97148610224960000
97,148,610,224,960,000 is an even composite number composed of six prime numbers multiplied together.
97148610224960000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 97148610224960000:
29 × 54 × 7 × 173 × 1092 × 743
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 17 × 17 × 17 × 109 × 109 × 743)See below for interesting mathematical facts about the number 97148610224960000 from the Numbermatics database.
Names of 97148610224960000
- Cardinal: 97148610224960000 can be written as Ninety-seven quadrillion, one hundred forty-eight trillion, six hundred ten billion, two hundred twenty-four million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 9.714861022496 × 1016
Factors of 97148610224960000
Divisors of 97148610224960000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 64 68 70 80 85 100 109 112 119 125 128 136 140 160 170 175 200 218 224 238 250 256 272 280 289 320 340 350 400 425 436 448 476 500 512 544 545 560 578 595 625 640 680 700 743 763 800 850 872 875 896 952 1000 1088 1090 1120 1156 1190 1250 1280 1360 1400 1445 1486 1526 1600 1700 1744 1750 1792 1853 1904 2000 2023 2125 2176 2180 2240 2312 2380 2500 2560 2720 2725 2800 2890 2972 2975 3052 3200 3400 3488 3500 3584 3706 3715 3808 3815 4000 4046 4250 4352 4360 4375 4480 4624 4760 4913 5000 5201 5440 5450 5600 5780 5944 5950 6104 6400 6800 6976 7000 7225 7412 7430 7616 7630 8000 8092 8500 8704 8720 8750 8960 9248 9265 9520 9826 10000 10115 10402 10625 10880 10900 11200 11560 11881 11888 11900 12208 12631 12800 12971 13600 13625 13952 14000 14450 14824 14860 14875 15232 15260 16000 16184 17000 17440 17500 17920 18496 18530 18575 19040 19075 19652 20000 20230 20804 21250 21760 21800 22400 23120 23762 23776 23800 24416 24565 25262 25942 26005 27200 27250 27904 28000 28900 29648 29720 29750 30464 30520 31501 32000 32368 34000 34391 34880 35000 36125 36992 37060 37150 38080 38150 39304 40000 40460 41608 42500 43520 43600 44800 46240 46325 47524 47552 47600 48832 49130 50524 50575 51884 52010 54400 54500 55808 56000 57800 59296 59405 59440 59500 60928 61040 63002 63155 64000 64736 64855 68000 68125 68782 69760 70000 72250 73984 74120 74300 74375 76160 76300 78608 80000 80920 80987 83167 83216 85000 87200 88417 89600 92480 92650 92875 95048 95104 95200 95375 97664 98260 101048 101150 103768 104020 108800 109000 112000 115600 118592 118810 118880 119000 122080 122825 126004 126310 129472 129710 130025 136000 136250 137564 139520 140000 144500 147968 148240 148600 148750 152320 152600 157216 157505 160000 161840 161974 166334 166432 170000 171955 174400 176834 180625 184960 185300 185750 190096 190208 190400 190750 195328 196520 201977 202096 202300 207536 208040 214727 217600 218000 220507 224000 231200 231625 237184 237620 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4336991527900 4456358267200 4464550102250 4571699304704 4669708240000 4802205152000 4857430511248 4943446480000 5092980876800 5102342974000 5230073228800 5242774432000 5252411885000 5421239409875 5551349155712 5570447834000 5714624130880 6002756440000 6071788139060 6366226096000 6377928717500 6530999006720 6537591536000 6553468040000 6723087212800 6939186444640 6963059792500 7130173227520 7143280163600 7489677760000 7589735173825 7691284160000 7957782620000 8163748758400 8171989420000 8176804160000 8403859016000 8673983055800 8912716534400 8929100204500 9143398609408 9339416480000 9604410304000 9714861022496 9886892960000 10204685948000 10485548864000 10504823770000 10842478819750 11102698311424 11140895668000 11161375255625 11429248261760 12005512880000 12143576278120 12732452192000 12755857435000 13075183072000 13106936080000 13446174425600 13878372889280 13926119585000 14286560327200 15179470347650 15915565240000 16327497516800 16343978840000 16807718032000 17347966111600 17825433068800 17858200409000 18678832960000 19429722044992 19773785920000 20409371896000 21009647540000 21684957639500 22205396622848 22281791336000 22322750511250 22858496523520 24011025760000 24287152556240 25464904384000 25511714870000 26150366144000 26213872160000 27106197049375 27756745778560 27852239170000 28573120654400 30358940695300 31831130480000 32654995033600 32687957680000 33615436064000 34695932223200 35650866137600 35716400818000 37948675869125 38859444089984 40818743792000 42019295080000 43369915279000 44563582672000 44645501022500 45716993047040 48022051520000 48574305112480 51023429740000 52427744320000 54212394098750 55513491557120 55704478340000 57146241308800 60717881390600 63662260960000 65375915360000 67230872128000 69391864446400 71432801636000 75897351738250 77718888179968 81637487584000 84038590160000 86739830558000 89127165344000 89291002045000 97148610224960 102046859480000 108424788197500 111026983114240 111408956680000 114292482617600 121435762781200 127324521920000 130751830720000 138783728892800 142865603272000 151794703476500 155437776359936 163274975168000 168077180320000 173479661116000 178254330688000 178582004090000 189743379345625 194297220449920 204093718960000 216849576395000 222817913360000 228584965235200 242871525562400 277567457785600 285731206544000 303589406953000 336154360640000 346959322232000 357164008180000 379486758691250 388594440899840 408187437920000 433699152790000 445635826720000 485743051124800 555134915571200 571462413088000 607178813906000 693918644464000 714328016360000 758973517382500 777188881799680 816374875840000 867398305580000 891271653440000 971486102249600 1142924826176000 1214357627812000 1387837288928000 1428656032720000 1517947034765000 1734796611160000 1942972204499200 2428715255624000 2775674577856000 2857312065440000 3035894069530000 3469593222320000 3885944408998400 4857430511248000 5714624130880000 6071788139060000 6939186444640000 9714861022496000 12143576278120000 13878372889280000 19429722044992000 24287152556240000 48574305112480000 97148610224960000
- Sum of all divisors σ(n): 297656585891723520
- Sum of proper divisors (its aliquot sum) s(n): 200507975666763520
- 97148610224960000 is an abundant number, because the sum of its proper divisors (200507975666763520) is greater than itself. Its abundance is 103359365441803520
Bases of 97148610224960000
- Binary: 1010110010010010000100101011100101110000110110010000000002
- Hexadecimal: 0x159242572E1B200
- Base-36: QKKB3F55MGW
Squares and roots of 97148610224960000
- 97148610224960000 squared (971486102249600002) is 9437852468641202661807001600000000
- 97148610224960000 cubed (971486102249600003) is 916874250836700718668375244507879079936000000000000
-
The
square root of 97148610224960000 is 311686718.0759552353 -
The
cube root of 97148610224960000 is 459704.6153794433
Scales and comparisons
How big is 97148610224960000?- 97,148,610,224,960,000 seconds is equal to 3,089,025,304 years, 40 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 97,148,610,224,960,000 would take you about nine billion, two hundred sixty-seven million, seventy-five thousand, nine hundred fourteen 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 97148610224960000 cubic inches would be around 38308.7 feet tall.
Recreational maths with 97148610224960000
- 97148610224960000 backwards is 00006942201684179
- The number of decimal digits it has is: 17
- The sum of 97148610224960000's digits is 59
- More coming soon!
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"Number 97148610224960000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 97148610224960000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/97148610224960000/
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The information we have on file for 97148610224960000 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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