214001299200
214,001,299,200 is an even composite number composed of seven prime numbers multiplied together.
214001299200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 214001299200:
28 × 3 × 52 × 13 × 43 × 127 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 43 × 127 × 157)See below for interesting mathematical facts about the number 214001299200 from the Numbermatics database.
Names of 214001299200
- Cardinal: 214001299200 can be written as Two hundred fourteen billion, one million, two hundred ninety-nine thousand, two hundred.
Scientific notation
- Scientific notation: 2.140012992 × 1011
Factors of 214001299200
Divisors of 214001299200
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 43 48 50 52 60 64 65 75 78 80 86 96 100 104 120 127 128 129 130 150 156 157 160 172 192 195 200 208 215 240 254 256 258 260 300 312 314 320 325 344 381 384 390 400 416 430 471 480 508 516 520 559 600 624 628 635 640 645 650 688 762 768 780 785 800 832 860 942 960 975 1016 1032 1040 1075 1118 1200 1248 1256 1270 1280 1290 1300 1376 1524 1560 1570 1600 1651 1664 1677 1720 1884 1905 1920 1950 2032 2041 2064 2080 2150 2236 2355 2400 2496 2512 2540 2580 2600 2752 2795 3048 3120 3140 3175 3200 3225 3302 3328 3354 3440 3768 3810 3840 3900 3925 4064 4082 4128 4160 4300 4472 4710 4800 4953 4992 5024 5080 5160 5200 5461 5504 5590 6096 6123 6240 6280 6350 6400 6450 6604 6708 6751 6880 7536 7620 7800 7850 8128 8164 8255 8256 8320 8385 8600 8944 9420 9525 9600 9906 9984 10048 10160 10205 10320 10400 10922 11008 11180 11775 12192 12246 12480 12560 12700 12900 13208 13416 13502 13760 13975 15072 15240 15600 15700 16256 16328 16383 16510 16512 16640 16770 17200 17888 18840 19050 19200 19812 19939 20096 20253 20320 20410 20640 20800 21844 22360 23550 24384 24492 24765 24960 25120 25400 25800 26416 26832 27004 27305 27520 27950 30144 30480 30615 31200 31400 32512 32656 32766 33020 33024 33540 33755 34400 35776 37680 38100 39624 39878 40192 40506 40640 40820 41275 41280 41600 41925 43688 44720 47100 48768 48984 49530 49920 50240 50800 51025 51600 52832 53664 54008 54610 55040 55900 59817 60288 60960 61230 62400 62800 65312 65532 66040 67080 67510 68800 70993 71552 75360 76200 79248 79756 81012 81280 81640 81915 82550 82560 83200 83850 87376 87763 89440 94200 97536 97968 99060 99695 100480 101265 101600 102050 103200 105664 107328 108016 109220 111800 119634 120576 121920 122460 123825 124800 125600 130624 131064 132080 134160 135020 136525 137600 141986 143104 150720 152400 153075 158496 159512 162024 162560 163280 163830 165100 165120 167700 168775 174752 175526 178880 188400 195936 198120 199390 200960 202530 203200 204100 206400 211328 212979 214656 216032 218440 223600 239268 243840 244920 247650 249600 251200 259207 261248 262128 263289 264160 268320 270040 273050 275200 283972 299085 301440 304800 306150 316992 319024 324048 326560 327660 330200 335400 337550 349504 351052 354965 357760 376800 391872 396240 398780 405060 406400 408200 409575 412800 422656 425958 429312 432064 436880 438815 447200 478536 487680 489840 495300 498475 502400 506325 518414 522496 524256 526578 528320 536640 540080 546100 567944 598170 602880 609600 612300 633984 638048 648096 653120 655320 660400 670800 675100 699008 702104 709930 715520 753600 777621 783744 792480 797560 810120 812800 816400 819150 825600 851916 857377 864128 873760 877630 894400 957072 979680 990600 996950 1004800 1012650 1036828 1048512 1053156 1056640 1064895 1073280 1080160 1092200 1135888 1196340 1219200 1224600 1267968 1276096 1296035 1296192 1306240 1310640 1316445 1320800 1341600 1350200 1398016 1404208 1419860 1495425 1507200 1555242 1567488 1584960 1595120 1620240 1632800 1638300 1703832 1714754 1728256 1747520 1755260 1774825 1788800 1914144 1959360 1981200 1993900 2025300 2073656 2097024 2106312 2113280 2129790 2146560 2160320 2184400 2194075 2271776 2392680 2438400 2449200 2552192 2572131 2592070 2592384 2612480 2621280 2632890 2641600 2683200 2700400 2808416 2839720 2990850 3014400 3110484 3169920 3190240 3240480 3265600 