47438193312
47,438,193,312 is an even composite number composed of six prime numbers multiplied together.
What does the number 47438193312 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
47438193312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 47438193312:
25 × 32 × 23 × 67 × 89 × 1201
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 23 × 67 × 89 × 1201)See below for interesting mathematical facts about the number 47438193312 from the Numbermatics database.
Names of 47438193312
- Cardinal: 47438193312 can be written as Forty-seven billion, four hundred thirty-eight million, one hundred ninety-three thousand, three hundred twelve.
Scientific notation
- Scientific notation: 4.7438193312 × 1010
Factors of 47438193312
Divisors of 47438193312
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 67 69 72 89 92 96 134 138 144 178 184 201 207 267 268 276 288 356 368 402 414 534 536 552 603 712 736 801 804 828 1068 1072 1104 1201 1206 1424 1541 1602 1608 1656 2047 2136 2144 2208 2402 2412 2848 3082 3204 3216 3312 3603 4094 4272 4623 4804 4824 5963 6141 6164 6408 6432 6624 7206 8188 8544 9246 9608 9648 10809 11926 12282 12328 12816 13869 14412 16376 17889 18423 18492 19216 19296 21618 23852 24564 24656 25632 27623 27738 28824 32752 35778 36846 36984 38432 43236 47704 49128 49312 53667 55246 55476 57648 65504 71556 73692 73968 80467 82869 86472 95408 98256 106889 107334 110492 110952 115296 137149 143112 147384 147936 160934 165738 172944 190816 196512 213778 214668 220984 221904 241401 248607 274298 286224 294768 320667 321868 331476 345888 411447 427556 429336 441968 443808 482802 497214 548596 572448 589536 641334 643736 662952 724203 822894 855112 858672 883936 962001 965604 994428 1097192 1234341 1282668 1287472 1325904 1448406 1645788 1710224 1717344 1850741 1924002 1931208 1988856 2194384 2458447 2468682 2565336 2574944 2651808 2896812 3291576 3420448 3701482 3848004 3862416 3977712 4388768 4916894 4937364 5130672 5552223 5793624 6583152 7161563 7375341 7402964 7696008 7724832 7955424 9833788 9874728 10261344 11104446 11587248 13166304 14323126 14750682 14805928 15392016 16656669 19667576 19749456 21484689 22126023 22208892 23174496 28646252 29501364 29611856 30784032 33313338 39335152 39498912 42969378 44252046 44417784 57292504 59002728 59223712 64454067 66626676 78670304 85938756 88504092 88835568 114585008 118005456 128908134 133253352 164715949 171877512 177008184 177671136 229170016 236010912 257816268 266506704 329431898 343755024 354016368 494147847 515632536 533013408 658863796 687510048 708032736 988295694 1031265072 1317727592 1482443541 1976591388 2062530144 2635455184 2964887082 3953182776 5270910368 5929774164 7906365552 11859548328 15812731104 23719096656 47438193312
- Sum of all divisors σ(n): 144594253440
- Sum of proper divisors (its aliquot sum) s(n): 97156060128
- 47438193312 is an abundant number, because the sum of its proper divisors (97156060128) is greater than itself. Its abundance is 49717866816
Bases of 47438193312
- Binary: 1011000010111000100101100010101000002
- Hexadecimal: 0xB0B8962A0
- Base-36: LSJH480
Squares and roots of 47438193312
- 47438193312 squared (474381933122) is 2250382184706681529344
- 47438193312 cubed (474381933123) is 106754065103996448407040472547328
-
The
square root of 47438193312 is 217803.1067547017 -
The
cube root of 47438193312 is 3620.0067486621
Scales and comparisons
How big is 47438193312?- 47,438,193,312 seconds is equal to 1,508 years, 20 weeks, 1 day, 3 hours, 55 minutes, 12 seconds.
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To count from 1 to 47,438,193,312 would take you about three thousand and sixteen 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 47438193312 cubic inches would be around 301.7 feet tall.
Recreational maths with 47438193312
- 47438193312 backwards is 21339183474
- The number of decimal digits it has is: 11
- The sum of 47438193312's digits is 45
- More coming soon!
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