213129960
213,129,960 is an even composite number composed of seven prime numbers multiplied together.
213129960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 213129960:
23 × 3 × 5 × 23 × 31 × 47 × 53
(2 × 2 × 2 × 3 × 5 × 23 × 31 × 47 × 53)See below for interesting mathematical facts about the number 213129960 from the Numbermatics database.
Names of 213129960
- Cardinal: 213129960 can be written as Two hundred thirteen million, one hundred twenty-nine thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 2.1312996 × 108
Factors of 213129960
Divisors of 213129960
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 20 23 24 30 31 40 46 47 53 60 62 69 92 93 94 106 115 120 124 138 141 155 159 184 186 188 212 230 235 248 265 276 282 310 318 345 372 376 424 460 465 470 530 552 564 620 636 690 705 713 744 795 920 930 940 1060 1081 1128 1219 1240 1272 1380 1410 1426 1457 1590 1643 1860 1880 2120 2139 2162 2438 2491 2760 2820 2852 2914 3180 3243 3286 3565 3657 3720 4278 4324 4371 4876 4929 4982 5405 5640 5704 5828 6095 6360 6486 6572 7130 7285 7314 7473 8215 8556 8648 8742 9752 9858 9964 10695 10810 11656 12190 12455 12972 13144 14260 14570 14628 14946 16215 16430 17112 17484 18285 19716 19928 21390 21620 21855 24380 24645 24910 25944 28520 29140 29256 29892 32430 32860 33511 34968 36570 37365 37789 39432 42780 43240 43710 48760 49290 49820 57293 58280 59784 64860 65720 67022 73140 74730 75578 77221 85560 87420 98580 99640 100533 113367 114586 129720 134044 146280 149460 151156 154442 167555 171879 174840 188945 197160 201066 226734 229172 231663 268088 286465 298920 302312 308884 335110 343758 377890 386105 402132 453468 458344 463326 502665 566835 572930 617768 670220 687516 755780 772210 804264 859395 906936 926652 1005330 1133670 1145860 1158315 1340440 1375032 1511560 1544420 1718790 1776083 1853304 2010660 2267340 2291720 2316630 3088840 3437580 3552166 4021320 4534680 4633260 5328249 6875160 7104332 8880415 9266520 10656498 14208664 17760830 21312996 26641245 35521660 42625992 53282490 71043320 106564980 213129960
- Sum of all divisors σ(n): 716636160
- Sum of proper divisors (its aliquot sum) s(n): 503506200
- 213129960 is an abundant number, because the sum of its proper divisors (503506200) is greater than itself. Its abundance is 290376240
Bases of 213129960
- Binary: 11001011010000011010111010002
- Hexadecimal: 0xCB41AE8
- Base-36: 3IW44O
Squares and roots of 213129960
- 213129960 squared (2131299602) is 45424379849601600
- 213129960 cubed (2131299603) is 9681296260370395023936000
-
The
square root of 213129960 is 14598.9711966289 -
The
cube root of 213129960 is 597.3306978763
Scales and comparisons
How big is 213129960?- 213,129,960 seconds is equal to 6 years, 40 weeks, 2 days, 18 hours, 46 minutes.
-
To count from 1 to 213,129,960 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 213129960 cubic inches would be around 49.8 feet tall.
Recreational maths with 213129960
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