428438197200
428,438,197,200 is an even composite number composed of seven prime numbers multiplied together.
428438197200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 428438197200:
24 × 3 × 52 × 13 × 19 × 73 × 19801
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 19 × 73 × 19801)See below for interesting mathematical facts about the number 428438197200 from the Numbermatics database.
Names of 428438197200
- Cardinal: 428438197200 can be written as Four hundred twenty-eight billion, four hundred thirty-eight million, one hundred ninety-seven thousand, two hundred.
Scientific notation
- Scientific notation: 4.284381972 × 1011
Factors of 428438197200
Divisors of 428438197200
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 38 39 40 48 50 52 57 60 65 73 75 76 78 80 95 100 104 114 120 130 146 150 152 156 190 195 200 208 219 228 240 247 260 285 292 300 304 312 325 365 380 390 400 438 456 475 494 520 570 584 600 624 650 730 741 760 780 876 912 949 950 975 988 1040 1095 1140 1168 1200 1235 1300 1387 1425 1460 1482 1520 1560 1752 1825 1898 1900 1950 1976 2190 2280 2470 2600 2774 2847 2850 2920 2964 3120 3504 3650 3705 3796 3800 3900 3952 4161 4380 4560 4745 4940 5200 5475 5548 5694 5700 5840 5928 6175 6935 7300 7410 7592 7600 7800 8322 8760 9490 9880 10950 11096 11388 11400 11856 12350 13870 14235 14600 14820 15184 15600 16644 17520 18031 18525 18980 19760 19801 20805 21900 22192 22776 22800 23725 24700 27740 28470 29200 29640 33288 34675 36062 37050 37960 39602 41610 43800 45552 47450 49400 54093 55480 56940 59280 59403 66576 69350 71175 72124 74100 75920 79204 83220 87600 90155 94900 98800 99005 104025 108186 110960 113880 118806 138700 142350 144248 148200 158408 166440 180310 189800 198010 208050 216372 227760 237612 257413 270465 277400 284700 288496 296400 297015 316816 332880 360620 376219 379600 396020 416100 432744 450775 475224 495025 514826 540930 554800 569400 594030 721240 752438 772239 792040 832200 865488 901550 950448 990050 1029652 1081860 1128657 1138800 1188060 1287065 1352325 1442480 1445473 1485075 1504876 1544478 1584080 1664400 1803100 1881095 1980100 2059304 2163720 2257314 2376120 2574130 2704650 2890946 2970150 3009752 3088956 3606200 3762190 3861195 3960200 4118608 4327440 4336419 4514628 4752240 4890847 5148260 5409300 5643285 5781892 5940300 6019504 6177912 6435325 7212400 7227365 7524380 7722390 7920400 8672838 9029256 9405475 9781694 10296520 10818600 11286570 11563784 11880600 12355824 12870650 14454730 14672541 15048760 15444780 17345676 18058512 18791149 18810950 19305975 19563388 20593040 21637200 21682095 22573140 23127568 23761200 24454235 25741300 27463987 28216425 28909460 29345082 30097520 30889560 34691352 36136825 37582298 37621900 38611950 39126776 43364190 45146280 48908470 51482600 54927974 56373447 56432850 57818920 58690164 61779120 69382704 72273650 73362705 75164596 75243800 77223900 78253552 82391961 86728380 90292560 93955745 97816940 102965200 108410475 109855948 112746894 112865700 115637840 117380328 122271175 137319935 144547300 146725410 150329192 150487600 154447800 164783922 173456760 187911490 195633880 216820950 219711896 225493788 225731400 234760656 244542350 274639870 281867235 289094600 293450820 300658384 308895600 329567844 346913520 357031831 366813525 375822980 391267760 411959805 433641900 439423792 450987576 451462800 469778725 489084700 549279740 563734470 578189200 586901640 659135688 686599675 714063662 733627050 751645960 823919610 867283800 901975152 939557450 978169400 1071095493 1098559480 1127468940 1173803280 1318271376 1373199350 1409336175 1428127324 1467254100 1503291920 1647839220 1734567600 1785159155 1879114900 1956338800 2059799025 2142190986 2197118960 2254937880 2746398700 2818672350 2856254648 2934508200 3295678440 3570318310 3758229800 4119598050 4284381972 4509875760 5355477465 5492797400 5637344700 5712509296 5869016400 6591356880 7140636620 7516459600 8239196100 8568763944 8925795775 10710954930 10985594800 11274689400 14281273240 16478392200 17137527888 17851591550 21421909860 22549378800 26777387325 28562546480 32956784400 35703183100 42843819720 53554774650 71406366200 85687639440 107109549300 142812732400 214219098600 428438197200
- Sum of all divisors σ(n): 1577183359360
- Sum of proper divisors (its aliquot sum) s(n): 1148745162160
- 428438197200 is an abundant number, because the sum of its proper divisors (1148745162160) is greater than itself. Its abundance is 720306964960
Bases of 428438197200
- Binary: 1100011110000001110100000010011110100002
- Hexadecimal: 0x63C0E813D0
- Base-36: 5GTL1GPC
Squares and roots of 428438197200
- 428438197200 squared (4284381972002) is 183559288819986087840000
- 428438197200 cubed (4284381972003) is 78643810781348954803250442048000000
-
The
square root of 428438197200 is 654551.9056576033 -
The
cube root of 428438197200 is 7538.6930568063
Scales and comparisons
How big is 428438197200?- 428,438,197,200 seconds is equal to 13,623 years, 3 days, 10 hours, 20 minutes.
-
To count from 1 to 428,438,197,200 would take you about twenty-seven thousand, two hundred forty-six 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 428438197200 cubic inches would be around 628.2 feet tall.
Recreational maths with 428438197200
- 428438197200 backwards is 002791834824
- 428438197200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 428438197200's digits is 48
- More coming soon!
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