972142125760
972,142,125,760 is an even composite number composed of six prime numbers multiplied together.
What does the number 972142125760 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 224 divisors.
972142125760 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 972142125760:
26 × 5 × 13 × 19 × 61 × 201629
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 19 × 61 × 201629)See below for interesting mathematical facts about the number 972142125760 from the Numbermatics database.
Names of 972142125760
- Cardinal: 972142125760 can be written as Nine hundred seventy-two billion, one hundred forty-two million, one hundred twenty-five thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 9.7214212576 × 1011
Factors of 972142125760
Divisors of 972142125760
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 61 64 65 76 80 95 104 122 130 152 160 190 208 244 247 260 304 305 320 380 416 488 494 520 608 610 760 793 832 976 988 1040 1159 1216 1220 1235 1520 1586 1952 1976 2080 2318 2440 2470 3040 3172 3904 3952 3965 4160 4636 4880 4940 5795 6080 6344 7904 7930 9272 9760 9880 11590 12688 15067 15808 15860 18544 19520 19760 23180 25376 30134 31720 37088 39520 46360 50752 60268 63440 74176 75335 79040 92720 120536 126880 150670 185440 201629 241072 253760 301340 370880 403258 482144 602680 806516 964288 1008145 1205360 1613032 2016290 2410720 2621177 3226064 3830951 4032580 4821440 5242354 6452128 7661902 8065160 10484708 12299369 12904256 13105885 15323804 16130320 19154755 20969416 24598738 26211770 30647608 32260640 38309510 41938832 49197476 49802363 52423540 61295216 61496845 64521280 76619020 83877664 98394952 99604726 104847080 122590432 122993690 153238040 159891797 167755328 196789904 199209452 209694160 233688011 245180864 245987380 249011815 306476080 319783594 393579808 398418904 419388320 467376022 491974760 498023630 612952160 639567188 787159616 796837808 799458985 838776640 934752044 983949520 996047260 1168440055 1225904320 1279134376 1593675616 1598917970 1869504088 1967899040 1992094520 2336880110 2558268752 3037944143 3187351232 3197835940 3739008176 3935798080 3984189040 4673760220 5116537504 6075888286 6395671880 7478016352 7968378080 9347520440 10233075008 12151776572 12791343760 14956032704 15189720715 15936756160 18695040880 24303553144 25582687520 30379441430 37390081760 48607106288 51165375040 60758882860 74780163520 97214212576 121517765720 194428425152 243035531440 486071062880 972142125760
- Sum of all divisors σ(n): 2667226161600
- Sum of proper divisors (its aliquot sum) s(n): 1695084035840
- 972142125760 is an abundant number, because the sum of its proper divisors (1695084035840) is greater than itself. Its abundance is 722941910080
Bases of 972142125760
- Binary: 11100010010110000010111110100010110000002
- Hexadecimal: 0xE2582FA2C0
- Base-36: CELGBKXS
Squares and roots of 972142125760
- 972142125760 squared (9721421257602) is 945060312677171655577600
- 972142125760 cubed (9721421257603) is 918732941337395929877626624638976000
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The
square root of 972142125760 is 985972.6800271903 -
The
cube root of 972142125760 is 9906.2645306843
Scales and comparisons
How big is 972142125760?- 972,142,125,760 seconds is equal to 30,911 years, 5 weeks, 5 days, 23 hours, 22 minutes, 40 seconds.
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To count from 1 to 972,142,125,760 would take you about sixty-one thousand, eight hundred twenty-two 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 972142125760 cubic inches would be around 825.5 feet tall.
Recreational maths with 972142125760
- 972142125760 backwards is 067521241279
- The number of decimal digits it has is: 12
- The sum of 972142125760's digits is 46
- More coming soon!
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