428374129920
428,374,129,920 is an even composite number composed of seven prime numbers multiplied together.
428374129920 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 428374129920:
28 × 3 × 5 × 11 × 312 × 61 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 31 × 31 × 61 × 173)See below for interesting mathematical facts about the number 428374129920 from the Numbermatics database.
Names of 428374129920
- Cardinal: 428374129920 can be written as Four hundred twenty-eight billion, three hundred seventy-four million, one hundred twenty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.2837412992 × 1011
Factors of 428374129920
Divisors of 428374129920
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 32 33 40 44 48 55 60 61 62 64 66 80 88 93 96 110 120 122 124 128 132 155 160 165 173 176 183 186 192 220 240 244 248 256 264 305 310 320 330 341 346 352 366 372 384 440 465 480 488 496 519 528 610 620 640 660 671 682 692 704 732 744 768 865 880 915 930 960 961 976 992 1023 1038 1056 1220 1240 1280 1320 1342 1364 1384 1408 1464 1488 1705 1730 1760 1830 1860 1891 1903 1920 1922 1952 1984 2013 2046 2076 2112 2440 2480 2595 2640 2684 2728 2768 2816 2883 2928 2976 3355 3410 3460 3520 3660 3720 3782 3806 3840 3844 3904 3968 4026 4092 4152 4224 4805 4880 4960 5115 5190 5280 5363 5368 5456 5536 5673 5709 5766 5856 5952 6710 6820 6920 7040 7320 7440 7564 7612 7688 7808 7936 8052 8184 8304 8448 9455 9515 9610 9760 9920 10065 10230 10380 10553 10560 10571 10726 10736 10912 11072 11346 11418 11532 11712 11904 13420 13640 13840 14080 14415 14640 14880 15128 15224 15376 15616 16089 16104 16368 16608 18910 19030 19220 19520 19840 20130 20460 20760 20801 21106 21120 21142 21452 21472 21824 22144 22692 22836 23064 23424 23808 26815 26840 27280 27680 28365 28545 28830 29280 29760 30256 30448 30752 31659 31713 32178 32208 32736 33216 37820 38060 38440 39040 39680 40260 40920 41520 41602 42212 42240 42284 42904 42944 43648 44288 45384 45672 46128 46848 52765 52855 53630 53680 54560 55360 56730 57090 57660 58560 58621 58993 59520 60512 60896 61504 62403 63318 63426 64356 64416 65472 66432 75640 76120 76880 78080 80445 80520 81840 83040 83204 84424 84568 85808 85888 87296 90768 91344 92256 104005 105530 105710 107260 107360 109120 110720 113460 114180 115320 116083 117120 117242 117986 119040 121024 121792 123008 124806 126636 126852 128712 128832 130944 132864 151280 152240 153760 158295 158565 160890 161040 163680 166080 166253 166408 168848 169136 171616 171776 175863 176979 181536 182688 184512 208010 211060 211420 214520 214720 218240 221440 226920 228360 230640 232166 234240 234484 235972 242048 243584 246016 249612 253272 253704 257424 257664 261888 293105 294965 302560 304480 307520 312015 316590 317130 321780 322080 327143 327360 332160 332506 332816 337696 338272 343232 348249 351726 353958 363072 365376 369024 416020 422120 422840 429040 429440 436480 453840 456720 461280 464332 468968 471944 484096 487168 498759 499224 506544 507408 514848 515328 580415 586210 589930 605120 608960 615040 624030 633180 634260 643560 644160 644831 654286 654720 664320 665012 665632 675392 676544 686464 696498 703452 707916 726144 730752 738048 831265 832040 844240 845680 858080 858880 879315 884895 907680 913440 922560 928664 937936 943888 981429 997518 998448 1013088 1014816 1029696 1160830 1172420 1179860 1210240 1217920 1230080 1248060 1266360 1268520 1287120 1288320 1289662 1308572 1309440 1330024 1331264 1350784 1353088 1372928 1392996 1406904 1415832 1452288 1461504 1635715 1662530 1664080 1688480 1691360 1716160 1741245 1758630 1769790 1815360 1826880 1828783 1845120 1857328 1875872 1887776 1934493 1962858 1995036 1996896 2026176 2029632 2059392 2321660 2344840 2359720 2420480 2435840 2493795 2496120 2532720 2537040 2574240 2576640 2579324 2617144 2660048 2662528 2701568 2706176 2785992 2813808 2831664 3224155 3271430 3325060 3328160 3376960 3382720 3432320 3482490 3517260 3539580 3598573 3630720 3653760 3657566 3690240 3714656 3751744 3775552 3868986 3925716 3990072 3993792 4052352 4059264 4118784 4643320 4689680 4719440 4907145 4987590 4992240 5065440 5074080 