168146048
168,146,048 is an even composite number composed of five prime numbers multiplied together.
168146048 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 168146048:
27 × 72 × 17 × 19 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 17 × 19 × 83)See below for interesting mathematical facts about the number 168146048 from the Numbermatics database.
Names of 168146048
- Cardinal: 168146048 can be written as One hundred sixty-eight million, one hundred forty-six thousand and forty-eight.
Scientific notation
- Scientific notation: 1.68146048 × 108
Factors of 168146048
Divisors of 168146048
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 7 8 14 16 17 19 28 32 34 38 49 56 64 68 76 83 98 112 119 128 133 136 152 166 196 224 238 266 272 304 323 332 392 448 476 532 544 581 608 646 664 784 833 896 931 952 1064 1088 1162 1216 1292 1328 1411 1568 1577 1666 1862 1904 2128 2176 2261 2324 2432 2584 2656 2822 3136 3154 3332 3724 3808 4067 4256 4522 4648 5168 5312 5644 6272 6308 6664 7448 7616 8134 8512 9044 9296 9877 10336 10624 11039 11288 12616 13328 14896 15232 15827 16268 17024 18088 18592 19754 20672 22078 22576 25232 26656 26809 29792 31654 32536 36176 37184 39508 41344 44156 45152 50464 53312 53618 59584 63308 65072 69139 72352 74368 77273 79016 88312 90304 100928 106624 107236 119168 126616 130144 138278 144704 154546 158032 176624 180608 187663 201856 214472 253232 260288 276556 289408 309092 316064 353248 375326 428944 506464 520576 553112 618184 632128 706496 750652 857888 1012928 1106224 1236368 1264256 1313641 1412992 1501304 1715776 2025856 2212448 2472736 2627282 3002608 3431552 4424896 4945472 5254564 6005216 8849792 9890944 10509128 12010432 21018256 24020864 42036512 84073024 168146048
- Sum of all divisors σ(n): 439538400
- Sum of proper divisors (its aliquot sum) s(n): 271392352
- 168146048 is an abundant number, because the sum of its proper divisors (271392352) is greater than itself. Its abundance is 103246304
Bases of 168146048
- Binary: 10100000010110110100100000002
- Hexadecimal: 0xA05B480
- Base-36: 2S3YBK
Squares and roots of 168146048
- 168146048 squared (1681460482) is 28273093458018304
- 168146048 cubed (1681460483) is 4754008929700431729262592
-
The
square root of 168146048 is 12967.1140968221 -
The
cube root of 168146048 is 551.9446839479
Scales and comparisons
How big is 168146048?- 168,146,048 seconds is equal to 5 years, 18 weeks, 3 hours, 14 minutes, 8 seconds.
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To count from 1 to 168,146,048 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 168146048 cubic inches would be around 46 feet tall.
Recreational maths with 168146048
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