754655129822 2899636978760 3552055298981 3624546223450 4059491770264 4639419166016 5074364712830 5509310259644 5799273957520 6886637824555 7104110597962 7249092446900 8118983540528 9641292954377 10148729425660 11018620519288 11598547915040 12685911782075 13773275649110 14208221195924 14498184893800 16237967081056 17760276494905 19282585908754 20297458851320 22037241038576 23197095830080 25371823564150 27546551298220 28416442391848 28996369787600 32475934162112 34433189122775 35520552989810 38565171817508 40594917702640 44074482077152 48206464771885 50743647128300 55093102596440 56832884783696 57992739575200 67489050680639 68866378245550 71041105979620 77130343635016 81189835405280 88148964154304 88801382474525 96412929543770 101487294256600 110186205192880 113665769567392 115985479150400 134978101361278 137732756491100 142082211959240 154260687270032 162379670810560 177602764949050 192825859087540 202974588513200 220372410385760 227331539134784 241032323859425 269956202722556 275465512982200 284164423918480 308521374540064 337445253403195 355205529898100 385651718175080 405949177026400 440744820771520 482064647718850 539912405445112 550931025964400 568328847836960 617042749080128 674890506806390 710411059796200 771303436350160 811898354052800 964129295437700 1079824810890224 1101862051928800 1136657695673920 1349781013612780 1420822119592400 1542606872700320 1687226267015975 1928258590875400 2159649621780448 2203724103857600 2699562027225560 2841644239184800 3085213745400640 3374452534031950 3856517181750800 4319299243560896 5399124054451120 5683288478369600 6748905068063900 7713034363501600 10798248108902240 13497810136127800 15426068727003200 21596496217804480 26995620272255600 53991240544511200 107982481089022400
- Sum of all divisors σ(n): 325352317387764600
- Sum of proper divisors (its aliquot sum) s(n): 217369836298742200
- 107982481089022400 is an abundant number, because the sum of its proper divisors (217369836298742200) is greater than itself. Its abundance is 109387355209719800
Bases of 107982481089022400
- Binary: 1011111111010000101111110100100110100011011001001110000002
- Hexadecimal: 0x17FA17E9346C9C0
- Base-36: TJ8LEZJD1VK
Squares and roots of 107982481089022400
- 107982481089022400 squared (1079824810890224002) is 11660216222141080241073787701760000
- 107982481089022400 cubed (1079824810890224003) is 1259099077701261409065157801756300024861159424000000
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The
square root of 107982481089022400 is 328606879.2478672381 -
The
cube root of 107982481089022400 is 476194.5646260781
Scales and comparisons
How big is 107982481089022400?- 107,982,481,089,022,400 seconds is equal to 3,433,508,886 years, 46 weeks, 15 hours, 33 minutes, 20 seconds.
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To count from 1 to 107,982,481,089,022,400 would take you about ten billion, three hundred million, five hundred twenty-six thousand, six hundred sixty 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 107982481089022400 cubic inches would be around 39682.9 feet tall.
Recreational maths with 107982481089022400
- 107982481089022400 backwards is 004220980184289701
- The number of decimal digits it has is: 18
- The sum of 107982481089022400's digits is 65
- More coming soon!
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