972101472000
972,101,472,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 972101472000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
972101472000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 972101472000:
28 × 3 × 53 × 312 × 41 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 31 × 31 × 41 × 257)See below for interesting mathematical facts about the number 972101472000 from the Numbermatics database.
Names of 972101472000
- Cardinal: 972101472000 can be written as Nine hundred seventy-two billion, one hundred one million, four hundred seventy-two thousand.
Scientific notation
- Scientific notation: 9.72101472 × 1011
Factors of 972101472000
Divisors of 972101472000
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 41 48 50 60 62 64 75 80 82 93 96 100 120 123 124 125 128 150 155 160 164 186 192 200 205 240 246 248 250 256 257 300 310 320 328 372 375 384 400 410 465 480 492 496 500 514 600 615 620 640 656 744 750 768 771 775 800 820 930 960 961 984 992 1000 1025 1028 1200 1230 1240 1271 1280 1285 1312 1488 1500 1542 1550 1600 1640 1860 1920 1922 1968 1984 2000 2050 2056 2325 2400 2460 2480 2542 2570 2624 2883 2976 3000 3075 3084 3100 3200 3280 3720 3813 3840 3844 3855 3875 3936 3968 4000 4100 4112 4650 4800 4805 4920 4960 5084 5125 5140 5248 5766 5952 6000 6150 6168 6200 6355 6400 6425 6560 7440 7626 7688 7710 7750 7872 7936 7967 8000 8200 8224 9300 9600 9610 9840 9920 10168 10250 10280 10496 10537 11532 11625 11904 12000 12300 12336 12400 12710 12850 13120 14415 14880 15252 15375 15376 15420 15500 15744 15934 16000 16400 16448 18600 19065 19200 19220 19275 19680 19840 20336 20500 20560 21074 23064 23250 23808 23901 24000 24025 24600 24672 24800 25420 25700 26240 28830 29760 30504 30750 30752 30840 31000 31488 31611 31775 31868 32000 32125 32800 32896 37200 38130 38440 38550 39360 39401 39680 39835 40672 41000 41120 42148 46128 46500 47802 48000 48050 49200 49344 49600 50840 51400 52480 52685 57660 59520 61008 61500 61504 61680 62000 63222 63550 63736 64250 65600 65792 72075 74400 76260 76880 77100 78720 78802 79670 81344 82000 82240 84296 92256 93000 95325 95604 96000 96100 96375 98400 98688 99200 101680 102800 105370 115320 118203 119040 119505 120125 122016 123000 123008 123360 124000 126444 127100 127472 128500 131200 144150 148800 152520 153760 154200 157440 157604 158055 158875 159340 162688 164000 164480 168592 184512 186000 190650 191208 192200 192750 196800 197005 197376 198400 199175 203360 205600 210740 230640 236406 239010 240250 244032 246000 246016 246720 246977 248000 252888 254200 254944 257000 262400 263425 288300 297600 305040 307520 308400 315208 316110 317750 318680 325376 326647 328000 328960 337184 360375 369024 372000 381300 382416 384400 385500 393600 394010 398350 406720 411200 421480 461280 472812 476625 478020 480500 488064 492000 493440 493954 496000 505776 508400 509888 514000 526850 576600 591015 595200 597525 610080 615040 616800 630416 632220 635500 637360 653294 656000 674368 720750 738048 740931 744000 762600 764832 768800 771000 787200 788020 790275 796700 813440 822400 842960 922560 945624 953250 956040 961000 976128 979941 984000 985025 986880 987908 992000 995875 1011552 1016800 1019776 1028000 1053700 1153200 1182030 1195050 1220160 1230080 1233600 1234885 1260832 1264440 1271000 1274720 1306588 1312000 1317125 1348736 1441500 1481862 1488000 1525200 1529664 1537600 1542000 1576040 1580550 1593400 1626880 1633235 1644800 1685920 1845120 1891248 1906500 1912080 1922000 1959882 1968000 1970050 1975816 1991750 2023104 2033600 2039552 2056000 2107400 2306400 2364060 2390100 2440320 2467200 2469770 2521664 2528880 2542000 2549440 2613176 2634250 2697472 2883000 2955075 2963724 2976000 2987625 3050400 3059328 3075200 3084000 3152080 3161100 3186800 3266470 3371840 3690240 3704655 3782496 3813000 3824160 3844000 3919764 3936000 3940100 3951375 3951632 3983500 4046208 4067200 4112000 4214800 4612800 4728120 4780200 4880640 4899705 4925125 4934400 4939540 5043328 5057760 5084000 5098880 5226352 5268500 5766000 5910150 5927448 5975250 6100800 6118656 6150400 6168000 6174425 6304160 6322200 6373600 6532940 6743680 7409310 7564992 7626000 7648320 7688000 7839528 7880200 7902750 7903264 7967000 8092416 8134400 8166175 8224000 8429600 9225600 9456240 9560400 9799410 9850250 9879080 