997987680
997,987,680 is an even composite number composed of five prime numbers multiplied together.
997987680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 997987680:
25 × 32 × 5 × 37 × 18731
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 37 × 18731)See below for interesting mathematical facts about the number 997987680 from the Numbermatics database.
Names of 997987680
- Cardinal: 997987680 can be written as Nine hundred ninety-seven million, nine hundred eighty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 9.9798768 × 108
Factors of 997987680
Divisors of 997987680
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1184 1332 1440 1480 1665 1776 2220 2664 2960 3330 3552 4440 5328 5920 6660 8880 10656 13320 17760 18731 26640 37462 53280 56193 74924 93655 112386 149848 168579 187310 224772 280965 299696 337158 374620 449544 561930 599392 674316 693047 749240 842895 899088 1123860 1348632 1386094 1498480 1685790 1798176 2079141 2247720 2697264 2772188 2996960 3371580 3465235 4158282 4495440 5394528 5544376 6237423 6743160 6930470 8316564 8990880 10395705 11088752 12474846 13486320 13860940 16633128 20791410 22177504 24949692 26972640 27721880 31187115 33266256 41582820 49899384 55443760 62374230 66532512 83165640 99798768 110887520 124748460 166331280 199597536 249496920 332662560 498993840 997987680
- Sum of all divisors σ(n): 3497863824
- Sum of proper divisors (its aliquot sum) s(n): 2499876144
- 997987680 is an abundant number, because the sum of its proper divisors (2499876144) is greater than itself. Its abundance is 1501888464
Bases of 997987680
- Binary: 1110110111110000010101011000002
- Hexadecimal: 0x3B7C1560
- Base-36: GI6C80
Squares and roots of 997987680
- 997987680 squared (9979876802) is 995979409431782400
- 997987680 cubed (9979876803) is 993975180146594635640832000
-
The
square root of 997987680 is 31590.9430058679 -
The
cube root of 997987680 is 999.3287762261
Scales and comparisons
How big is 997987680?- 997,987,680 seconds is equal to 31 years, 38 weeks, 18 hours, 48 minutes.
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To count from 1 to 997,987,680 would take you about forty-seven 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 997987680 cubic inches would be around 83.3 feet tall.
Recreational maths with 997987680
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