12825945216
12,825,945,216 is an even composite number composed of six prime numbers multiplied together.
12825945216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 12825945216:
27 × 33 × 72 × 23 × 37 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 23 × 37 × 89)See below for interesting mathematical facts about the number 12825945216 from the Numbermatics database.
Names of 12825945216
- Cardinal: 12825945216 can be written as Twelve billion, eight hundred twenty-five million, nine hundred forty-five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.2825945216 × 1010
Factors of 12825945216
Divisors of 12825945216
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 37 42 46 48 49 54 56 63 64 69 72 74 84 89 92 96 98 108 111 112 126 128 138 144 147 148 161 168 178 184 189 192 196 207 216 222 224 252 259 267 276 288 294 296 322 333 336 356 368 378 384 392 414 432 441 444 448 483 504 518 534 552 576 588 592 621 623 644 666 672 712 736 756 777 784 801 828 851 864 882 888 896 966 999 1008 1036 1068 1104 1127 1152 1176 1184 1242 1246 1288 1323 1332 1344 1424 1449 1472 1512 1554 1568 1602 1656 1702 1728 1764 1776 1813 1869 1932 1998 2016 2047 2072 2136 2208 2254 2331 2352 2368 2403 2484 2492 2553 2576 2646 2664 2688 2848 2898 2944 3024 3108 3136 3204 3293 3312 3381 3404 3456 3528 3552 3626 3738 3864 3996 4032 4094 4144 4272 4347 4361 4416 4508 4662 4704 4736 4806 4968 4984 5106 5152 5292 5328 5439 5607 5696 5796 5957 6048 6141 6216 6272 6408 6586 6624 6762 6808 6993 7056 7104 7252 7476 7659 7728 7992 8064 8188 8288 8544 8694 8722 8832 9016 9324 9408 9612 9879 9936 9968 10143 10212 10304 10584 10656 10878 11214 11392 11592 11914 12096 12282 12432 12816 13083 13172 13248 13524 13616 13986 14112 14208 14329 14504 14952 15318 15456 15984 16317 16376 16576 16821 17088 17388 17444 17871 18032 18423 18648 18816 19224 19758 19872 19936 20286 20424 20608 21168 21312 21756 22428 22977 23051 23184 23828 24192 24564 24864 25632 26166 26344 26496 27048 27232 27972 28224 28658 29008 29637 29904 30429 30636 30912 31968 32634 32752 33152 33642 34176 34776 34888 35742 36064 36846 37296 38448 39249 39516 39744 39872 40572 40848 41699 42336 42624 42987 43512 44856 45954 46102 46368 47656 48951 49128 49728 51264 52332 52688 53613 54096 54464 55269 55944 56448 57316 58016 59274 59808 60858 61272 61824 63936 65268 65504 67284 69153 69552 69776 71484 72128 73692 74592 75739 76896 78498 79032 79488 79744 81144 81696 83398 84672 85974 87024 88911 89712 91908 92204 92736 95312 97902 98256 99456 100303 102528 104664 105376 107226 108192 108928 110538 111888 114632 116032 117747 118548 119616 121716 122544 125097 127872 128961 130536 131008 134568 138306 139104 139552 142968 144256 147384 149184 151478 153792 156996 158064 160839 161357 162288 163392 166796 169344 171948 174048 177822 179424 183816 184408 185472 190624 195804 196512 200606 207459 209328 210752 214452 216384 221076 223776 227217 229264 232064 235494 237096 239232 243432 245088 250194 257922 261072 262016 269136 276612 278208 279104 285936 294768 298368 300909 302956 307584 313992 316128 321678 322714 324576 326784 333592 343896 348096 355644 358848 367632 368816 375291 381248 386883 391608 393024 401212 414918 418656 421504 428904 432768 442152 447552 454434 458528 470988 474192 484071 486864 490176 500388 515844 522144 530173 538272 553224 556416 558208 571872 589536 601818 605912 622377 627984 632256 643356 645428 649152 667184 681651 687792 696192 711288 717696 735264 737632 750582 762496 773766 783216 786048 802424 829836 837312 857808 884304 895104 902727 908868 917056 941976 948384 968142 973728 980352 1000776 1031688 1044288 1060346 1076544 1106448 1125873 1143744 1179072 1203636 1211824 1244754 1255968 1264512 1286712 1290856 1298304 