4444090663168
4,444,090,663,168 is an even composite number composed of six prime numbers multiplied together.
What does the number 4444090663168 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
4444090663168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 4444090663168:
28 × 13 × 31 × 37 × 79 × 14737
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 31 × 37 × 79 × 14737)See below for interesting mathematical facts about the number 4444090663168 from the Numbermatics database.
Names of 4444090663168
- Cardinal: 4444090663168 can be written as Four trillion, four hundred forty-four billion, ninety million, six hundred sixty-three thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 4.444090663168 × 1012
Factors of 4444090663168
Divisors of 4444090663168
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 8 13 16 26 31 32 37 52 62 64 74 79 104 124 128 148 158 208 248 256 296 316 403 416 481 496 592 632 806 832 962 992 1027 1147 1184 1264 1612 1664 1924 1984 2054 2294 2368 2449 2528 2923 3224 3328 3848 3968 4108 4588 4736 4898 5056 5846 6448 7696 7936 8216 9176 9472 9796 10112 11692 12896 14737 14911 15392 16432 18352 19592 20224 23384 25792 29474 29822 30784 31837 32864 36704 37999 39184 46768 51584 58948 59644 61568 63674 65728 73408 75998 78368 90613 93536 103168 117896 119288 123136 127348 131456 146816 151996 156736 181226 187072 191581 235792 238576 254696 262912 293632 303992 313472 362452 374144 383162 456847 471584 477152 509392 545269 607984 626944 724904 748288 766324 913694 943168 954304 1018784 1090538 1164223 1177969 1215968 1449808 1532648 1827388 1886336 1908608 2037568 2181076 2328446 2355938 2431936 2899616 3065296 3654776 3772672 3817216 4075136 4362152 4656892 4711876 4863872 5799232 5939011 6130592 7088497 7309552 8150272 8724304 9313784 9423752 9727744 11598464 11878022 12261184 14176994 14619104 15134899 16903339 17448608 18627568 18847504 23196928 23756044 24522368 28353988 29238208 30269798 33806678 34897216 36090913 37255136 37695008 43076251 47512088 49044736 56707976 58476416 60539596 67613356 69794432 72181826 74510272 75390016 86152502 95024176 113415952 116952832 121079192 135226712 139588864 144363652 149020544 150780032 172305004 190048352 219743407 226831904 242158384 270453424 288727304 298041088 301560064 344610008 380096704 439486814 453663808 469181869 484316768 540906848 559991263 577454608 689220016 760193408 878973628 907327616 938363738 968633536 1081813696 1119982526 1154909216 1335363781 1378440032 1520386816 1757947256 1814655232 1876727476 1937267072 2163627392 2239965052 2309818432 2670727562 2756880064 3515894512 3753454952 3874534144 4327254784 4479930104 4619636864 5341455124 5513760128 7031789024 7506909904 8959860208 9239273728 10682910248 11027520256 14063578048 15013819808 17359729153 17919720416 21365820496 28127156096 30027639616 34719458306 35839440832 42731640992 56254312192 60055279232 69438916612 71678881664 85463281984 120110558464 138877833224 143357763328 170926563968 277755666448 341853127936 555511332896 1111022665792 2222045331584 4444090663168
- Sum of all divisors σ(n): 10256780226560
- Sum of proper divisors (its aliquot sum) s(n): 5812689563392
- 4444090663168 is an abundant number, because the sum of its proper divisors (5812689563392) is greater than itself. Its abundance is 1368598900224
Bases of 4444090663168
- Binary: 10000001010101110000111001000000001000000002
- Hexadecimal: 0x40AB8720100
- Base-36: 1KPL4U5TS
Squares and roots of 4444090663168
- 4444090663168 squared (44440906631682) is 19749941822456994031796224
- 4444090663168 cubed (44440906631683) is 87770532051292321121925099194398277632
-
The
square root of 4444090663168 is 2108101.1985120639 -
The
cube root of 4444090663168 is 16440.9775674663
Scales and comparisons
How big is 4444090663168?- 4,444,090,663,168 seconds is equal to 141,308 years, 17 weeks, 3 days, 12 hours, 39 minutes, 28 seconds.
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To count from 1 to 4,444,090,663,168 would take you about three hundred fifty-three thousand, two hundred seventy 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 4444090663168 cubic inches would be around 1370.1 feet tall.
Recreational maths with 4444090663168
- 4444090663168 backwards is 8613660904444
- The number of decimal digits it has is: 13
- The sum of 4444090663168's digits is 55
- More coming soon!
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