214122074400
214,122,074,400 is an even composite number composed of six prime numbers multiplied together.
214122074400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 214122074400:
25 × 35 × 52 × 13 × 193 × 439
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 193 × 439)See below for interesting mathematical facts about the number 214122074400 from the Numbermatics database.
Names of 214122074400
- Cardinal: 214122074400 can be written as Two hundred fourteen billion, one hundred twenty-two million, seventy-four thousand, four hundred.
Scientific notation
- Scientific notation: 2.141220744 × 1011
Factors of 214122074400
Divisors of 214122074400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 65 72 75 78 80 81 90 96 100 104 108 117 120 130 135 144 150 156 160 162 180 193 195 200 208 216 225 234 240 243 260 270 288 300 312 324 325 351 360 386 390 400 405 416 432 439 450 468 480 486 520 540 579 585 600 624 648 650 675 702 720 772 780 800 810 864 878 900 936 965 972 975 1040 1053 1080 1158 1170 1200 1215 1248 1296 1300 1317 1350 1404 1440 1544 1560 1620 1737 1755 1756 1800 1872 1930 1944 1950 2025 2080 2106 2160 2195 2316 2340 2400 2430 2509 2592 2600 2634 2700 2808 2895 2925 3088 3120 3159 3240 3474 3510 3512 3600 3744 3860 3888 3900 3951 4050 4212 4320 4390 4632 4680 4825 4860 5018 5200 5211 5265 5268 5400 5616 5707 5790 5850 6075 6176 6240 6318 6480 6585 6948 7020 7024 7200 7527 7720 7776 7800 7902 8100 8424 8685 8775 8780 9264 9360 9650 9720 10036 10400 10422 10530 10536 10800 10975 11232 11414 11580 11700 11853 12150 12545 12636 12960 13170 13896 14040 14048 14475 15054 15440 15600 15633 15795 15804 16200 16848 17121 17370 17550 17560 18528 18720 19300 19440 19755 20072 20844 21060 21072 21600 21950 22581 22828 23160 23400 23706 24300 25090 25272 26055 26325 26340 27792 28080 28535 28950 30108 30880 31200 31266 31590 31608 32400 32925 33696 34242 34740 35100 35120 35559 37635 38600 38880 39510 40144 41688 42120 42144 43425 43900 45162 45656 46320 46800 46899 47412 48600 50180 50544 51363 52110 52650 52680 55584 56160 57070 57900 59265 60216 62532 62725 63180 63216 64800 65850 67743 68484 69480 70200 70240 71118 75270 77200 78165 78975 79020 80288 83376 84240 84727 85605 86850 87800 90324 91312 92640 93600 93798 94824 97200 98775 100360 101088 102726 104220 105300 105360 106677 112905 114140 115800 118530 120432 125064 125450 126360 126432 130275 131700 135486 136968 138960 140400 142236 142675 150540 154089 154400 156330 157950 158040 166752 168480 169454 171210 173700 175600 177795 180648 182624 187596 188175 189648 194400 197550 200720 203229 205452 208440 210600 210720 213354 225810 228280 231600 234495 237060 240864 250128 250900 252720 254181 256815 260550 263400 270972 273936 277920 280800 284472 285350 296325 301080 308178 312660 315900 316080 338715 338908 342420 347400 351200 355590 361296 375192 376350 379296 390825 395100 401440 406458 410904 416880 421200 423635 426708 428025 451620 456560 462267 463200 468990 474120 500256 501800 505440 508362 513630 521100 526800 533385 541944 547872 564525 568944 570700 592650 602160 609687 616356 625320 631800 632160 677430 677816 684840 694800 711180 722592 750384 752700 762543 770445 781650 790200 812916 821808 833760 842400 847270 853416 856050 888975 903240 913120 924534 937980 948240 1003600 1016145 1016724 1027260 1042200 1053600 1066770 1083888 1101451 1129050 1137888 1141400 1172475 1185300 1204320 1219374 1232712 1250640 1263600 1270905 1284075 1354860 1355632 1369680 1386801 1389600 1422360 1500768 1505400 1525086 1540890 1563300 1580400 1625832 1643616 1693575 1694540 1706832 1712100 1777950 1806480 1849068 1875960 1896480 2007200 2032290 2033448 2054520 2084400 2118175 2133540 2167776 2202902 2258100 2282800 2287629 2311335 2344950 2370600 2438748 2465424 2501280 2527200 2541810 2568150 2666925 2709720 2711264 2739360 2773602 2844720 3010800 3048435 3050172 3081780 3126600 3160800 3251664 3304353 3387150 3389080 3413664 3424200 3555900 3612960 3698136 3751920 3812715 3852225 4064580 4066896 4109040 4168800 4236350 4267080 4405804 4516200 4565600 4575258 