428097002942880
428,097,002,942,880 is an even composite number composed of seven prime numbers multiplied together.
428097002942880 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 428097002942880:
25 × 34 × 5 × 192 × 29 × 412 × 1877
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 19 × 19 × 29 × 41 × 41 × 1877)See below for interesting mathematical facts about the number 428097002942880 from the Numbermatics database.
Names of 428097002942880
- Cardinal: 428097002942880 can be written as Four hundred twenty-eight trillion, ninety-seven billion, two million, nine hundred forty-two thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 4.2809700294288 × 1014
Factors of 428097002942880
Divisors of 428097002942880
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 29 30 32 36 38 40 41 45 48 54 57 58 60 72 76 80 81 82 87 90 95 96 108 114 116 120 123 135 144 145 152 160 162 164 171 174 180 190 205 216 228 232 240 246 261 270 285 288 290 304 324 328 342 348 360 361 369 380 405 410 432 435 456 464 480 492 513 522 540 551 570 580 608 615 648 656 684 696 720 722 738 760 779 783 810 820 855 864 870 912 928 984 1026 1044 1080 1083 1102 1107 1140 1160 1189 1230 1296 1305 1312 1368 1392 1440 1444 1476 1520 1539 1558 1566 1620 1640 1653 1681 1710 1740 1805 1824 1845 1877 1968 2052 2088 2160 2166 2204 2214 2280 2320 2337 2349 2378 2460 2565 2592 2610 2736 2755 2784 2888 2952 3040 3078 3116 3132 3240 3249 3280 3306 3321 3362 3420 3480 3567 3610 3690 3754 3895 3915 3936 4104 4176 4320 4332 4408 4428 4560 4640 4674 4698 4756 4920 4959 5043 5130 5220 5415 5472 5510 5535 5631 5776 5904 5945 6156 6232 6264 6480 6498 6560 6612 6642 6724 6840 6960 7011 7134 7220 7380 7508 7695 7790 7830 8208 8265 8352 8405 8664 8816 8856 9120 9348 9385 9396 9512 9747 9840 9918 10086 10260 10440 10469 10701 10830 11020 11070 11262 11552 11685 11745 11808 11890 12312 12464 12528 12960 12996 13224 13284 13448 13680 13920 14022 14268 14440 14760 14801 14877 15016 15129 15390 15580 15660 16245 16416 16530 16605 16810 16893 17328 17632 17712 17835 18696 18770 18792 19024 19494 19680 19836 20172 20520 20880 20938 21033 21402 21660 22040 22140 22524 22591 23370 23490 23780 24624 24795 24928 25056 25215 25992 26448 26568 26896 27360 28044 28155 28536 28880 29241 29520 29602 29754 30032 30258 30780 31160 31320 31407 31939 32103 32490 33060 33210 33620 33786 34656 35055 35424 35663 35670 37392 37540 37584 38048 38988 39672 40344 41040 41760 41876 42066 42804 43320 44080 44280 44403 44631 45048 45182 45387 46740 46980 47560 48735 48749 49248 49590 50430 50679 51984 52345 52896 53136 53505 53792 54433 56088 56310 57072 57760 58482 59040 59204 59508 60064 60516 61560 62320 62640 62814 63099 63878 64206 64980 66120 66420 67240 67572 67773 70110 71326 71340 74005 74385 74784 75080 75168 75645 76957 77976 79344 80688 82080 83752 84132 84465 85608 86640 88160 88560 88806 89262 90096 90364 90774 93480 93960 94221 95120 95817 96309 97470 97498 99180 100860 101358 103968 104690 105165 106272 106989 107010 108866 112176 112620 112955 114144 116964 118408 119016 121032 123120 124640 125280 125628 126198 127756 128412 129960 132240 132840 133209 134480 135144 135546 136161 140220 142652 142680 146205 146247 148010 148770 150160 151290 152037 153914 155952 157035 158688 159695 160515 161376 163299 167504 168264 168930 171216 173280 177120 177612 178315 178524 180192 180728 181548 186960 187920 188442 190240 191634 192618 194940 194996 198360 201720 202716 203319 209380 210330 213978 214020 217732 222015 223155 224352 225240 225910 226935 230871 233928 236816 238032 242064 243745 246240 251256 252396 253395 255512 256824 259920 264480 265680 266418 268960 270288 271092 272165 272322 280440 282663 285304 285360 287451 292410 292494 296020 297540 300320 302580 304074 307828 311904 314070 315495 319390 320967 321030 326598 335008 336528 337860 338865 342432 355224 356630 357048 361456 363096 373920 375840 376884 383268 384785 385236 389880 389992 396720 399627 403440 405432 406638 418760 420660 427956 428040 429229 435464 438741 444030 446310 450480 451820 453870 461742 467856 471105 473632 476064 479085 481545 