97132987728000
97,132,987,728,000 is an even composite number composed of six prime numbers multiplied together.
97132987728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 97132987728000:
27 × 34 × 53 × 72 × 193 × 223
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 19 × 19 × 19 × 223)See below for interesting mathematical facts about the number 97132987728000 from the Numbermatics database.
Names of 97132987728000
- Cardinal: 97132987728000 can be written as Ninety-seven trillion, one hundred thirty-two billion, nine hundred eighty-seven million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 9.7132987728 × 1013
Factors of 97132987728000
Divisors of 97132987728000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 49 50 54 56 57 60 63 64 70 72 75 76 80 81 84 90 95 96 98 100 105 108 112 114 120 125 126 128 133 135 140 144 147 150 152 160 162 168 171 175 180 189 190 192 196 200 210 216 223 224 225 228 240 245 250 252 266 270 280 285 288 294 300 304 315 320 324 336 342 350 360 361 375 378 380 384 392 399 400 405 420 432 441 446 448 450 456 475 480 490 500 504 513 525 532 540 560 567 570 576 588 600 608 630 640 648 665 669 672 675 684 700 720 722 735 750 756 760 784 798 800 810 840 855 864 875 882 892 896 900 912 931 945 950 960 980 1000 1008 1026 1050 1064 1080 1083 1115 1120 1125 1134 1140 1152 1176 1197 1200 1216 1225 1260 1296 1323 1330 1338 1344 1350 1368 1400 1425 1440 1444 1470 1500 1512 1520 1539 1561 1568 1575 1596 1600 1620 1680 1710 1728 1750 1764 1784 1800 1805 1824 1862 1890 1900 1920 1960 1995 2000 2007 2016 2025 2052 2100 2128 2160 2166 2205 2230 2240 2250 2268 2280 2352 2375 2394 2400 2432 2450 2520 2527 2565 2592 2625 2646 2660 2676 2688 2700 2736 2793 2800 2835 2850 2880 2888 2940 3000 3024 3040 3078 3122 3136 3150 3192 3200 3240 3249 3325 3345 3360 3375 3420 3456 3500 3528 3568 3591 3600 3610 3648 3675 3724 3780 3800 3920 3969 3990 4000 4014 4032 4050 4104 4200 4237 4256 4275 4320 4332 4410 4460 4480 4500 4536 4560 4655 4683 4704 4725 4750 4788 4800 4900 5040 5054 5130 5184 5250 5292 5320 5352 5400 5415 5472 5575 5586 5600 5670 5700 5760 5776 5880 5985 6000 6021 6048 6080 6125 6156 6244 6272 6300 6384 6480 6498 6615 6650 6690 6720 6750 6840 6859 7000 7056 7125 7136 7182 7200 7220 7296 7350 7448 7560 7581 7600 7695 7805 7840 7875 7938 7980 8000 8028 8064 8100 8208 8379 8400 8474 8512 8550 8640 8664 8820 8920 9000 9025 9072 9120 9310 9366 9408 9450 9500 9576 9600 9747 9800 9975 10035 10080 10108 10125 10260 10368 10500 10584 10640 10704 10773 10800 10830 10927 10944 11025 11150 11172 11200 11340 11400 11552 11760 11970 12000 12042 12096 12160 12250 12312 12488 12600 12635 12711 12768 12825 12960 12996 13230 13300 13380 13440 13500 13680 13718 13965 14000 14049 14112 14175 14250 14272 14364 14400 14440 14700 14896 15120 15162 15200 15390 15610 15680 15750 15876 15960 16000 16056 16200 16245 16416 16625 16725 16758 16800 16948 17024 17100 17280 17328 17640 17689 17840 17955 18000 18050 18063 18144 18240 18375 18620 18732 18816 18900 19000 19152 19494 19600 19845 19950 20070 20160 20216 20250 20520 20577 21000 21168 21185 21280 21375 21408 21546 21600 21660 21854 21888 22050 22300 22344 22400 22680 22743 22800 23104 23275 23415 23520 23625 23940 24000 24084 24192 24500 24624 24976 25137 25200 25270 25422 25536 25650 25920 25992 26460 26600 26760 27000 27075 27360 27436 27875 27930 28000 28098 28224 28350 28500 28544 28728 28800 28880 29241 29400 29659 29792 29925 30105 30240 30324 30400 30780 31220 31360 31500 31752 31920 32112 32400 32490 32781 32832 33075 33250 33450 33516 33600 33896 34200 34295 34656 35280 35378 35680 35910 36000 36100 36126 36288 36480 36750 37240 37464 37800 37905 38000 38133 38304 38475 38988 39025 39200 39690 39900 40140 40320 40432 40500 41040 41154 41895 42000 42147 42336 42370 42560 42750 42816 43092 43200 43320 43708 44100 44600 44688 45125 45360 45486 45600 46208 46550 46830 47040 47250 47880 48000 48013 48168 48735 49000 49248 49875 49952 50175 50274 50400 50540 50844 51072 51300 51840 51984 52920 53067 53200 53520 53865 54000 54150 54635 54720 54872 55125 55750 55860 56000 56196 56448 56700 57000 57456 57760 58482 