145713512448000
145,713,512,448,000 is an even composite number composed of six prime numbers multiplied together.
145713512448000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 145713512448000:
217 × 32 × 53 × 73 × 43 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 43 × 67)See below for interesting mathematical facts about the number 145713512448000 from the Numbermatics database.
Names of 145713512448000
- Cardinal: 145713512448000 can be written as One hundred forty-five trillion, seven hundred thirteen billion, five hundred twelve million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.45713512448 × 1014
Factors of 145713512448000
Divisors of 145713512448000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 43 45 48 49 50 56 60 63 64 67 70 72 75 80 84 86 90 96 98 100 105 112 120 125 126 128 129 134 140 144 147 150 160 168 172 175 180 192 196 200 201 210 215 224 225 240 245 250 252 256 258 268 280 288 294 300 301 315 320 335 336 343 344 350 360 375 384 387 392 400 402 420 430 441 448 450 469 480 490 500 504 512 516 525 536 560 576 588 600 602 603 630 640 645 670 672 686 688 700 720 735 750 768 774 784 800 804 840 860 875 882 896 900 903 938 960 980 1000 1005 1008 1024 1029 1032 1050 1072 1075 1120 1125 1152 1176 1200 1204 1206 1225 1260 1280 1290 1340 1344 1372 1376 1400 1407 1440 1470 1500 1505 1536 1548 1568 1575 1600 1608 1675 1680 1715 1720 1750 1764 1792 1800 1806 1876 1920 1935 1960 2000 2010 2016 2048 2058 2064 2100 2107 2144 2150 2205 2240 2250 2304 2345 2352 2400 2408 2412 2450 2520 2560 2580 2625 2680 2688 2709 2744 2752 2800 2814 2880 2881 2940 3000 3010 3015 3072 3087 3096 3136 3150 3200 3216 3225 3283 3350 3360 3430 3440 3500 3528 3584 3600 3612 3675 3752 3840 3870 3920 4000 4020 4032 4096 4116 4128 4200 4214 4221 4288 4300 4410 4480 4500 4515 4608 4690 4704 4800 4816 4824 4900 5025 5040 5120 5145 5160 5250 5360 5375 5376 5418 5488 5504 5600 5628 5760 5762 5880 6000 6020 6030 6125 6144 6174 6192 6272 6300 6321 6400 6432 6450 6566 6700 6720 6860 6880 7000 7035 7056 7168 7200 7224 7350 7504 7525 7680 7740 7840 7875 8000 8040 8064 8192 8232 8256 8375 8400 8428 8442 8575 8576 8600 8643 8820 8960 9000 9030 9216 9380 9408 9600 9632 9648 9675 9800 9849 10050 10080 10240 10290 10320 10500 10535 10720 10750 10752 10836 10976 11008 11025 11200 11256 11520 11524 11725 11760 12000 12040 12060 12250 12288 12348 12384 12544 12600 12642 12800 12864 12900 13132 13400 13440 13545 13720 13760 14000 14070 14112 14336 14400 14405 14448 14700 14749 15008 15050 15075 15360 15435 15480 15680 15750 16000 16080 16125 16128 16384 16415 16464 16512 16750 16800 16856 16884 17150 17152 17200 17286 17640 17920 18000 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1165708099584 1214279270400 1301013504000 1387747737600 1457135124480 1486872576000 1517849088000 1619039027200 1694343168000 1734684672000 1821418905600 1942846832640 2023798784000 2081621606400 2174828544000 2276773632000 2312912896000 2428558540800 2602027008000 2914270248960 2973745152000 3035698176000 3238078054400 3388686336000 3469369344000 3642837811200 4047597568000 4163243212800 4553547264000 4857117081600 5204054016000 5828540497920 6071396352000 6938738688000 7285675622400 8095195136000 9107094528000 9714234163200 10408108032000 12142792704000 14571351244800 16190390272000 18214189056000 20816216064000 24285585408000 29142702489600 36428378112000 48571170816000 72856756224000 145713512448000
- Sum of all divisors σ(n): 636250001587200
- Sum of proper divisors (its aliquot sum) s(n): 490536489139200
- 145713512448000 is an abundant number, because the sum of its proper divisors (490536489139200) is greater than itself. Its abundance is 344822976691200
Bases of 145713512448000
- Binary: 1000010010000110100100100010011000000000000000002
- Hexadecimal: 0x848692260000
- Base-36: 1FNFV33LS0
Squares and roots of 145713512448000
- 145713512448000 squared (1457135124480002) is 21232427709933450952704000000
- 145713512448000 cubed (1457135124480003) is 3093851619412648038648431763259392000000000
-
The
square root of 145713512448000 is 12071185.2130600665 -
The
cube root of 145713512448000 is 52621.9101867167
Scales and comparisons
How big is 145713512448000?- 145,713,512,448,000 seconds is equal to 4,633,238 years, 50 weeks, 4 days, 16 hours.
-
To count from 1 to 145,713,512,448,000 would take you about eleven million, five hundred eighty-three thousand and ninety-seven 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 145713512448000 cubic inches would be around 4385.2 feet tall.
Recreational maths with 145713512448000
- 145713512448000 backwards is 000844215317541
- 145713512448000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 145713512448000's digits is 45
- More coming soon!
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"Number 145713512448000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 145713512448000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/145713512448000/
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The information we have on file for 145713512448000 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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