2013948297216000
2,013,948,297,216,000 is an even composite number composed of seven prime numbers multiplied together.
2013948297216000 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 2013948297216000:
217 × 32 × 53 × 41 × 43 × 61 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 41 × 43 × 61 × 127)See below for interesting mathematical facts about the number 2013948297216000 from the Numbermatics database.
Names of 2013948297216000
- Cardinal: 2013948297216000 can be written as Two quadrillion, thirteen trillion, nine hundred forty-eight billion, two hundred ninety-seven million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 2.013948297216 × 1015
Factors of 2013948297216000
Divisors of 2013948297216000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 43 45 48 50 60 61 64 72 75 80 82 86 90 96 100 120 122 123 125 127 128 129 144 150 160 164 172 180 183 192 200 205 215 225 240 244 246 250 254 256 258 288 300 305 320 328 344 360 366 369 375 381 384 387 400 410 430 450 480 488 492 500 508 512 516 549 576 600 610 615 635 640 645 656 688 720 732 738 750 762 768 774 800 820 860 900 915 960 976 984 1000 1016 1024 1025 1032 1075 1098 1125 1143 1152 1200 1220 1230 1270 1280 1290 1312 1376 1440 1464 1476 1500 1524 1525 1536 1548 1600 1640 1720 1763 1800 1830 1845 1905 1920 1935 1952 1968 2000 2032 2048 2050 2064 2150 2196 2250 2286 2304 2400 2440 2460 2501 2540 2560 2580 2623 2624 2745 2752 2880 2928 2952 3000 3048 3050 3072 3075 3096 3175 3200 3225 3280 3440 3526 3600 3660 3690 3810 3840 3870 3904 3936 4000 4064 4096 4100 4128 4300 4392 4500 4572 4575 4608 4800 4880 4920 5002 5080 5120 5125 5160 5207 5246 5248 5289 5375 5461 5490 5504 5715 5760 5856 5904 6000 6096 6100 6144 6150 6192 6350 6400 6450 6560 6880 7052 7200 7320 7380 7503 7620 7625 7680 7740 7747 7808 7869 7872 8000 8128 8192 8200 8256 8600 8784 8815 9000 9144 9150 9216 9225 9525 9600 9675 9760 9840 10004 10160 10240 10250 10320 10414 10492 10496 10578 10750 10922 10980 11008 11430 11520 11712 11808 12000 12192 12200 12288 12300 12384 12505 12700 12800 12900 13115 13120 13725 13760 14104 14400 14640 14760 15006 15240 15250 15360 15375 15480 15494 15616 15621 15738 15744 15867 15875 16000 16125 16256 16383 16384 16400 16512 17200 17568 17630 18000 18288 18300 18432 18450 19050 19200 19350 19520 19680 20008 20320 20480 20500 20640 20828 20984 20992 21156 21500 21844 21960 22016 22509 22860 22875 23040 23241 23424 23607 23616 24000 24384 24400 24576 24600 24768 25010 25400 25600 25800 26035 26230 26240 26445 27305 27450 27520 28208 28575 28800 29280 29520 30012 30480 30500 30720 30750 30960 30988 31232 31242 31476 31488 31734 31750 32000 32250 32512 32766 32768 32800 33024 34400 35136 35260 36000 36576 36600 36864 36900 37515 38100 38400 38700 38735 39040 39345 39360 40016 40640 40960 41000 41280 41656 41968 41984 42312 43000 43688 43920 44032 44075 45018 45720 45750 46080 46125 46482 46848 46863 47214 47232 47625 48000 48375 48768 48800 49149 49152 49200 49536 50020 50800 51200 51600 52070 52460 52480 52890 54610 54900 55040 56416 57150 57600 58560 59040 60024 60960 61000 61440 61500 61920 61976 62464 62484 62525 62952 62976 63468 63500 64000 64500 65024 65532 65536 65575 65600 66048 68625 68800 69723 70272 70520 72000 73152 73200 73728 73800 75030 76200 76800 77400 77470 78080 78105 78690 78720 79335 80032 81280 81915 81920 82000 82560 83312 83936 83968 84624 86000 87376 87840 88064 88150 90036 91440 91500 92160 92250 92964 93696 93726 94428 94464 95250 96000 96750 97536 97600 98298 98304 98400 99072 100040 101600 102400 103200 104140 104920 104960 105780 107543 109220 109800 110080 112545 112832 114300 115200 116205 117120 118035 118080 120048 121920 122000 122880 123000 123840 123952 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13426321981440 13985752064000 15612002304000 15733971072000 15857860608000 16111586377728 16373563392000 16507772928000 16782902476800 20139482972160 20978628096000 22377203302400 23418003456000 24560345088000 25174353715200 26852643962880 27971504128000 31467942144000 33015545856000 33565804953600 40278965944320 41957256192000 44754406604800 46836006912000 49120690176000 50348707430400 55943008256000 62935884288000 67131609907200 80557931888640 83914512384000 100697414860800 111886016512000 125871768576000 134263219814400 167829024768000 201394829721600 223772033024000 251743537152000 335658049536000 402789659443200 503487074304000 671316099072000 1006974148608000 2013948297216000
- Sum of all divisors σ(n): 7796682372390912
- Sum of proper divisors (its aliquot sum) s(n): 5782734075174912
- 2013948297216000 is an abundant number, because the sum of its proper divisors (5782734075174912) is greater than itself. Its abundance is 3768785777958912
Bases of 2013948297216000
- Binary: 1110010011110101100111000001101101000000000000000002
- Hexadecimal: 0x727ACE0DA0000
- Base-36: JTVV2PK3K0
Squares and roots of 2013948297216000
- 2013948297216000 squared (20139482972160002) is 4055987743859225873350656000000
- 2013948297216000 cubed (20139482972160003) is 8168549610274253508046484123676573696000000000
-
The
square root of 2013948297216000 is 44877035.2988697327 -
The
cube root of 2013948297216000 is 126284.3226035093
Scales and comparisons
How big is 2013948297216000?- 2,013,948,297,216,000 seconds is equal to 64,037,326 years, 15 weeks, 4 days, 8 hours.
-
To count from 1 to 2,013,948,297,216,000 would take you about one hundred ninety-two million, one hundred eleven thousand, nine hundred seventy-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 2013948297216000 cubic inches would be around 10523.7 feet tall.
Recreational maths with 2013948297216000
- 2013948297216000 backwards is 0006127928493102
- The number of decimal digits it has is: 16
- The sum of 2013948297216000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 2013948297216000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
APA style:
Numbermatics. (2024). Number 2013948297216000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/2013948297216000/
Chicago style:
Numbermatics. 2024. "Number 2013948297216000 - Facts about the integer". https://numbermatics.com/n/2013948297216000/
The information we have on file for 2013948297216000 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!
Keywords: Divisors of 2013948297216000, math, Factors of 2013948297216000, curriculum, school, college, exams, university, Prime factorization of 2013948297216000, STEM, science, technology, engineering, physics, economics, calculator, two quadrillion, thirteen trillion, nine hundred forty-eight billion, two hundred ninety-seven million, two hundred sixteen thousand.