9801128403225600
9,801,128,403,225,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 9801128403225600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 264 divisors.
9801128403225600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 9801128403225600:
210 × 3 × 52 × 7 × 18231265631
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 18231265631)See below for interesting mathematical facts about the number 9801128403225600 from the Numbermatics database.
Names of 9801128403225600
- Cardinal: 9801128403225600 can be written as Nine quadrillion, eight hundred one trillion, one hundred twenty-eight billion, four hundred three million, two hundred twenty-five thousand, six hundred.
Scientific notation
- Scientific notation: 9.8011284032256 × 1015
Factors of 9801128403225600
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 18231265648
Divisors of 9801128403225600
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 128 140 150 160 168 175 192 200 210 224 240 256 280 300 320 336 350 384 400 420 448 480 512 525 560 600 640 672 700 768 800 840 896 960 1024 1050 1120 1200 1280 1344 1400 1536 1600 1680 1792 1920 2100 2240 2400 2560 2688 2800 3072 3200 3360 3584 3840 4200 4480 4800 5120 5376 5600 6400 6720 7168 7680 8400 8960 9600 10752 11200 12800 13440 15360 16800 17920 19200 21504 22400 25600 26880 33600 35840 38400 44800 53760 67200 76800 89600 107520 134400 179200 268800 537600 18231265631 36462531262 54693796893 72925062524 91156328155 109387593786 127618859417 145850125048 182312656310 218775187572 255237718834 273468984465 291700250096 364625312620 382856578251 437550375144 455781640775 510475437668 546937968930 583400500192 638094297085 729250625240 765713156502 875100750288 911563281550 1020950875336 1093875937860 1166801000384 1276188594170 1367344922325 1458501250480 1531426313004 1750201500576 1823126563100 1914282891255 2041901750672 2187751875720 2333602000768 2552377188340 2734689844650 2917002500960 3062852626008 3190471485425 3500403001152 3646253126200 3828565782510 4083803501344 4375503751440 4667204001536 5104754376680 5469379689300 5834005001920 6125705252016 6380942970850 7000806002304 7292506252400 7657131565020 8167607002688 8751007502880 9334408003072 9571414456275 10209508753360 10938759378600 11668010003840 12251410504032 12761885941700 14001612004608 14585012504800 15314263130040 16335214005376 17502015005760 18668816006144 19142828912550 20419017506720 21877518757200 23336020007680 24502821008064 25523771883400 28003224009216 29170025009600 30628526260080 32670428010752 35004030011520 38285657825100 40838035013440 43755037514400 46672040015360 49005642016128 51047543766800 56006448018432 58340050019200 61257052520160 65340856021504 70008060023040 76571315650200 81676070026880 87510075028800 93344080030720 98011284032256 102095087533600 116680100038400 122514105040320 130681712043008 140016120046080 153142631300400 163352140053760 175020150057600 196022568064512 204190175067200 233360200076800 245028210080640 280032240092160 306285262600800 326704280107520 350040300115200 392045136129024 408380350134400 466720400153600 490056420161280 612570525201600 653408560215040 700080600230400 816760700268800 980112840322560 1225141050403200 1400161200460800 1633521400537600 1960225680645120 2450282100806400 3267042801075200 4900564201612800 9801128403225600
- Sum of all divisors σ(n): 37020845542714368
- Sum of proper divisors (its aliquot sum) s(n): 27219717139488768
- 9801128403225600 is an abundant number, because the sum of its proper divisors (27219717139488768) is greater than itself. Its abundance is 17418588736263168
Bases of 9801128403225600
- Binary: 1000101101001000010011000010001101111101001100000000002
- Hexadecimal: 0x22D21308DF4C00
- Base-36: 2OI7K89N6YO
Squares and roots of 9801128403225600
- 9801128403225600 squared (98011284032256002) is 96062117976515599544484495360000
- 9801128403225600 cubed (98011284032256003) is 941517152973635543483522768723253412233216000000
-
The
square root of 9801128403225600 is 99000648.4990153991 -
The
cube root of 9801128403225600 is 214005.7092489817
Scales and comparisons
How big is 9801128403225600?- 9,801,128,403,225,600 seconds is equal to 311,645,566 years, 17 weeks, 5 days, 10 hours, 40 minutes.
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To count from 1 to 9,801,128,403,225,600 would take you about nine hundred thirty-four million, nine hundred thirty-six thousand, six hundred ninety-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 9801128403225600 cubic inches would be around 17833.8 feet tall.
Recreational maths with 9801128403225600
- 9801128403225600 backwards is 0065223048211089
- The number of decimal digits it has is: 16
- The sum of 9801128403225600's digits is 51
- More coming soon!
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