513393120
513,393,120 is an even composite number composed of five prime numbers multiplied together.
What does the number 513393120 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 192 divisors.
513393120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 513393120:
25 × 33 × 5 × 23 × 5167
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 23 × 5167)See below for interesting mathematical facts about the number 513393120 from the Numbermatics database.
Names of 513393120
- Cardinal: 513393120 can be written as Five hundred thirteen million, three hundred ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 5.1339312 × 108
Factors of 513393120
Divisors of 513393120
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 45 46 48 54 60 69 72 80 90 92 96 108 115 120 135 138 144 160 180 184 207 216 230 240 270 276 288 345 360 368 414 432 460 480 540 552 621 690 720 736 828 864 920 1035 1080 1104 1242 1380 1440 1656 1840 2070 2160 2208 2484 2760 3105 3312 3680 4140 4320 4968 5167 5520 6210 6624 8280 9936 10334 11040 12420 15501 16560 19872 20668 24840 25835 31002 33120 41336 46503 49680 51670 62004 77505 82672 93006 99360 103340 118841 124008 139509 155010 165344 186012 206680 232515 237682 248016 279018 310020 356523 372024 413360 465030 475364 496032 558036 594205 620040 697545 713046 744048 826720 930060 950728 1069569 1116072 1188410 1240080 1395090 1426092 1488096 1782615 1860120 1901456 2139138 2232144 2376820 2480160 2790180 2852184 3208707 3565230 3720240 3802912 4278276 4464288 4753640 5347845 5580360 5704368 6417414 7130460 7440480 8556552 9507280 10695690 11160720 11408736 12834828 14260920 16043535 17113104 19014560 21391380 22321440 25669656 28521840 32087070 34226208 42782760 51339312 57043680 64174140 85565520 102678624 128348280 171131040 256696560 513393120
- Sum of all divisors σ(n): 1875363840
- Sum of proper divisors (its aliquot sum) s(n): 1361970720
- 513393120 is an abundant number, because the sum of its proper divisors (1361970720) is greater than itself. Its abundance is 848577600
Bases of 513393120
- Binary: 111101001100111000001111000002
- Hexadecimal: 0x1E99C1E0
- Base-36: 8HNSO0
Squares and roots of 513393120
- 513393120 squared (5133931202) is 263572495663334400
- 513393120 cubed (5133931203) is 135316305894785717219328000
-
The
square root of 513393120 is 22658.1799798659 -
The
cube root of 513393120 is 800.7249262375
Scales and comparisons
How big is 513393120?- 513,393,120 seconds is equal to 16 years, 16 weeks, 6 days, 1 hour, 12 minutes.
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To count from 1 to 513,393,120 would take you about twenty-four 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 513393120 cubic inches would be around 66.7 feet tall.
Recreational maths with 513393120
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