428528204973000
428,528,204,973,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 428528204973000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2688 divisors.
428528204973000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 428528204973000:
23 × 33 × 53 × 116 × 172 × 31
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 17 × 17 × 31)See below for interesting mathematical facts about the number 428528204973000 from the Numbermatics database.
Names of 428528204973000
- Cardinal: 428528204973000 can be written as Four hundred twenty-eight trillion, five hundred twenty-eight billion, two hundred four million, nine hundred seventy-three thousand.
Scientific notation
- Scientific notation: 4.28528204973 × 1014
Factors of 428528204973000
Divisors of 428528204973000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 17 18 20 22 24 25 27 30 31 33 34 36 40 44 45 50 51 54 55 60 62 66 68 72 75 85 88 90 93 99 100 102 108 110 120 121 124 125 132 135 136 150 153 155 165 170 180 186 187 198 200 204 216 220 225 242 248 250 255 264 270 275 279 289 297 300 306 310 330 340 341 360 363 372 374 375 396 408 425 440 450 459 465 484 495 500 510 527 540 550 558 561 578 594 600 605 612 620 660 675 680 682 726 744 748 750 765 775 792 825 837 850 867 900 918 930 935 968 990 1000 1020 1023 1054 1080 1089 1100 1116 1122 1125 1156 1188 1210 1224 1240 1275 1320 1331 1350 1364 1375 1395 1445 1452 1485 1496 1500 1530 1550 1581 1650 1674 1683 1700 1705 1734 1800 1815 1836 1860 1870 1980 2040 2046 2057 2108 2125 2178 2200 2232 2244 2250 2295 2312 2325 2376 2420 2475 2550 2601 2635 2662 2700 2728 2750 2790 2805 2890 2904 2970 3000 3025 3060 3069 3100 3162 3179 3267 3300 3348 3366 3375 3400 3410 3468 3630 3672 3720 3740 3751 3825 3875 3960 3993 4092 4114 4125 4185 4216 4250 4335 4356 4488 4500 4590 4650 4675 4743 4840 4950 5049 5100 5115 5202 5270 5324 5400 5445 5500 5580 5610 5780 5797 5940 6050 6120 6138 6171 6200 6324 6358 6375 6534 6600 6655 6696 6732 6750 6820 6936 6975 7225 7260 7425 7480 7502 7650 7750 7803 7905 7986 8184 8228 8250 8370 8415 8500 8525 8670 8712 8959 9000 9075 9180 9207 9300 9350 9486 9537 9900 10098 10200 10230 10285 10404 10540 10648 10890 11000 11160 11220 11253 11475 11560 11594 11625 11880 11979 12100 12276 12342 12375 12648 12716 12750 13005 13068 13175 13310 13464 13500 13640 13950 14025 14229 14450 14520 14641 14850 15004 15125 15300 15345 15500 15606 15810 15895 15972 16335 16456 16500 16740 16830 17000 17050 17340 17391 17918 18150 18360 18414 18513 18600 18700 18755 18972 19074 19125 19800 19965 20196 20460 20570 20808 20925 21080 21675 21780 22440 22506 22627 22950 23188 23250 23375 23715 23958 24200 24552 24684 24750 25245 25432 25500 25575 26010 26136 26350 26620 26877 27000 27225 27900 28050 28458 28611 28900 28985 29282 29700 30008 30250 30600 30690 30855 31000 31212 31620 31790 31944 32670 33000 33275 33480 33660 33759 34100 34680 34782 34875 34969 35836 35937 36125 36300 36828 37026 37125 37400 37510 37944 38148 38250 39015 39525 39930 40392 40920 41140 41261 41850 42075 42625 43350 43560 43923 44795 45012 45254 45375 45900 46035 46376 46500 46750 47430 47685 47916 49368 49500 50490 51000 51150 51425 52020 52173 52700 53240 53754 54450 55539 55800 56100 56265 56916 57222 57375 57800 57970 58564 59400 59895 60500 61380 61710 62424 63240 63580 63767 65025 65340 65875 66550 67320 67518 67881 68200 69564 69750 69938 70125 71145 71672 71874 72250 72600 73205 73656 74052 74250 75020 76296 76500 76725 78030 79050 79475 79860 80631 81675 82280 82522 83700 84150 85250 85833 86700 86955 87846 89590 90024 90508 90750 91800 92070 92565 93000 93500 93775 94860 95370 95832 98549 99000 99825 100980 101277 102300 102850 104040 104346 104625 104907 105400 107508 108375 108900 111078 112200 112530 113135 113832 114444 114750 115940 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53659930500 54209766600 54918391000 55293961932 56016758820 57121861500 57289866975 57714236360 59025923550 59311862280 61437735480 61783189875 62834047650 63485659996 63655407750 63997641125 64391916600 64928515905 65584359500 67220110584 67399843500 67762208250 69117452415 69442263000 69815608500 70020948525 70831108260 72142795450 73922409000 74139827850 76386489300 76797169350 77914219086 78701231400 79357074995 80489895750 81314649900 82377586500 83778730200 84025138230 84873877000 86571354540 88538885325 90349611000 91663787160 92156603220 93361264700 95228489994 95483111625 98376539250 98853103800 100830165876 101643312375 102396225800 103885625448 104163394500 104723412750 107319861000 108214193175 110587923864 112033517640 114243723000 114579733950 115195754025 116701580875 118051847100 