993308148
993,308,148 is an even composite number composed of six prime numbers multiplied together.
993308148 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 993308148:
22 × 32 × 7 × 41 × 127 × 757
(2 × 2 × 3 × 3 × 7 × 41 × 127 × 757)See below for interesting mathematical facts about the number 993308148 from the Numbermatics database.
Names of 993308148
- Cardinal: 993308148 can be written as Nine hundred ninety-three million, three hundred eight thousand, one hundred forty-eight.
Scientific notation
- Scientific notation: 9.93308148 × 108
Factors of 993308148
Divisors of 993308148
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 127 164 246 252 254 287 369 381 492 508 574 738 757 762 861 889 1143 1148 1476 1514 1524 1722 1778 2271 2286 2583 2667 3028 3444 3556 4542 4572 5166 5207 5299 5334 6813 8001 9084 10332 10414 10598 10668 13626 15621 15897 16002 20828 21196 27252 31037 31242 31794 32004 36449 46863 47691 62074 62484 63588 72898 93111 93726 95382 96139 109347 124148 145796 186222 187452 190764 192278 217259 218694 279333 288417 328041 372444 384556 434518 437388 558666 576834 651777 656082 672973 865251 869036 1117332 1153668 1303554 1312164 1345946 1730502 1955331 2018919 2607108 2691892 3461004 3910662 3941699 4037838 6056757 7821324 7883398 8075676 11825097 12113514 15766796 23650194 24227028 27591893 35475291 47300388 55183786 70950582 82775679 110367572 141901164 165551358 248327037 331102716 496654074 993308148
- Sum of all divisors σ(n): 2966605824
- Sum of proper divisors (its aliquot sum) s(n): 1973297676
- 993308148 is an abundant number, because the sum of its proper divisors (1973297676) is greater than itself. Its abundance is 979989528
Bases of 993308148
- Binary: 1110110011010010101101111101002
- Hexadecimal: 0x3B34ADF4
- Base-36: GFE1H0
Squares and roots of 993308148
- 993308148 squared (9933081482) is 986661076883189904
- 993308148 cubed (9933081483) is 980058486982526975874537792
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The
square root of 993308148 is 31516.7915245191 -
The
cube root of 993308148 is 997.7643884321
Scales and comparisons
How big is 993308148?- 993,308,148 seconds is equal to 31 years, 30 weeks, 2 days, 14 hours, 55 minutes, 48 seconds.
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To count from 1 to 993,308,148 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 993308148 cubic inches would be around 83.1 feet tall.
Recreational maths with 993308148
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