3800825946720
3,800,825,946,720 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3800825946720 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
3800825946720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 3800825946720:
25 × 35 × 5 × 11 × 19 × 29 × 1272
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 19 × 29 × 127 × 127)See below for interesting mathematical facts about the number 3800825946720 from the Numbermatics database.
Names of 3800825946720
- Cardinal: 3800825946720 can be written as Three trillion, eight hundred billion, eight hundred twenty-five million, nine hundred forty-six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 3.80082594672 × 1012
Factors of 3800825946720
Divisors of 3800825946720
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 27 29 30 32 33 36 38 40 44 45 48 54 55 57 58 60 66 72 76 80 81 87 88 90 95 96 99 108 110 114 116 120 127 132 135 144 145 152 160 162 165 171 174 176 180 190 198 209 216 220 228 232 240 243 254 261 264 270 285 288 290 297 304 319 324 330 342 348 352 360 380 381 396 405 418 432 435 440 456 464 480 486 495 508 513 522 528 540 551 570 580 594 608 627 635 638 648 660 684 696 720 760 762 783 792 810 836 855 864 870 880 891 912 928 957 972 990 1016 1026 1044 1045 1056 1080 1102 1140 1143 1160 1188 1215 1254 1270 1276 1296 1305 1320 1368 1392 1397 1440 1485 1520 1524 1539 1566 1584 1595 1620 1653 1672 1710 1740 1760 1782 1824 1881 1905 1914 1944 1980 2032 2052 2088 2090 2160 2204 2280 2286 2320 2349 2376 2413 2430 2508 2540 2552 2565 2592 2610 2640 2673 2736 2755 2784 2794 2871 2970 3040 3048 3078 3132 3135 3168 3190 3240 3306 3344 3420 3429 3480 3564 3683 3762 3810 3828 3888 3915 3960 4064 4104 4176 4180 4191 4320 4408 4455 4560 4572 4617 4640 4698 4752 4785 4826 4860 4959 5016 5080 5104 5130 5220 5280 5346 5472 5510 5588 5643 5715 5742 5940 6061 6096 6156 6264 6270 6380 6480 6612 6688 6840 6858 6960 6985 7047 7128 7239 7366 7524 7620 7656 7695 7776 7830 7920 8208 8265 8352 8360 8382 8613 8816 8910 9120 9144 9234 9396 9405 9504 9570 9652 9720 9918 10032 10160 10208 10260 10287 10440 10692 11020 11049 11176 11286 11430 11484 11745 11880 12065 12122 12192 12312 12528 12540 12573 12760 12960 13224 13365 13680 13716 13920 13970 14094 14256 14355 14478 14732 14877 15048 15240 15312 15390 15660 15840 16129 16416 16530 16720 16764 16929 17145 17226 17632 17820 18183 18288 18415 18468 18792 18810 19140 19304 19440 19836 20064 20320 20520 20574 20880 20955 21384 21717 22040 22098 22352 22572 22860 22968 23085 23490 23760 24130 24244 24624 24795 25056 25080 25146 25520 25839 26448 26543 26730 27360 27432 27940 28188 28215 28512 28710 28956 29464 29754 30096 30305 30480 30624 30780 30861 31320 32258 33060 33147 33440 33528 33858 34290 34452 35235 35640 36195 36366 36576 36830 36936 37584 37620 37719 38280 38608 38880 39672 40513 41040 41148 41760 41910 42768 43065 43434 44080 44196 44631 44704 45144 45720 45936 46170 46980 47520 48260 48387 48488 49248 49590 50160 50292 50787 51040 51435 51678 52896 53086 53460 54549 54864 55245 55880 56376 56430 57420 57912 58928 59508 60192 60610 60960 61560 61722 62640 62865 64516 65151 66120 66294 67056 67716 68580 68904 69977 70470 71280 72390 72732 73660 73872 74385 75168 75240 75438 76560 77216 77517 79344 79629 80645 81026 82080 82296 83820 84645 85536 86130 86868 88160 88392 89262 90288 90915 91440 91872 92340 93960 96520 96774 96976 99180 99441 100320 100584 101574 102870 103356 106172 106920 108585 109098 109728 110490 111760 112752 112860 113157 114840 115824 117856 119016 121220 121539 123120 123444 125280 125730 129032 129195 130302 132240 132588 132715 133893 134112 135432 