313393920
313,393,920 is an even composite number composed of six prime numbers multiplied together.
313393920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 313393920:
28 × 3 × 5 × 7 × 89 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 89 × 131)See below for interesting mathematical facts about the number 313393920 from the Numbermatics database.
Names of 313393920
- Cardinal: 313393920 can be written as Three hundred thirteen million, three hundred ninety-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.1339392 × 108
Factors of 313393920
Divisors of 313393920
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 89 96 105 112 120 128 131 140 160 168 178 192 210 224 240 256 262 267 280 320 336 356 384 393 420 445 448 480 524 534 560 623 640 655 672 712 768 786 840 890 896 917 960 1048 1068 1120 1246 1280 1310 1335 1344 1424 1572 1680 1780 1792 1834 1869 1920 1965 2096 2136 2240 2492 2620 2670 2688 2751 2848 3115 3144 3360 3560 3668 3738 3840 3930 4192 4272 4480 4585 4984 5240 5340 5376 5502 5696 6230 6288 6720 7120 7336 7476 7860 8384 8544 8960 9170 9345 9968 10480 10680 11004 11392 11659 12460 12576 13440 13755 14240 14672 14952 15720 16768 17088 18340 18690 19936 20960 21360 22008 22784 23318 24920 25152 26880 27510 28480 29344 29904 31440 33536 34176 34977 36680 37380 39872 41920 42720 44016 46636 49840 50304 55020 56960 58295 58688 59808 62880 68352 69954 73360 74760 79744 81613 83840 85440 88032 93272 99680 100608 110040 113920 116590 117376 119616 125760 139908 146720 149520 159488 163226 167680 170880 174885 176064 186544 199360 220080 233180 234752 239232 244839 251520 279816 293440 299040 326452 341760 349770 352128 373088 398720 408065 440160 466360 478464 489678 503040 559632 586880 598080 652904 699540 704256 746176 797440 816130 880320 932720 979356 1119264 1173760 1196160 1224195 1305808 1399080 1492352 1632260 1760640 1865440 1958712 2238528 2392320 2448390 2611616 2798160 2984704 3264520 3521280 3730880 3917424 4477056 4896780 5223232 5596320 6529040 7461760 7834848 8954112 9793560 10446464 11192640 13058080 14923520 15669696 19587120 20892928 22385280 26116160 31339392 39174240 44770560 52232320 62678784 78348480 104464640 156696960 313393920
- Sum of all divisors σ(n): 1165570560
- Sum of proper divisors (its aliquot sum) s(n): 852176640
- 313393920 is an abundant number, because the sum of its proper divisors (852176640) is greater than itself. Its abundance is 538782720
Bases of 313393920
- Binary: 100101010111000000011000000002
- Hexadecimal: 0x12AE0300
- Base-36: 56L4AO
Squares and roots of 313393920
- 313393920 squared (3133939202) is 98215749092966400
- 313393920 cubed (3133939203) is 30780218613981184524288000
-
The
square root of 313393920 is 17702.9353498227 -
The
cube root of 313393920 is 679.2508473987
Scales and comparisons
How big is 313393920?- 313,393,920 seconds is equal to 9 years, 50 weeks, 1 day, 5 hours, 52 minutes.
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To count from 1 to 313,393,920 would take you about fourteen 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 313393920 cubic inches would be around 56.6 feet tall.
Recreational maths with 313393920
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