2013457315584000
2,013,457,315,584,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 2013457315584000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
2013457315584000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 2013457315584000:
211 × 3 × 53 × 112 × 13 × 12912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 1291 × 1291)See below for interesting mathematical facts about the number 2013457315584000 from the Numbermatics database.
Names of 2013457315584000
- Cardinal: 2013457315584000 can be written as Two quadrillion, thirteen trillion, four hundred fifty-seven billion, three hundred fifteen million, five hundred eighty-four thousand.
Scientific notation
- Scientific notation: 2.013457315584 × 1015
Factors of 2013457315584000
Divisors of 2013457315584000
- Number of divisors d(n): 1728
-
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 39 40 44 48 50 52 55 60 64 65 66 75 78 80 88 96 100 104 110 120 121 125 128 130 132 143 150 156 160 165 176 192 195 200 208 220 240 242 250 256 260 264 275 286 300 312 320 325 330 352 363 375 384 390 400 416 429 440 480 484 500 512 520 528 550 572 600 605 624 640 650 660 704 715 726 750 768 780 800 825 832 858 880 960 968 975 1000 1024 1040 1056 1100 1144 1200 1210 1248 1280 1291 1300 1320 1375 1408 1430 1452 1500 1536 1560 1573 1600 1625 1650 1664 1716 1760 1815 1920 1936 1950 2000 2048 2080 2112 2145 2200 2288 2400 2420 2496 2560 2582 2600 2640 2750 2816 2860 2904 3000 3025 3072 3120 3146 3200 3250 3300 3328 3432 3520 3575 3630 3840 3872 3873 3900 4000 4125 4160 4224 4290 4400 4576 4719 4800 4840 4875 4992 5120 5164 5200 5280 5500 5632 5720 5808 6000 6050 6144 6240 6292 6400 6455 6500 6600 6656 6864 7040 7150 7260 7680 7744 7746 7800 7865 8000 8250 8320 8448 8580 8800 9075 9152 9438 9600 9680 9750 9984 10240 10328 10400 10560 10725 11000 11264 11440 11616 12000 12100 12480 12584 12800 12910 13000 13200 13312 13728 14080 14201 14300 14520 15125 15360 15488 15492 15600 15730 16000 16500 16640 16783 16896 17160 17600 17875 18150 18304 18876 19200 19360 19365 19500 19968 20656 20800 21120 21450 22000 22528 22880 23232 23595 24000 24200 24960 25168 25600 25820 26000 26400 26624 27456 28160 28402 28600 29040 30250 30720 30976 30984 31200 31460 32000 32275 33000 33280 33566 33792 34320 35200 35750 36300 36608 37752 38400 38720 38730 39000 39325 39936 41312 41600 42240 42603 42900 44000 45375 45760 46464 47190 48000 48400 49920 50336 50349 51200 51640 52000 52800 53625 54912 56320 56804 57200 58080 60500 61952 61968 62400 62920 64000 64550 66000 66560 67132 67584 68640 70400 71005 71500 72600 73216 75504 76800 77440 77460 78000 78650 79872 82624 83200 83915 84480 85206 85800 88000 90750 91520 92928 94380 96000 96800 96825 99840 100672 100698 103280 104000 105600 107250 109824 112640 113608 114400 116160 117975 121000 123904 123936 124800 125840 128000 129100 132000 133120 134264 137280 140800 142010 143000 145200 146432 151008 153600 154880 154920 156000 156211 157300 161375 165248 166400 167830 168960 170412 171600 176000 181500 183040 184613 185856 188760 192000 193600 193650 196625 199680 201344 201396 206560 208000 211200 213015 214500 219648 227216 228800 232320 235950 242000 247808 247872 249600 251680 251745 256000 258200 264000 268528 274560 281600 284020 286000 290400 292864 302016 309760 309840 312000 312422 314600 322750 330496 332800 335660 337920 340824 343200 352000 355025 363000 366080 369226 371712 377520 384000 387200 387300 393250 399360 402688 402792 413120 416000 419575 422400 426030 429000 439296 454432 457600 464640 468633 471900 484000 484125 495744 499200 503360 503490 516400 528000 537056 549120 553839 563200 568040 572000 580800 589875 604032 619520 619680 624000 624844 629200 645500 660992 665600 671320 681648 686400 704000 710050 726000 732160 738452 743424 755040 768000 774400 774600 781055 786500 805376 805584 826240 832000 839150 844800 852060 858000 878592 908864 915200 923065 929280 937266 943800 968000 968250 991488 998400 1006720 1006980 1032800 1056000 1065075 1074112 1098240 1107678 1136080 1144000 1161600 1179750 1208064 1239040 1239360 1248000 1249688 1258400 1258725 1291000 1321984 1342640 1363296 1372800 1408000 1420100 1452000 1464320 1476904 1510080 1548800 1549200 1562110 1573000 