213948672
213,948,672 is an even composite number composed of five prime numbers multiplied together.
213948672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 213948672:
28 × 3 × 7 × 17 × 2341
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 17 × 2341)See below for interesting mathematical facts about the number 213948672 from the Numbermatics database.
Names of 213948672
- Cardinal: 213948672 can be written as Two hundred thirteen million, nine hundred forty-eight thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 2.13948672 × 108
Factors of 213948672
Divisors of 213948672
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 544 672 714 768 816 896 952 1088 1344 1428 1632 1792 1904 2176 2341 2688 2856 3264 3808 4352 4682 5376 5712 6528 7023 7616 9364 11424 13056 14046 15232 16387 18728 22848 28092 30464 32774 37456 39797 45696 49161 56184 65548 74912 79594 91392 98322 112368 119391 131096 149824 159188 196644 224736 238782 262192 278579 299648 318376 393288 449472 477564 524384 557158 599296 636752 786576 835737 898944 955128 1048768 1114316 1273504 1573152 1671474 1797888 1910256 2097536 2228632 2547008 3146304 3342948 3820512 4195072 4457264 5094016 6292608 6685896 7641024 8914528 10188032 12585216 13371792 15282048 17829056 26743584 30564096 35658112 53487168 71316224 106974336 213948672
- Sum of all divisors σ(n): 689334912
- Sum of proper divisors (its aliquot sum) s(n): 475386240
- 213948672 is an abundant number, because the sum of its proper divisors (475386240) is greater than itself. Its abundance is 261437568
Bases of 213948672
- Binary: 11001100000010011001000000002
- Hexadecimal: 0xCC09900
- Base-36: 3JDNUO
Squares and roots of 213948672
- 213948672 squared (2139486722) is 45774034250563584
- 213948672 cubed (2139486723) is 9793293839990594048360448
-
The
square root of 213948672 is 14626.9843781963 -
The
cube root of 213948672 is 598.0945775699
Scales and comparisons
How big is 213948672?- 213,948,672 seconds is equal to 6 years, 41 weeks, 5 days, 6 hours, 11 minutes, 12 seconds.
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To count from 1 to 213,948,672 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 213948672 cubic inches would be around 49.8 feet tall.
Recreational maths with 213948672
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