484128 487490 489897 502512 504792 506790 511024 513648 519840 531360 532836 534945 540576 542184 544330 544644 560880 565326 570608 570720 574902 584820 584988 592040 595080 605160 606841 608148 609957 615656 628140 630990 638780 641934 642060 653196 666045 673056 675720 677597 677730 680805 692613 710448 713260 714096 722912 726192 731235 753768 760185 766536 769570 770472 779760 779984 793440 799254 806880 810864 813276 816495 837520 841320 847989 855912 856080 858458 862353 870928 877482 888060 892620 900960 903640 907740 923484 926231 935712 942210 958170 962901 963090 974980 979794 1005024 1009584 1013580 1016595 1022048 1027296 1034227 1065672 1069890 1084368 1088660 1089288 1121760 1130652 1141216 1149804 1154355 1169640 1169976 1184080 1190160 1198881 1210320 1213682 1216296 1219914 1231312 1256280 1261980 1277560 1283868 1284120 1287687 1306392 1316223 1332090 1351440 1355194 1355460 1361610 1385226 1413315 1420896 1426520 1428192 1437255 1452384 1462183 1462470 1469691 1507536 1520370 1533072 1539140 1540944 1559520 1559968 1598508 1604835 1621728 1626552 1632990 1675040 1682640 1695978 1711824 1712160 1716916 1724706 1741856 1754964 1776120 1785240 1807280 1815480 1820523 1829871 1846968 1852462 1884420 1916340 1925802 1926180 1949960 1959588 1998135 2019168 2027160 2032791 2033190 2068454 2077839 2131344 2139780 2146145 2168736 2177320 2178576 2193705 2231753 2261304 2299608 2308710 2339280 2339952 2368160 2380320 2397762 2420640 2427364 2432592 2439828 2449485 2462624 2512560 2523960 2555120 2567736 2568240 2575374 2587059 2612784 2632446 2664180 2702880 2710388 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2410293240 2416988499 2470550571 2500332930 2534168016 2544198420 2555741970 2621553120 2652792255 2667021792 2680716384 2697727635 2726124768 2745056190 2781403920 2815742240 2829645072 2850939018 2877576144 2892351888 2927219040 2928059936 3000399516 3000988440 3053038104 3144050080 3158315280 3167710020 3183350706 3213724320 3222651332 3237273162 3294067428 3333777240 3350895480 3392264560 3407655960 3417121671 3434667867 3477071174 3537056340 3596970180 3615439860 3660074920 3750499395 3789978336 3801252024 3816297630 3932329680 4000532688 4001317920 4028314165 4070717472 4089187152 4117584285 4223613360 4244467608 4316364216 4390828560 4392089904 4445036320 4467860640 4500599274 4543541280 4556162228 4579557156 4716075120 4737472920 4751565030 4795960240 4820586480 4833976998 4855909743 4941101142 5000665860 5068336032 5088396840 5111483940 5215606761 5305584510 5395455270 5490112380 5562807840 5659290144 5695202785 5701878036 5724446445 5755152288 5784703776 6000799032 6001976880 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15916753530 16113256660 16186365810 16470337140 16977870432 17085608355 17173339335 17265456864 17385355870 18002397096 18224648912 18318228624 18949891680 19006260120 19335907992 19423638972 19764404568 20002663440 20353587360 20445935760 20502730026 20862427044 21222338040 21581821080 21752896491 21960449520 22502996370 22780811140 22807512144 22897785780 24003196128 24169884990 24279548715 24705505710 25341680160 25466805648 25781210656 25898185296 26078033805 26352539424 27336973368 27477342936 27816569392 28296450720 28509390180 28775761440 28923518880 29003861988 29646606852 30003995160 30530381040 30754095039 31293640566 31833507060 32226513320 32372731620 32940674280 33032176153 34171216710 34346678670 34770711740 36004794192 36254827485 36449297824 36636457248 37058258565 38012520240 38671815984 38847277944 39528809136 40005326880 40891871520 41005460052 41724854088 42444676080 43163642160 43505792982 43920899040 45005992740 45561622280 45615024288 45795571560 46940460849 48339769980 48559097430 49411011420 50933611296 51256825065 51796370592 52156067610 54673946736 54954685872 55633138784 57018780360 58007723976 59293213704 60007990320 61060762080 61508190078 62587281132 63667014120 64453026640 64745463240 65258689473 65881348560 66064352306 68342433420 68693357340 69541423480 72009588384 72509654970 74116517130 76025040480 77343631968 77694555888 78234101415 79057618272 82010920104 83449708176 