148224960
148,224,960 is an even composite number composed of six prime numbers multiplied together.
148224960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 148224960:
26 × 32 × 5 × 13 × 37 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 37 × 107)See below for interesting mathematical facts about the number 148224960 from the Numbermatics database.
Names of 148224960
- Cardinal: 148224960 can be written as One hundred forty-eight million, two hundred twenty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.4822496 × 108
Factors of 148224960
Divisors of 148224960
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 37 39 40 45 48 52 60 64 65 72 74 78 80 90 96 104 107 111 117 120 130 144 148 156 160 180 185 192 195 208 214 222 234 240 260 288 296 312 320 321 333 360 370 390 416 428 444 468 480 481 520 535 555 576 585 592 624 642 666 720 740 780 832 856 888 936 960 962 963 1040 1070 1110 1170 1184 1248 1284 1332 1391 1440 1443 1480 1560 1605 1665 1712 1776 1872 1924 1926 2080 2140 2220 2340 2368 2405 2496 2568 2664 2782 2880 2886 2960 3120 3210 3330 3424 3552 3744 3848 3852 3959 4160 4173 4280 4329 4440 4680 4810 4815 5136 5328 5564 5772 5920 6240 6420 6660 6848 6955 7104 7215 7488 7696 7704 7918 8346 8560 8658 8880 9360 9620 9630 10272 10656 11128 11544 11840 11877 12480 12519 12840 13320 13910 14430 15392 15408 15836 16692 17120 17316 17760 18720 19240 19260 19795 20544 20865 21312 21645 22256 23088 23754 25038 25680 26640 27820 28860 30784 30816 31672 33384 34240 34632 35520 35631 37440 38480 38520 39590 41730 43290 44512 46176 47508 50076 51360 51467 53280 55640 57720 59385 61632 62595 63344 66768 69264 71262 76960 77040 79180 83460 86580 89024 92352 95016 100152 102720 102934 106560 111280 115440 118770 125190 126688 133536 138528 142524 153920 154080 154401 158360 166920 173160 178155 190032 200304 205868 222560 230880 237540 250380 253376 257335 267072 277056 285048 308160 308802 316720 333840 346320 356310 380064 400608 411736 445120 461760 463203 475080 500760 514670 570096 617604 633440 667680 692640 712620 760128 772005 801216 823472 926406 950160 1001520 1029340 1140192 1235208 1266880 1335360 1385280 1425240 1544010 1646944 1852812 1900320 2003040 2058680 2280384 2316015 2470416 2850480 3088020 3293888 3705624 3800640 4006080 4117360 4632030 4940832 5700960 6176040 7411248 8234720 9264060 9881664 11401920 12352080 14822496 16469440 18528120 24704160 29644992 37056240 49408320 74112480 148224960
- Sum of all divisors σ(n): 569159136
- Sum of proper divisors (its aliquot sum) s(n): 420934176
- 148224960 is an abundant number, because the sum of its proper divisors (420934176) is greater than itself. Its abundance is 272709216
Bases of 148224960
- Binary: 10001101010110111011110000002
- Hexadecimal: 0x8D5BBC0
- Base-36: 2G8Z40
Squares and roots of 148224960
- 148224960 squared (1482249602) is 21970638767001600
- 148224960 cubed (1482249603) is 3256597052413261479936000
-
The
square root of 148224960 is 12174.7673489065 -
The
cube root of 148224960 is 529.2251166001
Scales and comparisons
How big is 148224960?- 148,224,960 seconds is equal to 4 years, 37 weeks, 13 hours, 36 minutes.
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To count from 1 to 148,224,960 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 148224960 cubic inches would be around 44.1 feet tall.
Recreational maths with 148224960
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The information we have on file for 148224960 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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