12627968447264100
12,627,968,447,264,100 is an even composite number composed of six prime numbers multiplied together.
What does the number 12627968447264100 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
12627968447264100 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 12627968447264100:
22 × 3 × 52 × 72 × 2273 × 2712
(2 × 2 × 3 × 5 × 5 × 7 × 7 × 227 × 227 × 227 × 271 × 271)See below for interesting mathematical facts about the number 12627968447264100 from the Numbermatics database.
Names of 12627968447264100
- Cardinal: 12627968447264100 can be written as Twelve quadrillion, six hundred twenty-seven trillion, nine hundred sixty-eight billion, four hundred forty-seven million, two hundred sixty-four thousand, one hundred.
Scientific notation
- Scientific notation: 1.26279684472641 × 1016
Factors of 12627968447264100
Divisors of 12627968447264100
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 227 245 271 294 300 350 420 454 490 525 542 588 681 700 735 813 908 980 1050 1084 1135 1225 1355 1362 1470 1589 1626 1897 2100 2270 2450 2710 2724 2940 3178 3252 3405 3675 3794 4065 4540 4767 4900 5420 5675 5691 6356 6775 6810 7350 7588 7945 8130 9485 9534 11123 11350 11382 13279 13550 13620 14700 15890 16260 17025 18970 19068 20325 22246 22700 22764 23835 26558 27100 28455 31780 33369 34050 37940 39725 39837 40650 44492 47425 47670 51529 53116 55615 56910 61517 66395 66738 68100 73441 79450 79674 81300 94850 95340 103058 111230 113820 119175 123034 132790 133476 142275 146882 154587 158900 159348 166845 184551 189700 199185 206116 220323 222460 238350 246068 257645 265580 278075 284550 293764 307585 309174 331975 333690 360703 367205 369102 398370 430619 440646 476700 514087 515290 556150 569100 615170 618348 663950 667380 721406 734410 738204 772935 796740 834225 861238 881292 922755 995925 1028174 1030580 1082109 1101615 1112300 1230340 1288225 1291857 1327900 1442812 1468820 1537925 1542261 1545870 1668450 1722476 1803515 1836025 1845510 1991850 2056348 2153095 2164218 2203230 2524921 2570435 2576450 2583714 3014333 3075850 3084522 3091740 3336900 3598609 3607030 3672050 3691020 3864675 3983700 4306190 4328436 4406460 4613775 5049842 5140870 5152900 5167428 5410545 5508075 6028666 6151700 6169044 6459285 7197218 7214060 7344100 7574763 7711305 7729350 8612380 9017575 9042999 9227550 10099684 10281740 10765475 10795827 10821090 11016150 11697083 12057332 12624605 12852175 12918570 13964359 14394436 15071665 15149526 15422610 15458700 16671107 17993045 18035150 18085998 18455100 21530950 21591654 21642180 22032300 23394166 25249210 25704350 25837140 27052725 27928718 30143330 30299052 30845220 32296425 33342214 35091249 35986090 36070300 36171996 37873815 38556525 41893077 43061900 43183308 45214995 46788332 50013321 50498420 51408700 53979135 54105450 55857436 58485415 60286660 63123025 64592850 66684428 69821795 70182498 71972180 75358325 75747630 77113050 81879581 83355535 83786154 89965225 90429990 97750513 100026642 107958270 108210900 116697749 116970830 126246050 129185700 139643590 140364996 150716650 151495260 154226100 163759162 166711070 167572308 175456245 179930450 180859980 189369075 195501026 200053284 209465385 215916540 226074975 233395498 233941660 245638743 250066605 252492100 269895675 279287180 292427075 293251539 301433300 327518324 333422140 349108975 350093247 350912490 359860900 378738150 391002052 409397905 416777675 418930770 452149950 466790996 488752565 491277486 500133210 539791350 573157067 583488745 584854150 586503078 684253591 698217950 700186494 701824980 757476300 816884243 818795810 833555350 837861540 877281225 904299900 977505130 982554972 1000266420 1047326925 1079582700 1146314134 1166977490 1169708300 1173006156 1228193715 1250333025 1368507182 1396435900 1400372988 1466257695 1633768486 1637591620 1667110700 1719471201 1750466235 1754562450 1955010260 2046989525 2052760773 2094653850 2292628268 2333954980 2443762825 2450652729 2456387430 2500666050 2737014364 2865785335 2917443725 2932515390 3169909493 3267536972 3421267955 3438942402 3500932470 3509124900 3784341289 4084421215 4093979050 4105521546 4189307700 4887525650 4901305458 4912774860 5001332100 5731570670 5834887450 5865030780 6140968575 6339818986 6842535910 6877884804 7001864940 7331288475 7568682578 8168842430 