146949920
146,949,920 is an even composite number composed of six prime numbers multiplied together.
146949920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 146949920:
25 × 5 × 13 × 31 × 43 × 53
(2 × 2 × 2 × 2 × 2 × 5 × 13 × 31 × 43 × 53)See below for interesting mathematical facts about the number 146949920 from the Numbermatics database.
Names of 146949920
- Cardinal: 146949920 can be written as One hundred forty-six million, nine hundred forty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.4694992 × 108
Factors of 146949920
Divisors of 146949920
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 31 32 40 43 52 53 62 65 80 86 104 106 124 130 155 160 172 208 212 215 248 260 265 310 344 403 416 424 430 496 520 530 559 620 688 689 806 848 860 992 1040 1060 1118 1240 1333 1376 1378 1612 1643 1696 1720 2015 2080 2120 2236 2279 2480 2666 2756 2795 3224 3286 3440 3445 4030 4240 4472 4558 4960 5332 5512 5590 6448 6572 6665 6880 6890 8060 8215 8480 8944 9116 10664 11024 11180 11395 12896 13144 13330 13780 16120 16430 17329 17888 18232 21328 21359 22048 22360 22790 26288 26660 27560 29627 32240 32860 34658 36464 42656 42718 44720 45580 52576 53320 55120 59254 64480 65720 69316 70649 72928 85436 86645 89440 91160 106640 106795 110240 118508 131440 138632 141298 148135 170872 173290 182320 213280 213590 237016 262880 277264 282596 296270 341744 346580 353245 364640 427180 474032 554528 565192 592540 683488 693160 706490 854360 918437 948064 1130384 1185080 1386320 1412980 1708720 1836874 2260768 2370160 2772640 2825960 3417440 3673748 4592185 4740320 5651920 7347496 9184370 11303840 14694992 18368740 29389984 36737480 73474960 146949920
- Sum of all divisors σ(n): 402361344
- Sum of proper divisors (its aliquot sum) s(n): 255411424
- 146949920 is an abundant number, because the sum of its proper divisors (255411424) is greater than itself. Its abundance is 108461504
Bases of 146949920
- Binary: 10001100001001000111001000002
- Hexadecimal: 0x8C24720
- Base-36: 2FHNA8
Squares and roots of 146949920
- 146949920 squared (1469499202) is 21594278988006400
- 146949920 cubed (1469499203) is 3173277569745221439488000
-
The
square root of 146949920 is 12122.2902126619 -
The
cube root of 146949920 is 527.7032691453
Scales and comparisons
How big is 146949920?- 146,949,920 seconds is equal to 4 years, 34 weeks, 6 days, 19 hours, 25 minutes, 20 seconds.
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To count from 1 to 146,949,920 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 146949920 cubic inches would be around 44 feet tall.
Recreational maths with 146949920
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