972142418208000
972,142,418,208,000 is an even composite number composed of seven prime numbers multiplied together.
972142418208000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 972142418208000:
28 × 3 × 53 × 13 × 19 × 293 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 19 × 29 × 29 × 29 × 41 × 41)See below for interesting mathematical facts about the number 972142418208000 from the Numbermatics database.
Names of 972142418208000
- Cardinal: 972142418208000 can be written as Nine hundred seventy-two trillion, one hundred forty-two billion, four hundred eighteen million, two hundred eight thousand.
Scientific notation
- Scientific notation: 9.72142418208 × 1014
Factors of 972142418208000
Divisors of 972142418208000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 29 30 32 38 39 40 41 48 50 52 57 58 60 64 65 75 76 78 80 82 87 95 96 100 104 114 116 120 123 125 128 130 145 150 152 156 160 164 174 190 192 195 200 205 208 228 232 240 246 247 250 256 260 285 290 300 304 312 320 325 328 348 375 377 380 384 390 400 410 416 435 456 464 475 480 492 494 500 520 533 551 570 580 600 608 615 624 640 650 656 696 725 741 750 754 760 768 779 780 800 820 832 841 870 912 928 950 960 975 984 988 1000 1025 1040 1066 1102 1131 1140 1160 1189 1200 1216 1230 1235 1248 1280 1300 1312 1392 1425 1450 1482 1500 1508 1520 1558 1560 1599 1600 1625 1640 1653 1664 1681 1682 1740 1824 1856 1885 1900 1920 1950 1968 1976 2000 2050 2080 2132 2175 2204 2262 2280 2320 2337 2375 2378 2400 2432 2460 2470 2496 2523 2600 2624 2665 2755 2784 2850 2900 2964 3000 3016 3040 3075 3116 3120 3198 3200 3250 3280 3306 3328 3362 3364 3480 3567 3625 3648 3705 3712 3770 3800 3840 3895 3900 3936 3952 4000 4100 4160 4205 4264 4350 4408 4524 4560 4640 4674 4750 4756 4800 4864 4875 4920 4940 4992 5043 5046 5125 5200 5248 5330 5510 5568 5655 5700 5800 5928 5945 6000 6032 6080 6150 6175 6232 6240 6396 6400 6500 6560 6612 6724 6728 6960 7125 7134 7163 7250 7296 7410 7424 7540 7600 7790 7800 7872 7904 7995 8000 8200 8265 8320 8405 8410 8528 8700 8816 9048 9120 9280 9348 9425 9500 9512 9600 9750 9840 9880 9984 10086 10092 10127 10250 10400 10496 10660 10875 10933 11020 11136 11310 11400 11600 11685 11856 11890 12000 12064 12160 12300 12350 12464 12480 12615 12792 13000 13120 13224 13325 13448 13456 13775 13920 14250 14268 14326 14500 14592 14820 15080 15200 15375 15457 15580 15600 15744 15808 15979 15990 16000 16400 16530 16640 16810 16820 17056 17400 17632 17835 18096 18240 18525 18560 18696 18850 19000 19024 19200 19475 19500 19680 19760 20172 20184 20254 20500 20800 21025 21320 21489 21750 21853 21866 22040 22272 22591 22620 22800 23200 23370 23712 23780 24000 24128 24320 24389 24600 24700 24928 24960 25215 25230 25584 26000 26240 26448 26650 26896 26912 27550 27840 28275 28500 28536 28652 29000 29640 29725 30160 30381 30400 30750 30875 30914 31160 31200 31488 31616 31939 31958 31980 32000 32799 32800 33060 33620 33640 34112 34481 34800 35264 35670 35815 36192 36480 37050 37120 37392 37700 38000 38048 38950 39000 39360 39520 39975 40344 40368 40508 41000 41325 41600 42025 42050 42640 42978 43500 43706 43732 44080 45182 45240 45600 46371 46400 46740 47125 47424 47560 47937 48000 48256 48749 48778 49200 49400 49856 49920 50430 50460 50635 51168 52000 52480 52896 53300 53792 53824 54665 55100 55680 56550 57000 57072 57304 58000 58425 59280 59450 60320 60762 60800 61500 61750 61828 62320 62400 63075 63232 63878 63916 63960 65559 65598 65600 66120 66625 67240 67280 67773 68224 68875 68962 69600 70528 71340 71630 72384 72960 73167 74100 74784 75400 76000 76096 77285 77900 78000 78720 79040 79895 79950 80688 80736 81016 82000 82650 83200 84050 84100 85280 85956 87000 87412 87464 88160 89175 90364 90480 91200 92625 92742 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2991207440640 3037945056900 3115841084000 3197836902000 3240474727360 3352215235200 3411026028800 3739009300800 3797431321125 3888569672832 3935799264000 3951798448000 4050593409200 4190269044000 4263782536000 4673761626000 4742158137600 4860712091040 4985345734400 5063241761500 5116539043200 5587025392000 5927697672000 6075890113800 6231682168000 6395673804000 6480949454720 6704430470400 7478018601600 7594862642250 7777139345664 7903596896000 8101186818400 8380538088000 8527565072000 9347523252000 9721424182080 10126483523000 10233078086400 11174050784000 11855395344000 12151780227600 12463364336000 12791347608000 12961898909440 14956037203200 15189725284500 16202373636800 16761076176000 17055130144000 18695046504000 19442848364160 20252967046000 23710790688000 24303560455200 24926728672000 25582695216000 30379450569000 32404747273600 33522152352000 37390093008000 38885696728320 40505934092000 48607120910400 51165390432000 60758901138000 64809494547200 74780186016000 81011868184000 97214241820800 121517802276000 162023736368000 194428483641600 243035604552000 324047472736000 486071209104000 972142418208000
- Sum of all divisors σ(n): 3885815218521600
- Sum of proper divisors (its aliquot sum) s(n): 2913672800313600
- 972142418208000 is an abundant number, because the sum of its proper divisors (2913672800313600) is greater than itself. Its abundance is 1941530382105600
Bases of 972142418208000
- Binary: 110111010000101000100010111000001000100101000000002
- Hexadecimal: 0x374288B822500
- Base-36: 9KLG27TSLC
Squares and roots of 972142418208000
- 972142418208000 squared (9721424182080002) is 945060881279297969931264000000
- 972142418208000 cubed (9721424182080003) is 918733770480640325137564256502054912000000000
-
The
square root of 972142418208000 is 31179198.4856570679 -
The
cube root of 972142418208000 is 99062.6552404627
Scales and comparisons
How big is 972142418208000?- 972,142,418,208,000 seconds is equal to 30,911,121 years, 44 weeks, 6 days, 21 hours, 20 minutes.
-
To count from 1 to 972,142,418,208,000 would take you about seventy-seven million, two hundred seventy-seven thousand, eight hundred four 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 972142418208000 cubic inches would be around 8255.2 feet tall.
Recreational maths with 972142418208000
- 972142418208000 backwards is 000802814241279
- 972142418208000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 972142418208000's digits is 48
- More coming soon!
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"Number 972142418208000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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Numbermatics. (2024). Number 972142418208000 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/972142418208000/
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The information we have on file for 972142418208000 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!
Keywords: Divisors of 972142418208000, math, Factors of 972142418208000, curriculum, school, college, exams, university, Prime factorization of 972142418208000, STEM, science, technology, engineering, physics, economics, calculator, nine hundred seventy-two trillion, one hundred forty-two billion, four hundred eighteen million, two hundred eight thousand.