213135312000
213,135,312,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 213135312000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 512 divisors.
213135312000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 213135312000:
27 × 3 × 53 × 13 × 19 × 17977
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 19 × 17977)See below for interesting mathematical facts about the number 213135312000 from the Numbermatics database.
Names of 213135312000
- Cardinal: 213135312000 can be written as Two hundred thirteen billion, one hundred thirty-five million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 2.13135312 × 1011
Factors of 213135312000
Divisors of 213135312000
- Number of divisors d(n): 512
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 32 38 39 40 48 50 52 57 60 64 65 75 76 78 80 95 96 100 104 114 120 125 128 130 150 152 156 160 190 192 195 200 208 228 240 247 250 260 285 300 304 312 320 325 375 380 384 390 400 416 456 475 480 494 500 520 570 600 608 624 640 650 741 750 760 780 800 832 912 950 960 975 988 1000 1040 1140 1200 1216 1235 1248 1300 1425 1482 1500 1520 1560 1600 1625 1664 1824 1900 1920 1950 1976 2000 2080 2280 2375 2400 2432 2470 2496 2600 2850 2964 3000 3040 3120 3200 3250 3648 3705 3800 3900 3952 4000 4160 4560 4750 4800 4875 4940 4992 5200 5700 5928 6000 6080 6175 6240 6500 7125 7296 7410 7600 7800 7904 8000 8320 9120 9500 9600 9750 9880 10400 11400 11856 12000 12160 12350 12480 13000 14250 14820 15200 15600 15808 16000 17977 18240 18525 19000 19500 19760 20800 22800 23712 24000 24700 24960 26000 28500 29640 30400 30875 31200 31616 35954 36480 37050 38000 39000 39520 41600 45600 47424 48000 49400 52000 53931 57000 59280 60800 61750 62400 71908 74100 76000 78000 79040 89885 91200 92625 94848 98800 104000 107862 114000 118560 123500 124800 143816 148200 152000 156000 158080 179770 182400 185250 197600 208000 215724 228000 233701 237120 247000 269655 287632 296400 304000 312000 341563 359540 370500 395200 431448 449425 456000 467402 474240 494000 539310 575264 592800 624000 683126 701103 719080 741000 790400 862896 898850 912000 934804 988000 1024689 1078620 1150528 1168505 1185600 1348275 1366252 1402206 1438160 1482000 1707815 1725792 1797700 1869608 1976000 2049378 2157240 2247125 2301056 2337010 2371200 2696550 2732504 2804412 2876320 2964000 3415630 3451584 3505515 3595400 3739216 3952000 4098756 4314480 4440319 4494250 4674020 5123445 5393100 5465008 5608824 5752640 5842525 5928000 6741375 6831260 6903168 7011030 7190800 7478432 8197512 8539075 8628960 8880638 8988500 9348040 10246890 10786200 10930016 11217648 11505280 11685050 11856000 13320957 13482750 13662520 14022060 14381600 14956864 16395024 17078150 17257920 17527575 17761276 17977000 18696080 20493780 21572400 21860032 22201595 22435296 23370100 25617225 26641914 26965500 27325040 28044120 28763200 29212625 29913728 32790048 34156300 34515840 35055150 35522552 35954000 37392160 40987560 42695375 43144800 43720064 44403190 44870592 46740200 51234450 53283828 53931000 54650080 56088240 57526400 58425250 65580096 66604785 68312600 70110300 71045104 71908000 74784320 81975120 85390750 86289600 87637875 88806380 89741184 93480400 102468900 106567656 107862000 109300160 111007975 112176480 116850500 128086125 131160192 133209570 136625200 140220600 142090208 143816000 149568640 163950240 170781500 172579200 175275750 177612760 186960800 204937800 213135312 215724000 218600320 222015950 224352960 233701000 256172250 266419140 273250400 280441200 284180416 287632000 327900480 333023925 341563000 350551500 355225520 373921600 409875600 426270624 431448000 444031900 448705920 467402000 512344500 532838280 546500800 555039875 560882400 568360832 655800960 666047850 683126000 701103000 710451040 747843200 819751200 852541248 862896000 888063800 934804000 1024689000 1065676560 1093001600 1110079750 1121764800 1332095700 1366252000 1402206000 1420902080 1639502400 1665119625 1705082496 1776127600 1869608000 2049378000 2131353120 2220159500 2243529600 2664191400 2732504000 2804412000 2841804160 3279004800 3330239250 3552255200 3739216000 4098756000 4262706240 4440319000 5328382800 5465008000 5608824000 6660478500 7104510400 8197512000 8525412480 8880638000 10656765600 11217648000 13320957000 14209020800 16395024000 17761276000 21313531200 26641914000 35522552000 42627062400 53283828000 71045104000 106567656000 213135312000
- Sum of all divisors σ(n): 800984620800
- Sum of proper divisors (its aliquot sum) s(n): 587849308800
- 213135312000 is an abundant number, because the sum of its proper divisors (587849308800) is greater than itself. Its abundance is 374713996800
Bases of 213135312000
- Binary: 110001100111111101101011000100100000002
- Hexadecimal: 0x319FDAC480
- Base-36: 2PWV9F9C
Squares and roots of 213135312000
- 213135312000 squared (2131353120002) is 45426661221337344000000
- 213135312000 cubed (2131353120003) is 9682025612528035870691328000000000
-
The
square root of 213135312000 is 461665.8012025583 -
The
cube root of 213135312000 is 5973.3569777887
Scales and comparisons
How big is 213135312000?- 213,135,312,000 seconds is equal to 6,777 years, 2 weeks, 1 day, 21 hours, 20 minutes.
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To count from 1 to 213,135,312,000 would take you about thirteen thousand, five hundred fifty-four 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 213135312000 cubic inches would be around 497.8 feet tall.
Recreational maths with 213135312000
- 213135312000 backwards is 000213531312
- The number of decimal digits it has is: 12
- The sum of 213135312000's digits is 21
- More coming soon!
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