428050146720
428,050,146,720 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428050146720 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
428050146720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 428050146720:
25 × 3 × 5 × 72 × 612 × 67 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 61 × 61 × 67 × 73)See below for interesting mathematical facts about the number 428050146720 from the Numbermatics database.
Names of 428050146720
- Cardinal: 428050146720 can be written as Four hundred twenty-eight billion, fifty million, one hundred forty-six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 4.2805014672 × 1011
Factors of 428050146720
Divisors of 428050146720
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 61 67 70 73 80 84 96 98 105 112 120 122 134 140 146 147 160 168 183 196 201 210 219 224 240 244 245 268 280 292 294 305 335 336 365 366 392 402 420 427 438 469 480 488 490 511 536 560 584 588 610 670 672 730 732 735 784 804 840 854 876 915 938 976 980 1005 1022 1072 1095 1120 1168 1176 1220 1281 1340 1407 1460 1464 1470 1533 1568 1608 1680 1708 1752 1830 1876 1952 1960 2010 2044 2135 2144 2190 2336 2345 2352 2440 2555 2562 2680 2814 2920 2928 2940 2989 3066 3216 3283 3360 3416 3504 3577 3660 3721 3752 3920 4020 4087 4088 4270 4380 4453 4690 4704 4880 4891 5110 5124 5360 5628 5840 5856 5880 5978 6132 6405 6432 6566 6832 7008 7035 7154 7320 7442 7504 7665 7840 8040 8174 8176 8540 8760 8906 8967 9380 9760 9782 9849 10220 10248 10720 10731 11163 11256 11680 11760 11956 12261 12264 12810 13132 13359 13664 14070 14308 14640 14673 14884 14945 15008 15330 16080 16348 16352 16415 17080 17520 17812 17885 17934 18605 18760 19564 19698 20435 20440 20496 21462 22265 22326 22512 23520 23912 24455 24522 24528 25620 26047 26264 26718 28140 28609 28616 29280 29346 29768 29890 30660 31171 32160 32696 32830 34160 34237 35040 35624 35770 35868 37210 37520 39128 39396 40870 40880 40992 42924 44530 44652 44835 45024 47824 48910 49044 49056 49245 51240 52094 52528 53436 53655 55815 56280 57218 57232 58692 59536 59780 61305 61320 62342 65392 65660 66795 68320 68474 71248 71540 71736 73365 74420 75040 78141 78256 78792 81740 81760 85827 85848 89060 89304 89670 93513 95648 97820 98088 98490 102480 102711 104188 105056 106872 107310 111630 112560 114436 114464 117384 119072 119560 122610 122640 124684 130235 130784 131320 133590 136948 142496 143045 143080 143472 146730 148840 155855 156282 156512 157584 163480 171185 171654 171696 178120 178608 179340 182329 187026 195640 196176 196980 200263 204960 205422 208376 213744 214620 218197 223260 225120 228872 234768 239120 239659 245220 245280 249307 249368 260470 262640 267180 271633 273896 286090 286160 286944 293460 297680 298351 311710 312564 315168 326960 342370 343308 343392 356240 357216 358680 364658 374052 390705 391280 392352 393960 400526 410844 416752 427488 429135 429240 436394 446520 457744 467565 469536 478240 479318 490440 498614 498736 513555 520940 525280 534360 543266 546987 547792 572180 572320 586920 595360 596702 600789 623420 625128 653920 654591 684740 686616 712480 717360 718977 729316 747921 748104 781410 782560 787920 801052 814899 821688 833504 858270 858480 872788 893040 895053 911645 915488 935130 958636 980880 997228 997472 1001315 1027110 1041880 1068720 1086532 1090985 1093974 1095584 1144360 1173840 1193404 1198295 1201578 1246535 1246840 1250256 1309182 1358165 1369480 1373232 1434720 1437954 1458632 1491755 1495842 1496208 1562820 1575840 1602104 1629798 1643376 1716540 1716960 1745149 1745576 1786080 1790106 1823290 1870260 1901431 1917272 1961760 1994456 2002630 2054220 2083760 2088457 2137440 2173064 2181970 2187948 2288720 2347680 2386808 2396590 2403156 2493070 2493680 2500512 2618364 2716330 2734935 2738960 2746464 2875908 2917264 2983510 2991684 2992416 3003945 3125640 3204208 3259596 3272955 3286752 3433080 3490298 3491152 3580212 3594885 3646580 3739605 3740520 3802862 3834544 3988912 4005260 4074495 4108440 4167520 4176914 4346128 4363940 4375896 4475265 4577440 4773616 4793180 4806312 4986140 4987360 5235447 5236728 5432660 5469870 5477920 5704293 