137160 137808 139954 140940 142560 144780 145161 145464 147320 147744 148770 150480 150876 153120 154305 155034 158688 159258 161290 162052 163647 164592 165735 167640 169290 172260 173736 176784 177419 178524 180576 181830 182880 184680 187920 188595 193040 193548 193952 195453 198360 198882 201168 202565 203148 205740 206712 209931 212344 213840 217170 218196 220980 223155 223520 225504 225720 226314 229680 231648 238032 238887 241935 242440 243078 246240 246888 251460 253935 258064 258390 260604 264480 265176 265430 267786 270864 272745 274320 275616 279908 281880 289560 290322 290928 294640 297540 298323 300960 301752 306451 308610 310068 318516 322580 324104 325755 327294 329184 331470 335280 338580 339471 344520 347472 349885 353568 354838 357048 363660 364617 369360 375840 377190 386080 387096 387585 390906 396720 397764 398145 402336 405130 406296 411480 413424 419862 424688 427680 434340 435483 436392 441960 446310 451440 452628 459360 467741 476064 477774 483870 484880 486156 490941 493776 497205 502920 507870 516128 516780 521208 530352 530860 532257 535572 541728 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110843568 112257840 113362740 113661063 114665760 114967512 117825840 121354596 123159520 123483624 124112655 124699014 125419104 126290070 127741680 128998980 131262120 132386832 133306185 134709408 134838440 136035288 138554460 138919077 142193264 143195040 143709390 147096480 148935186 151150320 151548084 151693245 153290016 154354530 156773880 157514544 159967422 161806128 164644832 165483540 166265352 168386760 170044110 171998640 172451268 175016160 177741580 181380384 182031894 184739280 185225436 187048521 189435105 191612520 195515738 196893180 198580248 202064112 202257660 205806040 206398368 207831690 209031840 213289896 215564085 220644720 221687136 224515680 226725480 227322126 229935024 231531795 235651680 239951133 242709192 246967248 248225310 249398028 252580140 255483360 257997960 262524240 264773664 266612370 269676880 272070576 273047841 277108920 277838154 284386528 287418780 293273607 297870372 302300640 303096168 303386490 308709060 311747535 313547760 315029088 319934844 323612256 330967080 332530704 336773520 340088220 343997280 344902536 355483160 364063788 369478560 370450872 372337965 374097042 378870210 383225040 391031476 393786360 397160496 399918555 404128224 404515320 411612080 415663380 416757231 426579792 431128170 441289440 453450960 454644252 455079735 459870048 463063590 479902266 485418384 488789345 493934496 496450620 498796056 505160280 515995920 525048480 533224740 539353760 544141152 546095682 554217840 555676308 568305315 574837560 586547214 595740744 606192336 606772980 617418120 623495070 627095520 639869688 661934160 665061408 673547040 680176440 689805072 694595385 710966320 719853399 728127576 740901744 744675930 748194084 757740420 766450080 782062952 787572720 794320992 799837110 809030640 819143523 823224160 831326760 833514462 853159584 862256340 879820821 906901920 909288504 910159470 926127180 935242605 959804532 970836768 977578690 992901240 997592112 1010320560 1031991840 1066449480 1092191364 1108435680 1111352616 1136610630 1149675120 1173094428 1191481488 1199755665 1212384672 1213545960 1234836240 1246990140 1250271693 1279739376 1323868320 1360352880 1365239205 1379610144 1389190770 1421932640 1439706798 1456255152 1466368035 1481803488 1489351860 1496388168 1515480840 1564125904 1575145440 1599674220 1618061280 1638287046 1662653520 1667028924 1724512680 1759641642 1818577008 1820318940 1852254360 1870485210 1919609064 1955157380 1985802480 1995184224 2020641120 2083786155 2132898960 2159560197 