3276600 3407664 3429508 3495040 3510520 3549650 3577600 3828288 3888105 3918720 3962400 3987800 4050600 4147312 4194048 4212624 4259580 4286885 4320640 4368800 4388150 4543552 4785360 4898400 5104384 5144262 5184140 5184768 5242560 5265780 5283200 5324475 5366400 5400800 5616832 5679440 5981700 6220968 6339840 6380480 6480175 6480960 6531200 6553200 6582225 6815328 6859016 6990080 7021040 7099300 7656576 7776210 7837440 7924800 7975600 8101200 8294624 8425248 8519160 8573770 8641280 8737600 8776300 9087104 9570720 9796800 10288524 10368280 10485120 10531560 10566400 10648950 10732800 10801600 11145901 11233664 11358880 11963400 12441936 12760960 12860655 12960350 12961920 13062400 13106400 13164450 13630656 13718032 14042080 14198600 15313152 15552420 15849600 15951200 16202400 16589248 16850496 17038320 17147540 17475200 17552600 18174208 19141440 19440525 19593600 20577048 20736560 20970240 21063120 21297900 21434425 21603200 22291802 22467328 22717760 23926800 24883872 25521920 25721310 25920700 25923840 26212800 26328900 27261312 27436064 28084160 28397200 31104840 31699200 31902400 32404800 33178496 33437703 33700992 34076640 34295080 34950400 35105200 38282880 38881050 39187200 41154096 41473120 42126240 42595800 42868850 43206400 44583604 45435520 47853600 49767744 51442620 51841400 52425600 52657800 54522624 54872128 55729505 56168320 56794400 62209680 63804800 64303275 64809600 66356992 66875406 67401984 68153280 68590160 70210400 76565760 77762100 82308192 82946240 84252480 85191600 85737700 89167208 90871040 95707200 99535488 102885240 103682800 104851200 105315600 109744256 111459010 112336640 113588800 124419360 127609600 128606550 129619200 133750812 136306560 137180320 140420800 155524200 164616384 165892480 167188515 168504960 170383200 171475400 178334416 191414400 199070976 205770480 207365600 210631200 219488512 222918020 227177600 248838720 257213100 267501624 272613120 274360640 278647525 280841600 311048400 329232768 331784960 334377030 337009920 340766400 342950800 356668832 382828800 411540960 414731200 421262400 445836040 454355200 497677440 514426200 535003248 548721280 557295050 561683200 622096800 658465536 668754060 681532800 685901600 713337664 823081920 829462400 835942575 842524800 891672080 995354880 1028852400 1070006496 1097442560 1114590100 1244193600 1337508120 1363065600 1371803200 1426675328 1646163840 1658924800 1671885150 1685049600 1783344160 2057704800 2140012992 2229180200 2488387200 2675016240 2743606400 2853350656 3292327680 3343770300 3566688320 4115409600 4280025984 4458360400 4976774400 5350032480 5487212800 6687540600 7133376640 8230819200 8560051968 8916720800 10700064960 13375081200 14266753280 16461638400 17833441600 21400129920 26750162400 35666883200 42800259840 53500324800 71333766400 107000649600 214001299200
- Sum of all divisors σ(n): 789387698176
- Sum of proper divisors (its aliquot sum) s(n): 575386398976
- 214001299200 is an abundant number, because the sum of its proper divisors (575386398976) is greater than itself. Its abundance is 361385099776
Bases of 214001299200
- Binary: 110001110100110111100010101111000000002
- Hexadecimal: 0x31D378AF00
- Base-36: 2QB6UJ9C
Squares and roots of 214001299200
- 214001299200 squared (2140012992002) is 45796556059287920640000
- 214001299200 cubed (2140012992003) is 9800522495573247243826495488000000
-
The
square root of 214001299200 is 462602.7444795375 -
The
cube root of 214001299200 is 5981.4361341607
Scales and comparisons
How big is 214001299200?- 214,001,299,200 seconds is equal to 6,804 years, 30 weeks, 21 hours, 20 minutes.
-
To count from 1 to 214,001,299,200 would take you about thirteen thousand, six hundred nine 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 214001299200 cubic inches would be around 498.5 feet tall.
Recreational maths with 214001299200
- 214001299200 backwards is 002992100412
- 214001299200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 214001299200's digits is 30
- More coming soon!
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