993328920
993,328,920 is an even composite number composed of five prime numbers multiplied together.
What does the number 993328920 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 160 divisors.
993328920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 993328920:
23 × 34 × 5 × 211 × 1453
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 211 × 1453)See below for interesting mathematical facts about the number 993328920 from the Numbermatics database.
Names of 993328920
- Cardinal: 993328920 can be written as Nine hundred ninety-three million, three hundred twenty-eight thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.9332892 × 108
Factors of 993328920
Divisors of 993328920
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 211 216 270 324 360 405 422 540 633 648 810 844 1055 1080 1266 1453 1620 1688 1899 2110 2532 2906 3165 3240 3798 4220 4359 5064 5697 5812 6330 7265 7596 8440 8718 9495 11394 11624 12660 13077 14530 15192 17091 17436 18990 21795 22788 25320 26154 28485 29060 34182 34872 37980 39231 43590 45576 52308 56970 58120 65385 68364 75960 78462 85455 87180 104616 113940 117693 130770 136728 156924 170910 174360 196155 227880 235386 261540 306583 313848 341820 392310 470772 523080 588465 613166 683640 784620 919749 941544 1176930 1226332 1532915 1569240 1839498 2353860 2452664 2759247 3065830 3678996 4598745 4707720 5518494 6131660 7357992 8277741 9197490 11036988 12263320 13796235 16555482 18394980 22073976 24833223 27592470 33110964 36789960 41388705 49666446 55184940 66221928 82777410 99332892 110369880 124166115 165554820 198665784 248332230 331109640 496664460 993328920
- Sum of all divisors σ(n): 3356820720
- Sum of proper divisors (its aliquot sum) s(n): 2363491800
- 993328920 is an abundant number, because the sum of its proper divisors (2363491800) is greater than itself. Its abundance is 1370162880
Bases of 993328920
- Binary: 1110110011010011111111000110002
- Hexadecimal: 0x3B34FF18
- Base-36: GFEHI0
Squares and roots of 993328920
- 993328920 squared (9933289202) is 986702343308366400
- 993328920 cubed (9933289203) is 980119973039968823076288000
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The
square root of 993328920 is 31517.1210614167 -
The
cube root of 993328920 is 997.7713434465
Scales and comparisons
How big is 993328920?- 993,328,920 seconds is equal to 31 years, 30 weeks, 2 days, 20 hours, 42 minutes.
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To count from 1 to 993,328,920 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 993328920 cubic inches would be around 83.1 feet tall.
Recreational maths with 993328920
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