2184382728 2222705232 2273221260 2299350240 2346188856 2382962976 2399511330 2427091920 2469672480 2493980280 2500543386 2559478752 2639462463 2720705760 2730478410 2778381540 2879413596 2912510304 2932736070 2978703720 2992776336 3030961680 3128251808 3199348440 3276574092 3325307040 3334057848 3449025360 3519283284 3599266995 3637154016 3640637880 3704508720 3740970420 3839218128 3910314760 3971604960 4095717615 4167572310 4265797920 4319120394 4368765456 4399104105 4445410464 4546442520 4692377712 4799022660 4854183840 4987960560 5001086772 5278924926 5460956820 5556763080 5758827192 5865472140 5957407440 5985552672 6061923360 6251358465 6398696880 6553148184 6668115696 6898050720 7038566568 7198533990 7281275760 7409017440 7481940840 7678436256 7820629520 7918387389 8191435230 8335144620 8638240788 8737530912 8798208210 9092885040 9384755424 9598045320 9975921120 10002173544 10557849852 10797800985 10921913640 11113526160 11517654384 11730944280 11914814880 12502716930 12797393760 13106296368 13197312315 13336231392 14077133136 14397067980 14562551520 14963881680 15641259040 15836774778 16382870460 16670289240 17276481576 17596416420 18185770080 19196090640 20004347088 21115699704 21595601970 21843827280 22227052320 23035308768 23461888560 23755162167 25005433860 26212592736 26394624630 28154266272 28794135960 29927763360 31673549556 32765740920 33340578480 34552963152 35192832840 38392181280 39591936945 40008694176 42231399408 43191203940 43687654560 46923777120 47510324334 50010867720 52789249260 57588271920 63347099112 65531481840 66681156960 69105926304 70385665680 79183873890 84462798816 86382407880 95020648668 100021735440 105578498520 115176543840 118775810835 126694198224 131062963680 140771331360 158367747780 172764815760 190041297336 200043470880 211156997040 237551621670 253388396448 316735495560 345529631520 380082594672 422313994080 475103243340 633470991120 760165189344 950206486680 1266941982240 1900412973360 3800825946720
- Sum of all divisors σ(n): 16105198636800
- Sum of proper divisors (its aliquot sum) s(n): 12304372690080
- 3800825946720 is an abundant number, because the sum of its proper divisors (12304372690080) is greater than itself. Its abundance is 8503546743360
Bases of 3800825946720
- Binary: 1101110100111100101110000101100010011000002
- Hexadecimal: 0x374F2E16260
- Base-36: 1CI2PMU00
Squares and roots of 3800825946720
- 3800825946720 squared (38008259467202) is 14446277877259984278758400
- 3800825946720 cubed (38008259467203) is 54907787789416871705884212066152448000
-
The
square root of 3800825946720 is 1949570.7083150383 -
The
cube root of 3800825946720 is 15606.0380236113
Scales and comparisons
How big is 3800825946720?- 3,800,825,946,720 seconds is equal to 120,854 years, 26 weeks, 3 days, 1 hour, 12 minutes.
-
To count from 1 to 3,800,825,946,720 would take you about three hundred two thousand, one hundred thirty-six 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 3800825946720 cubic inches would be around 1300.5 feet tall.
Recreational maths with 3800825946720
- 3800825946720 backwards is 0276495280083
- 3800825946720 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3800825946720's digits is 54
- More coming soon!
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"Number 3800825946720 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 3800825946720 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/3800825946720/
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The information we have on file for 3800825946720 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!
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