23928435148800
23,928,435,148,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 23928435148800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3456 divisors.
23928435148800 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 23928435148800:
211 × 3 × 52 × 75 × 13 × 23 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 13 × 23 × 31)See below for interesting mathematical facts about the number 23928435148800 from the Numbermatics database.
Names of 23928435148800
- Cardinal: 23928435148800 can be written as Twenty-three trillion, nine hundred twenty-eight billion, four hundred thirty-five million, one hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.39284351488 × 1013
Factors of 23928435148800
Divisors of 23928435148800
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 23 24 25 26 28 30 31 32 35 39 40 42 46 48 49 50 52 56 60 62 64 65 69 70 75 78 80 84 91 92 93 96 98 100 104 105 112 115 120 124 128 130 138 140 147 150 155 156 160 161 168 175 182 184 186 192 195 196 200 208 210 217 224 230 240 245 248 256 260 273 276 280 294 299 300 310 312 320 322 325 336 343 345 350 364 368 372 384 390 392 400 403 416 420 434 448 455 460 465 480 483 490 496 512 520 525 546 552 560 575 588 598 600 620 624 637 640 644 650 651 672 686 690 700 713 728 735 736 744 768 775 780 784 800 805 806 832 840 868 896 897 910 920 930 960 966 975 980 992 1024 1029 1040 1050 1085 1092 1104 1120 1127 1150 1176 1196 1200 1209 1225 1240 1248 1274 1280 1288 1300 1302 1344 1365 1372 1380 1400 1426 1456 1470 1472 1488 1495 1519 1536 1550 1560 1568 1600 1610 1612 1664 1680 1715 1725 1736 1792 1794 1820 1840 1860 1911 1920 1932 1950 1960 1984 2015 2048 2058 2080 2093 2100 2139 2170 2184 2208 2240 2254 2275 2300 2325 2352 2392 2400 2401 2415 2418 2450 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64323750400 65022921600 65737459200 68366957568 69357783040 69762201600 71215580800 73625954304 74311910400 74776359840 76693702400 77188500480 79761450496 80028211200 81389235200 85458696960 86697228800 87649945600 92032442880 93470449800 96485625600 97667082240 99701813120 104036674560 106823371200 110269286400 113944929280 115040553600 119642175744 122083852800 122709923840 124627266400 128647500800 130045843200 131474918400 136733915136 142431161600 148623820800 149552719680 153387404800 154377000960 159522900992 162778470400 170917393920 173394457600 184064885760 186940899600 192971251200 199403626240 208073349120 213646742400 227889858560 230081107200 239284351488 244167705600 249254532800 257295001600 260091686400 262949836800 284862323200 299105439360 306774809600 319045801984 341834787840 346788915200 368129771520 373881799200 385942502400 398807252480 427293484800 460162214400 478568702976 488335411200 498509065600 520183372800 569724646400 598210878720 613549619200 683669575680 747763598400 771885004800 797614504960 854586969600 920324428800 957137405952 997018131200 1040366745600 1139449292800 1196421757440 1495527196800 1595229009920 1709173939200 1840648857600 1994036262400 2392843514880 2991054393600 3418347878400 3988072524800 4785687029760 5982108787200 7976145049600 11964217574400 23928435148800
- Sum of all divisors σ(n): 107052828180480
- Sum of proper divisors (its aliquot sum) s(n): 83124393031680
- 23928435148800 is an abundant number, because the sum of its proper divisors (83124393031680) is greater than itself. Its abundance is 59195957882880
Bases of 23928435148800
- Binary: 1010111000011010001011110000010001000000000002
- Hexadecimal: 0x15C345E08800
- Base-36: 8HCKKH1XC
Squares and roots of 23928435148800
- 23928435148800 squared (239284351488002) is 572570008670327278141440000
- 23928435148800 cubed (239284351488003) is 13700704320615779993879066833846272000000
-
The
square root of 23928435148800 is 4891669.9754582793 -
The
cube root of 23928435148800 is 28816.2922014933
Scales and comparisons
How big is 23928435148800?- 23,928,435,148,800 seconds is equal to 760,850 years, 11 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 23,928,435,148,800 would take you about one million, nine hundred two thousand, one hundred twenty-five 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 23928435148800 cubic inches would be around 2401.4 feet tall.
Recreational maths with 23928435148800
- 23928435148800 backwards is 00884153482932
- The number of decimal digits it has is: 14
- The sum of 23928435148800's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 23928435148800 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 23928435148800 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/23928435148800/
Chicago style:
Numbermatics. 2024. "Number 23928435148800 - Facts about the integer". https://numbermatics.com/n/23928435148800/
The information we have on file for 23928435148800 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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