480405120
480,405,120 is an even composite number composed of six prime numbers multiplied together.
480405120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 480405120:
27 × 3 × 5 × 13 × 19 × 1013
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 19 × 1013)See below for interesting mathematical facts about the number 480405120 from the Numbermatics database.
Names of 480405120
- Cardinal: 480405120 can be written as Four hundred eighty million, four hundred five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.8040512 × 108
Factors of 480405120
Divisors of 480405120
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 32 38 39 40 48 52 57 60 64 65 76 78 80 95 96 104 114 120 128 130 152 156 160 190 192 195 208 228 240 247 260 285 304 312 320 380 384 390 416 456 480 494 520 570 608 624 640 741 760 780 832 912 960 988 1013 1040 1140 1216 1235 1248 1482 1520 1560 1664 1824 1920 1976 2026 2080 2280 2432 2470 2496 2964 3039 3040 3120 3648 3705 3952 4052 4160 4560 4940 4992 5065 5928 6078 6080 6240 7296 7410 7904 8104 8320 9120 9880 10130 11856 12156 12160 12480 13169 14820 15195 15808 16208 18240 19247 19760 20260 23712 24312 24960 26338 29640 30390 31616 32416 36480 38494 39507 39520 40520 47424 48624 52676 57741 59280 60780 64832 65845 76988 79014 79040 81040 94848 96235 97248 105352 115482 118560 121560 129664 131690 153976 158028 158080 162080 192470 194496 197535 210704 230964 237120 243120 250211 263380 288705 307952 316056 324160 384940 388992 395070 421408 461928 474240 486240 500422 526760 577410 615904 632112 648320 750633 769880 790140 842816 923856 972480 1000844 1053520 1154820 1231808 1251055 1264224 1501266 1539760 1580280 1685632 1847712 1944960 2001688 2107040 2309640 2463616 2502110 2528448 3002532 3079520 3160560 3695424 3753165 4003376 4214080 4619280 5004220 5056896 6005064 6159040 6321120 7390848 7506330 8006752 8428160 9238560 10008440 12010128 12318080 12642240 15012660 16013504 18477120 20016880 24020256 25284480 30025320 32027008 36954240 40033760 48040512 60050640 80067520 96081024 120101280 160135040 240202560 480405120
- Sum of all divisors σ(n): 1737590400
- Sum of proper divisors (its aliquot sum) s(n): 1257185280
- 480405120 is an abundant number, because the sum of its proper divisors (1257185280) is greater than itself. Its abundance is 776780160
Bases of 480405120
- Binary: 111001010001001100110100000002
- Hexadecimal: 0x1CA26680
- Base-36: 7Y0QYO
Squares and roots of 480405120
- 480405120 squared (4804051202) is 230789079322214400
- 480405120 cubed (4804051203) is 110872255346477927497728000
-
The
square root of 480405120 is 21918.1459069877 -
The
cube root of 480405120 is 783.1937428443
Scales and comparisons
How big is 480405120?- 480,405,120 seconds is equal to 15 years, 14 weeks, 2 days, 5 hours, 52 minutes.
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To count from 1 to 480,405,120 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 480405120 cubic inches would be around 65.3 feet tall.
Recreational maths with 480405120
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Numbermatics. (2024). Number 480405120 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/480405120/
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