428427907514100
428,427,907,514,100 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428427907514100 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
428427907514100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 428427907514100:
22 × 39 × 52 × 13 × 232 × 31 × 1021
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 23 × 23 × 31 × 1021)See below for interesting mathematical facts about the number 428427907514100 from the Numbermatics database.
Names of 428427907514100
- Cardinal: 428427907514100 can be written as Four hundred twenty-eight trillion, four hundred twenty-seven billion, nine hundred seven million, five hundred fourteen thousand, one hundred.
Scientific notation
- Scientific notation: 4.284279075141 × 1014
Factors of 428427907514100
Divisors of 428427907514100
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 18 20 23 25 26 27 30 31 36 39 45 46 50 52 54 60 62 65 69 75 78 81 90 92 93 100 108 115 117 124 130 135 138 150 155 156 162 180 186 195 207 225 230 234 243 260 270 276 279 299 300 310 324 325 345 351 372 390 403 405 414 450 460 465 468 486 529 540 558 575 585 598 620 621 650 675 690 702 713 729 775 780 806 810 828 837 897 900 930 972 975 1021 1035 1053 1058 1116 1150 1170 1196 1209 1215 1242 1300 1350 1380 1395 1404 1426 1458 1495 1550 1587 1612 1620 1674 1725 1755 1794 1860 1863 1950 2015 2025 2042 2070 2106 2116 2139 2187 2300 2325 2340 2418 2430 2484 2511 2645 2691 2700 2790 2852 2916 2925 2990 3063 3100 3105 3159 3174 3348 3450 3510 3565 3588 3627 3645 3726 3900 4030 4050 4084 4140 4185 4212 4278 4374 4485 4650 4761 4836 4860 5022 5105 5175 5265 5290 5382 5580 5589 5850 5980 6045 6075 6126 6210 6318 6348 6417 6561 6877 6900 6975 7020 7130 7254 7290 7452 7475 7533 7935 8060 8073 8100 8370 8556 8748 8775 8970 9189 9269 9300 9315 9477 9522 10044 10075 10210 10350 10530 10580 10695 10764 10881 10935 11178 11700 12090 12150 12252 12420 12555 12636 12834 13122 13225 13273 13455 13754 13950 14260 14283 14508 14580 14950 15066 15315 15525 15795 15870 16146 16399 16740 16767 17550 17825 17940 18135 18225 18378 18538 18630 18954 19044 19251 19683 20150 20420 20631 20700 20925 21060 21390 21762 21870 22356 22425 22599 23483 23805 24180 24219 24300 25110 25525 25668 26244 26325 26450 26546 26910 27508 27567 27807 27900 27945 28431 28566 29900 30132 30225 30630 31050 31590 31651 31740 32085 32292 32643 32798 32805 33534 34385 35100 35650 36270 36450 36756 37076 37260 37665 37908 38502 39366 39675 39819 40300 40365 41262 41850 42780 42849 43524 43740 44850 45198 45945 46345 46575 46966 47385 47610 48438 49197 50220 50301 51050 52650 52900 53092 53475 53820 54405 54675 55134 55614 55890 56862 57132 57753 60450 61260 61893 62100 62775 63180 63302 64170 65286 65596 65610 66365 67068 67275 67797 68770 70449 71300 71415 72540 72657 72900 75330 76575 77004 78732 78975 79350 79638 80730 81995 82524 82701 83421 83700 83835 85293 85698 89700 90396 90675 91890 92690 93150 93932 94770 94953 95220 96255 96876 97929 98394 98415 100602 102100 103155 105300 106950 108810 109350 110268 111228 111780 112995 113724 115506 117415 119025 119457 120900 121095 123786 125550 126604 128340 128547 130572 131220 132730 134550 135594 137540 137835 139035 139725 140898 142155 142830 145314 147591 150660 150903 153150 157950 158255 158700 159276 160425 161460 163215 163990 164025 165402 166842 167670 170586 171396 171925 173259 181350 183780 185380 185679 186300 188325 189540 189906 192510 195858 196788 196830 199095 201204 201825 203391 206310 211347 213187 213900 214245 217620 217971 218700 225990 229725 231012 231725 234830 236925 238050 238914 242190 245985 247572 248103 250263 251100 251505 255879 257094 265460 269100 271188 272025 275670 278070 279450 281796 284310 284859 285660 288765 290628 293787 295182 301806 305279 306300 309465 315900 316510 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915444246825 921350338740 931365016335 952062016698 1034850018150 1057846685220 1063096544700 1098533096190 1151687923425 1220592329100 1241820021780 1318239715428 1322308356525 1382025508110 1428093025047 1432869255900 1535583897900 1552275027225 1586770027830 1647799644285 1763077808700 1830888493650 1862730032670 1904124033396 2069700036300 2197066192380 2303375846850 2380155041745 2644616713050 2746332740475 2764051016220 2856186050094 3104550054450 3173540055660 3295599288570 3455063770275 3661776987300 3725460065340 3966925069575 4284279075141 4606751693700 4656825081675 4760310083490 5289233426100 5492665480950 5712372100188 6209100108900 6591198577140 6910127540550 7140465125235 7933850139150 8238998221425 8568558150282 9313650163350 9520620166980 10985330961900 11900775208725 13820255081100 14280930250470 15867700278300 16477996442850 17137116300564 18627300326700 21421395375705 23801550417450 28561860500940 32955992885700 35702325626175 42842790751410 47603100834900 71404651252350 85685581502820 107106976878525 142809302504700 214213953757050 428427907514100
- Sum of all divisors σ(n): 1622142383020544
- Sum of proper divisors (its aliquot sum) s(n): 1193714475506444
- 428427907514100 is an abundant number, because the sum of its proper divisors (1193714475506444) is greater than itself. Its abundance is 765286567992344
Bases of 428427907514100
- Binary: 11000010110100111001001010011110100111110111101002
- Hexadecimal: 0x185A7253D3EF4
- Base-36: 47V52AGB90
Squares and roots of 428427907514100
- 428427907514100 squared (4284279075141002) is 183550471936910223241698810000
- 428427907514100 cubed (4284279075141003) is 78638144615155980613109322061248028221000000
-
The
square root of 428427907514100 is 20698500.1271613881 -
The
cube root of 428427907514100 is 75386.3270472981
Scales and comparisons
How big is 428427907514100?- 428,427,907,514,100 seconds is equal to 13,622,682 years, 12 weeks, 4 days, 23 hours, 15 minutes.
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To count from 1 to 428,427,907,514,100 would take you about thirty-four million, fifty-six thousand, seven hundred 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 428427907514100 cubic inches would be around 6282.2 feet tall.
Recreational maths with 428427907514100
- 428427907514100 backwards is 001415709724824
- 428427907514100 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428427907514100's digits is 54
- More coming soon!
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The information we have on file for 428427907514100 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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