48532722333978240
48,532,722,333,978,240 is an even composite number composed of six prime numbers multiplied together.
48532722333978240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 48532722333978240:
27 × 32 × 5 × 23 × 83 × 4413734861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 23 × 83 × 4413734861)See below for interesting mathematical facts about the number 48532722333978240 from the Numbermatics database.
Names of 48532722333978240
- Cardinal: 48532722333978240 can be written as Forty-eight quadrillion, five hundred thirty-two trillion, seven hundred twenty-two billion, three hundred thirty-three million, nine hundred seventy-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 4.853272233397824 × 1016
Factors of 48532722333978240
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 4413734977
Divisors of 48532722333978240
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 64 69 72 80 83 90 92 96 115 120 128 138 144 160 166 180 184 192 207 230 240 249 276 288 320 332 345 360 368 384 414 415 460 480 498 552 576 640 664 690 720 736 747 828 830 920 960 996 1035 1104 1152 1245 1328 1380 1440 1472 1494 1656 1660 1840 1909 1920 1992 2070 2208 2490 2656 2760 2880 2944 2988 3312 3320 3680 3735 3818 3984 4140 4416 4980 5312 5520 5727 5760 5976 6624 6640 7360 7470 7636 7968 8280 8832 9545 9960 10624 11040 11454 11952 13248 13280 14720 14940 15272 15936 16560 17181 19090 19920 22080 22908 23904 26496 26560 28635 29880 30544 31872 33120 34362 38180 39840 44160 45816 47808 53120 57270 59760 61088 66240 68724 76360 79680 85905 91632 95616 114540 119520 122176 132480 137448 152720 159360 171810 183264 229080 239040 244352 274896 305440 343620 366528 458160 478080 549792 610880 687240 733056 916320 1099584 1221760 1374480 1832640 2199168 2748960 3665280 5497920 10995840 4413734861 8827469722 13241204583 17654939444 22068674305 26482409166 35309878888 39723613749 44137348610 52964818332 66206022915 70619757776 79447227498 88274697220 101515901803 105929636664 132412045830 141239515552 158894454996 176549394440 198618068745 203031803606 211859273328 264824091660 282479031104 304547705409 317788909992 353098788880 366339993463 397236137490 406063607212 423718546656 507579509015 529648183320 564958062208 609095410818 635577819984 706197577760 732679986926 794472274980 812127214424 847437093312 913643116227 1015159018030 1059296366640 1099019980389 1218190821636 1271155639968 1412395155520 1465359973852 1522738527045 1588944549960 1624254428848 1694874186624 1827286232454 1831699967315 2030318036060 2118592733280 2198039960778 2436381643272 2542311279936 2824790311040 2930719947704 3045477054090 3177889099920 3248508857696 3297059941167 3654572464908 3663399934630 4060636072120 4237185466560 4396079921556 4568215581135 4872763286544 5084622559872 5495099901945 5861439895408 6090954108180 6355778199840 6497017715392 6594119882334 7309144929816 7326799869260 8121272144240 8425819849649 8474370933120 8792159843112 9136431162270 9745526573088 10990199803890 11722879790816 12181908216360 12711556399680 12994035430784 13188239764668 14618289859632 14653599738520 16242544288480 16485299705835 16851639699298 17584319686224 18272862324540 19491053146176 21980399607780 23445759581632 24363816432720 25277459548947 25423112799360 26376479529336 29236579719264 29307199477040 32485088576960 32970599411670 33703279398596 35168639372448 36545724649080 38982106292352 42129099248245 43960799215560 46891519163264 48727632865440 50554919097894 52752959058672 58473159438528 58614398954080 64970177153920 65941198823340 67406558797192 70337278744896 73091449298160 75832378646841 84258198496490 87921598431120 97455265730880 101109838195788 105505918117344 116946318877056 117228797908160 126387297744735 131882397646680 134813117594384 140674557489792 146182898596320 151664757293682 168516396992980 175843196862240 194910531461760 202219676391576 211011836234688 234457595816320 252774595489470 263764795293360 269626235188768 292365797192640 303329514587364 337032793985960 351686393724480 379161893234205 404439352783152 422023672469376 505549190978940 527529590586720 539252470377536 584731594385280 606659029174728 674065587971920 703372787448960 758323786468410 808878705566304 1011098381957880 1055059181173440 1078504940755072 1213318058349456 1348131175943840 1516647572936820 1617757411132608 2022196763915760 2110118362346880 2426636116698912 2696262351887680 3033295145873640 3235514822265216 4044393527831520 4853272233397824 5392524703775360 6066590291747280 8088787055663040 9706544466795648 12133180583494560 16177574111326080 24266361166989120 48532722333978240
- Sum of all divisors σ(n): 176982999792842880
- Sum of proper divisors (its aliquot sum) s(n): 128450277458864640
- 48532722333978240 is an abundant number, because the sum of its proper divisors (128450277458864640) is greater than itself. Its abundance is 79917555124886400
Bases of 48532722333978240
- Binary: 101011000110110001000000111110101011001100001110100000002
- Hexadecimal: 0xAC6C40FAB30E80
- Base-36: D9VEWUFW680
Squares and roots of 48532722333978240
- 48532722333978240 squared (485327223339782402) is 2355425137147030263480024793497600
- 48532722333978240 cubed (485327223339782403) is 114315194159629434659186584479721384155891892224000
-
The
square root of 48532722333978240 is 220301435.1609590399 -
The
cube root of 48532722333978240 is 364763.6484098585
Scales and comparisons
How big is 48532722333978240?- 48,532,722,333,978,240 seconds is equal to 1,543,190,448 years, 33 weeks, 6 days, 22 hours, 24 minutes.
-
To count from 1 to 48,532,722,333,978,240 would take you about four billion, six hundred twenty-nine million, five hundred seventy-one thousand, three hundred forty-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 48532722333978240 cubic inches would be around 30397 feet tall.
Recreational maths with 48532722333978240
- 48532722333978240 backwards is 04287933322723584
- 48532722333978240 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48532722333978240's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 48532722333978240 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
APA style:
Numbermatics. (2024). Number 48532722333978240 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/48532722333978240/
Chicago style:
Numbermatics. 2024. "Number 48532722333978240 - Facts about the integer". https://numbermatics.com/n/48532722333978240/
The information we have on file for 48532722333978240 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 48532722333978240, math, Factors of 48532722333978240, curriculum, school, college, exams, university, Prime factorization of 48532722333978240, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, five hundred thirty-two trillion, seven hundred twenty-two billion, three hundred thirty-three million, nine hundred seventy-eight thousand, two hundred forty.