8187958100 8211043092 8597356005 8752331175 9509728479 9775051300 9802610916 10263803865 11353023867 11463141340 11669774900 12253263645 12281937150 12679637972 13685071820 14328926675 14662576950 15137365156 15849547465 16337684860 17106339775 17194712010 17504662350 18921706445 19019456958 20422106075 20527607730 22189366451 22706047734 24506527290 24563874300 26490389023 28657853350 29325153900 31699094930 34212679550 34389424020 35009324700 37843412890 38038913916 40844212150 41055215460 42986780025 44378732902 45412095468 47548642395 49013054580 51319019325 52980778046 56765119335 57315706700 61266318225 63398189860 66568099353 68425359100 75686825780 79247737325 79471167069 81688424300 85973560050 88757465804 94608532225 95097284790 102638038650 105961556092 110946832255 113530238670 122532636450 132451945115 133136198706 155325565157 158495474650 158942334138 171947120100 185432723161 189217064450 190194569580 205276077300 221893664510 227060477340 237743211975 245065272900 264903890230 266272397412 283825596675 310651130314 316990949300 317884668276 332840496765 370865446322 378434128900 397355835345 443787329020 465976695471 475486423950 529807780460 554734161275 556298169483 567651193350 621302260628 662259725575 665680993530 741730892644 776627825785 794711670690 859045472603 927163615805 931953390942 950972847900 1109468322550 1112596338966 1135302386700 1324519451150 1331361987060 1553255651570 1589423341380 1664202483825 1718090945206 1854327231610 1863906781884 1986779176725 2218936645100 2225192677932 2329883477355 2577136417809 2649038902300 2781490847415 3106511303140 3328404967650 3436181890412 3708654463220 3883139128925 3973558353450 4295227363015 4635818079025 4659766954710 5154272835618 5562981694830 6013318308221 6656809935300 7766278257850 7947116706900 8590454726030 9271636158050 9319533909420 10308545671236 11125963389660 11649417386775 12026636616442 12885682089045 13907454237075 15532556515700 17180909452060 18039954924663 18543272316100 21476136815075 23298834773550 24053273232884 25771364178090 27814908474150 30066591541105 36079909849326 42093228157547 42952273630150 46597669547100 51542728356180 55629816948300 60133183082210 64428410445225 72159819698652 84186456315094 85904547260300 90199774623315 120266366164420 126279684472641 128856820890450 150332957705525 168372912630188 180399549246630 210466140787735 252559368945282 257713641780900 300665915411050 360799098493260 420932281575470 450998873116575 505118737890564 601331830822100 631398422363205 841864563150940 901997746233150 1052330703938675 1262796844726410 1803995492466300 2104661407877350 2525593689452820 3156992111816025 4209322815754700 6313984223632050 12627968447264100
- Sum of all divisors σ(n): 42848306010709920
- Sum of proper divisors (its aliquot sum) s(n): 30220337563445820
- 12627968447264100 is an abundant number, because the sum of its proper divisors (30220337563445820) is greater than itself. Its abundance is 17592369116181720
Bases of 12627968447264100
- Binary: 1011001101110100010010000001011000100010110101011001002
- Hexadecimal: 0x2CDD120588B564
- Base-36: 3GC8OM90MZO
Squares and roots of 12627968447264100
- 12627968447264100 squared (126279684472641002) is 159465587105097684742775148810000
- 12627968447264100 cubed (126279684472641003) is 2013726402387618497338974188928976514870721000000
-
The
square root of 12627968447264100 is 112374233.9118007069 -
The
cube root of 12627968447264100 is 232868.7235800441
Scales and comparisons
How big is 12627968447264100?- 12,627,968,447,264,100 seconds is equal to 401,530,335 years, 39 weeks, 16 hours, 55 minutes.
-
To count from 1 to 12,627,968,447,264,100 would take you about one billion, two hundred four million, five hundred ninety-one thousand and seven 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 12627968447264100 cubic inches would be around 19405.7 feet tall.
Recreational maths with 12627968447264100
- 12627968447264100 backwards is 00146274486972621
- The number of decimal digits it has is: 17
- The sum of 12627968447264100's digits is 69
- More coming soon!
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The information we have on file for 12627968447264100 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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