1610752 1611168 1652480 1664000 1666681 1678300 1689600 1704120 1716000 1775125 1817728 1830400 1846130 1858560 1874532 1887600 1936000 1936500 1982976 1996800 2013440 2013960 2030743 2065600 2097875 2112000 2130150 2148224 2196480 2215356 2272160 2288000 2323200 2343165 2359500 2416128 2478720 2496000 2499376 2516800 2517450 2582000 2643968 2685280 2726592 2745600 2769195 2816000 2840200 2904000 2953808 3020160 3097600 3098400 3124220 3146000 3221504 3222336 3304960 3328000 3333362 3356600 3408240 3432000 3550250 3635456 3660800 3692260 3717120 3749064 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1290677766400 1310844606500 1342304877056 1386678592000 1408012108800 1430012298000 1464332593152 1525346451200 1548813319680 1559610624000 1573013527800 1613347208000 1664014310400 1677881096320 1760015136000 1830415741440 1906683064000 1936016649600 1966266909750 2013457315584 2065084426240 2080017888000 2097351370400 2288019676800 2346686848000 2420020812000 2440554321920 2516821644480 2581355532800 2621689213000 2684609754112 2773357184000 2816024217600 2860024596000 3050692902400 3097626639360 3146027055600 3226694416000 3328028620800 3355762192640 3520030272000 3660831482880 3813366128000 3872033299200 3932533819500 4026914631168 4160035776000 4194702740800 4576039353600 4693373696000 4840041624000 5033643288960 5162711065600 5243378426000 5369219508224 5546714368000 5720049192000 6101385804800 6195253278720 6292054111200 6453388832000 6711524385280 7040060544000 7321662965760 7626732256000 7744066598400 7865067639000 8053829262336 8320071552000 8389405481600 9152078707200 9680083248000 10067286577920 10325422131200 10486756852000 11440098384000 12202771609600 12584108222400 12906777664000 13423048770560 14080121088000 15253464512000 15488133196800 15730135278000 16107658524672 16640143104000 16778810963200 18304157414400 19360166496000 20134573155840 20973513704000 22880196768000 25168216444800 25813555328000 26846097541120 30506929024000 30976266393600 31460270556000 33557621926400 36608314828800 38720332992000 40269146311680 41947027408000 45760393536000 50336432889600 51627110656000 61013858048000 62920541112000 67115243852800 77440665984000 80538292623360 83894054816000 91520787072000 100672865779200 125841082224000 134230487705600 154881331968000 167788109632000 183041574144000 201345731558400 251682164448000 335576219264000 402691463116800 503364328896000 671152438528000 1006728657792000 2013457315584000
- Sum of all divisors σ(n): 7936101044333280
- Sum of proper divisors (its aliquot sum) s(n): 5922643728749280
- 2013457315584000 is an abundant number, because the sum of its proper divisors (5922643728749280) is greater than itself. Its abundance is 3909186413165280
Bases of 2013457315584000
- Binary: 1110010011100111010100100000001000011011000000000002
- Hexadecimal: 0x7273A9010D800
- Base-36: JTPLIRRRPC
Squares and roots of 2013457315584000
- 2013457315584000 squared (20134573155840002) is 4054010361678727369261056000000
- 2013457315584000 cubed (20134573155840003) is 8162576820175371352749756131473096704000000000
-
The
square root of 2013457315584000 is 44871564.6661000669 -
The
cube root of 2013457315584000 is 126274.0594598491
Scales and comparisons
How big is 2013457315584000?- 2,013,457,315,584,000 seconds is equal to 64,021,714 years, 31 weeks, 2 days, 13 hours, 20 minutes.
-
To count from 1 to 2,013,457,315,584,000 would take you about one hundred ninety-two million, sixty-five thousand, one hundred forty-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 2013457315584000 cubic inches would be around 10522.8 feet tall.
Recreational maths with 2013457315584000
- 2013457315584000 backwards is 0004855137543102
- 2013457315584000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 2013457315584000's digits is 48
- More coming soon!
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"Number 2013457315584000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 2013457315584000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/2013457315584000/
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The information we have on file for 2013457315584000 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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