213413200
213,413,200 is an even composite number composed of six prime numbers multiplied together.
213413200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 213413200:
24 × 52 × 7 × 11 × 132 × 41
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 13 × 13 × 41)See below for interesting mathematical facts about the number 213413200 from the Numbermatics database.
Names of 213413200
- Cardinal: 213413200 can be written as Two hundred thirteen million, four hundred thirteen thousand, two hundred.
Scientific notation
- Scientific notation: 2.134132 × 108
Factors of 213413200
Divisors of 213413200
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 35 40 41 44 50 52 55 56 65 70 77 80 82 88 91 100 104 110 112 130 140 143 154 164 169 175 176 182 200 205 208 220 260 275 280 286 287 308 325 328 338 350 364 385 400 410 440 451 455 520 533 550 560 572 574 616 650 656 676 700 715 728 770 820 845 880 902 910 1001 1025 1040 1066 1100 1144 1148 1183 1232 1300 1352 1400 1430 1435 1456 1540 1640 1690 1804 1820 1859 1925 2002 2050 2132 2200 2255 2275 2288 2296 2366 2600 2665 2704 2800 2860 2870 3080 3157 3280 3380 3575 3608 3640 3718 3731 3850 4004 4100 4225 4264 4400 4510 4550 4592 4732 5005 5200 5330 5720 5740 5863 5915 6160 6314 6760 6929 7150 7175 7216 7280 7436 7462 7700 8008 8200 8450 8528 9020 9100 9295 9464 10010 10660 11275 11440 11480 11726 11830 12628 13013 13325 13520 13858 14300 14350 14872 14924 15400 15785 16016 16400 16900 18040 18200 18590 18655 18928 20020 21320 22550 22960 23452 23660 25025 25256 26026 26650 27716 28600 28700 29315 29575 29744 29848 30800 31570 33800 34645 36080 36400 37180 37310 40040 41041 42640 45100 46475 46904 47320 48503 50050 50512 52052 53300 55432 57200 57400 58630 59150 59696 63140 65065 67600 69290 74360 74620 76219 78925 80080 82082 90200 92950 93275 93808 94640 97006 100100 104104 106600 110864 114800 117260 118300 126280 130130 138580 146575 148720 149240 152438 157850 164164 173225 180400 185900 186550 194012 200200 205205 208208 213200 234520 236600 242515 252560 260260 277160 293150 298480 304876 315700 325325 328328 346450 371800 373100 381095 388024 400400 410410 469040 473200 485030 520520 533533 554320 586300 609752 631400 650650 656656 692900 743600 746200 762190 776048 820820 970060 1026025 1041040 1067066 1172600 1212575 1219504 1262800 1301300 1385800 1492400 1524380 1641640 1905475 1940120 2052050 2134132 2345200 2425150 2602600 2667665 2771600 3048760 3283280 3810950 3880240 4104100 4268264 4850300 5205200 5335330 6097520 7621900 8208200 8536528 9700600 10670660 13338325 15243800 16416400 19401200 21341320 26676650 30487600 42682640 53353300 106706600 213413200
- Sum of all divisors σ(n): 709079616
- Sum of proper divisors (its aliquot sum) s(n): 495666416
- 213413200 is an abundant number, because the sum of its proper divisors (495666416) is greater than itself. Its abundance is 282253216
Bases of 213413200
- Binary: 11001011100001101101010100002
- Hexadecimal: 0xCB86D50
- Base-36: 3J26OG
Squares and roots of 213413200
- 213413200 squared (2134132002) is 45545193934240000
- 213413200 cubed (2134132003) is 9719945582126747968000000
-
The
square root of 213413200 is 14608.6686593953 -
The
cube root of 213413200 is 597.5951891667
Scales and comparisons
How big is 213413200?- 213,413,200 seconds is equal to 6 years, 40 weeks, 6 days, 1 hour, 26 minutes, 40 seconds.
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To count from 1 to 213,413,200 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 213413200 cubic inches would be around 49.8 feet tall.
Recreational maths with 213413200
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