13072257093078400
13,072,257,093,078,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 13072257093078400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
13072257093078400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13072257093078400:
27 × 52 × 72 × 43 × 1938813641
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 43 × 1938813641)See below for interesting mathematical facts about the number 13072257093078400 from the Numbermatics database.
Names of 13072257093078400
- Cardinal: 13072257093078400 can be written as Thirteen quadrillion, seventy-two trillion, two hundred fifty-seven billion, ninety-three million, seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.30722570930784 × 1016
Factors of 13072257093078400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 1938813698
Divisors of 13072257093078400
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 43 49 50 56 64 70 80 86 98 100 112 128 140 160 172 175 196 200 215 224 245 280 301 320 344 350 392 400 430 448 490 560 602 640 688 700 784 800 860 896 980 1075 1120 1204 1225 1376 1400 1505 1568 1600 1720 1960 2107 2150 2240 2408 2450 2752 2800 3010 3136 3200 3440 3920 4214 4300 4480 4816 4900 5504 5600 6020 6272 6880 7525 7840 8428 8600 9632 9800 10535 11200 12040 13760 15050 15680 16856 17200 19264 19600 21070 22400 24080 27520 30100 31360 33712 34400 38528 39200 42140 48160 52675 60200 67424 68800 78400 84280 96320 105350 120400 134848 137600 156800 168560 192640 210700 240800 269696 337120 421400 481600 674240 842800 963200 1348480 1685600 3371200 6742400 1938813641 3877627282 7755254564 9694068205 13571695487 15510509128 19388136410 27143390974 31021018256 38776272820 48470341025 54286781948 62042036512 67858477435 77552545640 83368986563 95001868409 96940682050 108573563896 124084073024 135716954870 155105091280 166737973126 190003736818 193881364100 217147127792 248168146048 271433909740 310210182560 333475946252 339292387175 380007473636 387762728200 416844932815 434294255584 475009342045 542867819480 583582905941 620420365120 666951892504 678584774350 760014947272 775525456400 833689865630 868588511168 950018684090 1085735638960 1167165811882 1240840730240 1333903785008 1357169548700 1520029894544 1551050912800 1667379731260 1737177022336 1900037368180 2084224664075 2171471277920 2334331623764 2375046710225 2667807570016 2714339097400 2917914529705 3040059789088 3102101825600 3334759462520 3800074736360 4085080341587 4168449328150 4342942555840 4668663247528 4750093420450 5335615140032 5428678194800 5835829059410 6080119578176 6204203651200 6669518925040 7600149472720 8170160683174 8336898656300 8685885111680 9337326495056 9500186840900 10671230280064 10857356389600 11671658118820 12160239156352 13339037850080 14589572648525 15200298945440 16340321366348 16673797312600 18674652990112 19000373681800 20425401707935 21714712779200 23343316237640 26678075700160 29179145297050 30400597890880 32680642732696 33347594625200 37349305980224 38000747363600 40850803415870 43429425558400 46686632475280 53356151400320 58358290594100 60801195781760 65361285465392 66695189250400 74698611960448 76001494727200 81701606831740 93373264950560 102127008539675 116716581188200 130722570930784 133390378500800 152002989454400 163403213663480 186746529901120 204254017079350 233433162376400 261445141861568 266780757001600 304005978908800 326806427326960 373493059802240 408508034158700 466866324752800 522890283723136 653612854653920 817016068317400 933732649505600 1307225709307840 1634032136634800 1867465299011200 2614451418615680 3268064273269600 6536128546539200 13072257093078400
- Sum of all divisors σ(n): 38438415174745080
- Sum of proper divisors (its aliquot sum) s(n): 25366158081666680
- 13072257093078400 is an abundant number, because the sum of its proper divisors (25366158081666680) is greater than itself. Its abundance is 12293900988588280
Bases of 13072257093078400
- Binary: 1011100111000100100110000010000111001000001101100000002
- Hexadecimal: 0x2E712608720D80
- Base-36: 3KPQ805JJB4
Squares and roots of 13072257093078400
- 13072257093078400 squared (130722570930784002) is 170883905507538540561188546560000
- 13072257093078400 cubed (130722570930784003) is 2233838345863859750013656199859317932130304000000
-
The
square root of 13072257093078400 is 114333971.7366557681 -
The
cube root of 13072257093078400 is 235568.3067083631
Scales and comparisons
How big is 13072257093078400?- 13,072,257,093,078,400 seconds is equal to 415,657,340 years, 21 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
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To count from 1 to 13,072,257,093,078,400 would take you about one billion, two hundred forty-six million, nine hundred seventy-two thousand and twenty-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 13072257093078400 cubic inches would be around 19630.7 feet tall.
Recreational maths with 13072257093078400
- 13072257093078400 backwards is 00487039075227031
- The number of decimal digits it has is: 17
- The sum of 13072257093078400's digits is 58
- More coming soon!
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