5148480 5158648 5234288 5320096 5325056 5486349 5571984 5627616 5663328 6448310 6542860 6650120 6656320 6753920 6765440 6864640 6964980 7034520 7079160 7197146 7261440 7307520 7315132 7429312 7503488 7551104 7737972 7851432 7980144 7987584 8104704 8118528 9143915 9286640 9379360 9438880 9672465 9814290 9975180 9984480 10130880 10141433 10148160 10296960 10317296 10468576 10640192 10795719 10972698 11143968 11255232 11326656 12896620 13085720 13300240 13312640 13507840 13530880 13929960 14069040 14158320 14394292 14630264 14858624 15006976 15102208 15475944 15702864 15960288 15975168 17992865 18287830 18573280 18758720 18877760 19344930 19628580 19950360 19968960 20261760 20282866 20296320 20593920 20634592 20937152 21280384 21591438 21945396 22287936 22510464 22653312 25793240 26171440 26600480 26625280 27431745 27859920 28138080 28316640 28788584 29260528 29717248 30424299 30951888 31405728 31920576 35985730 36575660 37146560 37517440 37755520 38689860 39257160 39900720 39937920 40523520 40565732 40592640 41269184 41874304 42560768 43182876 43890792 44575872 45020928 45306624 50707165 51586480 52342880 53200960 53978595 54863490 55719840 56276160 56633280 57577168 58521056 60848598 61903776 62811456 63841152 71971460 73151320 74293120 75034880 75511040 77379720 78514320 79801440 79875840 81131464 82538368 83748608 86365752 87781584 89151744 101414330 103172960 104685760 106401920 107957190 109726980 111439680 111555763 112552320 113266560 115154336 117042112 121697196 123807552 125622912 127682304 143942920 146302640 148586240 152121495 154759440 157028640 159602880 162262928 165076736 172731504 175563168 202828660 206345920 209371520 212803840 215914380 219453960 222879360 223111526 225104640 226533120 230308672 234084224 243394392 247615104 251245824 287885840 292605280 304242990 309518880 314057280 319205760 324525856 334667289 345463008 351126336 405657320 412691840 418743040 431828760 438907920 445758720 446223052 460617344 468168448 486788784 495230208 557778815 575771680 585210560 608485980 619037760 628114560 638411520 649051712 669334578 690926016 702252672 811314640 825383680 863657520 877815840 892446104 921234688 973577568 1115557630 1151543360 1170421120 1216971960 1238075520 1256229120 1298103424 1338669156 1381852032 1404505344 1622629280 1673336445 1727315040 1755631680 1784892208 1947155136 2231115260 2303086720 2340842240 2433943920 2476151040 2596206848 2677338312 2763704064 3245258560 3346672890 3454630080 3511263360 3569784416 3894310272 4462230520 4606173440 4867887840 5354676624 6490517120 6693345780 6909260160 7022526720 7139568832 7788620544 8924461040 9735775680 10709353248 12981034240 13386691560 13818520320 14279137664 17848922080 19471551360 21418706496 26773383120 28558275328 35697844160 38943102720 42837412992 53546766240 71395688320 85674825984 107093532480 142791376640 214187064960 428374129920
- Sum of all divisors σ(n): 1576534845312
- Sum of proper divisors (its aliquot sum) s(n): 1148160715392
- 428374129920 is an abundant number, because the sum of its proper divisors (1148160715392) is greater than itself. Its abundance is 719786585472
Bases of 428374129920
- Binary: 1100011101111010001011001111101000000002
- Hexadecimal: 0x63BD167D00
- Base-36: 5GSIWA2O
Squares and roots of 428374129920
- 428374129920 squared (4283741299202) is 183504395184717039206400
- 428374129920 cubed (4283741299203) is 78608535623748999351440127295488000
-
The
square root of 428374129920 is 654502.9640269017 -
The
cube root of 428374129920 is 7538.3172673781
Scales and comparisons
How big is 428374129920?- 428,374,129,920 seconds is equal to 13,620 years, 50 weeks, 3 days, 21 hours, 52 minutes.
-
To count from 1 to 428,374,129,920 would take you about twenty-seven thousand, two hundred forty-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 428374129920 cubic inches would be around 628.2 feet tall.
Recreational maths with 428374129920
- 428374129920 backwards is 029921473824
- The number of decimal digits it has is: 12
- The sum of 428374129920's digits is 51
- More coming soon!
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