345342384816000
345,342,384,816,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 345342384816000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3456 divisors.
345342384816000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 345342384816000:
27 × 3 × 53 × 112 × 132 × 372 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 13 × 37 × 37 × 257)See below for interesting mathematical facts about the number 345342384816000 from the Numbermatics database.
Names of 345342384816000
- Cardinal: 345342384816000 can be written as Three hundred forty-five trillion, three hundred forty-two billion, three hundred eighty-four million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 3.45342384816 × 1014
Factors of 345342384816000
Divisors of 345342384816000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 37 39 40 44 48 50 52 55 60 64 65 66 74 75 78 80 88 96 100 104 110 111 120 121 125 128 130 132 143 148 150 156 160 165 169 176 185 192 195 200 208 220 222 240 242 250 257 260 264 275 286 296 300 312 320 325 330 338 352 363 370 375 384 390 400 407 416 429 440 444 480 481 484 500 507 514 520 528 550 555 572 592 600 605 624 640 650 660 676 704 715 726 740 750 771 780 800 814 825 832 845 858 880 888 925 960 962 968 975 1000 1014 1028 1040 1056 1100 1110 1144 1184 1200 1210 1221 1248 1285 1300 1320 1352 1369 1375 1408 1430 1443 1452 1480 1500 1542 1560 1573 1600 1625 1628 1650 1664 1690 1716 1760 1776 1815 1850 1859 1920 1924 1936 1950 2000 2028 2035 2056 2080 2112 2145 2200 2220 2288 2368 2400 2405 2420 2442 2496 2535 2570 2600 2640 2704 2738 2750 2775 2827 2860 2886 2904 2960 3000 3025 3084 3120 3146 3200 3250 3256 3300 3341 3380 3432 3520 3552 3575 3630 3700 3718 3848 3855 3872 3900 4000 4056 4070 4107 4112 4125 4160 4224 4225 4290 4400 4440 4477 4576 4625 4719 4736 4800 4810 4840 4875 4884 4992 5070 5140 5200 5280 5291 5408 5476 5500 5550 5577 5654 5720 5772 5808 5920 6000 6050 6105 6168 6240 6253 6292 6425 6500 6512 6600 6682 6760 6845 6864 7040 7104 7150 7215 7260 7400 7436 7696 7710 7744 7800 7865 8000 8112 8140 8214 8224 8250 8320 8450 8481 8580 8800 8880 8954 9075 9152 9250 9295 9438 9509 9600 9620 9680 9750 9768 10023 10140 10175 10280 10400 10560 10582 10725 10816 10952 11000 11100 11154 11308 11440 11544 11616 11840 12000 12025 12100 12210 12336 12480 12506 12584 12675 12850 13000 13024 13200 13364 13431 13520 13690 13728 13875 14135 14208 14300 14430 14520 14800 14872 15059 15125 15392 15420 15488 15600 15730 15873 16000 16224 16280 16428 16448 16500 16705 16900 16962 17160 17600 17760 17797 17875 17908 18150 18304 18500 18590 18759 18876 19018 19240 19275 19360 19500 19536 20046 20280 20350 20449 20535 20560 20800 21120 21125 21164 21450 21632 21904 22000 22200 22308 22385 22616 22880 23088 23232 23595 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177098658880 178379331000 179491884000 179865825425 185767824000 186671559360 190271286400 194449541000 196217264100 201248476000 204344606400 207537490875 209298415040 212126772000 212518390656 215838990510 219543792000 221373323600 223957448000 230228256544 233339449200 237839108000 239322512000 241498171200 245271580125 251158098048 252258864000 255430758000 261623018800 265647988320 268748937600 276716654500 282835696000 285406929600 287785320680 291674311500 301872714000 311119265600 313947622560 327028773500 332059985400 335936172000 340574344000 345342384816 354197317760 356758662000 358983768000 359731650850 373343118720 388899082000 392434528200 402496952000 408689212800 415074981750 418596830080 424253544000 431677981020 442746647200 447914896000 460456513088 466678898400 475678216000 482996342400 490543160250 510861516000 523246037600 531295976640 539597476275 553433309000 570813859200 575570641360 583348623000 603745428000 622238531200 627895245120 654057547000 664119970800 671872344000 681148688000 690684769632 713517324000 717967536000 719463301700 777798164000 784869056400 804993904000 830149963500 848507088000 863355962040 885493294400 899329127125 920913026176 933357796800 951356432000 981086320500 1021723032000 1046492075200 1062591953280 1079194952550 1106866618000 1151141282720 1166697246000 1207490856000 1255790490240 1308115094000 1328239941600 1343744688000 1381369539264 1427034648000 1438926603400 1555596328000 1569738112800 1660299927000 1726711924080 1770986588800 1798658254250 1866715593600 1962172641000 2043446064000 2092984150400 2158389905100 2213733236000 2302282565440 2333394492000 2414981712000 2616230188000 2656479883200 2697987381375 2762739078528 2854069296000 2877853206800 3111192656000 3139476225600 3320599854000 3453423848160 3597316508500 3924345282000 4316779810200 4427466472000 4604565130880 4666788984000 5232460376000 5312959766400 5395974762750 5755706413600 6278952451200 6641199708000 6906847696320 7194633017000 7848690564000 8633559620400 8854932944000 9333577968000 10464920752000 10791949525500 11511412827200 13282399416000 13813695392640 14389266034000 15697381128000 17267119240800 21583899051000 23022825654400 26564798832000 28778532068000 31394762256000 34534238481600 43167798102000 57557064136000 69068476963200 86335596204000 115114128272000 172671192408000 345342384816000
- Sum of all divisors σ(n): 1405857506770080
- Sum of proper divisors (its aliquot sum) s(n): 1060515121954080
- 345342384816000 is an abundant number, because the sum of its proper divisors (1060515121954080) is greater than itself. Its abundance is 715172737138080
Bases of 345342384816000
- Binary: 10011101000010110010010100010110000111111100000002
- Hexadecimal: 0x13A164A2C3F80
- Base-36: 3EEW3NFYIO
Squares and roots of 345342384816000
- 345342384816000 squared (3453423848160002) is 119261362750402227353856000000
- 345342384816000 cubed (3453423848160003) is 41186003428629974157618860153450496000000000
-
The
square root of 345342384816000 is 18583390.0248582201 -
The
cube root of 345342384816000 is 70158.9845455435
Scales and comparisons
How big is 345342384816000?- 345,342,384,816,000 seconds is equal to 10,980,819 years, 32 weeks, 2 days, 18 hours, 40 minutes.
-
To count from 1 to 345,342,384,816,000 would take you about twenty-seven million, four hundred fifty-two thousand and forty-nine 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 345342384816000 cubic inches would be around 5846.6 feet tall.
Recreational maths with 345342384816000
- 345342384816000 backwards is 000618483243543
- The number of decimal digits it has is: 15
- The sum of 345342384816000's digits is 51
- More coming soon!
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Cite this page
MLA style:
"Number 345342384816000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 345342384816000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/345342384816000/
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The information we have on file for 345342384816000 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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