148040104844016000
148,040,104,844,016,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 148040104844016000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
148040104844016000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 148040104844016000:
27 × 32 × 53 × 7 × 11 × 61 × 769 × 284623
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 61 × 769 × 284623)See below for interesting mathematical facts about the number 148040104844016000 from the Numbermatics database.
Names of 148040104844016000
- Cardinal: 148040104844016000 can be written as One hundred forty-eight quadrillion, forty trillion, one hundred four billion, eight hundred forty-four million, sixteen thousand.
Scientific notation
- Scientific notation: 1.48040104844016 × 1017
Factors of 148040104844016000
Divisors of 148040104844016000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 50 55 56 60 61 63 64 66 70 72 75 77 80 84 88 90 96 99 100 105 110 112 120 122 125 126 128 132 140 144 150 154 160 165 168 175 176 180 183 192 198 200 210 220 224 225 231 240 244 250 252 264 275 280 288 300 305 308 315 320 330 336 350 352 360 366 375 384 385 396 400 420 427 440 448 450 462 480 488 495 500 504 525 528 549 550 560 576 600 610 616 630 640 660 671 672 693 700 704 720 732 750 769 770 792 800 825 840 854 875 880 896 900 915 924 960 976 990 1000 1008 1050 1056 1098 1100 1120 1125 1152 1155 1200 1220 1232 1260 1281 1320 1342 1344 1375 1386 1400 1408 1440 1464 1500 1525 1538 1540 1575 1584 1600 1650 1680 1708 1750 1760 1800 1830 1848 1920 1925 1952 1980 2000 2013 2016 2100 2112 2135 2196 2200 2240 2250 2307 2310 2400 2440 2464 2475 2520 2562 2625 2640 2684 2688 2745 2750 2772 2800 2880 2928 3000 3050 3076 3080 3150 3168 3200 3300 3355 3360 3416 3465 3500 3520 3600 3660 3696 3843 3845 3850 3904 3960 4000 4026 4032 4125 4200 4224 4270 4392 4400 4480 4500 4575 4614 4620 4697 4800 4880 4928 4950 5040 5124 5250 5280 5368 5383 5490 5500 5544 5600 5760 5775 5856 6000 6039 6100 6152 6160 6300 6336 6405 6600 6710 6720 6832 6921 6930 7000 7040 7200 7320 7392 7625 7686 7690 7700 7808 7875 7920 8000 8052 8064 8250 8400 8459 8540 8784 8800 9000 9150 9228 9240 9394 9600 9625 9760 9856 9900 10065 10080 10248 10500 10560 10675 10736 10766 10980 11000 11088 11200 11535 11550 11712 12000 12078 12200 12304 12320 12375 12600 12672 12810 13200 13420 13440 13664 13725 13842 13860 14000 14091 14400 14640 14784 15250 15372 15380 15400 15750 15840 16000 16104 16149 16500 16775 16800 16918 17080 17325 17568 17600 18000 18300 18456 18480 18788 19215 19225 19250 19520 19800 20130 20160 20496 21000 21120 21350 21472 21532 21960 22000 22176 22400 22875 23070 23100 23424 23485 24000 24156 24400 24608 24640 24750 25200 25377 25620 26400 26840 26915 27328 27450 27684 27720 28000 28182 28800 28875 29280 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1028056283639000 1057429320314400 1121515945788000 1156563319093875 1174921467016000 1184320838752128 1213443482328000 1233667540366800 1321786650393000 1345819134945600 1409905760419200 1480401048440160 1495354594384000 1542084425458500 1644890053822400 1682273918682000 1762382200524000 1850501310550200 1922598764208000 1973868064586880 2056112567278000 2114858640628800 2243031891576000 2313126638187750 2349842934032000 2426886964656000 2467335080733600 2643573300786000 2691638269891200 2960802096880320 3084168850917000 3289780107644800 3364547837364000 3524764401048000 3701002621100400 4112225134556000 4229717281257600 4486063783152000 4626253276375500 4934670161467200 5287146601572000 5921604193760640 6168337701834000 6729095674728000 7049528802096000 7402005242200800 8224450269112000 9252506552751000 9869340322934400 10574293203144000 12336675403668000 13458191349456000 14804010484401600 16448900538224000 18505013105502000 21148586406288000 24673350807336000 29608020968803200 37010026211004000 49346701614672000 74020052422008000 148040104844016000
- Sum of all divisors σ(n): 674579744533094400
- Sum of proper divisors (its aliquot sum) s(n): 526539639689078400
- 148040104844016000 is an abundant number, because the sum of its proper divisors (526539639689078400) is greater than itself. Its abundance is 378499534845062400
Bases of 148040104844016000
- Binary: 10000011011111000110110000111001011011110100111001100000002
- Hexadecimal: 0x20DF1B0E5BD3980
- Base-36: 14HNU5ALW0W0
Squares and roots of 148040104844016000
- 148040104844016000 squared (1480401048440160002) is 21915872642227249547691008256000000
- 148040104844016000 cubed (1480401048440160003) is 3244428083703423978676204076327072648196096000000000
-
The
square root of 148040104844016000 is 384759801.4918086531 -
The
cube root of 148040104844016000 is 529005.0216658701
Scales and comparisons
How big is 148040104844016000?- 148,040,104,844,016,000 seconds is equal to 4,707,217,415 years, 48 weeks, 2 days, 8 hours.
-
To count from 1 to 148,040,104,844,016,000 would take you about fourteen billion, one hundred twenty-one million, six hundred fifty-two thousand, two hundred forty-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 148040104844016000 cubic inches would be around 44083.8 feet tall.
Recreational maths with 148040104844016000
- 148040104844016000 backwards is 000610448401040841
- 148040104844016000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 148040104844016000's digits is 45
- More coming soon!
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Cite this page
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"Number 148040104844016000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
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Numbermatics. (2024). Number 148040104844016000 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/148040104844016000/
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The information we have on file for 148040104844016000 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 148040104844016000, math, Factors of 148040104844016000, curriculum, school, college, exams, university, Prime factorization of 148040104844016000, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-eight quadrillion, forty trillion, one hundred four billion, eight hundred forty-four million, sixteen thousand.