428745173688320
428,745,173,688,320 is an even composite number composed of six prime numbers multiplied together.
428745173688320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 428745173688320:
213 × 5 × 19 × 292 × 349 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 19 × 29 × 29 × 349 × 1877)See below for interesting mathematical facts about the number 428745173688320 from the Numbermatics database.
Names of 428745173688320
- Cardinal: 428745173688320 can be written as Four hundred twenty-eight trillion, seven hundred forty-five billion, one hundred seventy-three million, six hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.2874517368832 × 1014
Factors of 428745173688320
Divisors of 428745173688320
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 29 32 38 40 58 64 76 80 95 116 128 145 152 160 190 232 256 290 304 320 349 380 464 512 551 580 608 640 698 760 841 928 1024 1102 1160 1216 1280 1396 1520 1682 1745 1856 1877 2048 2204 2320 2432 2560 2755 2792 3040 3364 3490 3712 3754 4096 4205 4408 4640 4864 5120 5510 5584 6080 6631 6728 6980 7424 7508 8192 8410 8816 9280 9385 9728 10121 10240 11020 11168 12160 13262 13456 13960 14848 15016 15979 16820 17632 18560 18770 19456 20242 20480 22040 22336 24320 26524 26912 27920 29696 30032 31958 33155 33640 35264 35663 37120 37540 38912 40484 40960 44080 44672 48640 50605 53048 53824 54433 55840 59392 60064 63916 66310 67280 70528 71326 74240 75080 77824 79895 80968 88160 89344 97280 101210 106096 107648 108866 111680 118784 120128 127832 132620 134560 141056 142652 148480 150160 155648 159790 161936 176320 178315 178688 192299 194560 202420 212192 215296 217732 223360 237568 240256 255664 265240 269120 272165 282112 285304 293509 296960 300320 319580 323872 352640 356630 357376 384598 389120 404840 424384 430592 435464 446720 480512 511328 530480 538240 544330 564224 570608 587018 593920 600640 639160 647744 655073 705280 713260 714752 769196 778240 809680 848768 861184 870928 893440 961024 961495 1022656 1034227 1060960 1076480 1088660 1128448 1141216 1174036 1187840 1201280 1278320 1295488 1310146 1410560 1426520 1429504 1467545 1538392 1578557 1619360 1697536 1722368 1741856 1786880 1922048 1922990 2045312 2068454 2121920 2152960 2177320 2256896 2282432 2348072 2402560 2556640 2590976 2620292 2821120 2853040 2859008 2935090 3076784 3157114 3238720 3275365 3395072 3444736 3483712 3573760 3844096 3845980 4090624 4136908 4243840 4305920 4354640 4513792 4564864 4696144 4805120 5113280 5171135 5181952 5240584 5576671 5642240 5706080 5870180 6153568 6314228 6477440 6550730 6790144 6889472 6967424 7147520 7688192 7691960 7892785 8181248 8273816 8487680 8611840 8709280 9129728 9392288 9610240 10226560 10342270 10363904 10481168 11153342 11284480 11412160 11740360 12307136 12446387 12628456 12954880 13101460 13580288 13934848 14295040 15376384 15383920 15785570 16362496 16547632 16975360 17223680 17418560 18259456 18784576 18997117 19220480 20453120 20684540 20727808 20962336 22306684 22568960 22824320 23480720 24614272 24892774 25256912 25909760 26202920 27160576 27869696 27883355 29992583 30767840 31571140 32724992 33095264 33950720 34447360 34837120 36518912 37569152 37994234 38440960 40906240 41369080 41455616 41924672 44613368 45648640 46961440 49228544 49785548 50513824 51819520 52405840 54321152 55739392 55766710 59985166 61535680 62231935 63142280 65449984 66190528 67901440 69674240 73037824 75138304 75988468 76881920 81812480 82738160 82911232 83849344 89226736 91297280 93922880 94985585 98457088 99571096 101027648 103639040 104811680 111478784 111533420 119970332 123071360 124463870 126284560 130899968 132381056 135802880 139348480 146075648 149962915 150276608 151976936 163624960 165476320 167698688 178453472 182594560 187845760 189971170 196914176 199142192 202055296 207278080 209623360 222957568 223066840 239940664 246142720 248927740 252569120 264762112 271605760 278696960 292151296 299925830 300553216 303953872 327249920 330952640 335397376 356906944 360945223 365189120 375691520 379942340 393828352 398284384 404110592 414556160 419246720 445915136 446133680 