2968351346688000
2,968,351,346,688,000 is an even composite number composed of seven prime numbers multiplied together.
2968351346688000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, six hundred eight divisors.
Prime factorization of 2968351346688000:
215 × 3 × 53 × 72 × 132 × 31 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 31 × 941)See below for interesting mathematical facts about the number 2968351346688000 from the Numbermatics database.
Names of 2968351346688000
- Cardinal: 2968351346688000 can be written as Two quadrillion, nine hundred sixty-eight trillion, three hundred fifty-one billion, three hundred forty-six million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 2.968351346688 × 1015
Factors of 2968351346688000
Divisors of 2968351346688000
- Number of divisors d(n): 4608
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 31 32 35 39 40 42 48 49 50 52 56 60 62 64 65 70 75 78 80 84 91 93 96 98 100 104 105 112 120 124 125 128 130 140 147 150 155 156 160 168 169 175 182 186 192 195 196 200 208 210 217 224 240 245 248 250 256 260 273 280 294 300 310 312 320 325 336 338 350 364 372 375 384 390 392 400 403 416 420 434 448 455 465 480 490 496 500 507 512 520 525 546 560 588 600 620 624 637 640 650 651 672 676 700 728 735 744 750 768 775 780 784 800 806 832 840 845 868 875 896 910 930 941 960 975 980 992 1000 1014 1024 1040 1050 1085 1092 1120 1176 1183 1200 1209 1225 1240 1248 1274 1280 1300 1302 1344 1352 1365 1400 1456 1470 1488 1500 1519 1536 1550 1560 1568 1600 1612 1625 1664 1680 1690 1736 1750 1792 1820 1860 1882 1911 1920 1950 1960 1984 2000 2015 2028 2048 2080 2100 2170 2184 2240 2275 2325 2352 2366 2400 2418 2450 2480 2496 2535 2548 2560 2600 2604 2625 2688 2704 2730 2800 2821 2823 2912 2940 2976 3000 3038 3072 3100 3120 3136 3185 3200 3224 3250 3255 3328 3360 3380 3472 3500 3549 3584 3640 3675 3720 3764 3822 3840 3875 3900 3920 3968 4000 4030 4056 4096 4160 4200 4225 4340 4368 4480 4550 4557 4650 4704 4705 4732 4800 4836 4875 4900 4960 4992 5070 5096 5120 5200 5208 5239 5250 5376 5408 5425 5460 5600 5642 5646 5824 5880 5915 5952 6000 6045 6076 6125 6144 6200 6240 6272 6370 6400 6448 6500 6510 6587 6656 6720 6760 6825 6944 7000 7098 7168 7280 7350 7440 7528 7595 7644 7680 7750 7800 7840 7936 8000 8060 8112 8192 8281 8320 8400 8450 8463 8680 8736 8960 9100 9114 9300 9408 9410 9464 9555 9600 9672 9750 9800 9920 9984 10075 10140 10192 10240 10400 10416 10478 10500 10752 10816 10850 10920 11200 11284 11292 11375 11625 11648 11760 11830 11904 12000 12090 12152 12233 12250 12288 12400 12480 12544 12675 12740 12800 12896 13000 13020 13174 13312 13440 13520 13650 13888 14000 14105 14115 14196 14336 14560 14700 14880 15056 15190 15288 15360 15500 15600 15680 15717 15872 15925 16000 16120 16224 16275 16384 16562 16640 16800 16900 16926 17360 17472 17745 17920 18200 18228 18375 18600 18816 18820 18928 19110 19200 19344 19500 19600 19747 19761 19840 19968 20150 20280 20384 20480 20800 20832 20956 21000 21125 21504 21632 21700 21840 22400 22568 22584 22750 22785 23250 23296 23520 23525 23660 23808 24000 24180 24304 24466 24500 24576 24800 24843 24960 25088 25350 25480 25600 25792 26000 26040 26195 26348 26624 26880 27040 27125 27300 27776 28000 28210 28230 28392 28672 29120 29171 29400 29575 29760 30112 30225 30380 30576 30720 31000 31200 31360 31434 31744 31850 32000 32240 32448 32550 32768 32935 33124 33280 33600 33800 33852 34125 34720 34944 35490 35840 36400 36456 36673 36699 36750 37200 37632 37640 37856 37975 38220 38400 38688 39000 39200 39494 39522 39680 39936 40300 40560 40768 40960 41405 41600 41664 41912 42000 42250 42315 43008 43264 