972314612100000
972,314,612,100,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 972314612100000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4320 divisors.
972314612100000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 972314612100000:
25 × 39 × 55 × 132 × 37 × 79
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 37 × 79)See below for interesting mathematical facts about the number 972314612100000 from the Numbermatics database.
Names of 972314612100000
- Cardinal: 972314612100000 can be written as Nine hundred seventy-two trillion, three hundred fourteen billion, six hundred twelve million, one hundred thousand.
Scientific notation
- Scientific notation: 9.723146121 × 1014
Factors of 972314612100000
Divisors of 972314612100000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 37 39 40 45 48 50 52 54 60 65 72 74 75 78 79 80 81 90 96 100 104 108 111 117 120 125 130 135 144 148 150 156 158 160 162 169 180 185 195 200 208 216 222 225 234 237 240 243 250 260 270 288 296 300 312 316 324 325 333 338 351 360 370 375 390 395 400 405 416 432 444 450 468 474 480 481 486 500 507 520 540 555 585 592 600 624 625 632 648 650 666 675 676 702 711 720 729 740 750 780 790 800 810 845 864 888 900 925 936 948 962 972 975 999 1000 1014 1027 1040 1053 1080 1110 1125 1170 1184 1185 1200 1215 1248 1250 1264 1296 1300 1332 1350 1352 1404 1422 1440 1443 1458 1480 1500 1521 1560 1580 1620 1625 1665 1690 1755 1776 1800 1850 1872 1875 1896 1924 1944 1950 1975 1998 2000 2025 2028 2054 2080 2106 2133 2160 2187 2220 2250 2340 2370 2400 2405 2430 2500 2528 2535 2592 2600 2664 2700 2704 2775 2808 2844 2886 2916 2923 2925 2960 2997 3000 3042 3081 3120 3125 3159 3160 3240 3250 3330 3375 3380 3510 3552 3555 3600 3645 3700 3744 3750 3792 3848 3888 3900 3950 3996 4000 4050 4056 4108 4212 4225 4266 4320 4329 4374 4440 4500 4563 4625 4680 4740 4810 4860 4875 4995 5000 5070 5135 5200 5265 5328 5400 5408 5550 5616 5625 5688 5772 5832 5846 5850 5920 5925 5994 6000 6075 6084 6162 6240 6250 6253 6318 6320 6399 6480 6500 6561 6660 6750 6760 7020 7110 7200 7215 7290 7400 7500 7584 7605 7696 7776 7800 7900 7992 8100 8112 8125 8216 8325 8424 8450 8532 8658 8748 8769 8775 8880 8991 9000 9126 9243 9250 9360 9375 9477 9480 9620 9720 9750 9875 9990 10000 10125 10140 10270 10400 10530 10656 10665 10800 10935 11100 11232 11250 11376 11544 11664 11692 11700 11850 11988 12000 12025 12150 12168 12324 12500 12506 12636 12640 12675 12798 12960 12987 13000 13122 13320 13351 13500 13520 13689 13875 14040 14220 14430 14580 14615 14625 14800 14985 15000 15210 15392 15405 15600 15795 15800 15984 16200 16224 16250 16432 16650 16848 16875 16900 17064 17316 17496 17538 17550 17760 17775 17982 18000 18225 18252 18486 18500 18720 18750 18759 18954 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- Sum of all divisors σ(n): 4041779887031040
- Sum of proper divisors (its aliquot sum) s(n): 3069465274931040
- 972314612100000 is an abundant number, because the sum of its proper divisors (3069465274931040) is greater than itself. Its abundance is 2097150662831040
Bases of 972314612100000
- Binary: 110111010001010000101000110001000001101011101000002
- Hexadecimal: 0x37450A3106BA0
- Base-36: 9KNN5ZMI00
Squares and roots of 972314612100000
- 972314612100000 squared (9723146121000002) is 945395704903173466410000000000
- 972314612100000 cubed (9723146121000003) is 919222058093935177051451529561000000000000000
-
The
square root of 972314612100000 is 31181959.7219289603 -
The
cube root of 972314612100000 is 99068.5038269753
Scales and comparisons
How big is 972314612100000?- 972,314,612,100,000 seconds is equal to 30,916,597 years, 5 weeks, 18 hours.
-
To count from 1 to 972,314,612,100,000 would take you about seventy-seven million, two hundred ninety-one thousand, four hundred ninety-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 972314612100000 cubic inches would be around 8255.7 feet tall.
Recreational maths with 972314612100000
- 972314612100000 backwards is 000001216413279
- 972314612100000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 972314612100000's digits is 36
- More coming soon!
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Cite this page
MLA style:
"Number 972314612100000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 972314612100000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/972314612100000/
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Numbermatics. 2024. "Number 972314612100000 - Facts about the integer". https://numbermatics.com/n/972314612100000/
The information we have on file for 972314612100000 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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