123566379750 125668095300 126037707345 126971319992 127310815500 127995282250 129857031810 131168719000 134799687000 135524416500 138234904830 139631217000 140041897050 141662216520 142842734991 144285590900 147564808875 148279655700 152772978600 153594338700 155828438172 157085119125 158714149990 160979791500 162629299800 164755173000 168050276460 173142709080 177077770650 180356988625 184313206440 185349569625 186722529400 190456979988 190966223250 191992923375 194785547715 196753078500 201660331752 203286624750 208326789000 209446825500 210062845575 216428386350 229159467900 230391508050 233403161750 236103694200 238071224985 247132759500 251336190600 252075414690 254621631000 255990564500 259714063620 271048833000 276469809660 280083794100 285685469982 286449334875 288571181800 295129617750 296559311400 307188677400 311656876344 314170238250 317428299980 321959583000 324642579525 336100552920 345587262075 350104742625 354155541300 360713977250 370699139250 380913959976 381932446500 383985846750 389571095430 393506157000 396785374975 406573249500 418893651000 420125691150 428528204973 432856772700 442694426625 458318935800 460783016100 466806323500 476142449970 494265519000 504150829380 511981129000 519428127240 541070965875 552939619320 560167588200 571370939964 572898669750 575978770125 590259235500 628340476500 630188536725 634856599960 649285159050 691174524150 700209485250 708311082600 714213674955 721427954500 741398278500 763864893000 767971693500 779142190860 793570749950 813146499000 840251382300 857056409946 865713545400 885388853250 921566032200 933612647000 952284899940 973927738575 1008301658760 1050314227875 1082141931750 1142741879928 1145797339500 1151957540250 1180518471000 1190356124925 1256680953000 1260377073450 1298570318100 1382349048300 1400418970500 1428427349910 1442855909000 1482796557000 1535943387000 1558284381720 1587141499900 1623212897625 1680502764600 1714112819892 1727936310375 1770777706500 1904569799880 1947855477150 1983926874875 2100628455750 2142641024865 2164283863500 2291594679000 2303915080500 2380712249850 2520754146900 2597140636200 2764698096600 2800837941000 2856854699820 3150942683625 3174282999800 3246425795250 3428225639784 3455872620750 3541555413000 3571068374775 3895710954300 3967853749750 4201256911500 4285282049730 4328567727000 4607830161000 4761424499700 4869638692875 5041508293800 5713709399640 5951780624625 6301885367250 6492851590500 6911745241500 7142136749550 7791421908600 7935707499500 8402513823000 8570564099460 9522848999400 9739277385750 10713205124325 11903561249250 12603770734500 12985703181000 13823490483000 14284273499100 15871414999000 17141128198920 17855341873875 19478554771500 21426410248650 23807122498500 25207541469000 28568546998200 35710683747750 38957109543000 42852820497300 47614244997000 53566025621625 71421367495500 85705640994600 107132051243250 142842734991000 214264102486500 428528204973000
- Sum of all divisors σ(n): 1791896727628800
- Sum of proper divisors (its aliquot sum) s(n): 1363368522655800
- 428528204973000 is an abundant number, because the sum of its proper divisors (1363368522655800) is greater than itself. Its abundance is 934840317682800
Bases of 428528204973000
- Binary: 11000010110111110011111110110111100000011110010002
- Hexadecimal: 0x185BE7F6F03C8
- Base-36: 47WF50YXU0
Squares and roots of 428528204973000
- 428528204973000 squared (4285282049730002) is 183636422457381501930729000000
- 428528204973000 cubed (4285282049730003) is 78693386483325200616230032159315317000000000
-
The
square root of 428528204973000 is 20700922.8048654875 -
The
cube root of 428528204973000 is 75392.2093804771
Scales and comparisons
How big is 428528204973000?- 428,528,204,973,000 seconds is equal to 13,625,871 years, 20 weeks, 3 days, 4 hours, 30 minutes.
-
To count from 1 to 428,528,204,973,000 would take you about thirty-four million, sixty-four thousand, six hundred seventy-eight 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 428528204973000 cubic inches would be around 6282.7 feet tall.
Recreational maths with 428528204973000
- 428528204973000 backwards is 000379402825824
- 428528204973000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428528204973000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 428528204973000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 428528204973000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/428528204973000/
Chicago style:
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The information we have on file for 428528204973000 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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