319380480
319,380,480 is an even composite number composed of five prime numbers multiplied together.
319380480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 319380480:
210 × 32 × 5 × 29 × 239
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 29 × 239)See below for interesting mathematical facts about the number 319380480 from the Numbermatics database.
Names of 319380480
- Cardinal: 319380480 can be written as Three hundred nineteen million, three hundred eighty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 3.1938048 × 108
Factors of 319380480
Divisors of 319380480
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 64 72 80 87 90 96 116 120 128 144 145 160 174 180 192 232 239 240 256 261 288 290 320 348 360 384 435 464 478 480 512 522 576 580 640 696 717 720 768 870 928 956 960 1024 1044 1152 1160 1195 1280 1305 1392 1434 1440 1536 1740 1856 1912 1920 2088 2151 2304 2320 2390 2560 2610 2784 2868 2880 3072 3480 3585 3712 3824 3840 4176 4302 4608 4640 4780 5120 5220 5568 5736 5760 6931 6960 7170 7424 7648 7680 8352 8604 9216 9280 9560 10440 10755 11136 11472 11520 13862 13920 14340 14848 15296 15360 16704 17208 18560 19120 20793 20880 21510 22272 22944 23040 27724 27840 28680 29696 30592 33408 34416 34655 37120 38240 41586 41760 43020 44544 45888 46080 55448 55680 57360 61184 62379 66816 68832 69310 74240 76480 83172 83520 86040 89088 91776 103965 110896 111360 114720 122368 124758 133632 137664 138620 148480 152960 166344 167040 172080 183552 207930 221792 222720 229440 244736 249516 267264 275328 277240 305920 311895 332688 334080 344160 367104 415860 443584 445440 458880 499032 550656 554480 611840 623790 665376 668160 688320 734208 831720 887168 917760 998064 1101312 1108960 1223680 1247580 1330752 1336320 1376640 1663440 1774336 1835520 1996128 2202624 2217920 2495160 2661504 2753280 3326880 3548672 3671040 3992256 4435840 4990320 5323008 5506560 6653760 7097344 7984512 8871680 9980640 10646016 11013120 13307520 15969024 17743360 19961280 21292032 26615040 31938048 35486720 39922560 53230080 63876096 79845120 106460160 159690240 319380480
- Sum of all divisors σ(n): 1149595200
- Sum of proper divisors (its aliquot sum) s(n): 830214720
- 319380480 is an abundant number, because the sum of its proper divisors (830214720) is greater than itself. Its abundance is 510834240
Bases of 319380480
- Binary: 100110000100101011100000000002
- Hexadecimal: 0x13095C00
- Base-36: 5A5FK0
Squares and roots of 319380480
- 319380480 squared (3193804802) is 102003891005030400
- 319380480 cubed (3193804803) is 32578051671054291566592000
-
The
square root of 319380480 is 17871.2193204605 -
The
cube root of 319380480 is 683.5486917215
Scales and comparisons
How big is 319380480?- 319,380,480 seconds is equal to 10 years, 8 weeks, 12 hours, 48 minutes.
-
To count from 1 to 319,380,480 would take you about fifteen 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 319380480 cubic inches would be around 57 feet tall.
Recreational maths with 319380480
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