480504960
480,504,960 is an even composite number composed of six prime numbers multiplied together.
480504960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 480504960:
27 × 34 × 5 × 13 × 23 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 23 × 31)See below for interesting mathematical facts about the number 480504960 from the Numbermatics database.
Names of 480504960
- Cardinal: 480504960 can be written as Four hundred eighty million, five hundred four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.8050496 × 108
Factors of 480504960
Divisors of 480504960
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 26 27 30 31 32 36 39 40 45 46 48 52 54 60 62 64 65 69 72 78 80 81 90 92 93 96 104 108 115 117 120 124 128 130 135 138 144 155 156 160 162 180 184 186 192 195 207 208 216 230 234 240 248 260 270 276 279 288 299 310 312 320 324 345 351 360 368 372 384 390 403 405 414 416 432 460 465 468 480 496 520 540 552 558 576 585 598 620 621 624 640 648 690 702 713 720 736 744 780 806 810 828 832 837 864 897 920 930 936 960 992 1035 1040 1053 1080 1104 1116 1152 1170 1196 1209 1240 1242 1248 1296 1380 1395 1404 1426 1440 1472 1488 1495 1560 1612 1620 1656 1664 1674 1728 1755 1794 1840 1860 1863 1872 1920 1984 2015 2070 2080 2106 2139 2160 2208 2232 2340 2392 2418 2480 2484 2496 2511 2592 2691 2760 2790 2808 2852 2880 2944 2976 2990 3105 3120 3224 3240 3312 3348 3456 3510 3565 3588 3627 3680 3720 3726 3744 3968 4030 4140 4160 4185 4212 4278 4320 4416 4464 4485 4680 4784 4836 4960 4968 4992 5022 5184 5265 5382 5520 5580 5616 5704 5760 5952 5980 6045 6210 6240 6417 6448 6480 6624 6696 7020 7130 7176 7254 7360 7440 7452 7488 8060 8073 8280 8320 8370 8424 8556 8640 8832 8928 8970 9269 9315 9360 9568 9672 9920 9936 10044 10368 10530 10695 10764 10881 11040 11160 11232 11408 11904 11960 12090 12420 12480 12555 12834 12896 12960 13248 13392 13455 14040 14260 14352 14508 14720 14880 14904 14976 16120 16146 16560 16740 16848 17112 17280 17856 17940 18135 18538 18630 18720 19136 19251 19344 19840 19872 20088 21060 21390 21528 21762 22080 22320 22464 22816 23920 24180 24219 24840 24960 25110 25668 25792 25920 26496 26784 26910 27807 28080 28520 28704 29016 29760 29808 32085 32240 32292 32643 33120 33480 33696 34224 35712 35880 36270 37076 37260 37440 38272 38502 38688 39744 40176 40365 42120 42780 43056 43524 44160 44640 44928 45632 46345 47840 48360 48438 49680 50220 51336 51584 51840 53568 53820 54405 55614 56160 57040 57408 57753 58032 59520 59616 64170 64480 64584 65286 66240 66960 67392 68448 71760 72540 74152 74520 74880 77004 77376 79488 80352 80730 83421 84240 85560 86112 87048 89280 91264 92690 95680 96255 96720 96876 99360 100440 102672 107136 107640 108810 111228 112320 114080 114816 115506 116064 119232 121095 128340 128960 129168 130572 132480 133920 134784 136896 139035 143520 145080 148304 149040 154008 154752 160704 161460 163215 166842 168480 171120 172224 174096 178560 185380 191360 192510 193440 193752 198720 200880 205344 215280 217620 222456 224640 228160 231012 232128 238464 242190 250263 256680 257920 258336 261144 267840 273792 278070 287040 288765 290160 296608 298080 308016 321408 322920 326430 333684 336960 342240 344448 348192 370760 385020 386880 387504 397440 401760 410688 417105 430560 435240 444912 456320 462024 464256 484380 500526 513360 516672 522288 535680 556140 574080 577530 580320 593216 596160 616032 645840 652860 667368 673920 684480 696384 741520 750789 770040 773760 775008 803520 821376 834210 861120 870480 889824 924048 968760 1001052 1026720 1033344 1044576 1112280 1155060 1160640 1186432 1192320 1232064 1251315 1291680 1305720 1334736 1368960 1392768 1483040 1501578 1540080 1550016 1607040 1668420 1722240 1740960 1779648 1848096 1937520 2002104 2053440 2089152 2224560 2310120 2321280 2464128 2502630 2583360 2611440 2669472 2966080 3003156 3080160 3100032 3336840 3481920 3559296 3696192 3753945 3875040 4004208 4106880 4178304 4449120 4620240 5005260 5166720 5222880 5338944 5932160 6006312 6160320 6673680 6963840 7392384 7507890 7750080 8008416 8898240 9240480 10010520 10445760 10677888 12012624 12320640 13347360 15015780 15500160 16016832 17796480 18480960 20021040 20891520 24025248 26694720 30031560 32033664 36961920 40042080 48050496 53389440 60063120 80084160 96100992 120126240 160168320 240252480 480504960
- Sum of all divisors σ(n): 1990517760
- Sum of proper divisors (its aliquot sum) s(n): 1510012800
- 480504960 is an abundant number, because the sum of its proper divisors (1510012800) is greater than itself. Its abundance is 1029507840
Bases of 480504960
- Binary: 111001010001111101100100000002
- Hexadecimal: 0x1CA3EC80
- Base-36: 7Y2W00
Squares and roots of 480504960
- 480504960 squared (4805049602) is 230885016584601600
- 480504960 cubed (4805049603) is 110941395658583328423936000
-
The
square root of 480504960 is 21920.4233535759 -
The
cube root of 480504960 is 783.2479947273
Scales and comparisons
How big is 480504960?- 480,504,960 seconds is equal to 15 years, 14 weeks, 3 days, 9 hours, 36 minutes.
-
To count from 1 to 480,504,960 would take you about twenty-two 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 480504960 cubic inches would be around 65.3 feet tall.
Recreational maths with 480504960
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