213129840
213,129,840 is an even composite number composed of seven prime numbers multiplied together.
213129840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 213129840:
24 × 3 × 5 × 7 × 11 × 19 × 607
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 19 × 607)See below for interesting mathematical facts about the number 213129840 from the Numbermatics database.
Names of 213129840
- Cardinal: 213129840 can be written as Two hundred thirteen million, one hundred twenty-nine thousand, eight hundred forty.
Scientific notation
- Scientific notation: 2.1312984 × 108
Factors of 213129840
Divisors of 213129840
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 19 20 21 22 24 28 30 33 35 38 40 42 44 48 55 56 57 60 66 70 76 77 80 84 88 95 105 110 112 114 120 132 133 140 152 154 165 168 176 190 209 210 220 228 231 240 264 266 280 285 304 308 330 336 380 385 399 418 420 440 456 462 528 532 560 570 607 616 627 660 665 760 770 798 836 840 880 912 924 1045 1064 1140 1155 1214 1232 1254 1320 1330 1463 1520 1540 1596 1672 1680 1821 1848 1995 2090 2128 2280 2310 2428 2508 2640 2660 2926 3035 3080 3135 3192 3344 3642 3696 3990 4180 4249 4389 4560 4620 4856 5016 5320 5852 6070 6160 6270 6384 6677 7284 7315 7980 8360 8498 8778 9105 9240 9712 10032 10640 11533 11704 12140 12540 12747 13354 14568 14630 15960 16720 16996 17556 18210 18480 20031 21245 21945 23066 23408 24280 25080 25494 26708 29136 29260 31920 33385 33992 34599 35112 36420 40062 42490 43890 46132 46739 48560 50160 50988 53416 57665 58520 63735 66770 67984 69198 70224 72840 80124 80731 84980 87780 92264 93478 100155 101976 106832 115330 117040 126863 127470 133540 138396 140217 145680 160248 161462 169960 172995 175560 184528 186956 200310 203952 230660 233695 242193 253726 254940 267080 276792 280434 320496 322924 339920 345990 351120 373912 380589 400620 403655 461320 467390 484386 507452 509880 534160 553584 560868 634315 645848 691980 701085 747824 761178 801240 807310 888041 922640 934780 968772 1014904 1019760 1121736 1210965 1268630 1291696 1383960 1402170 1522356 1602480 1614620 1776082 1869560 1902945 1937544 2029808 2243472 2421930 2537260 2664123 2767920 2804340 3044712 3229240 3552164 3739120 3805890 3875088 4440205 4843860 5074520 5328246 5608680 6089424 6458480 7104328 7611780 8880410 9687720 10149040 10656492 11217360 13320615 14208656 15223560 17760820 19375440 21312984 26641230 30447120 35521640 42625968 53282460 71043280 106564920 213129840
- Sum of all divisors σ(n): 868515840
- Sum of proper divisors (its aliquot sum) s(n): 655386000
- 213129840 is an abundant number, because the sum of its proper divisors (655386000) is greater than itself. Its abundance is 442256160
Bases of 213129840
- Binary: 11001011010000011010011100002
- Hexadecimal: 0xCB41A70
- Base-36: 3IW41C
Squares and roots of 213129840
- 213129840 squared (2131298402) is 45424328698425600
- 213129840 cubed (2131298403) is 9681279907602856379904000
-
The
square root of 213129840 is 14598.9670867497 -
The
cube root of 213129840 is 597.3305857699
Scales and comparisons
How big is 213129840?- 213,129,840 seconds is equal to 6 years, 40 weeks, 2 days, 18 hours, 44 minutes.
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To count from 1 to 213,129,840 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 213129840 cubic inches would be around 49.8 feet tall.
Recreational maths with 213129840
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