146313216
146,313,216 is an even composite number composed of three prime numbers multiplied together.
146313216 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of two hundred seventy-three divisors.
Prime factorization of 146313216:
212 × 36 × 72
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7)See below for interesting mathematical facts about the number 146313216 from the Numbermatics database.
Names of 146313216
- Cardinal: 146313216 can be written as One hundred forty-six million, three hundred thirteen thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.46313216 × 108
Factors of 146313216
Divisors of 146313216
- Number of divisors d(n): 273
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 243 252 256 288 294 324 336 378 384 392 432 441 448 486 504 512 567 576 588 648 672 729 756 768 784 864 882 896 972 1008 1024 1134 1152 1176 1296 1323 1344 1458 1512 1536 1568 1701 1728 1764 1792 1944 2016 2048 2268 2304 2352 2592 2646 2688 2916 3024 3072 3136 3402 3456 3528 3584 3888 3969 4032 4096 4536 4608 4704 5103 5184 5292 5376 5832 6048 6144 6272 6804 6912 7056 7168 7776 7938 8064 9072 9216 9408 10206 10368 10584 10752 11664 11907 12096 12288 12544 13608 13824 14112 14336 15552 15876 16128 18144 18432 18816 20412 20736 21168 21504 23328 23814 24192 25088 27216 27648 28224 28672 31104 31752 32256 35721 36288 36864 37632 40824 41472 42336 43008 46656 47628 48384 50176 54432 55296 56448 62208 63504 64512 71442 72576 75264 81648 82944 84672 86016 93312 95256 96768 100352 108864 110592 112896 124416 127008 129024 142884 145152 150528 163296 165888 169344 186624 190512 193536 200704 217728 225792 248832 254016 258048 285768 290304 301056 326592 331776 338688 373248 381024 387072 435456 451584 497664 508032 571536 580608 602112 653184 677376 746496 762048 774144 870912 903168 995328 1016064 1143072 1161216 1306368 1354752 1492992 1524096 1741824 1806336 2032128 2286144 2322432 2612736 2709504 2985984 3048192 3483648 4064256 4572288 5225472 5419008 6096384 6967296 8128512 9144576 10450944 12192768 16257024 18289152 20901888 24385536 36578304 48771072 73156608 146313216
- Sum of all divisors σ(n): 510307491
- Sum of proper divisors (its aliquot sum) s(n): 363994275
- 146313216 is an abundant number, because the sum of its proper divisors (363994275) is greater than itself. Its abundance is 217681059
Bases of 146313216
- Binary: 10001011100010010000000000002
- Hexadecimal: 0x8B89000
- Base-36: 2F4000
Squares and roots of 146313216
- 146313216 squared (1463132162) is 21407557176262656
- 146313216 cubed (1463132163) is 3132208537162868060061696
-
146313216 is a
perfect square number . Itssquare root is 12096 -
The
cube root of 146313216 is 526.9400222435
Scales and comparisons
How big is 146313216?- 146,313,216 seconds is equal to 4 years, 33 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
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To count from 1 to 146,313,216 would take you about 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 146313216 cubic inches would be around 43.9 feet tall.
Recreational maths with 146313216
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