21642004307246400
21,642,004,307,246,400 is an even composite number composed of six prime numbers multiplied together.
21642004307246400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 21642004307246400:
26 × 33 × 52 × 7 × 11 × 6506134051
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 11 × 6506134051)See below for interesting mathematical facts about the number 21642004307246400 from the Numbermatics database.
Names of 21642004307246400
- Cardinal: 21642004307246400 can be written as Twenty-one quadrillion, six hundred forty-two trillion, four billion, three hundred seven million, two hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 2.16420043072464 × 1016
Factors of 21642004307246400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 6506134079
Divisors of 21642004307246400
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 32 33 35 36 40 42 44 45 48 50 54 55 56 60 63 64 66 70 72 75 77 80 84 88 90 96 99 100 105 108 110 112 120 126 132 135 140 144 150 154 160 165 168 175 176 180 189 192 198 200 210 216 220 224 225 231 240 252 264 270 275 280 288 297 300 308 315 320 330 336 350 352 360 378 385 396 400 420 432 440 448 450 462 480 495 504 525 528 540 550 560 576 594 600 616 630 660 672 675 693 700 704 720 756 770 792 800 825 840 864 880 900 924 945 960 990 1008 1050 1056 1080 1100 1120 1155 1188 1200 1232 1260 1320 1344 1350 1386 1400 1440 1485 1512 1540 1575 1584 1600 1650 1680 1728 1760 1800 1848 1890 1925 1980 2016 2079 2100 2112 2160 2200 2240 2310 2376 2400 2464 2475 2520 2640 2700 2772 2800 2880 2970 3024 3080 3150 3168 3300 3360 3465 3520 3600 3696 3780 3850 3960 4032 4158 4200 4320 4400 4620 4725 4752 4800 4928 4950 5040 5280 5400 5544 5600 5775 5940 6048 6160 6300 6336 6600 6720 6930 7200 7392 7425 7560 7700 7920 8316 8400 8640 8800 9240 9450 9504 9900 10080 10395 10560 10800 11088 11200 11550 11880 12096 12320 12600 13200 13860 14400 14784 14850 15120 15400 15840 16632 16800 17325 17600 18480 18900 19008 19800 20160 20790 21600 22176 23100 23760 24640 25200 26400 27720 29700 30240 30800 31680 33264 33600 34650 36960 37800 39600 41580 43200 44352 46200 47520 50400 51975 52800 55440 59400 60480 61600 66528 69300 73920 75600 79200 83160 92400 95040 100800 103950 110880 118800 123200 133056 138600 151200 158400 166320 184800 207900 221760 237600 277200 302400 332640 369600 415800 475200 554400 665280 831600 1108800 1663200 3326400 6506134051 13012268102 19518402153 26024536204 32530670255 39036804306 45542938357 52049072408 58555206459 65061340510 71567474561 78073608612 91085876714 97592010765 104098144816 117110412918 130122681020 136628815071 143134949122 156147217224 162653351275 175665619377 182171753428 195184021530 208196289632 214702423683 227714691785 234220825836 260245362040 273257630142 286269898244 292776032295 312294434448 325306702550 351331238754 357837372805 364343506856 390368043060 409886445213 416392579264 429404847366 455429383570 468441651672 487960053825 500972321927 520490724080 546515260284 572539796488 585552064590 624588868896 644107271049 650613405100 683144075355 702662477508 715674745610 728687013712 780736086120 819772890426 858809694732 878328096885 910858767140 936883303344 975920107650 1001944643854 1040981448160 1073512118415 1093030520568 1138573458925 1145079592976 1171104129180 1229659335639 1249177737792 1288214542098 1301226810200 1366288150710 1405324955016 1431349491220 1457374027424 1463880161475 1502916965781 1561472172240 1639545780852 1717619389464 1756656193770 1789186864025 1821717534280 1873766606688 1932321813147 1951840215300 2003889287708 2049432226065 2081962896320 2147024236830 2186061041136 2277146917850 2290159185952 2342208258360 2459318671278 2504861609635 2576429084196 2602453620400 2732576301420 2810649910032 2862698982440 2914748054848 2927760322950 3005833931562 3122944344480 3220536355245 3279091561704 3415720376775 3435238778928 3513312387540 3578373728050 3643435068560 3747533213376 3864643626294 3903680430600 4007778575416 4098864452130 4294048473660 4372122082272 4391640484425 4508750897343 4554293835700 4580318371904 4684416516720 4918637342556 5009723219270 5152858168392 5204907240800 5367560592075 5465152602840 5621299820064 5725397964880 5855520645900 6011667863124 6148296678195 6245888688960 6441072710490 6558183123408 6831440753550 6870477557856 7026624775080 7156747456100 7286870137120 7514584828905 7729287252588 7807360861200 8015557150832 8197728904260 8588096947320 8744244164544 