148091328
148,091,328 is an even composite number composed of five prime numbers multiplied together.
148091328 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 148091328:
26 × 34 × 72 × 11 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 53)See below for interesting mathematical facts about the number 148091328 from the Numbermatics database.
Names of 148091328
- Cardinal: 148091328 can be written as One hundred forty-eight million, ninety-one thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.48091328 × 108
Factors of 148091328
Divisors of 148091328
- Number of divisors d(n): 420
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 53 54 56 63 64 66 72 77 81 84 88 96 98 99 106 108 112 126 132 144 147 154 159 162 168 176 189 192 196 198 212 216 224 231 252 264 288 294 297 308 318 324 336 352 371 378 392 396 424 432 441 448 462 477 504 528 539 567 576 583 588 594 616 636 648 672 693 704 742 756 784 792 848 864 882 891 924 954 1008 1056 1078 1113 1134 1166 1176 1188 1232 1272 1296 1323 1344 1386 1431 1484 1512 1568 1584 1617 1696 1728 1749 1764 1782 1848 1908 2016 2079 2112 2156 2226 2268 2332 2352 2376 2464 2544 2592 2597 2646 2772 2862 2968 3024 3136 3168 3234 3339 3392 3498 3528 3564 3696 3816 3969 4032 4081 4158 4293 4312 4452 4536 4664 4704 4752 4851 4928 5088 5184 5194 5247 5292 5544 5724 5936 6048 6237 6336 6468 6678 6996 7056 7128 7392 7632 7791 7938 8162 8316 8586 8624 8904 9072 9328 9408 9504 9702 10017 10176 10388 10494 10584 11088 11448 11872 12096 12243 12474 12936 13356 13992 14112 14256 14553 14784 15264 15582 15741 15876 16324 16632 17172 17248 17808 18144 18656 19008 19404 20034 20776 20988 21168 22176 22896 23373 23744 24486 24948 25872 26712 27984 28224 28512 28567 29106 30051 30528 31164 31482 31752 32648 33264 34344 34496 35616 36288 36729 37312 38808 40068 41552 41976 42336 43659 44352 45792 46746 47223 48972 49896 51744 53424 55968 57024 57134 58212 60102 62328 62964 63504 65296 66528 68688 70119 71232 73458 77616 80136 83104 83952 84672 85701 87318 91584 93492 94446 97944 99792 103488 106848 110187 111936 114268 116424 120204 124656 125928 127008 130592 133056 137376 140238 146916 155232 160272 166208 167904 171402 174636 186984 188892 195888 199584 210357 213696 220374 228536 232848 240408 249312 251856 254016 257103 261184 274752 280476 293832 310464 320544 330561 335808 342804 349272 373968 377784 391776 399168 420714 440748 457072 465696 480816 498624 503712 514206 560952 587664 641088 661122 685608 698544 747936 755568 771309 783552 841428 881496 914144 931392 961632 1007424 1028412 1121904 1175328 1322244 1371216 1397088 1495872 1511136 1542618 1682856 1762992 1828288 1923264 2056824 2243808 2313927 2350656 2644488 2742432 2794176 3022272 3085236 3365712 3525984 4113648 4487616 4627854 5288976 5484864 6170472 6731424 7051968 8227296 9255708 10577952 12340944 13462848 16454592 18511416 21155904 24681888 37022832 49363776 74045664 148091328
- Sum of all divisors σ(n): 567595512
- Sum of proper divisors (its aliquot sum) s(n): 419504184
- 148091328 is an abundant number, because the sum of its proper divisors (419504184) is greater than itself. Its abundance is 271412856
Bases of 148091328
- Binary: 10001101001110110001110000002
- Hexadecimal: 0x8D3B1C0
- Base-36: 2G6400
Squares and roots of 148091328
- 148091328 squared (1480913282) is 21931041428803584
- 148091328 cubed (1480913283) is 3247797049614540205719552
-
The
square root of 148091328 is 12169.2780393909 -
The
cube root of 148091328 is 529.0660280669
Scales and comparisons
How big is 148091328?- 148,091,328 seconds is equal to 4 years, 36 weeks, 6 days, 28 minutes, 48 seconds.
-
To count from 1 to 148,091,328 would take you about 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 148091328 cubic inches would be around 44.1 feet tall.
Recreational maths with 148091328
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