148221216
148,221,216 is an even composite number composed of six prime numbers multiplied together.
148221216 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 148221216:
25 × 32 × 11 × 13 × 59 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 59 × 61)See below for interesting mathematical facts about the number 148221216 from the Numbermatics database.
Names of 148221216
- Cardinal: 148221216 can be written as One hundred forty-eight million, two hundred twenty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.48221216 × 108
Factors of 148221216
Divisors of 148221216
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 59 61 66 72 78 88 96 99 104 117 118 122 132 143 144 156 176 177 183 198 208 234 236 244 264 286 288 312 352 354 366 396 416 429 468 472 488 528 531 549 572 624 649 671 708 732 767 792 793 858 936 944 976 1056 1062 1098 1144 1248 1287 1298 1342 1416 1464 1534 1584 1586 1716 1872 1888 1947 1952 2013 2124 2196 2288 2301 2379 2574 2596 2684 2832 2928 3068 3168 3172 3432 3599 3744 3894 4026 4248 4392 4576 4602 4758 5148 5192 5368 5664 5841 5856 6039 6136 6344 6864 6903 7137 7198 7788 8052 8437 8496 8723 8784 9204 9516 10296 10384 10736 10797 11682 12078 12272 12688 13728 13806 14274 14396 15576 16104 16874 16992 17446 17568 18408 19032 20592 20768 21472 21594 23364 24156 24544 25311 25376 26169 27612 28548 28792 31152 32208 32391 33748 34892 36816 38064 39589 41184 43188 46728 46787 48312 50622 52338 55224 57096 57584 62304 64416 64782 67496 69784 73632 75933 76128 78507 79178 86376 93456 93574 96624 101244 104676 110448 114192 115168 118767 129564 134992 139568 140361 151866 157014 158356 172752 186912 187148 193248 202488 209352 220896 228384 237534 259128 269984 279136 280722 303732 314028 316712 345504 356301 374296 404976 418704 421083 475068 514657 518256 561444 607464 628056 633424 712602 748592 809952 837408 842166 950136 1029314 1036512 1122888 1214928 1256112 1266848 1425204 1497184 1543971 1684332 1900272 2058628 2245776 2429856 2512224 2850408 3087942 3368664 3800544 4117256 4491552 4631913 5700816 6175884 6737328 8234512 9263826 11401632 12351768 13474656 16469024 18527652 24703536 37055304 49407072 74110608 148221216
- Sum of all divisors σ(n): 511842240
- Sum of proper divisors (its aliquot sum) s(n): 363621024
- 148221216 is an abundant number, because the sum of its proper divisors (363621024) is greater than itself. Its abundance is 215399808
Bases of 148221216
- Binary: 10001101010110101101001000002
- Hexadecimal: 0x8D5AD20
- Base-36: 2G8W80
Squares and roots of 148221216
- 148221216 squared (1482212162) is 21969528872518656
- 148221216 cubed (1482212163) is 3256350284431824175005696
-
The
square root of 148221216 is 12174.6135872971 -
The
cube root of 148221216 is 529.2206606805
Scales and comparisons
How big is 148221216?- 148,221,216 seconds is equal to 4 years, 37 weeks, 12 hours, 33 minutes, 36 seconds.
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To count from 1 to 148,221,216 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 148221216 cubic inches would be around 44.1 feet tall.
Recreational maths with 148221216
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