168130368
168,130,368 is an even composite number composed of five prime numbers multiplied together.
168130368 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 168130368:
26 × 32 × 73 × 23 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 23 × 37)See below for interesting mathematical facts about the number 168130368 from the Numbermatics database.
Names of 168130368
- Cardinal: 168130368 can be written as One hundred sixty-eight million, one hundred thirty thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.68130368 × 108
Factors of 168130368
Divisors of 168130368
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 37 42 46 48 49 56 63 64 69 72 74 84 92 96 98 111 112 126 138 144 147 148 161 168 184 192 196 207 222 224 252 259 276 288 294 296 322 333 336 343 368 392 414 441 444 448 483 504 518 552 576 588 592 644 666 672 686 736 777 784 828 851 882 888 966 1008 1029 1036 1104 1127 1176 1184 1288 1332 1344 1372 1449 1472 1554 1568 1656 1702 1764 1776 1813 1932 2016 2058 2072 2208 2254 2331 2352 2368 2553 2576 2664 2744 2898 3087 3108 3136 3312 3381 3404 3528 3552 3626 3864 4032 4116 4144 4416 4508 4662 4704 5106 5152 5328 5439 5488 5796 5957 6174 6216 6624 6762 6808 7056 7104 7252 7659 7728 7889 8232 8288 9016 9324 9408 10143 10212 10304 10656 10878 10976 11592 11914 12348 12432 12691 13248 13524 13616 14112 14504 15318 15456 15778 16317 16464 16576 17871 18032 18648 20286 20424 21312 21756 21952 23184 23667 23828 24696 24864 25382 27048 27232 28224 29008 30636 30912 31556 32634 32928 35742 36064 37296 38073 40572 40848 41699 43512 46368 47334 47656 49392 49728 50764 53613 54096 54464 58016 61272 63112 65268 65856 71001 71484 72128 74592 76146 81144 81696 83398 87024 92736 94668 95312 98784 101528 107226 108192 114219 116032 122544 125097 126224 130536 142002 142968 149184 152292 162288 163392 166796 174048 189336 190624 197568 203056 214452 216384 228438 245088 250194 252448 261072 284004 285936 291893 304584 324576 333592 348096 375291 378672 381248 406112 428904 456876 490176 500388 504896 522144 568008 571872 583786 609168 649152 667184 750582 757344 812224 857808 875679 913752 1000776 1044288 1136016 1143744 1167572 1218336 1334368 1501164 1514688 1715616 1751358 1827504 2001552 2272032 2335144 2436672 2627037 2668736 3002328 3431232 3502716 3655008 4003104 4544064 4670288 5254074 6004656 7005432 7310016 8006208 9340576 10508148 12009312 14010864 18681152 21016296 24018624 28021728 42032592 56043456 84065184 168130368
- Sum of all divisors σ(n): 602284800
- Sum of proper divisors (its aliquot sum) s(n): 434154432
- 168130368 is an abundant number, because the sum of its proper divisors (434154432) is greater than itself. Its abundance is 266024064
Bases of 168130368
- Binary: 10100000010101110111010000002
- Hexadecimal: 0xA057740
- Base-36: 2S3M80
Squares and roots of 168130368
- 168130368 squared (1681303682) is 28267820643815424
- 168130368 cubed (1681303683) is 4752679087402684161196032
-
The
square root of 168130368 is 12966.5094763393 -
The
cube root of 168130368 is 551.9275267171
Scales and comparisons
How big is 168130368?- 168,130,368 seconds is equal to 5 years, 17 weeks, 6 days, 22 hours, 52 minutes, 48 seconds.
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To count from 1 to 168,130,368 would take you about eight 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 168130368 cubic inches would be around 46 feet tall.
Recreational maths with 168130368
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