38275038648000
38,275,038,648,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 38275038648000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4032 divisors.
38275038648000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.
Prime factorization of 38275038648000:
26 × 33 × 53 × 7 × 11 × 372 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 37 × 37 × 41 × 41)See below for interesting mathematical facts about the number 38275038648000 from the Numbermatics database.
Names of 38275038648000
- Cardinal: 38275038648000 can be written as Thirty-eight trillion, two hundred seventy-five billion, thirty-eight million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 3.8275038648 × 1013
Factors of 38275038648000
Divisors of 38275038648000
- Number of divisors d(n): 4032
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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 27 28 30 32 33 35 36 37 40 41 42 44 45 48 50 54 55 56 60 63 64 66 70 72 74 75 77 80 82 84 88 90 96 99 100 105 108 110 111 112 120 123 125 126 132 135 140 144 148 150 154 160 164 165 168 175 176 180 185 189 192 198 200 205 210 216 220 222 224 225 231 240 246 250 252 259 264 270 275 280 287 288 296 297 300 308 315 320 328 330 333 336 350 352 360 369 370 375 378 385 396 400 407 410 420 432 440 444 448 450 451 462 480 492 495 500 504 518 525 528 540 550 555 560 574 576 592 594 600 615 616 630 656 660 666 672 675 693 700 704 720 738 740 750 756 770 777 792 800 814 820 825 840 861 864 875 880 888 900 902 924 925 945 960 984 990 999 1000 1008 1025 1036 1050 1056 1080 1100 1107 1110 1120 1125 1148 1155 1184 1188 1200 1221 1230 1232 1260 1295 1312 1320 1332 1344 1350 1353 1369 1375 1386 1400 1435 1440 1476 1480 1485 1500 1512 1517 1540 1554 1575 1584 1600 1628 1640 1650 1665 1680 1681 1722 1728 1750 1760 1776 1800 1804 1845 1848 1850 1890 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116692191000 119609495775 121508059200 124269606000 127583462160 128872184000 129307563000 132899439750 133362504000 136696566600 139181958720 141759402400 144981207000 147780072000 151885074000 153100154592 155589588000 159479327700 165692808000 170111282880 170870708250 172410084000 173977448400 177199253000 182262088800 186707505600 191375193240 193308276000 199349159625 202513432000 206892100800 212639103600 217471810500 218714506560 227827611000 231969931200 233384382000 239218991550 248539212000 255166924320 258615126000 265798879500 273393133200 283518804800 289962414000 303770148000 306200309184 311179176000 318958655400 341741416500 344820168000 347954896800 354398506000 364524177600 382750386480 386616552000 398698319250 425278207200 434943621000 455655222000 466768764000 478437983100 497078424000 510333848640 517230252000 531597759000 546786266400 579924828000 598047478875 607540296000 637917310800 683482833000 695909793600 708797012000 765500772960 797396638500 850556414400 869887242000 911310444000 933537528000 956875966200 1034460504000 1063195518000 1093572532800 1159849656000 1196094957750 1275834621600 1366965666000 1417594024000 1531001545920 1594793277000 1739774484000 1822620888000 1913751932400 2126391036000 2392189915500 2551669243200 2733931332000 3189586554000 3479548968000 3827503864800 4252782072000 4784379831000 5467862664000 6379173108000 7655007729600 9568759662000 12758346216000 19137519324000 38275038648000
- Sum of all divisors σ(n): 184433122298880
- Sum of proper divisors (its aliquot sum) s(n): 146158083650880
- 38275038648000 is an abundant number, because the sum of its proper divisors (146158083650880) is greater than itself. Its abundance is 107883045002880
Bases of 38275038648000
- Binary: 10001011001111100110100001010100010110110000002
- Hexadecimal: 0x22CF9A1516C0
- Base-36: DKFB5S1C0
Squares and roots of 38275038648000
- 38275038648000 squared (382750386480002) is 1464978583505893667904000000
- 38275038648000 cubed (382750386480003) is 56072111902180375474804077153792000000000
-
The
square root of 38275038648000 is 6186682.3619772173 -
The
cube root of 38275038648000 is 33700.6708410751
Scales and comparisons
How big is 38275038648000?- 38,275,038,648,000 seconds is equal to 1,217,027 years, 43 weeks, 3 days, 12 hours.
-
To count from 1 to 38,275,038,648,000 would take you about three million, forty-two thousand, five hundred sixty-nine 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 38275038648000 cubic inches would be around 2808.4 feet tall.
Recreational maths with 38275038648000
- 38275038648000 backwards is 00084683057283
- 38275038648000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 38275038648000's digits is 54
- More coming soon!
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MLA style:
"Number 38275038648000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 38275038648000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/38275038648000/
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Numbermatics. 2024. "Number 38275038648000 - Facts about the integer". https://numbermatics.com/n/38275038648000/
The information we have on file for 38275038648000 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 38275038648000, math, Factors of 38275038648000, curriculum, school, college, exams, university, Prime factorization of 38275038648000, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight trillion, two hundred seventy-five billion, thirty-eight million, six hundred forty-eight thousand.