5751816 5834528 5967020 5983368 6007890 6251280 6265371 6408416 6519192 6545910 6866160 6980596 6982304 7160424 7189770 7293160 7479210 7481040 7605724 7669088 7977824 8010520 8148990 8216880 8353828 8692256 8725745 8727880 8751792 8950530 9507155 9547232 9586360 9612624 9972280 10442285 10470894 10473456 10865320 10939740 11408586 11503632 11934040 11966736 12015780 12216043 12502560 12530742 13038384 13091820 13310017 13732320 13961192 14320848 14379540 14586320 14619199 14958420 14962080 15211448 16021040 16297980 16433760 16707656 17451490 17455760 17503584 17901060 18199411 19014310 19172720 19225248 19944560 20884570 20941788 20946912 21730640 21879480 22817172 23007264 23868080 23933472 24031560 24432086 25061484 26076768 26177235 26183640 26620034 27922384 28521465 28641696 28759080 29172640 29238398 29916840 30422896 31326855 32042080 32595960 33415312 34902980 34911520 35802120 36398822 36648129 38028620 38345440 39889120 39930051 41769140 41883576 43461280 43758960 43857597 45634344 47736160 48063120 48864172 50122968 52354470 52367280 53240068 54598233 55844768 57042930 57518160 58476796 59833680 60845792 61080215 62653710 65191920 66550085 66830624 69805960 71604240 72797644 73095995 73296258 76057240 79860102 83538280 83767152 87517920 87715194 90997055 91268688 96126240 97728344 100245936 104708940 104734560 106480136 109196466 114085860 115036320 116953592 119667360 122160430 125307420 127395877 130383840 133100170 139611920 143208480 145595288 146191990 146592516 152114480 159720204 167076560 167534304 175430388 181994110 182537376 183240645 195456688 199650255 200491872 209417880 212960272 218392932 219287985 228171720 233907184 244320860 250614840 254791754 266200340 272991165 279223840 291190576 292383980 293185032 304228960 319440408 334153120 350860776 363988220 366481290 382187631 390913376 399300510 418835760 425920544 436785864 438575970 456343440 467814368 488641720 501229680 509583508 532400680 545982330 582381152 584767960 586370064 636979385 638880816 701721552 727976440 732962580 764375262 798601020 837671520 873571728 877151940 891771139 912686880 977283440 1002459360 1019167016 1064801360 1091964660 1169535920 1172740128 1273958770 1277761632 1403443104 1455952880 1465925160 1528750524 1597202040 1747143456 1754303880 1783542278 1910938155 1954566880 2038334032 2129602720 2183929320 2339071840 2547917540 2675313417 2911905760 2931850320 3057501048 3194404080 3508607760 3567084556 3821876310 4076668064 4367858640 4458855695 5095835080 5350626834 5863700640 6115002096 6388808160 7017215520 7134169112 7643752620 8735717280 8917711390 10191670160 10701253668 12230004192 13376567085 14268338224 15287505240 17835422780 20383340320 21402507336 26753134170 28536676448 30575010480 35670845560 42805014672 53506268340 61150020960 71341691120 85610029344 107012536680 142683382240 214025073360 428050146720
- Sum of all divisors σ(n): 1640603450304
- Sum of proper divisors (its aliquot sum) s(n): 1212553303584
- 428050146720 is an abundant number, because the sum of its proper divisors (1212553303584) is greater than itself. Its abundance is 784503156864
Bases of 428050146720
- Binary: 1100011101010011100011011100101101000002
- Hexadecimal: 0x63A9C6E5A0
- Base-36: 5GN6071C
Squares and roots of 428050146720
- 428050146720 squared (4280501467202) is 183226928107013526758400
- 428050146720 cubed (4280501467203) is 78430313459262031989957765992448000
-
The
square root of 428050146720 is 654255.4139783637 -
The
cube root of 428050146720 is 7536.4163557315
Scales and comparisons
How big is 428050146720?- 428,050,146,720 seconds is equal to 13,610 years, 34 weeks, 6 days, 2 hours, 32 minutes.
-
To count from 1 to 428,050,146,720 would take you about twenty-seven thousand, two hundred twenty-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 428050146720 cubic inches would be around 628 feet tall.
Recreational maths with 428050146720
- 428050146720 backwards is 027641050824
- The number of decimal digits it has is: 12
- The sum of 428050146720's digits is 39
- More coming soon!
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