148009680
148,009,680 is an even composite number composed of six prime numbers multiplied together.
148009680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 148009680:
24 × 34 × 5 × 7 × 13 × 251
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 251)See below for interesting mathematical facts about the number 148009680 from the Numbermatics database.
Names of 148009680
- Cardinal: 148009680 can be written as One hundred forty-eight million, nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.4800968 × 108
Factors of 148009680
Divisors of 148009680
- Number of divisors d(n): 400
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 35 36 39 40 42 45 48 52 54 56 60 63 65 70 72 78 80 81 84 90 91 104 105 108 112 117 120 126 130 135 140 144 156 162 168 180 182 189 195 208 210 216 234 240 251 252 260 270 273 280 312 315 324 336 351 360 364 378 390 405 420 432 455 468 502 504 520 540 546 560 567 585 624 630 648 702 720 728 753 756 780 810 819 840 910 936 945 1004 1008 1040 1053 1080 1092 1134 1170 1255 1260 1296 1365 1404 1456 1506 1512 1560 1620 1638 1680 1755 1757 1820 1872 1890 2008 2106 2160 2184 2259 2268 2340 2457 2510 2520 2730 2808 2835 3012 3024 3120 3240 3263 3276 3510 3514 3640 3765 3780 4016 4095 4212 4368 4518 4536 4680 4914 5020 5040 5265 5271 5460 5616 5670 6024 6480 6526 6552 6777 7020 7028 7280 7371 7530 7560 8190 8424 8785 9036 9072 9360 9789 9828 10040 10530 10542 10920 11295 11340 12048 12285 13052 13104 13554 14040 14056 14742 15060 15120 15813 16315 16380 16848 17570 18072 19578 19656 20080 20331 21060 21084 21840 22590 22680 22841 24570 26104 26355 27108 28080 28112 29367 29484 30120 31626 32630 32760 33885 35140 36144 36855 39156 39312 40662 42120 42168 45180 45360 45682 47439 48945 49140 52208 52710 54216 58734 58968 60240 63252 65260 65520 67770 68523 70280 73710 78312 79065 81324 84240 84336 88101 90360 91364 94878 97890 98280 101655 105420 108432 114205 117468 117936 126504 130520 135540 137046 140560 142317 146835 147420 156624 158130 162648 176202 180720 182728 189756 195780 196560 203310 205569 210840 228410 234936 237195 253008 261040 264303 271080 274092 284634 293670 294840 316260 325296 342615 352404 365456 379512 391560 406620 411138 421680 440505 456820 469872 474390 528606 542160 548184 569268 587340 589680 616707 632520 685230 704808 711585 759024 783120 813240 822276 881010 913640 948780 1027845 1057212 1096368 1138536 1174680 1233414 1265040 1321515 1370460 1409616 1423170 1626480 1644552 1762020 1827280 1850121 1897560 2055690 2114424 2277072 2349360 2466828 2643030 2740920 2846340 3083535 3289104 3524040 3700242 3795120 4111380 4228848 4933656 5286060 5481840 5692680 6167070 7048080 7400484 8222760 9250605 9867312 10572120 11385360 12334140 14800968 16445520 18501210 21144240 24668280 29601936 37002420 49336560 74004840 148009680
- Sum of all divisors σ(n): 635209344
- Sum of proper divisors (its aliquot sum) s(n): 487199664
- 148009680 is an abundant number, because the sum of its proper divisors (487199664) is greater than itself. Its abundance is 339189984
Bases of 148009680
- Binary: 10001101001001110010110100002
- Hexadecimal: 0x8D272D0
- Base-36: 2G4D00
Squares and roots of 148009680
- 148009680 squared (1480096802) is 21906865373702400
- 148009680 cubed (1480096803) is 3242428133764772639232000
-
The
square root of 148009680 is 12165.9228996407 -
The
cube root of 148009680 is 528.9687792391
Scales and comparisons
How big is 148009680?- 148,009,680 seconds is equal to 4 years, 36 weeks, 5 days, 1 hour, 48 minutes.
-
To count from 1 to 148,009,680 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 148009680 cubic inches would be around 44.1 feet tall.
Recreational maths with 148009680
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