428090062400
428,090,062,400 is an even composite number composed of six prime numbers multiplied together.
428090062400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 428090062400:
26 × 52 × 7 × 113 × 13 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 11 × 13 × 47 × 47)See below for interesting mathematical facts about the number 428090062400 from the Numbermatics database.
Names of 428090062400
- Cardinal: 428090062400 can be written as Four hundred twenty-eight billion, ninety million, sixty-two thousand, four hundred.
Scientific notation
- Scientific notation: 4.280900624 × 1011
Factors of 428090062400
Divisors of 428090062400
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 47 50 52 55 56 64 65 70 77 80 88 91 94 100 104 110 112 121 130 140 143 154 160 175 176 182 188 200 208 220 224 235 242 260 275 280 286 308 320 325 329 350 352 364 376 385 400 416 440 448 455 470 484 517 520 550 560 572 605 611 616 650 658 700 704 715 728 752 770 800 832 847 880 910 940 968 1001 1034 1040 1100 1120 1144 1175 1210 1222 1232 1300 1316 1331 1400 1430 1456 1504 1540 1573 1600 1645 1694 1760 1820 1880 1925 1936 2002 2068 2080 2200 2209 2240 2275 2288 2350 2420 2444 2464 2585 2600 2632 2662 2800 2860 2912 3008 3025 3055 3080 3146 3290 3388 3520 3575 3619 3640 3760 3850 3872 4004 4136 4160 4235 4277 4400 4418 4550 4576 4700 4840 4888 4928 5005 5170 5200 5264 5324 5600 5687 5720 5824 6050 6110 6160 6292 6580 6655 6721 6776 7150 7238 7280 7520 7700 7744 7865 8008 8225 8272 8470 8554 8800 8836 9100 9152 9317 9400 9680 9776 10010 10340 10400 10528 10648 11011 11045 11200 11374 11440 12100 12220 12320 12584 12925 13160 13310 13442 13552 14300 14476 14560 15040 15275 15400 15463 15730 16016 16450 16544 16940 17108 17303 17600 17672 18095 18200 18634 18800 19360 19552 20020 20680 20800 21056 21175 21296 21385 22022 22090 22748 22880 24200 24299 24440 24640 25025 25168 25850 26320 26620 26884 27104 28435 28600 28717 28952 29120 30550 30800 30926 31460 32032 32900 33088 33275 33605 33880 34216 34606 35344 36190 36400 37268 37600 38720 39104 39325 39809 40040 41360 42350 42592 42770 44044 44180 45496 45760 46585 47047 48400 48598 48880 50050 50336 51700 52640 53240 53768 54208 55055 55225 56870 57200 57434 57904 61100 61600 61852 62557 62920 64064 65800 66550 67210 67760 68432 69212 70688 72380 72800 73931 74536 75200 77315 78650 79618 80080 82720 84700 85184 85540 86515 88088 88360 90475 90992 93170 94094 96800 97196 97760 100100 100672 103400 105280 106480 106925 107536 110110 110450 113740 114400 114868 115808 121121 121495 122200 123200 123704 125114 125840 131600 133100 134420 135520 136864 138424 141376 142175 143585 144760 145600 147862 149072 154630 157300 159236 160160 165440 168025 169400 170093 171080 173030 176176 176720 180950 181984 186340 188188 193600 194392 195520 199045 200200 201019 206800 212960 213850 215072 220220 220900 227480 228800 229736 231616 232925 235235 242242 242990 244400 247408 250228 251680 263200 266200 267289 268840 271040 273728 275275 276848 284350 287170 289520 295724 298144 309260 312785 314600 315887 318472 320320 336050 338800 340186 342160 346060 352352 353440 361900 363968 369655 372680 376376 386575 388784 398090 400400 402038 413600 425920 427700 430144 432575 437899 440440 441800 454960 459472 465850 470470 484484 485980 488800 494816 500456 503360 517517 526400 532400 534578 537680 550550 553696 568700 574340 579040 591448 596288 605605 607475 618520 625570 629200 631774 636944 672100 677600 680372 684320 692120 704704 706880 717925 723800 739310 745360 752752 773150 777568 796180 800800 804076 813241 827200 850465 855400 865150 875798 880880 883600 909920 918944 931700 940940 968968 971960 977600 989632 995225 1000912 1005095 1035034 1064800 1069156 1075360 1101100 1107392 1137400 1148680 1158080 1176175 1182896 1211210 1214950 1237040 1251140 1258400 1263548 1273888 1336445 1344200 1355200 1360744 1368640 1384240 1435850 1447600 1478620 1490720 1505504 1546300 1555136 1563925 1579435 1592360 1601600 1608152 1626482 1700930 1710800 1730300 1751596 1761760 1767200 1819840 1837888 1848275 1863400 1871023 1881880 1937936 1943920 1990450 2001824 2010190 2070068 2129600 2138312 2150720 2189495 2202200 2211209 2274800 2297360 2352350 2365792 2422420 2429900 2474080 2502280 2516800 2527096 2547776 2587585 2672890 2688400 2721488 2768480 2871700 2895200 2940179 2957240 2981440 3011008 3028025 3092600 3127850 3158870 3184720 3216304 3252964 3401860 3421600 3460600 3474757 3503192 3523520 3534400 3696550 3726800 3742046 3763760 3875872 3887840 3980900 4003648 4020380 4066205 4140136 4252325 4276624 4378990 4404400 4422418 4549600 4594720 4704700 4731584 4844840 4859800 4948160 5004560 5025475 5054192 5175170 