213945984
213,945,984 is an even composite number composed of five prime numbers multiplied together.
213945984 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 213945984:
27 × 32 × 7 × 43 × 617
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 43 × 617)See below for interesting mathematical facts about the number 213945984 from the Numbermatics database.
Names of 213945984
- Cardinal: 213945984 can be written as Two hundred thirteen million, nine hundred forty-five thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 2.13945984 × 108
Factors of 213945984
Divisors of 213945984
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 56 63 64 72 84 86 96 112 126 128 129 144 168 172 192 224 252 258 288 301 336 344 384 387 448 504 516 576 602 617 672 688 774 896 903 1008 1032 1152 1204 1234 1344 1376 1548 1806 1851 2016 2064 2408 2468 2688 2709 2752 3096 3612 3702 4032 4128 4319 4816 4936 5418 5504 5553 6192 7224 7404 8064 8256 8638 9632 9872 10836 11106 12384 12957 14448 14808 16512 17276 19264 19744 21672 22212 24768 25914 26531 28896 29616 34552 38528 38871 39488 43344 44424 49536 51828 53062 57792 59232 69104 77742 78976 79593 86688 88848 103656 106124 115584 118464 138208 155484 159186 173376 177696 185717 207312 212248 236928 238779 276416 310968 318372 346752 355392 371434 414624 424496 477558 552832 557151 621936 636744 710784 742868 829248 848992 955116 1114302 1243872 1273488 1485736 1658496 1671453 1697984 1910232 2228604 2487744 2546976 2971472 3342906 3395968 3820464 4457208 4975488 5093952 5942944 6685812 7640928 8914416 10187904 11885888 13371624 15281856 17828832 23771776 26743248 30563712 35657664 53486496 71315328 106972992 213945984
- Sum of all divisors σ(n): 721131840
- Sum of proper divisors (its aliquot sum) s(n): 507185856
- 213945984 is an abundant number, because the sum of its proper divisors (507185856) is greater than itself. Its abundance is 293239872
Bases of 213945984
- Binary: 11001100000010001110100000002
- Hexadecimal: 0xCC08E80
- Base-36: 3JDLS0
Squares and roots of 213945984
- 213945984 squared (2139459842) is 45772884069728256
- 213945984 cubed (2139459843) is 9792924722815936342523904
-
The
square root of 213945984 is 14626.8924929391 -
The
cube root of 213945984 is 598.0920727871
Scales and comparisons
How big is 213945984?- 213,945,984 seconds is equal to 6 years, 41 weeks, 5 days, 5 hours, 26 minutes, 24 seconds.
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To count from 1 to 213,945,984 would take you about ten 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 213945984 cubic inches would be around 49.8 feet tall.
Recreational maths with 213945984
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