97968631296000
97,968,631,296,000 is an even composite number composed of five prime numbers multiplied together.
97968631296000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 97968631296000:
212 × 3 × 53 × 613 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 61 × 61 × 61 × 281)See below for interesting mathematical facts about the number 97968631296000 from the Numbermatics database.
Names of 97968631296000
- Cardinal: 97968631296000 can be written as Ninety-seven trillion, nine hundred sixty-eight billion, six hundred thirty-one million, two hundred ninety-six thousand.
Scientific notation
- Scientific notation: 9.7968631296 × 1013
Factors of 97968631296000
Divisors of 97968631296000
- Number of divisors d(n): 832
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 61 64 75 80 96 100 120 122 125 128 150 160 183 192 200 240 244 250 256 281 300 305 320 366 375 384 400 480 488 500 512 562 600 610 640 732 750 768 800 843 915 960 976 1000 1024 1124 1200 1220 1280 1405 1464 1500 1525 1536 1600 1686 1830 1920 1952 2000 2048 2248 2400 2440 2560 2810 2928 3000 3050 3072 3200 3372 3660 3721 3840 3904 4000 4096 4215 4496 4575 4800 4880 5120 5620 5856 6000 6100 6144 6400 6744 7025 7320 7442 7625 7680 7808 8000 8430 8992 9150 9600 9760 10240 11163 11240 11712 12000 12200 12288 12800 13488 14050 14640 14884 15250 15360 15616 16000 16860 17141 17984 18300 18605 19200 19520 20480 21075 22326 22480 22875 23424 24000 24400 25600 26976 28100 29280 29768 30500 30720 31232 32000 33720 34282 35125 35968 36600 37210 38400 39040 42150 44652 44960 45750 46848 48000 48800 51200 51423 53952 55815 56200 58560 59536 61000 61440 62464 64000 67440 68564 70250 71936 73200 74420 76800 78080 84300 85705 89304 89920 91500 93025 93696 96000 97600 102400 102846 105375 107904 111630 112400 117120 119072 122000 124928 128000 134880 137128 140500 143872 146400 148840 153600 156160 168600 171410 178608 179840 183000 186050 187392 192000 195200 205692 210750 215808 223260 224800 226981 234240 238144 244000 249856 256000 257115 269760 274256 279075 281000 287744 292800 297680 307200 312320 337200 342820 357216 359680 366000 372100 374784 384000 390400 411384 421500 428525 431616 446520 449600 453962 465125 468480 476288 488000 512000 514230 539520 548512 558150 562000 575488 585600 595360 624640 674400 680943 685640 714432 719360 732000 744200 749568 768000 780800 822768 843000 857050 863232 893040 899200 907924 930250 936960 952576 976000 1028460 1045601 1079040 1097024 1116300 1124000 1134905 1150976 1171200 1190720 1249280 1285575 1348800 1361886 1371280 1395375 1428864 1438720 1464000 1488400 1536000 1561600 1645536 1686000 1714100 1726464 1786080 1798400 1815848 1860500 1873920 1905152 1952000 2056920 2091202 2142625 2158080 2194048 2232600 2248000 2269810 2342400 2381440 2571150 2697600 2723772 2742560 2790750 2857728 2877440 2928000 2976800 3123200 3136803 3291072 3372000 3404715 3428200 3452928 3572160 3596800 3631696 3721000 3747840 3810304 3904000 4113840 4182404 4285250 4316160 4388096 4465200 4496000 4539620 4684800 4762880 5142300 5228005 5395200 5447544 5485120 5581500 5674525 5715456 5754880 5856000 5953600 6246400 6273606 6427875 6582144 6744000 6809430 6856400 7144320 7193600 7263392 7442000 7620608 7808000 8227680 8364808 8570500 8632320 8776192 8930400 8992000 9079240 9369600 9525760 10284600 10456010 10790400 10895088 10970240 11163000 11349050 11430912 11712000 11907200 12547212 12855750 13164288 13488000 13618860 13712800 14288640 14387200 14526784 14884000 15241216 15616000 15684015 16455360 16729616 17023575 17141000 17264640 17552384 17860800 17984000 18158480 18739200 19051520 20569200 20912020 21580800 21790176 21940480 22326000 22698100 22861824 23424000 23814400 25094424 25711500 26140025 26328576 26976000 27237720 27425600 28372625 28577280 28774400 29053568 29768000 31232000 31368030 32910720 33459232 34047150 34282000 35104768 35721600 35968000 36316960 38103040 41138400 41824040 43161600 43580352 43880960 44652000 45396200 45723648 46848000 47628800 50188848 51423000 52280050 52657152 53952000 54475440 54851200 56745250 57154560 58107136 59536000 62736060 63781661 65821440 66918464 68094300 68564000 70209536 71443200 71936000 72633920 76206080 78420075 82276800 83648080 85117875 86323200 87160704 87761920 89304000 90792400 93696000 95257600 100377696 102846000 104560100 105314304 107904000 108950880 109702400 113490500 114309120 116214272 119072000 125472120 127563322 130700125 131642880 133836928 136188600 137128000 142886400 143872000 145267840 156840150 164553600 167296160 170235750 174321408 175523840 178608000 181584800 190515200 191344983 200755392 205692000 209120200 210628608 215808000 