5345780 5376800 5442976 5536960 5692687 5743400 5790400 5880358 5914480 6056050 6185200 6255700 6317740 6369440 6432608 6505928 6682225 6803720 6843200 6921200 6949514 7006384 7393100 7453600 7484092 7527520 7751744 7775680 7897175 7961800 8040760 8132410 8280272 8504650 8553248 8757980 8808800 8844836 9099200 9189440 9355115 9409400 9689680 9719600 10009120 10050950 10108384 10350340 10691560 10753600 10885952 10947475 11056045 11385374 11486800 11760716 11828960 12112100 12370400 12511400 12635480 12738880 12865216 12937925 13011856 13364450 13607440 13842400 13899028 14012768 14700895 14786200 14907200 14968184 15055040 15794350 15923600 16081520 16264820 16560544 17009300 17106496 17373785 17515960 17617600 17689672 18710230 18818800 19379360 19439200 20018240 20101900 20216768 20331025 20581253 20700680 21383120 21894950 22112090 22770748 22973600 23521432 23657920 24224200 24323299 24740800 25022800 25270960 25875850 26023712 26728900 27214880 27684800 27798056 28025536 28463435 29401790 29572400 29936368 31588700 31847200 32163040 32529640 33121088 34018600 34747570 35031920 35379344 37420460 37637600 38222327 38758720 38878400 40203800 40662050 41162506 41401360 42766240 43789900 44224180 45541496 45947200 46775575 47042864 48448400 48646598 50045600 50541920 51751700 52047424 53457800 54429760 55280225 55596112 56926870 58803580 59144800 59872736 63177400 63694400 64326080 65059280 68037200 69495140 70063840 70758688 73504475 74840920 75275200 76444654 80407600 81324100 82325012 82802720 85532480 86868925 87579800 88448360 91082992 93551150 94085728 96896800 97293196 100091200 101083840 102906265 103503400 106915600 110560450 111192224 113853740 117607160 118289600 119745472 121616495 126354800 130118560 136074400 138990280 140127680 141517376 142317175 147008950 149681840 152889308 160815200 162648200 164650024 165605440 173737850 175159600 176896720 182165984 187102300 188171456 191111635 193793600 194586392 205812530 207006800 213831200 221120900 222384448 227707480 235214320 243232990 252709600 260237120 267556289 272148800 277980560 284634350 294017900 299363680 305778616 321630400 325296400 329300048 347475700 350319200 353793440 364331968 374204600 382223270 389172784 411625060 414013600 427662400 442241800 455414960 470428640 486465980 505419200 514531325 535112578 555961120 569268700 588035800 598727360 608082475 611557232 650592800 658600096 694951400 700638400 707586880 748409200 764446540 778345568 823250120 828027200 884483600 910829920 940857280 955558175 972931960 1029062650 1070225156 1111922240 1138537400 1176071600 1216164950 1223114464 1301185600 1317200192 1337781445 1389902800 1496818400 1528893080 1556691136 1646500240 1768967200 1821659840 1911116350 1945863920 2058125300 2140450312 2277074800 2352143200 2432329900 2446228928 2675562890 2779805600 2993636800 3057786160 3293000480 3537934400 3822232700 3891727840 4116250600 4280900624 4554149600 4704286400 4864659800 5351125780 5559611200 6115572320 6586000960 6688907225 7644465400 7783455680 8232501200 8561801248 9108299200 9729319600 10702251560 12231144640 13377814450 15288930800 16465002400 17123602496 19458639200 21404503120 26755628900 30577861600 32930004800 38917278400 42809006240 53511257800 61155723200 85618012480 107022515600 214045031200 428090062400
- Sum of all divisors σ(n): 1456988330112
- Sum of proper divisors (its aliquot sum) s(n): 1028898267712
- 428090062400 is an abundant number, because the sum of its proper divisors (1028898267712) is greater than itself. Its abundance is 600808205312
Bases of 428090062400
- Binary: 1100011101011000010011111110110010000002
- Hexadecimal: 0x63AC27F640
- Base-36: 5GNTRQ68
Squares and roots of 428090062400
- 428090062400 squared (4280900624002) is 183261101525635893760000
- 428090062400 cubed (4280900624003) is 78452256387602204959398170624000000
-
The
square root of 428090062400 is 654285.9179288517 -
The
cube root of 428090062400 is 7536.6506054147
Scales and comparisons
How big is 428090062400?- 428,090,062,400 seconds is equal to 13,611 years, 48 weeks, 6 days, 2 hours, 13 minutes, 20 seconds.
-
To count from 1 to 428,090,062,400 would take you about twenty-seven thousand, two hundred twenty-three 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 428090062400 cubic inches would be around 628.1 feet tall.
Recreational maths with 428090062400
- 428090062400 backwards is 004260090824
- 428090062400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 428090062400's digits is 35
- More coming soon!
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The information we have on file for 428090062400 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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