38148825312
38,148,825,312 is an even composite number composed of six prime numbers multiplied together.
38148825312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 38148825312:
25 × 34 × 13 × 43 × 113 × 233
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 43 × 113 × 233)See below for interesting mathematical facts about the number 38148825312 from the Numbermatics database.
Names of 38148825312
- Cardinal: 38148825312 can be written as Thirty-eight billion, one hundred forty-eight million, eight hundred twenty-five thousand, three hundred twelve.
Scientific notation
- Scientific notation: 3.8148825312 × 1010
Factors of 38148825312
Divisors of 38148825312
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 43 48 52 54 72 78 81 86 96 104 108 113 117 129 144 156 162 172 208 216 226 233 234 258 288 312 324 339 344 351 387 416 432 452 466 468 516 559 624 648 678 688 699 702 774 864 904 932 936 1017 1032 1053 1118 1161 1248 1296 1356 1376 1398 1404 1469 1548 1677 1808 1864 1872 2034 2064 2097 2106 2236 2322 2592 2712 2796 2808 2938 3029 3051 3096 3354 3483 3616 3728 3744 4068 4128 4194 4212 4407 4472 4644 4859 5031 5424 5592 5616 5876 6058 6102 6192 6291 6708 6966 7456 8136 8388 8424 8814 8944 9087 9153 9288 9718 10019 10062 10848 11184 11232 11752 12116 12204 12384 12582 13221 13416 13932 14577 15093 16272 16776 16848 17628 17888 18174 18306 18576 18873 19436 20038 20124 22368 23504 24232 24408 25164 26329 26442 26832 27261 27864 29154 30057 30186 32544 33552 33696 35256 36348 36612 37152 37746 38872 39663 40076 40248 43731 45279 47008 48464 48816 50328 52658 52884 53664 54522 55728 58308 60114 60372 63167 67104 70512 72696 73224 75492 77744 78987 79326 80152 80496 81783 87462 90171 90558 96928 97632 100656 105316 105768 109044 111456 116616 118989 120228 120744 126334 130247 131193 141024 145392 146448 150984 155488 157974 158652 160304 160992 163566 174924 180342 181116 189501 201312 210632 211536 218088 233232 236961 237978 240456 241488 245349 252668 260494 262386 270513 290784 292896 301968 315948 317304 320608 327132 342277 349848 360684 362232 379002 390741 393579 421264 423072 436176 466464 473922 475956 480912 482976 490698 505336 520988 524772 541026 568503 603936 631896 634608 654264 684554 699696 710883 721368 724464 758004 781482 787158 811539 842528 872352 947844 951912 961824 981396 1010672 1026831 1041976 1049544 1082052 1132147 1137006 1172223 1263792 1269216 1308528 1369108 1399392 1421766 1442736 1448928 1516008 1562964 1574316 1623078 1705509 1895688 1903824 1962792 2021344 2053662 2083952 2099088 2132649 2164104 2264294 2274012 2344446 2527584 2617056 2738216 2843532 2885472 3032016 3080493 3125928 3148632 3246156 3396441 3411018 3516669 3791376 3807648 3925584 4107324 4167904 4198176 4265298 4328208 4528588 4548024 4688892 5116527 5476432 5687064 6064032 6160986 6251856 6297264 6492312 6792882 6822036 7033338 7582752 7851168 8214648 8530596 8656416 9057176 9096048 9241479 9377784 10189323 10233054 10550007 10952864 11374128 12321972 12503712 12594528 12984624 13585764 13644072 14066676 14717911 16429296 17061192 18114352 18192096 18482958 18755568 20378646 20466108 21100014 22748256 24643944 25969248 27171528 27288144 27724437 28133352 29435822 30567969 32858592 34122384 36228704 36965916 37511136 40757292 40932216 42200028 44153733 49287888 54343056 54576288 55448874 56266704 58871644 61135938 68244768 73931832 81514584 81864432 84400056 88307466 91703907 98575776 108686112 110897748 112533408 117743288 122271876 132461199 147863664 163029168 163728864 168800112 176614932 183407814 221795496 235486576 244543752 264922398 295727328 326058336 337600224 353229864 366815628 397383597 443590992 470973152 489087504 529844796 706459728 733631256 794767194 887181984 978175008 1059689592 1192150791 1412919456 1467262512 1589534388 2119379184 2384301582 2934525024 3179068776 4238758368 4768603164 6358137552 9537206328 12716275104 19074412656 38148825312
- Sum of all divisors σ(n): 125264307168
- Sum of proper divisors (its aliquot sum) s(n): 87115481856
- 38148825312 is an abundant number, because the sum of its proper divisors (87115481856) is greater than itself. Its abundance is 48966656544
Bases of 38148825312
- Binary: 1000111000011101100011100000111000002
- Hexadecimal: 0x8E1D8E0E0
- Base-36: HIWTQ00
Squares and roots of 38148825312
- 38148825312 squared (381488253122) is 1455332872685491897344
- 38148825312 cubed (381488253123) is 55519239530889966708567692771328
-
The
square root of 38148825312 is 195317.2427411365 -
The
cube root of 38148825312 is 3366.3586985599
Scales and comparisons
How big is 38148825312?- 38,148,825,312 seconds is equal to 1,213 years, 5 days, 7 hours, 55 minutes, 12 seconds.
-
To count from 1 to 38,148,825,312 would take you about two thousand, four hundred twenty-six 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 38148825312 cubic inches would be around 280.5 feet tall.
Recreational maths with 38148825312
- 38148825312 backwards is 21352884183
- The number of decimal digits it has is: 11
- The sum of 38148825312's digits is 45
- More coming soon!
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