468148989672
468,148,989,672 is an even composite number composed of seven prime numbers multiplied together.
468148989672 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 468148989672:
23 × 32 × 7 × 13 × 312 × 149 × 499
(2 × 2 × 2 × 3 × 3 × 7 × 13 × 31 × 31 × 149 × 499)See below for interesting mathematical facts about the number 468148989672 from the Numbermatics database.
Names of 468148989672
- Cardinal: 468148989672 can be written as Four hundred sixty-eight billion, one hundred forty-eight million, nine hundred eighty-nine thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 4.68148989672 × 1011
Factors of 468148989672
Divisors of 468148989672
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 31 36 39 42 52 56 62 63 72 78 84 91 93 104 117 124 126 149 156 168 182 186 217 234 248 252 273 279 298 312 364 372 403 434 447 468 499 504 546 558 596 651 728 744 806 819 868 894 936 961 998 1043 1092 1116 1192 1209 1302 1341 1497 1612 1638 1736 1788 1922 1937 1953 1996 2086 2184 2232 2418 2604 2682 2821 2883 2994 3129 3224 3276 3493 3576 3627 3844 3874 3906 3992 4172 4491 4619 4836 5208 5364 5642 5766 5811 5988 6258 6487 6552 6727 6986 7254 7688 7748 7812 8344 8463 8649 8982 9238 9387 9672 10479 10728 11284 11532 11622 11976 12493 12516 12974 13454 13559 13857 13972 14508 15469 15496 15624 16926 17298 17433 17964 18476 18774 19461 20181 20958 22568 23064 23244 24986 25032 25389 25948 26908 27118 27714 27944 29016 30938 31437 32333 33852 34596 34866 35928 36952 37479 37548 38922 40362 40677 41571 41916 45409 46407 46488 49972 50778 51896 53816 54236 55428 58383 60047 60543 61876 62874 64666 67704 69192 69732 74351 74958 75096 77844 80724 81354 83142 83832 87451 90818 92814 96999 99944 101556 108283 108472 110856 112437 116766 120094 121086 122031 123752 125748 129332 136227 139221 139464 143189 148702 149916 155688 161448 162708 166284 174902 180141 181636 185628 193998 201097 203112 216566 223053 224874 233532 240188 242172 244062 251496 258664 262353 272454 278442 286378 290997 297404 299832 324849 325416 332568 349804 360282 363272 371256 387996 402194 408681 420329 429567 433132 446106 449748 467064 479539 480376 484344 488124 520457 524706 540423 544908 556884 572756 581994 594808 603291 649698 669159 699608 720564 775992 787059 804388 817362 840658 859134 866264 892212 899496 959078 966563 974547 976248 1002323 1040914 1049412 1080846 1089816 1113768 1145512 1163988 1206582 1260987 1288701 1299396 1338318 1407679 1438617 1441128 1561371 1574118 1608776 1634724 1681316 1718268 1784424 1809873 1861457 1918156 1933126 1949094 2004646 2081828 2098824 2161692 2304881 2327976 2413164 2521974 2577402 2598792 2676636 2815358 2877234 2899689 3006969 3122742 3148236 3269448 3356773 3362632 3436536 3619746 3722914 3782961 3836312 3866252 3898188 4009292 4163656 4223037 4315851 4323384 4609762 4684113 4826328 5043948 5154804 5353272 5584371 5630716 5754468 5799378 6013938 6234007 6245484 6296472 6713546 6765941 6914643 7239492 7445828 7565922 7732504 7796376 8018584 8446074 8631702 8699067 9020907 9219524 9368226 10070319 10087896 10309608 11168742 11261432 11508936 11598756 12027876 12468014 12490968 12669111 13030199 13427092 13531882 13829286 14478984 14891656 15131844 16134167 16753113 16892148 17263404 17398134 18041814 18439048 18702021 18736452 20140638 20297823 20743929 22337484 23197512 24055752 24936028 25338222 26060398 26854184 27063764 27658572 29963453 30210957 30263688 32268334 33506226 33784296 34526808 34796268 36083628 37404042 37472904 39090597 40281276 40595646 41487858 43638049 44674968 48402501 49872056 50676444 52120796 54127528 55317144 56106063 59926906 60421914 60893469 64536668 67012452 69592536 71451311 72167256 74808084 78181194 80562552 81191292 82975716 87276098 89890359 96805002 101352888 104241592 112212126 117271791 119853812 120843828 121786938 129073336 130914147 134024904 142902622 145207503 149616168 156362388 162382584 165951432 174552196 179780718 193610004 209744171 214353933 224424252 234543582 239707624 241687656 243573876 261828294 269671077 285805244 290415006 312724776 349104392 359561436 387220008 392742441 419488342 428707866 448848504 469087164 487147752 500159177 523656588 539342154 571610488 580830012 629232513 643061799 719122872 785484882 838976684 857415732 928867043 938174328 1000318354 1047313176 1078684308 1161660024 1258465026 1286123598 1500477531 1570969764 1677953368 1714831464 1857734086 1887697539 2000636708 2157368616 2516930052 2572247196 2786601129 3000955062 3141939528 3715468172 3775395078 4001273416 4501432593 5033860104 5144494392 5573202258 6001910124 6502069301 7430936344 7550790156 8359803387 9002865186 11146404516 12003820248 13004138602 15101580312 16719606774 18005730372 19506207903 22292809032 26008277204 33439213548 36011460744 39012415806 52016554408 58518623709 66878427096 78024831612 117037247418 156049663224 234074494836 468148989672
- Sum of all divisors σ(n): 1626534000000
- Sum of proper divisors (its aliquot sum) s(n): 1158385010328
- 468148989672 is an abundant number, because the sum of its proper divisors (1158385010328) is greater than itself. Its abundance is 690236020656
Bases of 468148989672
- Binary: 1101100111111111101101010101110111010002
- Hexadecimal: 0x6CFFDAAEE8
- Base-36: 5Z2BTKA0
Squares and roots of 468148989672
- 468148989672 squared (4681489896722) is 219163476530914362667584
- 468148989672 cubed (4681489896723) is 102601160110950642357183244385192448
-
The
square root of 468148989672 is 684214.1402163509 -
The
cube root of 468148989672 is 7764.7598826105
Scales and comparisons
How big is 468148989672?- 468,148,989,672 seconds is equal to 14,885 years, 35 weeks, 6 days, 2 hours, 1 minute, 12 seconds.
-
To count from 1 to 468,148,989,672 would take you about twenty-nine thousand, seven hundred seventy-one 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 468148989672 cubic inches would be around 647.1 feet tall.
Recreational maths with 468148989672
- 468148989672 backwards is 276989841864
- 468148989672 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 468148989672'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 468148989672 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 468148989672 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/468148989672/
Chicago style:
Numbermatics. 2024. "Number 468148989672 - Facts about the integer". https://numbermatics.com/n/468148989672/
The information we have on file for 468148989672 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 468148989672, math, Factors of 468148989672, curriculum, school, college, exams, university, Prime factorization of 468148989672, STEM, science, technology, engineering, physics, economics, calculator, four hundred sixty-eight billion, one hundred forty-eight million, nine hundred eighty-nine thousand, six hundred seventy-two.