993472920
993,472,920 is an even composite number composed of five prime numbers multiplied together.
993472920 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 993472920:
23 × 32 × 5 × 112 × 22807
(2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 22807)See below for interesting mathematical facts about the number 993472920 from the Numbermatics database.
Names of 993472920
- Cardinal: 993472920 can be written as Nine hundred ninety-three million, four hundred seventy-two thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.9347292 × 108
Factors of 993472920
Divisors of 993472920
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 22807 43560 45614 68421 91228 114035 136842 182456 205263 228070 250877 273684 342105 410526 456140 501754 547368 684210 752631 821052 912280 1003508 1026315 1254385 1368420 1505262 1642104 2007016 2052630 2257893 2508770 2736840 2759647 3010524 3763155 4105260 4515786 5017540 5519294 6021048 7526310 8210520 8278941 9031572 10035080 11038588 11289465 13798235 15052620 16557882 18063144 22077176 22578930 24836823 27596470 30105240 33115764 41394705 45157860 49673646 55192940 66231528 82789410 90315720 99347292 110385880 124184115 165578820 198694584 248368230 331157640 496736460 993472920
- Sum of all divisors σ(n): 3549152880
- Sum of proper divisors (its aliquot sum) s(n): 2555679960
- 993472920 is an abundant number, because the sum of its proper divisors (2555679960) is greater than itself. Its abundance is 1562207040
Bases of 993472920
- Binary: 1110110011011100110001100110002
- Hexadecimal: 0x3B373198
- Base-36: GFHKM0
Squares and roots of 993472920
- 993472920 squared (9934729202) is 986988442773326400
- 993472920 cubed (9934729203) is 980546290248269476721088000
-
The
square root of 993472920 is 31519.4054512457 -
The
cube root of 993472920 is 997.8195557851
Scales and comparisons
How big is 993472920?- 993,472,920 seconds is equal to 31 years, 30 weeks, 4 days, 12 hours, 42 minutes.
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To count from 1 to 993,472,920 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 993472920 cubic inches would be around 83.2 feet tall.
Recreational maths with 993472920
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