42164313971400
42,164,313,971,400 is an even composite number composed of six prime numbers multiplied together.
42164313971400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 42164313971400:
23 × 33 × 52 × 53 × 281 × 524287
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 53 × 281 × 524287)See below for interesting mathematical facts about the number 42164313971400 from the Numbermatics database.
Names of 42164313971400
- Cardinal: 42164313971400 can be written as Forty-two trillion, one hundred sixty-four billion, three hundred thirteen million, nine hundred seventy-one thousand, four hundred.
Scientific notation
- Scientific notation: 4.21643139714 × 1013
Factors of 42164313971400
Divisors of 42164313971400
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 53 54 60 72 75 90 100 106 108 120 135 150 159 180 200 212 216 225 265 270 281 300 318 360 424 450 477 530 540 562 600 636 675 795 843 900 954 1060 1080 1124 1272 1325 1350 1405 1431 1590 1686 1800 1908 2120 2248 2385 2529 2650 2700 2810 2862 3180 3372 3816 3975 4215 4770 5058 5300 5400 5620 5724 6360 6744 7025 7155 7587 7950 8430 9540 10116 10600 11240 11448 11925 12645 14050 14310 14893 15174 15900 16860 19080 20232 21075 23850 25290 28100 28620 29786 30348 31800 33720 35775 37935 42150 44679 47700 50580 56200 57240 59572 60696 63225 71550 74465 75870 84300 89358 95400 101160 119144 126450 134037 143100 148930 151740 168600 178716 189675 223395 252900 268074 286200 297860 303480 357432 372325 379350 402111 446790 505800 524287 536148 595720 670185 744650 758700 804222 893580 1048574 1072296 1116975 1340370 1489300 1517400 1572861 1608444 1787160 2010555 2097148 2233950 2621435 2680740 2978600 3145722 3216888 3350925 4021110 4194296 4467900 4718583 5242870 5361480 6291444 6701850 7864305 8042220 8935800 9437166 10052775 10485740 12582888 13107175 13403700 14155749 15728610 16084440 18874332 20105550 20971480 23592915 26214350 26807400 27787211 28311498 31457220 37748664 39321525 40211100 47185830 52428700 55574422 56622996 62914440 70778745 78643050 80422200 83361633 94371660 104857400 111148844 113245992 117964575 138936055 141557490 147324647 157286100 166723266 188743320 222297688 235929150 250084899 277872110 283114980 294649294 314572200 333446532 353893725 416808165 441973941 471858300 500169798 555744220 566229960 589298588 666893064 694680275 707787450 736623235 750254697 833616330 883947882 943716600 1000339596 1111488440 1178597176 1250424495 1325921823 1389360550 1415574900 1473246470 1500509394 1667232660 1767895764 2000679192 2084040825 2209869705 2500848990 2651843646 2778721100 2831149800 2946492940 3001018788 3334465320 3535791528 3683116175 3751273485 3977765469 4168081650 4419739410 5001697980 5303687292 5557442200 5892985880 6002037576 6252122475 6629609115 7366232350 7502546970 7808206291 7955530938 8336163300 8839478820 10003395960 10607374584 11049348525 12504244950 13259218230 14732464700 15005093940 15616412582 15911061876 16672326600 17678957640 18756367425 19888827345 22098697050 23424618873 25008489900 26518436460 29464929400 30010187880 31232825164 31822123752 33148045575 37512734850 39041031455 39777654690 44197394100 46849237746 50016979800 53036872920 62465650328 66296091150 70273856619 75025469700 78082062910 79555309380 88394788200 93698475492 99444136725 117123094365 132592182300 140547713238 150050939400 156164125820 159110618760 187396950984 195205157275 198888273450 210821569857 234246188730 265184364600 281095426476 312328251640 351369283095 390410314550 397776546900 421643139714 468492377460 562190852952 585615471825 702738566190 780820629100 795553093800 843286279428 936984754920 1054107849285 1171230943650 1405477132380 1561641258200 1686572558856 1756846415475 2108215698570 2342461887300 2810954264760 3513692830950 4216431397140 4684923774600 5270539246425 7027385661900 8432862794280 10541078492850 14054771323800 21082156985700 42164313971400
- Sum of all divisors σ(n): 148499752550400
- Sum of proper divisors (its aliquot sum) s(n): 106335438579000
- 42164313971400 is an abundant number, because the sum of its proper divisors (106335438579000) is greater than itself. Its abundance is 64171124607600
Bases of 42164313971400
- Binary: 10011001011001001001001111010011011010110010002
- Hexadecimal: 0x265924F4DAC8
- Base-36: EY20NVZ60
Squares and roots of 42164313971400
- 42164313971400 squared (421643139714002) is 1777829372678797240017960000
- 42164313971400 cubed (421643139714003) is 74960955857205907911837030014926344000000
-
The
square root of 42164313971400 is 6493405.4217644535 -
The
cube root of 42164313971400 is 34805.5376012357
Scales and comparisons
How big is 42164313971400?- 42,164,313,971,400 seconds is equal to 1,340,694 years, 39 weeks, 4 days, 4 hours, 30 minutes.
-
To count from 1 to 42,164,313,971,400 would take you about three million, three hundred fifty-one thousand, seven hundred thirty-six 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 42164313971400 cubic inches would be around 2900.5 feet tall.
Recreational maths with 42164313971400
- 42164313971400 backwards is 00417931346124
- 42164313971400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42164313971400's digits is 45
- More coming soon!
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