58800 59318 59584 59850 60210 60480 60648 60800 61560 61731 62440 63000 63175 63504 63555 63840 64125 64224 64800 64980 65562 65664 66150 66500 66900 67032 67200 67792 68229 68400 68590 69312 69825 70245 70560 70756 70875 71360 71820 72000 72200 72252 72576 73500 74480 74928 75411 75600 75810 76000 76266 76608 76950 77976 78050 78400 79380 79800 80280 80503 80864 81000 81225 82080 82308 83625 83790 84000 84294 84672 84740 85120 85500 85632 86184 86400 86640 87416 88200 88445 88977 89200 89376 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192724182000 194265975456 198230587200 202360391100 204490500480 213010938000 215851083840 216814704750 217786968000 220256208000 224844879000 231269018400 239834537600 242832469320 243441072000 247788234000 252950488875 255613125600 256965576000 259021300608 269066448000 269813854800 277522822080 284014584000 289086273000 299793172000 303540586650 308358691200 319516407000 323776625760 330384312000 337267318500 340817500800 346903527600 359751806400 365161608000 385448364000 388531950912 396461174400 404720782200 426021876000 431702167680 433629409500 435573936000 449689758000 462538036800 485664938640 495576468000 505900977750 511226251200 513931152000 539627709600 555045644160 568029168000 578172546000 599586344000 607081173300 639032814000 647553251520 660768624000 674534637000 693807055200 719503612800 730323216000 758851466625 770896728000 777063901824 809441564400 852043752000 867258819000 899379516000 925076073600 971329877280 991152936000 1011801955500 1022452502400 1079255419200 1156345092000 1199172688000 1214162346600 1278065628000 1295106503040 1349069274000 1387614110400 1517702933250 1541793456000 1618883128800 1704087504000 1734517638000 1798759032000 1942659754560 1982305872000 2023603911000 2158510838400 2312690184000 2428324693200 2556131256000 2698138548000 2775228220800 3035405866500 3237766257600 3469035276000 3597518064000 3885319509120 4047207822000 4625380368000 4856649386400 5112262512000 5396277096000 6070811733000 6475532515200 6938070552000 8094415644000 9713298772800 10792554192000 12141623466000 13876141104000 16188831288000 19426597545600 24283246932000 32377662576000 48566493864000 97132987728000
- Sum of all divisors σ(n): 444950387481600
- Sum of proper divisors (its aliquot sum) s(n): 347817399753600
- 97132987728000 is an abundant number, because the sum of its proper divisors (347817399753600) is greater than itself. Its abundance is 250684412025600
Bases of 97132987728000
- Binary: 101100001010111100010010011101011000000100000002
- Hexadecimal: 0x5857893AC080
- Base-36: YFIA0ZS00
Squares and roots of 97132987728000
- 97132987728000 squared (971329877280002) is 9434817304967798601984000000
- 97132987728000 cubed (971329877280003) is 916431993499359215041687428452352000000000
-
The
square root of 97132987728000 is 9855606.9182978277 -
The
cube root of 97132987728000 is 45967.9972313051
Scales and comparisons
How big is 97132987728000?- 97,132,987,728,000 seconds is equal to 3,088,528 years, 29 weeks.
-
To count from 1 to 97,132,987,728,000 would take you about seven million, seven hundred twenty-one thousand, three hundred twenty-one 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 97132987728000 cubic inches would be around 3830.7 feet tall.
Recreational maths with 97132987728000
- 97132987728000 backwards is 00082778923179
- 97132987728000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 97132987728000's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 97132987728000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 97132987728000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/97132987728000/
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The information we have on file for 97132987728000 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 97132987728000, math, Factors of 97132987728000, curriculum, school, college, exams, university, Prime factorization of 97132987728000, STEM, science, technology, engineering, physics, economics, calculator, ninety-seven trillion, one hundred thirty-two billion, nine hundred eighty-seven million, seven hundred twenty-eight thousand.