314214001200
314,214,001,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 314214001200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1200 divisors.
314214001200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 314214001200:
24 × 34 × 52 × 11 × 61 × 97 × 149
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 61 × 97 × 149)See below for interesting mathematical facts about the number 314214001200 from the Numbermatics database.
Names of 314214001200
- Cardinal: 314214001200 can be written as Three hundred fourteen billion, two hundred fourteen million, one thousand, two hundred.
Scientific notation
- Scientific notation: 3.142140012 × 1011
Factors of 314214001200
Divisors of 314214001200
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 33 36 40 44 45 48 50 54 55 60 61 66 72 75 80 81 88 90 97 99 100 108 110 120 122 132 135 144 149 150 162 165 176 180 183 194 198 200 216 220 225 240 244 264 270 275 291 297 298 300 305 324 330 360 366 388 396 400 405 432 440 447 450 485 488 495 528 540 549 550 582 594 596 600 610 648 660 671 675 720 732 745 776 792 810 825 873 880 891 894 900 915 970 976 990 1067 1080 1098 1100 1164 1188 1192 1200 1220 1296 1320 1341 1342 1350 1455 1464 1485 1490 1525 1552 1584 1620 1639 1647 1650 1746 1782 1788 1800 1830 1940 1980 2013 2025 2134 2160 2196 2200 2235 2328 2376 2384 2425 2440 2475 2619 2640 2682 2684 2700 2745 2910 2928 2970 2980 3050 3201 3240 3278 3294 3300 3355 3492 3564 3576 3600 3660 3725 3880 3960 4023 4026 4050 4268 4365 4392 4400 4455 4470 4575 4656 4752 4850 4880 4917 4941 4950 5238 5335 5364 5368 5400 5490 5820 5917 5940 5960 6039 6100 6402 6480 6556 6588 6600 6705 6710 6984 7128 7152 7275 7320 7425 7450 7760 7857 7920 8046 8052 8100 8195 8235 8536 8730 8784 8910 8940 9089 9150 9603 9700 9834 9882 9900 10065 10476 10670 10728 10736 10800 10980 11175 11640 11834 11880 11920 12069 12078 12200 12804 13095 13112 13176 13200 13410 13420 13725 13968 14256 14453 14550 14640 14751 14850 14900 15714 16005 16092 16104 16200 16390 16470 16775 17072 17460 17751 17820 17880 18117 18178 18300 19206 19400 19668 19764 19800 20115 20130 20952 21340 21456 21825 21960 22275 22350 23280 23668 23760 24138 24156 24400 24585 24705 25608 26190 26224 26352 26675 26820 26840 27267 27450 28809 28906 29100 29502 29585 29700 29800 30195 31428 32010 32184 32208 32400 32780 32940 33525 33550 34920 35502 35640 35760 36234 36356 36600 38412 38800 39285 39336 39528 39600 40230 40260 40975 41175 41904 42680 43359 43650 43920 44253 44550 44700 45445 47336 48015 48276 48312 49170 49410 50325 51216 52380 53253 53350 53640 53680 54351 54534 54900 57618 57812 58200 59004 59170 59400 59600 60345 60390 62856 64020 64368 65087 65475 65560 65880 67050 67100 69840 71004 71280 72265 72468 72712 73200 73755 76824 78570 78672 79056 80025 80460 80520 81801 81950 82350 85360 86427 86718 87300 88506 88755 89100 89400 90585 90890 94672 96030 96552 96624 98340 98820 99979 100575 100650 104760 106506 106700 107280 108702 109068 109800 115236 115624 116400 118008 118340 118800 120690 120780 122925 123525 125712 128040 130077 130174 130950 131120 131760 132759 134100 134200 136335 142008 144045 144530 144936 145424 147510 147925 150975 153648 157140 158983 159759 160050 160920 161040 163602 163900 164700 172854 173436 174600 177012 177510 178200 178800 181170 181780 192060 193104 195261 196425 196680 197640 199958 201150 201300 209520 213012 213400 216795 217404 218136 219600 221265 227225 230472 231248 236016 236680 240075 241380 241560 245403 245850 247050 256080 260154 260348 261900 265518 266265 268200 268400 271755 272670 