242508672
242,508,672 is an even composite number composed of six prime numbers multiplied together.
242508672 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 242508672:
27 × 32 × 7 × 17 × 29 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 17 × 29 × 61)See below for interesting mathematical facts about the number 242508672 from the Numbermatics database.
Names of 242508672
- Cardinal: 242508672 can be written as Two hundred forty-two million, five hundred eight thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 2.42508672 × 108
Factors of 242508672
Divisors of 242508672
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 29 32 34 36 42 48 51 56 58 61 63 64 68 72 84 87 96 102 112 116 119 122 126 128 136 144 153 168 174 183 192 203 204 224 232 238 244 252 261 272 288 306 336 348 357 366 384 406 408 427 448 464 476 488 493 504 522 544 549 576 609 612 672 696 714 732 812 816 854 896 928 952 976 986 1008 1037 1044 1071 1088 1098 1152 1218 1224 1281 1344 1392 1428 1464 1479 1624 1632 1708 1769 1827 1856 1904 1952 1972 2016 2074 2088 2142 2176 2196 2436 2448 2562 2688 2784 2856 2928 2958 3111 3248 3264 3416 3451 3538 3654 3712 3808 3843 3904 3944 4032 4148 4176 4284 4392 4437 4872 4896 5124 5307 5568 5712 5856 5916 6222 6496 6528 6832 6902 7076 7259 7308 7616 7686 7808 7888 8064 8296 8352 8568 8784 8874 9333 9744 9792 10248 10353 10614 11136 11424 11712 11832 12383 12444 12992 13664 13804 14152 14518 14616 15232 15372 15776 15921 16592 16704 17136 17568 17748 18666 19488 19584 20496 20706 21228 21777 22848 23424 23664 24766 24888 25984 27328 27608 28304 29036 29232 30073 30744 31059 31552 31842 33184 33408 34272 35136 35496 37149 37332 38976 40992 41412 42456 43554 45696 47328 49532 49776 54656 55216 56608 58072 58464 60146 61488 62118 63104 63684 65331 66368 68544 70272 70992 74298 74664 77952 81984 82824 84912 87108 90219 94656 99064 99552 110432 111447 113216 116144 116928 120292 122976 124236 127368 130662 132736 137088 141984 148596 149328 163968 165648 169824 174216 180438 189312 198128 199104 210511 220864 222894 226432 232288 233856 240584 245952 248472 254736 261324 270657 283968 297192 298656 331296 339648 348432 360876 396256 398208 421022 441728 445788 464576 481168 491904 496944 509472 522648 541314 567936 594384 597312 631533 662592 679296 696864 721752 792512 842044 891576 929152 962336 993888 1018944 1045296 1082628 1188768 1194624 1263066 1325184 1393728 1443504 1585024 1684088 1783152 1894599 1924672 1987776 2037888 2090592 2165256 2377536 2526132 2787456 2887008 3368176 3566304 3789198 3849344 3975552 4181184 4330512 4755072 5052264 5774016 6736352 7132608 7578396 8362368 8661024 10104528 11548032 13472704 14265216 15156792 17322048 20209056 26945408 30313584 34644096 40418112 60627168 80836224 121254336 242508672
- Sum of all divisors σ(n): 887889600
- Sum of proper divisors (its aliquot sum) s(n): 645380928
- 242508672 is an abundant number, because the sum of its proper divisors (645380928) is greater than itself. Its abundance is 402872256
Bases of 242508672
- Binary: 11100111010001100011100000002
- Hexadecimal: 0xE746380
- Base-36: 40DSW0
Squares and roots of 242508672
- 242508672 squared (2425086722) is 58810455995203584
- 242508672 cubed (2425086723) is 14262045583111259525480448
-
The
square root of 242508672 is 15572.6899410475 -
The
cube root of 242508672 is 623.6042855969
Scales and comparisons
How big is 242508672?- 242,508,672 seconds is equal to 7 years, 36 weeks, 6 days, 19 hours, 31 minutes, 12 seconds.
-
To count from 1 to 242,508,672 would take you about eleven 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 242508672 cubic inches would be around 52 feet tall.
Recreational maths with 242508672
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 242508672 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
APA style:
Numbermatics. (2024). Number 242508672 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/242508672/
Chicago style:
Numbermatics. 2024. "Number 242508672 - Facts about the integer". https://numbermatics.com/n/242508672/
The information we have on file for 242508672 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 242508672, math, Factors of 242508672, curriculum, school, college, exams, university, Prime factorization of 242508672, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two million, five hundred eight thousand, six hundred seventy-two.