479881328 492285440 497855480 505138240 529524224 550916393 557393920 599851660 601106432 607907744 654499840 661905280 670794752 713813888 721890446 730378240 751383040 759884680 787656704 796568768 808221184 838493440 892267360 959762656 984570880 995710960 1010276480 1059048448 1101832786 1114787840 1199703320 1202212864 1215815488 1323810560 1341589504 1427627776 1443780892 1460756480 1502766080 1519769360 1575313408 1593137536 1616442368 1676986880 1784534720 1804726115 1919525312 1969141760 1991421920 2020552960 2118096896 2203665572 2229575680 2399406640 2404425728 2431630976 2647621120 2683179008 2754581965 2855255552 2887561784 3005532160 3039538720 3186275072 3232884736 3353973760 3569069440 3609452230 3839050624 3938283520 3982843840 4041105920 4236193792 4407331144 4798813280 4863261952 5295242240 5366358016 5509163930 5710511104 5775123568 6011064320 6079077440 6372550144 6465769472 6707947520 7138138880 7218904460 7678101248 7876567040 7965687680 8082211840 8472387584 8814662288 9597626560 9726523904 10467411467 10590484480 11018327860 11421022208 11550247136 12022128640 12158154880 12745100288 12931538944 13415895040 14276277760 14437808920 15356202496 15931375360 16164423680 17629324576 19195253120 19453047808 20934822934 21180968960 22036655720 22842044416 23100494272 24316309760 25490200576 26831790080 28552555520 28875617840 30712404992 31862750720 32328847360 35258649152 38390506240 38906095616 41869645868 42361937920 44073311440 45684088832 46200988544 48632619520 50980401152 52337057335 57105111040 57751235680 61424809984 63725501440 64657694720 70517298304 76781012480 77812191232 83739291736 88146622880 92401977088 97265239040 101960802304 104674114670 114210222080 115502471360 122849619968 127451002880 141034596608 153562024960 155624382464 167478583472 176293245760 184803954176 194530478080 209348229340 228420444160 231004942720 245699239936 254902005760 282069193216 307124049920 334957166944 352586491520 369607908352 389060956160 418696458680 462009885440 509804011520 564138386432 614248099840 669914333888 705172983040 739215816704 778121912320 837392917360 924019770880 1128276772864 1228496199680 1339828667776 1410345966080 1478431633408 1674785834720 1848039541760 2256553545728 2679657335552 2820691932160 2956863266816 3349571669440 3696079083520 4513107091456 5359314671104 5641383864320 6699143338880 7392158167040 10718629342208 11282767728640 13398286677760 14784316334080 21437258684416 22565535457280 26796573355520 42874517368832 53593146711040 85749034737664 107186293422080 214372586844160 428745173688320
- Sum of all divisors σ(n): 1125528417468000
- Sum of proper divisors (its aliquot sum) s(n): 696783243779680
- 428745173688320 is an abundant number, because the sum of its proper divisors (696783243779680) is greater than itself. Its abundance is 268038070091360
Bases of 428745173688320
- Binary: 11000010111110001000000111100011011100000000000002
- Hexadecimal: 0x185F103C6E000
- Base-36: 47Z6TAJI0W
Squares and roots of 428745173688320
- 428745173688320 squared (4287451736883202) is 183822423961027684432504422400
- 428745173688320 cubed (4287451736883203) is 78812977088978810680658091153734519226368000
-
The
square root of 428745173688320 is 20706162.6982963697 -
The
cube root of 428745173688320 is 75404.9312120051
Scales and comparisons
How big is 428745173688320?- 428,745,173,688,320 seconds is equal to 13,632,770 years, 17 weeks, 4 hours, 5 minutes, 20 seconds.
-
To count from 1 to 428,745,173,688,320 would take you about thirty-four million, eighty-one thousand, nine hundred twenty-five 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 428745173688320 cubic inches would be around 6283.7 feet tall.
Recreational maths with 428745173688320
- 428745173688320 backwards is 023886371547824
- The number of decimal digits it has is: 15
- The sum of 428745173688320's digits is 68
- More coming soon!
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The information we have on file for 428745173688320 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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