284016 288090 289060 289872 295020 295850 299937 301725 301950 314280 317966 319518 320100 321840 325435 327204 327800 329400 345708 346872 349200 354024 355020 356400 361325 362340 363560 368775 384120 390231 390522 392850 393360 395280 399916 402300 402600 409005 426024 426800 432135 433590 434808 436272 442530 443775 452925 454450 460944 473360 476949 479277 480150 482760 483120 490806 491700 494100 499895 520308 520696 523800 531036 532530 536400 543510 545340 576180 578120 585783 590040 591700 599874 603450 603900 628560 635932 639036 640200 650385 650870 654408 655600 658800 663795 681675 691416 693744 708048 710040 720225 722650 724680 727120 736209 737550 768240 780462 781044 785700 794915 798795 799832 804600 805200 818010 852048 864270 867180 869616 881633 885060 887550 899811 905850 908900 953898 958554 960300 965520 976305 981612 983400 988200 999790 1040616 1041392 1047600 1062072 1065060 1083975 1087020 1090680 1106325 1152360 1156240 1170693 1171566 1180080 1183400 1199748 1206900 1207800 1227015 1271864 1278072 1280400 1300770 1301740 1308816 1327590 1331325 1358775 1363350 1382832 1420080 1430847 1440450 1445300 1449360 1472418 1475100 1499685 1560924 1562088 1571400 1589830 1597590 1599664 1609200 1627175 1636020 1728540 1734360 1757349 1763266 1770120 1775100 1799622 1811700 1817800 1907796 1917108 1920600 1951155 1952610 1963224 1966800 1976400 1999580 2045025 2081232 2124144 2130120 2160675 2167950 2174040 2181360 2212650 2304720 2341386 2343132 2366800 2384745 2396385 2399496 2413800 2415600 2454030 2499475 2543728 2556144 2601540 2603480 2644899 2655180 2662650 2699433 2717550 2726700 2861694 2880900 2890600 2928915 2944836 2950200 2999370 3121848 3124176 3142800 3179660 3195180 3251925 3254350 3272040 3318975 3457080 3468720 3514698 3526532 3540240 3550200 3599244 3623400 3635600 3681045 3815592 3834216 3841200 3902310 3905220 3926448 3974575 3993975 3999160 4090050 4260240 4292541 4321350 4335900 4348080 4408165 4425300 4499055 4682772 4686264 4769490 4792770 4798992 4827600 4881525 4908060 4998950 5203080 5206960 5272047 5289798 5310360 5325300 5398866 5435100 5453400 5723388 5761800 5781200 5853465 5857830 5889672 5900400 5998740 6135075 6243696 6359320 6390360 6503850 6508700 6544080 6637950 6914160 7029396 7053064 7100400 7154235 7198488 7246800 7362090 7498425 7631184 7668432 7804620 7810440 7934697 7949150 7987950 7998320 8098299 8180100 8585082 8642700 8671800 8786745 8816330 8850600 8998110 9365544 9372528 9538980 9585540 9697963 9755775 9763050 9816120 9997900 10406160 10544094 10579596 10620720 10650600 10797732 10870200 10906800 11446776 11523600 11706930 11715660 11779344 11923725 11981925 11997480 12270150 12718640 12780720 12877623 13007700 13017400 13224495 13275900 13497165 14058792 14106128 14308470 14396976 14644575 14724180 14996850 15609240 15620880 15869394 15898300 15975900 16196598 16360200 17170164 17285400 17343600 17573490 17632660 17701200 17996220 18405225 18731088 19077960 19171080 19395926 19511550 19526100 19632240 19995800 21088188 21159192 21301200 21462705 21595464 21740400 22040825 22495275 22893552 23413860 23431320 23804091 23847450 23963850 23994960 24540300 25755246 26015400 26034800 26360235 26448990 26551800 26994330 28117584 28616940 29093889 29267325 29289150 29448360 29993700 31218480 31738788 31796600 31951800 32393196 32720400 34340328 34570800 35146980 35265320 35771175 35992440 36810450 38155920 38342160 38791852 39023100 39052200 39673485 39991600 40491495 42176376 42318384 42925410 43190928 43933725 44081650 44990550 46827720 46862640 47608182 47694900 47927700 