1334368 1363302 1375584 1422576 1452213 1470528 1475264 1501164 1547532 1566432 1590519 1604848 1659672 1674624 1715616 1768608 1805454 1817736 1834112 1883952 1896768 1936284 1947456 2001552 2044953 2063376 2088576 2120692 2153088 2212896 2251746 2287488 2358144 2407272 2423648 2489508 2511936 2573424 2581712 2668736 2708181 2726604 2751168 2845152 2904426 2941056 2950528 3002328 3095064 3132864 3181038 3209696 3319344 3431232 3537216 3610908 3635472 3711211 3767904 3793536 3872568 3894912 4003104 4089906 4126752 4241384 4356639 4425792 4503492 4771557 4814544 4847296 4979016 5023872 5146848 5163424 5337472 5416362 5453208 5502336 5690304 5808852 6004656 6190128 6265728 6362076 6419392 6638688 6862464 7074432 7221816 7270944 7422422 7535808 7745136 8006208 8179812 8253504 8482768 8713278 8851584 9006984 9543114 9629088 9694592 9958032 10293696 10326848 10832724 10906416 11133633 11380608 11617704 12009312 12380256 12724152 12838784 13277376 14314671 14443632 14541888 14844844 15071616 15490272 16012416 16359624 16507008 16965536 17426556 18013968 19086228 19258176 19916064 20587392 20653696 21665448 21812832 22267266 23235408 24018624 24760512 25448304 26554752 28629342 28887264 29083776 29689688 30980544 32719248 33400899 33931072 34853112 36027936 38172456 38516352 39832128 43330896 43625664 44534532 46470816 48037248 49521024 50896608 57258684 57774528 59379376 61961088 65438496 66801798 67862144 69706224 72055872 76344912 79664256 86661792 87251328 89069064 92941632 100202697 101793216 114517368 115549056 118758752 130876992 133603596 139412448 144111744 152689824 173323584 178138128 185883264 200405394 203586432 229034736 237517504 261753984 267207192 278824896 305379648 346647168 356276256 400810788 458069472 475035008 534414384 557649792 610759296 712552512 801621576 916138944 1068828768 1425105024 1603243152 1832277888 2137657536 3206486304 4275315072 6412972608 12825945216
- Sum of all divisors σ(n): 47721312000
- Sum of proper divisors (its aliquot sum) s(n): 34895366784
- 12825945216 is an abundant number, because the sum of its proper divisors (34895366784) is greater than itself. Its abundance is 22069421568
Bases of 12825945216
- Binary: 10111111000111110001100100100000002
- Hexadecimal: 0x2FC7C6480
- Base-36: 5W48IO0
Squares and roots of 12825945216
- 12825945216 squared (128259452162) is 164504870683833286656
- 12825945216 cubed (128259452163) is 2109930459156010191527079837696
-
The
square root of 12825945216 is 113251.6896827591 -
The
cube root of 12825945216 is 2340.7936295547
Scales and comparisons
How big is 12825945216?- 12,825,945,216 seconds is equal to 407 years, 42 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 12,825,945,216 would take you about eight hundred fifteen 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 12825945216 cubic inches would be around 195.1 feet tall.
Recreational maths with 12825945216
- 12825945216 backwards is 61254952821
- The number of decimal digits it has is: 11
- The sum of 12825945216's digits is 45
- 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 12825945216 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 12825945216 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/12825945216/
Chicago style:
Numbermatics. 2024. "Number 12825945216 - Facts about the integer". https://numbermatics.com/n/12825945216/
The information we have on file for 12825945216 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 12825945216, math, Factors of 12825945216, curriculum, school, college, exams, university, Prime factorization of 12825945216, STEM, science, technology, engineering, physics, economics, calculator, twelve billion, eight hundred twenty-five million, nine hundred forty-five thousand, two hundred sixteen.