329126401893120
329,126,401,893,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 329126401893120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
329126401893120 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 329126401893120:
28 × 3 × 5 × 13 × 15307 × 430723
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 15307 × 430723)See below for interesting mathematical facts about the number 329126401893120 from the Numbermatics database.
Names of 329126401893120
- Cardinal: 329126401893120 can be written as Three hundred twenty-nine trillion, one hundred twenty-six billion, four hundred one million, eight hundred ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.2912640189312 × 1014
Factors of 329126401893120
Divisors of 329126401893120
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 15307 16640 24960 30614 45921 49920 61228 76535 91842 122456 153070 183684 198991 229605 244912 306140 367368 397982 430723 459210 489824 596973 612280 734736 795964 861446 918420 979648 994955 1193946 1224560 1292169 1469472 1591928 1722892 1836840 1959296 1989910 2153615 2387892 2449120 2584338 2938944 2984865 3183856 3445784 3673680 3918592 3979820 4307230 4775784 4898240 5168676 5599399 5877888 5969730 6367712 6460845 6891568 7347360 7959640 8614460 9551568 9796480 10337352 11198798 11755776 11939460 12735424 12921690 13783136 14694720 15919280 16798197 17228920 19103136 19592960 20674704 22397596 23878920 25470848 25843380 27566272 27996995 29389440 31838560 33596394 34457840 38206272 41349408 44795192 47757840 50941696 51686760 55132544 55993990 58778880 63677120 67192788 68915680 76412544 82698816 83990985 89590384 95515680 103373520 110265088 111987980 127354240 134385576 137831360 152825088 165397632 167981970 179180768 191031360 206747040 223975960 254708480 268771152 275662720 330795264 335963940 358361536 382062720 413494080 447951920 537542304 551325440 671927880 716723072 764125440 826988160 895903840 1075084608 1343855760 1433446144 1653976320 1791807680 2150169216 2687711520 3583615360 4300338432 5375423040 6593076961 7167230720 10750846080 13186153922 19779230883 21501692160 26372307844 32965384805 39558461766 52744615688 65930769610 79116923532 85710000493 98896154415 105489231376 131861539220 158233847064 171420000986 197792308830 210978462752 257130001479 263723078440 316467694128 342840001972 395584617660 421956925504 428550002465 514260002958 527446156880 632935388256 685680003944 791169235320 843913851008 857100004930 1028520005916 1054892313760 1265870776512 1285650007395 1371360007888 1582338470640 1687827702016 1714200009860 2057040011832 2109784627520 2531741553024 2571300014790 2742720015776 3164676941280 3428400019720 4114080023664 4219569255040 5063483106048 5142600029580 5485440031552 6329353882560 6856800039440 8228160047328 8439138510080 10285200059160 10970880063104 12658707765120 13713600078880 16456320094656 20570400118320 21941760126208 25317415530240 27427200157760 32912640189312 41140800236640 54854400315520 65825280378624 82281600473280 109708800631040 164563200946560 329126401893120
- Sum of all divisors σ(n): 1132081523634432
- Sum of proper divisors (its aliquot sum) s(n): 802955121741312
- 329126401893120 is an abundant number, because the sum of its proper divisors (802955121741312) is greater than itself. Its abundance is 473828719848192
Bases of 329126401893120
- Binary: 10010101101010110101101100100010101100011000000002
- Hexadecimal: 0x12B56B6456300
- Base-36: 38NYKXW8AO
Squares and roots of 329126401893120
- 329126401893120 squared (3291264018931202) is 108324188423111544319903334400
- 329126401893120 cubed (3291264018931203) is 35652350373691066968011159581963560419328000
-
The
square root of 329126401893120 is 18141841.1935812071 -
The
cube root of 329126401893120 is 69043.1992938075
Scales and comparisons
How big is 329126401893120?- 329,126,401,893,120 seconds is equal to 10,465,201 years, 27 weeks, 2 days, 5 hours, 52 minutes.
-
To count from 1 to 329,126,401,893,120 would take you about twenty-six million, one hundred sixty-three thousand and three 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 329126401893120 cubic inches would be around 5753.6 feet tall.
Recreational maths with 329126401893120
- 329126401893120 backwards is 021398104621923
- The number of decimal digits it has is: 15
- The sum of 329126401893120's digits is 51
- More coming soon!
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