10086656 10115520 10126057 10168000 10197760 10452704 10537000 11532000 11820300 11854896 11950500 12201600 12336000 12348850 12608320 12644400 12747200 13065880 13487360 14775375 14818620 15129984 15252000 15296640 15376000 15679056 15760400 15805500 15806528 15934000 16332350 16859200 18451200 18523275 18912480 19120800 19598820 19700500 19758160 20231040 20252114 20336000 20905408 21074000 23064000 23640600 23709792 23901000 24403200 24498525 24672000 24697700 25216640 25288800 25494400 26131760 29550750 29637240 30259968 30378171 30504000 30593280 30752000 30872125 31358112 31520800 31611000 31613056 31868000 32664700 33718400 37046550 37824960 38241600 39197640 39401000 39516320 40462080 40504228 40672000 40830875 41810816 42148000 46128000 47281200 47419584 47802000 48997050 49395400 50433280 50577600 50630285 50988800 52263520 59101500 59274480 60756342 61008000 61744250 62716224 63041600 63222000 63226112 63736000 65329400 67436800 74093100 75649920 76483200 78395280 78802000 79032640 81008456 81661750 83621632 84296000 92256000 92616375 94562400 94839168 95604000 97994100 98790800 101155200 101260570 104527040 118203000 118548960 121512684 122016000 122492625 123488500 125432448 126083200 126444000 127472000 130658800 148186200 151299840 151890855 152966400 156790560 157604000 158065280 162016912 163323500 168592000 185232750 189124800 189678336 191208000 195988200 197581600 202310400 202521140 209054080 236406000 237097920 243025368 244985250 246977000 250864896 252166400 252888000 253151425 254944000 261317600 296372400 303781710 313581120 315208000 316130560 324033824 326647000 337184000 370465500 378249600 382416000 391976400 395163200 405042280 418108160 472812000 474195840 486050736 489970500 493954000 505776000 506302850 522635200 592744800 607563420 627162240 630416000 648067648 653294000 740931000 756499200 759454275 764832000 783952800 790326400 810084560 945624000 948391680 972101472 979941000 987908000 1011552000 1012605700 1045270400 1185489600 1215126840 1254324480 1260832000 1265757125 1296135296 1306588000 1481862000 1518908550 1567905600 1580652800 1620169120 1891248000 1944202944 1959882000 1975816000 2025211400 2090540800 2370979200 2430253680 2531514250 2592270592 2613176000 2963724000 3037817100 3135811200 3240338240 3782496000 3797271375 3888405888 3919764000 3951632000 4050422800 4741958400 4860507360 5063028500 5226352000 5927448000 6075634200 6271622400 6480676480 7594542750 7776811776 7839528000 7903264000 8100845600 9721014720 10126057000 10452704000 11854896000 12151268400 12961352960 15189085500 15679056000 16201691200 19442029440 20252114000 23709792000 24302536800 30378171000 31358112000 32403382400 38884058880 40504228000 48605073600 60756342000 64806764800 81008456000 97210147200 121512684000 162016912000 194420294400 243025368000 324033824000 486050736000 972101472000
- Sum of all divisors σ(n): 3431023831872
- Sum of proper divisors (its aliquot sum) s(n): 2458922359872
- 972101472000 is an abundant number, because the sum of its proper divisors (2458922359872) is greater than itself. Its abundance is 1486820887872
Bases of 972101472000
- Binary: 11100010010101011100001101001111000000002
- Hexadecimal: 0xE255C34F00
- Base-36: CEKS48AO
Squares and roots of 972101472000
- 972101472000 squared (9721014720002) is 944981271864566784000000
- 972101472000 cubed (9721014720003) is 918617685391977555368706048000000000
-
The
square root of 972101472000 is 985952.0637434661 -
The
cube root of 972101472000 is 9906.1264395883
Scales and comparisons
How big is 972101472000?- 972,101,472,000 seconds is equal to 30,909 years, 42 weeks, 4 days, 10 hours, 40 minutes.
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To count from 1 to 972,101,472,000 would take you about sixty-one thousand, eight hundred nineteen 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 972101472000 cubic inches would be around 825.5 feet tall.
Recreational maths with 972101472000
- 972101472000 backwards is 000274101279
- The number of decimal digits it has is: 12
- The sum of 972101472000's digits is 33
- More coming soon!
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The information we have on file for 972101472000 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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