217901760 219404800 226981000 228618240 232428544 238144000 250944240 255126644 261400250 263285760 267673856 272377200 274256000 285772800 290535680 313680300 318908305 329107200 334592320 340471500 348642816 351047680 357216000 363169600 381030400 382689966 392100375 401510784 411384000 418240400 431616000 435803520 438809600 453962000 464857088 476288000 501888480 510253288 522800500 526571520 535347712 544754400 548512000 571545600 581071360 627360600 637816610 658214400 669184640 680943000 697285632 714432000 726339200 765379932 784200750 803021568 822768000 836480800 871607040 877619200 907924000 929714176 952576000 956724915 1003776960 1020506576 1045601000 1053143040 1070695424 1089508800 1097024000 1143091200 1162142720 1254721200 1275633220 1316428800 1338369280 1361886000 1394571264 1428864000 1452678400 1530759864 1568401500 1594541525 1606043136 1645536000 1672961600 1743214080 1755238400 1815848000 1905152000 1913449830 2007553920 2041013152 2091202000 2141390848 2179017600 2194048000 2324285440 2509442400 2551266440 2632857600 2676738560 2723772000 2789142528 2857728000 2905356800 3061519728 3136803000 3189083050 3212086272 3291072000 3345923200 3486428160 3631696000 3826899660 4015107840 4082026304 4182404000 4282781696 4358035200 4388096000 4648570880 4783624575 5018884800 5102532880 5265715200 5353477120 5447544000 5715456000 5810713600 6123039456 6273606000 6378166100 6424172544 6582144000 6691846400 6972856320 7263392000 7653799320 7972707625 8030215680 8164052608 8364808000 8716070400 8776192000 9567249150 10037769600 10205065760 10706954240 10895088000 11621427200 12246078912 12547212000 12756332200 12848345088 13164288000 13383692800 13945712640 14526784000 15307598640 15945415250 16060431360 16328105216 16729616000 17432140800 19134498300 20075539200 20410131520 21413908480 21790176000 23242854400 23918122875 24492157824 25094424000 25512664400 26328576000 26767385600 29053568000 30615197280 31890830500 32120862720 32656210432 33459232000 34864281600 38268996600 40151078400 40820263040 43580352000 47836245750 48984315648 50188848000 51025328800 53534771200 58107136000 61230394560 63781661000 64241725440 65312420864 66918464000 69728563200 76537993200 80302156800 81640526080 87160704000 95672491500 97968631296 100377696000 102050657600 107069542400 116214272000 122460789120 127563322000 130624841728 133836928000 153075986400 160604313600 163281052160 174321408000 191344983000 195937262592 200755392000 204101315200 244921578240 255126644000 261249683456 267673856000 306151972800 321208627200 326562104320 348642816000 382689966000 391874525184 401510784000 408202630400 489843156480 510253288000 535347712000 612303945600 653124208640 765379932000 783749050368 803021568000 816405260800 979686312960 1020506576000 1224607891200 1306248417280 1530759864000 1606043136000 1632810521600 1959372625920 2041013152000 2449215782400 3061519728000 3265621043200 3918745251840 4082026304000 4898431564800 6123039456000 6531242086400 8164052608000 9796863129600 12246078912000 16328105216000 19593726259200 24492157824000 32656210432000 48984315648000 97968631296000
- Sum of all divisors σ(n): 332612588610432
- Sum of proper divisors (its aliquot sum) s(n): 234643957314432
- 97968631296000 is an abundant number, because the sum of its proper divisors (234643957314432) is greater than itself. Its abundance is 136675326018432
Bases of 97968631296000
- Binary: 101100100011010000110010111011110110000000000002
- Hexadecimal: 0x591A1977B000
- Base-36: YQ661LJPC
Squares and roots of 97968631296000
- 97968631296000 squared (979686312960002) is 9597852718011590639616000000
- 97968631296000 cubed (979686312960003) is 940288494164188981627024715022336000000000
-
The
square root of 97968631296000 is 9897910.4509992411 -
The
cube root of 97968631296000 is 46099.4432319831
Scales and comparisons
How big is 97968631296000?- 97,968,631,296,000 seconds is equal to 3,115,099 years, 22 weeks, 5 days, 13 hours, 20 minutes.
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To count from 1 to 97,968,631,296,000 would take you about seven million, seven hundred eighty-seven thousand, seven hundred forty-eight 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 97968631296000 cubic inches would be around 3841.6 feet tall.
Recreational maths with 97968631296000
- 97968631296000 backwards is 00069213686979
- The number of decimal digits it has is: 14
- The sum of 97968631296000's digits is 66
- More coming soon!
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The information we have on file for 97968631296000 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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