8783280968850 9017501794686 9108587671400 9368833033440 9661609065735 9837274685112 10019446438540 10247161130325 10305716336784 10409814481600 10735121184150 10930305205680 11242599640128 11450795929760 11711041291800 12023335726248 12296593356390 12524308048175 12882145420980 13116366246816 13526252692029 13662881507100 13740955115712 14053249550160 14313494912200 14573740274240 15029169657810 15458574505176 15614721722400 16031114301664 16102681776225 16395457808520 17176193894640 17566561937700 18035003589372 18217175342800 18737666066880 19323218131470 19674549370224 20038892877080 20494322260650 20611432673568 21470242368300 21860610411360 22543754486715 22901591859520 23422082583600 24046671452496 24593186712780 25048616096350 25764290841960 26232732493632 27052505384058 27325763014200 28106499100320 28626989824400 30058339315620 30741483390975 30917149010352 31229443444800 32062228603328 32205363552450 32790915617040 34352387789280 35133123875400 36070007178744 36434350685600 37572924144525 38646436262940 39349098740448 40077785754160 40988644521300 41222865347136 42940484736600 43721220822720 45087508973430 46844165167200 48093342904992 48308045328675 49186373425560 50097232192700 51528581683920 54105010768116 54651526028400 56212998200640 57253979648800 60116678631240 61482966781950 61834298020704 64410727104900 65581831234080 67631263460145 68704775578560 70266247750800 72140014357488 72868701371200 75145848289050 77292872525880 78698197480896 80155571508320 81977289042600 85880969473200 90175017946860 93688330334400 96186685809984 96616090657350 98372746851120 100194464385400 103057163367840 108210021536232 109303052056800 112718772433575 114507959297600 120233357262480 122965933563900 123668596041408 128821454209800 131163662468160 135262526920290 140532495501600 144280028714976 150291696578100 154585745051760 160311143016640 163954578085200 171761938946400 180350035893720 193232181314700 196745493702240 200388928770800 206114326735680 216420043072464 218606104113600 225437544867150 240466714524960 245931867127800 257642908419600 270525053840580 281064991003200 288560057429952 300583393156200 309171490103520 327909156170400 338156317300725 343523877892800 360700071787440 386464362629400 393490987404480 400777857541600 432840086144928 450875089734300 480933429049920 491863734255600 515285816839200 541050107681160 601166786312400 618342980207040 655818312340800 676312634601450 721400143574880 772928725258800 801555715083200 865680172289856 901750179468600 983727468511200 1030571633678400 1082100215362320 1202333572624800 1352625269202900 1442800287149760 1545857450517600 1803500358937200 1967454937022400 2164200430724640 2404667145249600 2705250538405800 3091714901035200 3607000717874400 4328400861449280 5410501076811600 7214001435748800 10821002153623200 21642004307246400
- Sum of all divisors σ(n): 98360255088860160
- Sum of proper divisors (its aliquot sum) s(n): 76718250781613760
- 21642004307246400 is an abundant number, because the sum of its proper divisors (76718250781613760) is greater than itself. Its abundance is 55076246474367360
Bases of 21642004307246400
- Binary: 10011001110001101001001110010101111010111111101010000002
- Hexadecimal: 0x4CE349CAF5FD40
- Base-36: 5X3G7IWJIO0
Squares and roots of 21642004307246400
- 21642004307246400 squared (216420043072464002) is 468376350434871729971550312960000
- 21642004307246400 cubed (216420043072464003) is 10136602993523843235783985254812507915833344000000
-
The
square root of 21642004307246400 is 147112216.7165133841 -
The
cube root of 21642004307246400 is 278675.7378682089
Scales and comparisons
How big is 21642004307246400?- 21,642,004,307,246,400 seconds is equal to 688,148,793 years, 44 weeks, 3 days, 12 hours.
-
To count from 1 to 21,642,004,307,246,400 would take you about two billion, sixty-four million, four hundred forty-six thousand, three hundred eighty-one 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 21642004307246400 cubic inches would be around 23223 feet tall.
Recreational maths with 21642004307246400
- 21642004307246400 backwards is 00464270340024612
- 21642004307246400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 21642004307246400's digits is 45
- More coming soon!
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The information we have on file for 21642004307246400 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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