84889352160 86327284320 87011585964 90011985480 91123244560 91591143120 92262285117 93880921698 96679539960 97118194860 98822022840 99096528459 102513650130 104312135220 108764482455 109347893472 109909371744 114037560720 116015447952 118586427408 120015980640 123016380156 125174562264 127334028240 128906053280 129490926480 130517378946 131762697120 132128704612 136684866840 137386714680 139082846960 140821382547 145019309940 148233034260 153770475195 155389111776 156468202830 164021840208 165160880765 166899416352 174023171928 180023970960 182246489120 183182286240 184524570234 187761843396 193359079920 194236389720 197644045680 198193056918 205027300260 208624270440 217528964910 228075121440 232030895904 234702304245 237172854816 246032760312 250349124528 254668056480 258981852960 261034757892 264257409224 273369733680 274773429360 278165693920 281642765094 290038619880 296466068520 297289585377 307540950390 312936405660 326293447365 328043680416 330321761530 348046343856 360047941920 369049140468 375523686792 386718159840 388472779440 395288091360 396386113836 410054600520 417248540880 435057929820 461311425585 469404608490 492065520624 495482642295 500698249056 522069515784 528514818448 546739467360 549546858720 563285530188 580077239760 592932137040 594579170754 615081900780 625872811320 652586894730 660643523060 696092687712 704106912735 738098280936 751047373584 776945558880 792772227672 820109201040 834497081760 870115859640 891868756131 922622851170 938809216980 984131041248 990965284590 1044139031568 1057029636896 1126571060376 1160154479520 1185864274080 1189158341508 1230163801560 1251745622640 1305173789460 1321287046120 1408213825470 1476196561872 1486447926885 1502094747168 1585544455344 1640218402080 1740231719280 1783737512262 1845245702340 1877618433960 1981930569180 2088278063136 2253142120752 2378316683016 2460327603120 2503491245280 2610347578920 2642574092240 2675606268393 2816427650940 2952393123744 2972895853770 3171088910688 3480463438560 3567475024524 3690491404680 3755236867920 3963861138360 4459343780655 4506284241504 4756633366032 4920655206240 5220695157840 5285148184480 5351212536786 5632855301880 5945791707540 7134950049048 7380982809360 7510473735840 7927722276720 8918687561310 9513266732064 10441390315680 10702425073572 11265710603760 11891583415080 13378031341965 14269900098096 14761965618720 15855444553440 17837375122620 21404850147144 22531421207520 23783166830160 26756062683930 28539800196192 35674750245240 42809700294288 47566333660320 53512125367860 71349500490480 85619400588576 107024250735720 142699000980960 214048501471440 428097002942880
- Sum of all divisors σ(n): 1691625666459960
- Sum of proper divisors (its aliquot sum) s(n): 1263528663517080
- 428097002942880 is an abundant number, because the sum of its proper divisors (1263528663517080) is greater than itself. Its abundance is 835431660574200
Bases of 428097002942880
- Binary: 11000010101011010000110011100101000110001101000002
- Hexadecimal: 0x1855A19CA31A0
- Base-36: 47QX1QEY00
Squares and roots of 428097002942880
- 428097002942880 squared (4280970029428802) is 183267043928676207380542694400
- 428097002942880 cubed (4280970029428803) is 78456072244067416587810823020608284495872000
-
The
square root of 428097002942880 is 20690505.1398674169 -
The
cube root of 428097002942880 is 75366.9133528949
Scales and comparisons
How big is 428097002942880?- 428,097,002,942,880 seconds is equal to 13,612,160 years, 26 weeks, 22 hours, 48 minutes.
-
To count from 1 to 428,097,002,942,880 would take you about thirty-four million, thirty thousand, four hundred 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 428097002942880 cubic inches would be around 6280.6 feet tall.
Recreational maths with 428097002942880
- 428097002942880 backwards is 088249200790824
- The number of decimal digits it has is: 15
- The sum of 428097002942880's digits is 63
- More coming soon!
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The information we have on file for 428097002942880 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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