47138819728
47,138,819,728 is an even composite number composed of seven prime numbers multiplied together.
47138819728 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 47138819728:
24 × 7 × 11 × 13 × 192 × 31 × 263
(2 × 2 × 2 × 2 × 7 × 11 × 13 × 19 × 19 × 31 × 263)See below for interesting mathematical facts about the number 47138819728 from the Numbermatics database.
Names of 47138819728
- Cardinal: 47138819728 can be written as Forty-seven billion, one hundred thirty-eight million, eight hundred nineteen thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.7138819728 × 1010
Factors of 47138819728
Divisors of 47138819728
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 19 22 26 28 31 38 44 52 56 62 76 77 88 91 104 112 124 133 143 152 154 176 182 208 209 217 247 248 263 266 286 304 308 341 361 364 403 418 434 494 496 526 532 572 589 616 682 722 728 806 836 868 988 1001 1052 1064 1144 1178 1232 1364 1444 1456 1463 1612 1672 1729 1736 1841 1976 2002 2104 2128 2288 2356 2387 2527 2717 2728 2821 2888 2893 2926 3224 3344 3419 3458 3472 3682 3952 3971 4004 4123 4208 4433 4693 4712 4774 4997 5054 5434 5456 5642 5776 5786 5852 6448 6479 6838 6916 7364 7657 7942 8008 8153 8246 8866 9386 9424 9548 9994 10108 10868 11191 11284 11572 11704 12958 13676 13832 14728 15314 15884 16016 16306 16492 17732 18772 19019 19096 19988 20216 20251 21736 22382 22568 23144 23408 23933 25916 27352 27664 27797 29456 30628 31031 31768 32612 32851 32984 34979 35464 37544 37609 38038 38192 39976 40432 40502 43472 44764 45136 45353 46288 47866 51623 51832 53599 54704 54967 55594 57071 61256 62062 63536 64961 65224 65702 65968 69958 70928 75088 75218 76076 78337 79952 81004 84227 89528 89683 90706 94943 95732 103246 103664 105989 107198 109934 111188 114142 122512 123101 124124 129922 130448 131404 139916 145483 150436 152152 154907 156674 162008 168454 179056 179366 181412 189886 191464 206492 211978 214396 219868 222376 228284 246202 248248 259844 262808 263263 279832 290966 300872 304304 309814 313348 324016 336908 358732 361361 362824 379772 382928 384769 412984 423956 428792 439736 444752 454727 456568 492404 496496 519688 525616 526526 559664 581932 589589 601744 619628 626696 627781 664601 673816 714571 717464 722722 725648 741923 759544 769538 825968 847912 857584 861707 879472 909454 913136 984808 1018381 1039376 1044373 1053052 1084349 1163864 1165879 1179178 1234259 1239256 1253392 1255562 1329202 1347632 1429142 1434928 1445444 1483846 1519088 1539076 1600313 1695824 1703977 1723414 1818908 1969616 2013791 2036762 2088746 2106104 2168698 2327728 2331758 2358356 2468518 2478512 2511124 2658404 2858284 2890888 2943233 2967692 3078152 3200626 3407954 3446828 3637816 4027582 4073524 4177492 4212208 4337396 4663516 4716712 4937036 5001997 5022248 5316808 5716568 5781776 5886466 5935384 6156304 6401252 6815908 6893656 7275632 7310611 8055164 8147048 8161153 8354984 8639813 8674792 9327032 9433424 9874072 10003994 10044496 10633616 11202191 11433136 11772932 11870768 11927839 12802504 13576849 13631816 13787312 14096537 14621222 16110328 16294096 16322306 16709968 17279626 17349584 18654064 19748144 20007988 20602631 22151701 22404382 23545864 23855678 25605008 27153698 27263632 28193074 29242444 32220656 32375563 32644612 34559252 38262029 40015976 41205262 44303402 44808764 47091728 47711356 54307396 56386148 58484888 64751126 65289224 69118504 76524058 80031952 82410524 88606804 89617528 95037943 95422712 108614792 112772296 116969776 129502252 130578448 138237008 153048116 155061907 164821048 177213608 179235056 190075886 190845424 217229584 225544592 226628941 259004504 267834203 306096232 310123814 329642096 354427216 380151772 420882319 453257882 518009008 535668406 612192464 620247628 760303544 841764638 906515764 1071336812 1240495256 1520607088 1683529276 1813031528 2142673624 2480990512 2946176233 3367058552 3626063056 4285347248 5892352466 6734117104 11784704932 23569409864 47138819728
- Sum of all divisors σ(n): 134103416832
- Sum of proper divisors (its aliquot sum) s(n): 86964597104
- 47138819728 is an abundant number, because the sum of its proper divisors (86964597104) is greater than itself. Its abundance is 39825777376
Bases of 47138819728
- Binary: 1010111110011011000101001110100100002
- Hexadecimal: 0xAF9B14E90
- Base-36: LNL8I34
Squares and roots of 47138819728
- 47138819728 squared (471388197282) is 2222068325348881993984
- 47138819728 cubed (471388197283) is 104745678211919801020756956516352
-
The
square root of 47138819728 is 217114.7616538313 -
The
cube root of 47138819728 is 3612.3756108685
Scales and comparisons
How big is 47138819728?- 47,138,819,728 seconds is equal to 1,498 years, 45 weeks, 1 day, 4 hours, 35 minutes, 28 seconds.
-
To count from 1 to 47,138,819,728 would take you about two thousand, nine hundred ninety-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 47138819728 cubic inches would be around 301 feet tall.
Recreational maths with 47138819728
- 47138819728 backwards is 82791883174
- The number of decimal digits it has is: 11
- The sum of 47138819728's digits is 58
- More coming soon!
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