48489815 49080600 51510492 52030800 52720470 52897980 53103600 53988660 57233880 58187778 58534650 58578300 58896720 59987400 63477576 63593200 63903600 64388115 64786392 66122475 67485825 68680656 70293960 70530640 71412273 71542350 71984880 73620900 77583704 78046200 78104400 79346970 80982990 84352752 85850820 87281667 87867450 88163300 89981100 93655440 95216364 95389800 95855400 96979630 98161200 103020984 105440940 105795960 107313525 107977320 114467760 116375556 117069300 117156600 119020455 119974800 126955152 128776230 129572784 131801175 132244950 134971650 140587920 142824546 143084700 145469445 147241800 155167408 156092400 158693940 161965980 171701640 174563334 175734900 176326600 179962200 190432728 190779600 191710800 193959260 198367425 202457475 206041968 210881880 211591920 214627050 215954640 232751112 234138600 234313200 238040910 242449075 257552460 261845001 263602350 264489900 269943300 285649092 286169400 290938890 294483600 317387880 321940575 323931960 343403280 349126668 351469800 352653200 357061365 359924400 380865456 387918520 396734850 404914950 421763760 429254100 436408335 465502224 468277200 476081820 484898150 515104920 523690002 527204700 528979800 539886600 571298184 572338800 581877780 595102275 634775760 643881150 647863920 698253336 702939600 714122730 727347225 775837040 785535003 793469700 809829900 858508200 872816670 952163640 969796300 1030209840 1047380004 1054409400 1057959600 1079773200 1142596368 1163755560 1190204550 1287762300 1309225005 1396506672 1428245460 1454694450 1571070006 1586939400 1619659800 1717016400 1745633340 1785306825 1904327280 1939592600 2094760008 2108818800 2182041675 2327511120 2380409100 2575524600 2618450010 2856490920 2909388900 3142140012 3173878800 3239319600 3491266680 3570613650 3879185200 3927675015 4189520016 4364083350 4760818200 5151049200 5236900020 5712981840 5818777800 6284280024 6546125025 6982533360 7141227300 7855350030 8728166700 9521636400 10473800040 11637555600 12568560048 13092250050 14282454600 15710700060 17456333400 19638375075 20947600080 26184500100 28564909200 31421400120 34912666800 39276750150 52369000200 62842800240 78553500300 104738000400 157107000600 314214001200
- Sum of all divisors σ(n): 1271742040800
- Sum of proper divisors (its aliquot sum) s(n): 957528039600
- 314214001200 is an abundant number, because the sum of its proper divisors (957528039600) is greater than itself. Its abundance is 643314038400
Bases of 314214001200
- Binary: 1001001001010001001110100101010001100002
- Hexadecimal: 0x49289D2A30
- Base-36: 40CIWJ00
Squares and roots of 314214001200
- 314214001200 squared (3142140012002) is 98730438550113601440000
- 314214001200 cubed (3142140012003) is 31022486137061921423004481728000000
-
The
square root of 314214001200 is 560547.9472801591 -
The
cube root of 314214001200 is 6798.4281343739
Scales and comparisons
How big is 314214001200?- 314,214,001,200 seconds is equal to 9,991 years, 1 week, 5 days, 3 hours.
-
To count from 1 to 314,214,001,200 would take you about nineteen thousand, nine hundred eighty-two 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 314214001200 cubic inches would be around 566.5 feet tall.
Recreational maths with 314214001200
- 314214001200 backwards is 002100412413
- 314214001200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 314214001200's digits is 18
- More coming soon!
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The information we have on file for 314214001200 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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