72016823456428032
72,016,823,456,428,032 is an even composite number composed of five prime numbers multiplied together.
72016823456428032 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twelve divisors.
Prime factorization of 72016823456428032:
212 × 32 × 7 × 13 × 21467927093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 21467927093)See below for interesting mathematical facts about the number 72016823456428032 from the Numbermatics database.
Names of 72016823456428032
- Cardinal: 72016823456428032 can be written as Seventy-two quadrillion, sixteen trillion, eight hundred twenty-three billion, four hundred fifty-six million, four hundred twenty-eight thousand and thirty-two.
Scientific notation
- Scientific notation: 7.2016823456428032 × 1016
Factors of 72016823456428032
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 21467927118
Divisors of 72016823456428032
- Number of divisors d(n): 312
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 104 112 117 126 128 144 156 168 182 192 208 224 234 252 256 273 288 312 336 364 384 416 448 468 504 512 546 576 624 672 728 768 819 832 896 936 1008 1024 1092 1152 1248 1344 1456 1536 1638 1664 1792 1872 2016 2048 2184 2304 2496 2688 2912 3072 3276 3328 3584 3744 4032 4096 4368 4608 4992 5376 5824 6144 6552 6656 7168 7488 8064 8736 9216 9984 10752 11648 12288 13104 13312 14336 14976 16128 17472 18432 19968 21504 23296 26208 26624 28672 29952 32256 34944 36864 39936 43008 46592 52416 53248 59904 64512 69888 79872 86016 93184 104832 119808 129024 139776 159744 186368 209664 239616 258048 279552 372736 419328 479232 559104 838656 1118208 1677312 3354624 21467927093 42935854186 64403781279 85871708372 128807562558 150275489651 171743416744 193211343837 257615125116 279083052209 300550979302 343486833488 386422687674 450826468953 515230250232 558166104418 601101958604 686973666976 772845375348 837249156627 901652937906 1030460500464 1116332208836 1202203917208 1352479406859 1373947333952 1545690750696 1674498313254 1803305875812 1953581365463 2060921000928 2232664417672 2404407834416 2511747469881 2704958813718 2747894667904 3091381501392 3348996626508 3606611751624 3907162730926 4121842001856 4465328835344 4808815668832 5023494939762 5409917627436 5495789335808 5860744096389 6182763002784 6697993253016 7213223503248 7814325461852 8243684003712 8930657670688 9617631337664 10046989879524 10819835254872 10991578671616 11721488192778 12365526005568 13395986506032 14426447006496 15628650923704 16487368007424 17582232289167 17861315341376 19235262675328 20093979759048 21639670509744 21983157343232 23442976385556 24731052011136 26791973012064 28852894012992 31257301847408 32974736014848 35164464578334 35722630682752 38470525350656 40187959518096 43279341019488 43966314686464 46885952771112 49462104022272 53583946024128 57705788025984 62514603694816 65949472029696 70328929156668 71445261365504 76941050701312 80375919036192 86558682038976 87932629372928 93771905542224 98924208044544 107167892048256 115411576051968 125029207389632 131898944059392 140657858313336 142890522731008 153882101402624 160751838072384 173117364077952 187543811084448 197848416089088 214335784096512 230823152103936 250058414779264 263797888118784 281315716626672 285781045462016 307764202805248 321503676144768 346234728155904 375087622168896 395696832178176 428671568193024 461646304207872 500116829558528 562631433253344 571562090924032 615528405610496 643007352289536 692469456311808 750175244337792 791393664356352 857343136386048 923292608415744 1000233659117056 1125262866506688 1143124181848064 1286014704579072 1384938912623616 1500350488675584 1714686272772096 1846585216831488 2000467318234112 2250525733013376 2572029409158144 2769877825247232 3000700977351168 3429372545544192 4000934636468224 4501051466026752 5144058818316288 5539755650494464 6001401954702336 8001869272936448 9002102932053504 10288117636632576 12002803909404672 18004205864107008 24005607818809344 36008411728214016 72016823456428032
- Sum of all divisors σ(n): 256028559444045024
- Sum of proper divisors (its aliquot sum) s(n): 184011735987616992
- 72016823456428032 is an abundant number, because the sum of its proper divisors (184011735987616992) is greater than itself. Its abundance is 111994912531188960
Bases of 72016823456428032
- Binary: 111111111101101011101011010110111111100011110000000000002
- Hexadecimal: 0xFFDAEB5BF8F000
- Base-36: JP3TZYQOE80
Squares and roots of 72016823456428032
- 72016823456428032 squared (720168234564280322) is 5186422860754322793891220395393024
- 72016823456428032 cubed (720168234564280323) is 373509699533326490586435088777520771990251810848768
-
The
square root of 72016823456428032 is 268359504.1291215981 -
The
cube root of 72016823456428032 is 416049.1641236645
Scales and comparisons
How big is 72016823456428032?- 72,016,823,456,428,032 seconds is equal to 2,289,912,223 years, 13 weeks, 1 day, 5 hours, 7 minutes, 12 seconds.
-
To count from 1 to 72,016,823,456,428,032 would take you about six billion, eight hundred sixty-nine million, seven hundred thirty-six thousand, six hundred sixty-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 72016823456428032 cubic inches would be around 34670.8 feet tall.
Recreational maths with 72016823456428032
- 72016823456428032 backwards is 23082465432861027
- 72016823456428032 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 72016823456428032's digits is 63
- More coming soon!
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