218142318384990
218,142,318,384,990 is an even composite number composed of seven prime numbers multiplied together.
218142318384990 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 218142318384990:
2 × 35 × 5 × 17 × 131 × 2729 × 14771
(2 × 3 × 3 × 3 × 3 × 3 × 5 × 17 × 131 × 2729 × 14771)See below for interesting mathematical facts about the number 218142318384990 from the Numbermatics database.
Names of 218142318384990
- Cardinal: 218142318384990 can be written as Two hundred eighteen trillion, one hundred forty-two billion, three hundred eighteen million, three hundred eighty-four thousand, nine hundred ninety.
Scientific notation
- Scientific notation: 2.1814231838499 × 1014
Factors of 218142318384990
Divisors of 218142318384990
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 131 135 153 162 170 243 255 262 270 306 393 405 459 486 510 655 765 786 810 918 1179 1215 1310 1377 1530 1965 2227 2295 2358 2430 2729 2754 3537 3930 4131 4454 4590 5458 5895 6681 6885 7074 8187 8262 10611 11135 11790 13362 13645 13770 14771 16374 17685 20043 20655 21222 22270 24561 27290 29542 31833 33405 35370 40086 40935 41310 44313 46393 49122 53055 60129 63666 66810 73683 73855 81870 88626 92786 100215 106110 120258 122805 132939 139179 147366 147710 159165 180387 200430 221049 221565 231965 245610 251107 265878 278358 300645 318330 357499 360774 368415 398817 417537 442098 443130 463930 502214 541161 601290 663147 664695 695895 714998 736830 753321 797634 835074 901935 1072497 1082322 1105245 1196451 1252611 1255535 1326294 1329390 1391790 1506642 1787495 1803870 1935001 1994085 2087685 2144994 2210490 2259963 2392902 2505222 2511070 2705805 3217491 3315735 3574990 3589353 3757833 3766605 3870002 3988170 4175370 4519926 5362485 5411610 5805003 5982255 6077483 6263055 6434982 6631470 6779889 7178706 7515666 7533210 9652473 9675005 10724970 11273499 11299815 11610006 11964510 12154966 12526110 13559778 16087455 17415009 17946765 18232449 18789165 19304946 19350010 20339667 22546998 22599630 28957419 29025015 30387415 32174910 32895017 33899445 34830018 35893530 36464898 37578330 40310059 40679334 48262365 52245027 54697347 56367495 57914838 58050030 60774830 61019001 65790034 67798890 80620118 86872257 87075045 91162245 96524730 98685051 101698335 104490054 109394694 112734990 120930177 122038002 144787095 156735081 164092041 164475085 173744514 174150090 182324490 197370102 201550295 203396670 241860354 261225135 273486735 289574190 296055153 305095005 313470162 328184082 328950170 362790531 403100590 434361285 470205243 492276123 493425255 522450270 546973470 592110306 604650885 610190010 685271003 725581062 783675405 820460205 868722570 888165459 940410486 984552246 986850510 1088371593 1209301770 1370542006 1476828369 1480275765 1567350810 1640920410 1776330918 1813952655 2055813009 2176743186 2351026215 2461380615 2664496377 2953656738 2960551530 3265114779 3426355015 3627905310 4111626018 4440827295 4702052430 4922761230 5280617729 5328992754 5441857965 6167439027 6530229558 6852710030 7384141845 7993489131 8881654590 9795344337 10279065045 10561235458 10883715930 12334878054 13322481885 14768283690 15841853187 15986978262 16325573895 18502317081 19590688674 20558130090 26403088645 26644963770 30837195135 31683706374 32651147790 37004634162 39967445655 47525559561 48976721685 52806177290 55506951243 61674390270 79209265935 79934891310 89770501393 92511585405 95051119122 97953443370 111013902486 142576678683 158418531870 166520853729 179541002786 185023170810 237627797805 269311504179 277534756215 285153357366 333041707458 427730036049 448852506965 475255595610 538623008358 555069512430 712883393415 807934512537 832604268645 855460072098 897705013930 1283190108147 1346557520895 1425766786830 1615869025074 1665208537290 2138650180245 2423803537611 2566380216294 2693115041790 4039672562685 4277300360490 4847607075222 6415950540735 7271410612833 8079345125370 12119017688055 12831901081470 14542821225666 21814231838499 24238035376110 36357053064165 43628463676998 72714106128330 109071159192495 218142318384990
- Sum of all divisors σ(n): 627801387333120
- Sum of proper divisors (its aliquot sum) s(n): 409659068948130
- 218142318384990 is an abundant number, because the sum of its proper divisors (409659068948130) is greater than itself. Its abundance is 191516750563140
Bases of 218142318384990
- Binary: 1100011001100110001101110110010111010111010111102
- Hexadecimal: 0xC6663765D75E
- Base-36: 25BP743JVI
Squares and roots of 218142318384990
- 218142318384990 squared (2181423183849902) is 47586071070378346161857300100
- 218142318384990 cubed (2181423183849903) is 10380535866125235070138914117889073765499000
-
The
square root of 218142318384990 is 14769641.7825548497 -
The
cube root of 218142318384990 is 60197.7106064339
Scales and comparisons
How big is 218142318384990?- 218,142,318,384,990 seconds is equal to 6,936,250 years, 50 weeks, 1 day, 16 hours, 16 minutes, 30 seconds.
-
To count from 1 to 218,142,318,384,990 would take you about seventeen million, three hundred forty thousand, six hundred twenty-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 218142318384990 cubic inches would be around 5016.5 feet tall.
Recreational maths with 218142318384990
- 218142318384990 backwards is 099483813241812
- The number of decimal digits it has is: 15
- The sum of 218142318384990's digits is 63
- More coming soon!
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