47638971393948
47,638,971,393,948 is an even composite number composed of seven prime numbers multiplied together.
What does the number 47638971393948 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
47638971393948 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 47638971393948:
22 × 34 × 113 × 19 × 31 × 372 × 137
(2 × 2 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 19 × 31 × 37 × 37 × 137)See below for interesting mathematical facts about the number 47638971393948 from the Numbermatics database.
Names of 47638971393948
- Cardinal: 47638971393948 can be written as Forty-seven trillion, six hundred thirty-eight billion, nine hundred seventy-one million, three hundred ninety-three thousand, nine hundred forty-eight.
Scientific notation
- Scientific notation: 4.7638971393948 × 1013
Factors of 47638971393948
Divisors of 47638971393948
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 9 11 12 18 19 22 27 31 33 36 37 38 44 54 57 62 66 74 76 81 93 99 108 111 114 121 124 132 137 148 162 171 186 198 209 222 228 242 274 279 297 324 333 341 342 363 372 396 407 411 418 444 484 513 548 558 589 594 627 666 682 684 703 726 814 822 836 837 891 999 1023 1026 1089 1116 1147 1178 1188 1221 1233 1254 1331 1332 1364 1369 1406 1452 1507 1539 1628 1644 1674 1767 1782 1881 1998 2046 2052 2109 2178 2294 2299 2356 2442 2466 2508 2511 2603 2662 2738 2812 2997 3014 3069 3078 3267 3348 3441 3534 3564 3663 3699 3751 3762 3993 3996 4092 4107 4218 4247 4356 4477 4521 4588 4598 4884 4932 5022 5069 5206 5301 5324 5476 5643 5994 6028 6138 6156 6327 6479 6534 6882 6897 7068 7326 7398 7502 7524 7733 7809 7986 8214 8436 8494 8954 9042 9196 9207 9801 10044 10138 10323 10412 10602 10989 11097 11253 11286 11979 11988 12276 12321 12617 12654 12741 12958 13068 13431 13563 13764 13794 14652 14796 15004 15059 15207 15466 15618 15903 15972 16428 16577 16929 16988 17908 18084 18414 18981 19437 19602 20276 20646 20691 21204 21793 21978 22194 22506 22572 23199 23427 23958 24642 25234 25289 25308 25482 25916 26011 26862 27126 27588 27621 28633 30118 30414 30932 30969 31236 31806 32967 33154 33759 33858 35937 36828 36963 37851 37962 38223 38874 39204 40293 40689 41261 41292 41382 42439 43586 43956 44388 45012 45177 45621 46398 46717 46854 47709 47916 49247 49284 49731 50468 50578 50964 52022 53724 54252 55242 55759 56943 57266 58311 60236 60828 61938 62073 63612 65379 65934 66308 67518 67716 69597 70281 71269 71874 73926 75702 75867 75924 76446 77748 78033 80586 80693 81378 82522 82764 84878 85063 85899 87172 90354 91242 92796 92907 93434 93708 95418 96311 98494 99462 101156 101277 104044 107811 110484 110889 111518 113553 113886 114532 114669 116622 120879 122067 123783 123876 124146 127317 130758 131868 135036 135531 136863 138787 139194 140151 140562 142538 143748 147741 147852 149193 151404 151734 152892 156066 157139 161172 161386 162756 165044 165649 167277 169756 170126 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23819485696974 47638971393948
- Sum of all divisors σ(n): 154091131729920
- Sum of proper divisors (its aliquot sum) s(n): 106452160335972
- 47638971393948 is an abundant number, because the sum of its proper divisors (106452160335972) is greater than itself. Its abundance is 58813188942024
Bases of 47638971393948
- Binary: 10101101010011110011111111011110100111100111002
- Hexadecimal: 0x2B53CFF7A79C
- Base-36: GVX1HKDR0
Squares and roots of 47638971393948
- 47638971393948 squared (476389713939482) is 2269471595473395850211026704
- 47638971393948 cubed (476389713939483) is 108115292416134632273276793431015131987392
-
The
square root of 47638971393948 is 6902099.0570947329 -
The
cube root of 47638971393948 is 36251.0668303259
Scales and comparisons
How big is 47638971393948?- 47,638,971,393,948 seconds is equal to 1,514,771 years, 48 weeks, 3 days, 17 hours, 25 minutes, 48 seconds.
-
To count from 1 to 47,638,971,393,948 would take you about three million, seven hundred eighty-six thousand, nine hundred twenty-nine 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 47638971393948 cubic inches would be around 3020.9 feet tall.
Recreational maths with 47638971393948
- 47638971393948 backwards is 84939317983674
- 47638971393948 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 47638971393948's digits is 81
- More coming soon!
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"Number 47638971393948 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 47638971393948 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/47638971393948/
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The information we have on file for 47638971393948 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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