43400 43680 44800 45136 45168 45500 45570 46109 46500 46592 47040 47050 47320 47616 47775 48000 48360 48608 48932 49000 49152 49600 49686 49920 50176 50375 50700 50960 51200 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5984579328000 6057859891200 6184065305600 6383551283200 6523849113600 6625784256000 6839519232000 7067503206400 7135459968000 7365636096000 7420878366720 7572324864000 7611157299200 7730081632000 7915603591168 7979439104000 8154811392000 8481003847680 8782104576000 8834379008000 9133388759040 9276097958400 9513946624000 9575326924800 9894504488960 10096433152000 10601254809600 10873081856000 11416735948800 11595122448000 11873405386752 11969158656000 12115719782400 12368130611200 13251568512000 13679038464000 14135006412800 14270919936000 14841756733440 15144649728000 15222314598400 15460163264000 15958878208000 16309622784000 16962007695360 17564209152000 17668758016000 18552195916800 19027893248000 19150653849600 19789008977920 20192866304000 21202509619200 22833471897600 23190244896000 23746810773504 23938317312000 24736261222400 26503137024000 28270012825600 28541839872000 29683513466880 30289299456000 30920326528000 31917756416000 32619245568000 35337516032000 37104391833600 38055786496000 39578017955840 42405019238400 45666943795200 46380489792000 47876634624000 49472522444800 53006274048000 57083679744000 59367026933760 60578598912000 61840653056000 70675032064000 74208783667200 76111572992000 84810038476800 92760979584000 95753269248000 98945044889600 106012548096000 114167359488000 118734053867520 123681306112000 141350064128000 148417567334400 185521959168000 197890089779200 212025096192000 228334718976000 247362612224000 296835134668800 371043918336000 424050192384000 494725224448000 593670269337600 742087836672000 989450448896000 1484175673344000 2968351346688000
- Sum of all divisors σ(n): 12858334516085760
- Sum of proper divisors (its aliquot sum) s(n): 9889983169397760
- 2968351346688000 is an abundant number, because the sum of its proper divisors (9889983169397760) is greater than itself. Its abundance is 6921631822709760
Bases of 2968351346688000
- Binary: 10101000101110110011001001111001011010000000000000002
- Hexadecimal: 0xA8BB327968000
- Base-36: T86XS799MO
Squares and roots of 2968351346688000
- 2968351346688000 squared (29683513466880002) is 8811109717384463168569344000000
- 2968351346688000 cubed (29683513466880003) is 26154469395413894331470747816712732672000000000
-
The
square root of 2968351346688000 is 54482578.3777530117 -
The
cube root of 2968351346688000 is 143715.9935155079
Scales and comparisons
How big is 2968351346688000?- 2,968,351,346,688,000 seconds is equal to 94,384,391 years, 5 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 2,968,351,346,688,000 would take you about two hundred eighty-three million, one hundred fifty-three thousand, one hundred seventy-three 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 2968351346688000 cubic inches would be around 11976.3 feet tall.
Recreational maths with 2968351346688000
- 2968351346688000 backwards is 0008866431538692
- The number of decimal digits it has is: 16
- The sum of 2968351346688000's digits is 69
- More coming soon!
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"Number 2968351346688000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 2968351346688000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/2968351346688000/
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The information we have on file for 2968351346688000 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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