4622670 4689900 4741200 4877496 4930848 5080725 5083620 5136300 5333850 5419440 5507255 5547204 5689440 6021600 6096870 6100344 6163560 6253200 6354525 6503328 6608706 6774300 6778160 6848400 6862887 6934005 7111800 7396272 7503840 7625430 7704450 8129160 8133792 8218080 8472700 8534160 8811608 9032400 9150516 9245340 9379800 9482400 9754992 9913059 10161450 10167240 10272600 10667700 10838880 11014510 11094408 11438145 11556675 12193740 12200688 12327120 12506400 12709050 13217412 13548600 13556320 13696800 13725774 13868010 14223600 14792544 15242175 15250860 15408900 16258320 16521765 16945400 17068320 17623216 18064800 18301032 18490680 18759600 19063575 19509984 19826118 20322900 20334480 20545200 20588661 21335400 22029020 22188816 22876290 23113350 24387480 24401376 24654240 25418100 26434824 27097200 27451548 27536275 27736020 28447200 29739177 30484350 30501720 30817800 32516640 33043530 33890800 34314435 34670025 35246432 36602064 36981360 37519200 38127150 39652236 40645800 40668960 41090400 41177322 42670800 44058040 44377632 45752580 46226700 48774960 49565295 50836200 52869648 54194400 54903096 55072550 55472040 57190725 59478354 60968700 61003440 61635600 66087060 67781600 68628870 69340050 73204128 73962720 76254300 79304472 81291600 82354644 82608825 85341600 88116080 89217531 91505160 92453400 97549920 99130590 101672400 102943305 105739296 109806192 110145100 110944080 114381450 118956708 121937400 122006880 123271200 132174120 137257740 138680100 148695885 152508600 158608944 162583200 164709288 165217650 171572175 176232160 178435062 183010320 184906800 198261180 203344800 205886610 219612384 220290200 221888160 228762900 237913416 243874800 247826475 264348240 267652593 274515480 277360200 297391770 305017200 317217888 329418576 330435300 343144350 356870124 366020640 369813600 396522360 411773220 440580400 446087655 457525800 475826832 487749600 495652950 514716525 528696480 535305186 549030960 554720400 594783540 610034400 658837152 660870600 686288700 713740248 743479425 793044720 823546440 881160800 892175310 915051600 951653664 991305900 1029433050 1070610372 1098061920 1109440800 1189567080 1321741200 1338262965 1372577400 1427480496 1486958850 1586089440 1647092880 1784350620 1830103200 1982611800 2058866100 2141220744 2230438275 2379134160 2643482400 2676525930 2745154800 2854960992 2973917700 3294185760 3568701240 3965223600 4117732200 4282441488 4460876550 4758268320 5353051860 5490309600 5947835400 6691314825 7137402480 7930447200 8235464400 8564882976 8921753100 10706103720 11895670800 13382629650 14274804960 16470928800 17843506200 21412207440 23791341600 26765259300 35687012400 42824414880 53530518600 71374024800 107061037200 214122074400
- Sum of all divisors σ(n): 849544375680
- Sum of proper divisors (its aliquot sum) s(n): 635422301280
- 214122074400 is an abundant number, because the sum of its proper divisors (635422301280) is greater than itself. Its abundance is 421300226880
Bases of 214122074400
- Binary: 110001110110101010101110010001001000002
- Hexadecimal: 0x31DAAB9120
- Base-36: 2QD6R600
Squares and roots of 214122074400
- 214122074400 squared (2141220744002) is 45848262745359135360000
- 214122074400 cubed (2141220744003) is 9817125126672537036273590784000000
-
The
square root of 214122074400 is 462733.2648513611 -
The
cube root of 214122074400 is 5982.5611636029
Scales and comparisons
How big is 214122074400?- 214,122,074,400 seconds is equal to 6,808 years, 21 weeks, 5 days, 18 hours.
-
To count from 1 to 214,122,074,400 would take you about thirteen thousand, six hundred sixteen 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 214122074400 cubic inches would be around 498.5 feet tall.
Recreational maths with 214122074400
- 214122074400 backwards is 004470221412
- 214122074400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 214122074400's digits is 27
- More coming soon!
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The information we have on file for 214122074400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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