968398709409040000
968,398,709,409,040,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 968398709409040000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1920 divisors.
968398709409040000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 968398709409040000:
27 × 54 × 7 × 135 × 1673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 13 × 13 × 13 × 13 × 13 × 167 × 167 × 167)See below for interesting mathematical facts about the number 968398709409040000 from the Numbermatics database.
Names of 968398709409040000
- Cardinal: 968398709409040000 can be written as Nine hundred sixty-eight quadrillion, three hundred ninety-eight trillion, seven hundred nine billion, four hundred nine million, forty thousand.
Scientific notation
- Scientific notation: 9.6839870940904 × 1017
Factors of 968398709409040000
Divisors of 968398709409040000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 64 65 70 80 91 100 104 112 125 128 130 140 160 167 169 175 182 200 208 224 250 260 280 320 325 334 338 350 364 400 416 448 455 500 520 560 625 640 650 668 676 700 728 800 832 835 845 875 896 910 1000 1040 1120 1169 1183 1250 1300 1336 1352 1400 1456 1600 1625 1664 1670 1690 1750 1820 2000 2080 2171 2197 2240 2275 2338 2366 2500 2600 2672 2704 2800 2912 3200 3250 3340 3380 3500 3640 4000 4160 4175 4225 4342 4375 4394 4480 4550 4676 4732 5000 5200 5344 5408 5600 5824 5845 5915 6500 6680 6760 7000 7280 8000 8125 8320 8350 8450 8684 8750 8788 9100 9352 9464 10000 10400 10688 10816 10855 10985 11200 11375 11648 11690 11830 13000 13360 13520 14000 14560 15197 15379 16000 16250 16700 16900 17368 17500 17576 18200 18704 18928 20000 20800 20875 21125 21376 21632 21710 21970 22400 22750 23380 23660 26000 26720 27040 27889 28000 28223 28561 29120 29225 29575 30394 30758 32500 33400 33800 34736 35000 35152 36400 37408 37856 40000 41600 41750 42250 43420 43940 45500 46760 47320 52000 53440 54080 54275 54925 55778 56000 56446 56875 57122 58240 58450 59150 60788 61516 65000 66800 67600 69472 70000 70304 72800 74816 75712 75985 76895 80000 83500 84500 86840 87880 91000 93520 94640 104000 104375 105625 106880 108160 108550 109850 111556 112000 112892 113750 114244 116900 118300 121576 123032 130000 133600 135200 138944 139445 140000 140608 141115 142805 145600 146125 147875 149632 151424 151970 153790 167000 169000 173680 175760 182000 187040 189280 195223 197561 199927 208000 208750 211250 217100 219700 223112 225784 227500 228488 233800 236600 243152 246064 260000 267200 270400 271375 274625 277888 278890 280000 281216 282230 285610 291200 292250 295750 303940 307580 334000 338000 347360 351520 362557 364000 366899 371293 374080 378560 379925 384475 390446 395122 399854 417500 422500 434200 439400 446224 451568 455000 456976 467600 473200 486304 492128 520000 534400 540800 542750 549250 557780 560000 564460 571220 584500 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38735948376361600 48419935470452000 60524919338065000 69171336386360000 74492208416080000 96839870940904000 121049838676130000 138342672772720000 193679741881808000 242099677352260000 484199354704520000 968398709409040000
- Sum of all divisors σ(n): 3002740316634643200
- Sum of proper divisors (its aliquot sum) s(n): 2034341607225603200
- 968398709409040000 is an abundant number, because the sum of its proper divisors (2034341607225603200) is greater than itself. Its abundance is 1065942897816563200
Bases of 968398709409040000
- Binary: 1101011100000111000101111110110100110100010111000110100000002
- Hexadecimal: 0xD70717ED345C680
- Base-36: 7CV8OXIKEW74
Squares and roots of 968398709409040000
- 968398709409040000 squared (9683987094090400002) is 937796060385094297026033721600000000
- 968398709409040000 cubed (9683987094090400003) is 908160494565807460623192566643434247883264000000000000
-
The
square root of 968398709409040000 is 984072512.2718548935 -
The
cube root of 968398709409040000 is 989353.2862328987
Scales and comparisons
How big is 968398709409040000?- 968,398,709,409,040,000 seconds is equal to 30,792,083,505 years, 16 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
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To count from 1 to 968,398,709,409,040,000 would take you about ninety-two billion, three hundred seventy-six million, two hundred fifty thousand, five hundred fifteen 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 968398709409040000 cubic inches would be around 82446.1 feet tall.
Recreational maths with 968398709409040000
- 968398709409040000 backwards is 000040904907893869
- The number of decimal digits it has is: 18
- The sum of 968398709409040000's digits is 76
- More coming soon!
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The information we have on file for 968398709409040000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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