398944084
398,944,084 is an even composite number composed of six prime numbers multiplied together.
398944084 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 398944084:
22 × 72 × 11 × 31 × 47 × 127
(2 × 2 × 7 × 7 × 11 × 31 × 47 × 127)See below for interesting mathematical facts about the number 398944084 from the Numbermatics database.
Names of 398944084
- Cardinal: 398944084 can be written as Three hundred ninety-eight million, nine hundred forty-four thousand and eighty-four.
Scientific notation
- Scientific notation: 3.98944084 × 108
Factors of 398944084
Divisors of 398944084
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 7 11 14 22 28 31 44 47 49 62 77 94 98 124 127 154 188 196 217 254 308 329 341 434 508 517 539 658 682 868 889 1034 1078 1316 1364 1397 1457 1519 1778 2068 2156 2303 2387 2794 2914 3038 3556 3619 3937 4606 4774 5588 5828 5969 6076 6223 7238 7874 9212 9548 9779 10199 11938 12446 14476 15748 16027 16709 19558 20398 23876 24892 25333 27559 32054 33418 39116 40796 41783 43307 50666 55118 64108 65659 66836 68453 71393 83566 86614 101332 110236 112189 131318 136906 142786 167132 173228 185039 192913 224378 262636 273812 285572 292481 303149 370078 385826 448756 459613 584962 606298 740156 771652 785323 919226 1169924 1212596 1295273 1570646 1838452 2035429 2122043 2590546 3141292 3217291 4070858 4244086 5181092 6434582 8141716 8488172 9066911 12869164 14248003 18133822 28496006 36267644 56992012 99736021 199472042 398944084
- Sum of all divisors σ(n): 941359104
- Sum of proper divisors (its aliquot sum) s(n): 542415020
- 398944084 is an abundant number, because the sum of its proper divisors (542415020) is greater than itself. Its abundance is 143470936
Bases of 398944084
- Binary: 101111100011101100111010101002
- Hexadecimal: 0x17C76754
- Base-36: 6LIR84
Squares and roots of 398944084
- 398944084 squared (3989440842) is 159156382158599056
- 398944084 cubed (3989440843) is 63494497093016243119184704
-
The
square root of 398944084 is 19973.5846557397 -
The
cube root of 398944084 is 736.1573904307
Scales and comparisons
How big is 398944084?- 398,944,084 seconds is equal to 12 years, 35 weeks, 4 days, 9 hours, 48 minutes, 4 seconds.
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To count from 1 to 398,944,084 would take you about nineteen 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 398944084 cubic inches would be around 61.3 feet tall.
Recreational maths with 398944084
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