138462511348350
138,462,511,348,350 is an even composite number composed of six prime numbers multiplied together.
What does the number 138462511348350 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
138462511348350 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138462511348350:
2 × 35 × 52 × 7 × 432 × 880483
(2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 43 × 43 × 880483)See below for interesting mathematical facts about the number 138462511348350 from the Numbermatics database.
Names of 138462511348350
- Cardinal: 138462511348350 can be written as One hundred thirty-eight trillion, four hundred sixty-two billion, five hundred eleven million, three hundred forty-eight thousand, three hundred fifty.
Scientific notation
- Scientific notation: 1.3846251134835 × 1014
Factors of 138462511348350
Divisors of 138462511348350
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 43 45 50 54 63 70 75 81 86 90 105 126 129 135 150 162 175 189 210 215 225 243 258 270 301 315 350 378 387 405 430 450 486 525 567 602 630 645 675 774 810 903 945 1050 1075 1134 1161 1215 1290 1350 1505 1575 1701 1806 1849 1890 1935 2025 2150 2322 2430 2709 2835 3010 3150 3225 3402 3483 3698 3870 4050 4515 4725 5418 5547 5670 5805 6075 6450 6966 7525 8127 8505 9030 9245 9450 9675 10449 11094 11610 12150 12943 13545 14175 15050 16254 16641 17010 17415 18490 19350 20898 22575 24381 25886 27090 27735 28350 29025 33282 34830 38829 40635 42525 45150 46225 48762 49923 52245 55470 58050 64715 67725 73143 77658 81270 83205 85050 87075 92450 99846 104490 116487 121905 129430 135450 138675 146286 149769 166410 174150 194145 203175 232974 243810 249615 261225 277350 299538 323575 349461 365715 388290 406350 416025 449307 499230 522450 582435 609525 647150 698922 731430 748845 832050 880483 898614 970725 1048383 1164870 1219050 1248075 1497690 1747305 1760966 1828575 1941450 2096766 2246535 2496150 2641449 2912175 3145149 3494610 3657150 3744225 4402415 4493070 5241915 5282898 5824350 6163381 6290298 7488450 7924347 8736525 8804830 10483830 11232675 12326762 13207245 15725745 15848694 17473050 18490143 22012075 22465350 23773041 26209575 26414490 30816905 31451490 36980286 37860769 39621735 44024150 47546082 52419150 55470429 61633810 66036225 71319123 75721538 78628725 79243470 92450715 110940858 113582307 118865205 132072450 142638246 154084525 157257450 166411287 184901430 189303845 198108675 213957369 227164614 237730410 265025383 277352145 308169050 332822574 340746921 356595615 378607690 396217350 427914738 462253575 499233861 530050766 554704290 567911535 594326025 681493842 713191230 795076149 832056435 924507150 946519225 998467722 1022240763 1069786845 1135823070 1188652050 1325126915 1386760725 1497701583 1590152298 1628013067 1664112870 1703734605 1782978075 1893038450 2044481526 2139573690 2385228447 2496169305 2650253830 2773521450 2839557675 2995403166 3066722289 3256026134 3407469210 3565956150 3975380745 4160282175 4770456894 4884039201 4992338610 5111203815 5348934225 5679115350 6133444578 6625634575 7155685341 7488507915 7950761490 8140065335 8320564350 8518673025 9200166867 9768078402 10222407630 10697868450 11396091469 11926142235 12480846525 13251269150 14311370682 14652117603 14977015830 15333611445 16280130670 17037346050 18400333734 19876903725 21467056023 22792182938 23852284470 24420196005 24961693050 25556019075 29304235206 30667222890 34188274407 35778426705 37442539575 39753807450 40700326675 42934112046 43956352809 46000834335 48840392010 51112038150 56980457345 59630711175 64401168069 68376548814 71556853410 73260588015 74885079150 76668057225 81400653350 87912705618 92001668670 102564823221 107335280115 113960914690 119261422350 122100980025 128802336138 131869058427 146521176030 153336114450 170941372035 178892133525 205129646442 214670560230 219781764045 230004171675 244201960050 263738116854 284902286725 307694469663 322005840345 341882744070 357784267050 366302940075 395607175281 439563528090 460008343350 512824116105 536676400575 569804573450 615388939326 644011680690 659345292135 732605880150 791214350562 854706860175 923083408989 1025648232210 1073352801150 1098908820225 1318690584270 1538472348315 1610029201725 1709413720350 1846166817978 1978035876405 2197817640450 2564120580525 2769250226967 3076944696630 3220058403450 3296726460675 3956071752810 4615417044945 5128241161050 5538500453934 6593452921350 7692361741575 9230834089890 9890179382025 13846251134835 15384723483150 19780358764050 23077085224725 27692502269670 46154170449450 69231255674175 138462511348350
- Sum of all divisors σ(n): 451384250308992
- Sum of proper divisors (its aliquot sum) s(n): 312921738960642
- 138462511348350 is an abundant number, because the sum of its proper divisors (312921738960642) is greater than itself. Its abundance is 174459227612292
Bases of 138462511348350
- Binary: 111110111101110010100001100110110111010011111102
- Hexadecimal: 0x7DEE50CDBA7E
- Base-36: 1D2WSS9DVI
Squares and roots of 138462511348350
- 138462511348350 squared (1384625113483502) is 19171867048891952535047722500
- 138462511348350 cubed (1384625113483503) is 2654584858826259402177034827765071632875000
-
The
square root of 138462511348350 is 11767009.4479587293 -
The
cube root of 138462511348350 is 51734.1599444819
Scales and comparisons
How big is 138462511348350?- 138,462,511,348,350 seconds is equal to 4,402,679 years, 29 weeks, 3 days, 19 hours, 52 minutes, 30 seconds.
-
To count from 1 to 138,462,511,348,350 would take you about eleven million, six thousand, six hundred ninety-eight 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 138462511348350 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138462511348350
- 138462511348350 backwards is 053843115264831
- 138462511348350 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138462511348350's digits is 54
- More coming soon!
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