138146278394080
138,146,278,394,080 is an even composite number composed of seven prime numbers multiplied together.
138146278394080 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 138146278394080:
25 × 5 × 11 × 17 × 37 × 457 × 273061
(2 × 2 × 2 × 2 × 2 × 5 × 11 × 17 × 37 × 457 × 273061)See below for interesting mathematical facts about the number 138146278394080 from the Numbermatics database.
Names of 138146278394080
- Cardinal: 138146278394080 can be written as One hundred thirty-eight trillion, one hundred forty-six billion, two hundred seventy-eight million, three hundred ninety-four thousand and eighty.
Scientific notation
- Scientific notation: 1.3814627839408 × 1014
Factors of 138146278394080
Divisors of 138146278394080
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 32 34 37 40 44 55 68 74 80 85 88 110 136 148 160 170 176 185 187 220 272 296 340 352 370 374 407 440 457 544 592 629 680 740 748 814 880 914 935 1184 1258 1360 1480 1496 1628 1760 1828 1870 2035 2285 2516 2720 2960 2992 3145 3256 3656 3740 4070 4570 5027 5032 5920 5984 6290 6512 6919 7312 7480 7769 8140 9140 10054 10064 12580 13024 13838 14624 14960 15538 16280 16909 18280 20108 20128 25135 25160 27676 29920 31076 32560 33818 34595 36560 38845 40216 50270 50320 55352 62152 65120 67636 69190 73120 77690 80432 84545 85459 100540 100640 110704 124304 135272 138380 155380 160864 169090 170918 185999 201080 221408 248608 270544 273061 276760 287453 310760 338180 341836 371998 402160 427295 541088 546122 553520 574906 621520 676360 683672 743996 804320 854590 929995 1092244 1107040 1149812 1243040 1352720 1365305 1367344 1437265 1487992 1709180 1859990 2184488 2299624 2705440 2730610 2734688 2874530 2975984 3003671 3161983 3418360 3719980 4368976 4599248 4642037 5461220 5749060 5951968 6007342 6323966 6836720 7439960 8737952 9198496 9284074 10103257 10922440 11498120 12014684 12647932 13673440 14879920 15018355 15809915 18568148 20206514 21844880 22996240 23210185 24029368 25295864 29759840 30036710 31619830 37136296 40413028 43689760 45992480 46420370 48058736 50516285 50591728 51062407 60073420 63239660 74272592 80826056 92840740 96117472 101032570 101183456 102124814 111135827 120146840 124788877 126479320 148545184 161652112 171755369 185681480 202065140 204249628 222271654 240293680 249577754 252958640 255312035 323304224 343510738 371362960 404130280 408499256 444543308 480587360 499155508 505917280 510624070 555679135 623944385 687021476 742725920 808260560 816998512 858776845 889086616 998311016 1021248140 1111358270 1247888770 1372677647 1374042952 1616521120 1633997024 1717553690 1778173232 1889309059 1996622032 2042496280 2121410909 2222716540 2495777540 2745355294 2748085904 3435107380 3556346464 3778618118 3993244064 4084992560 4242821818 4445433080 4617188449 4991555080 5490710588 5496171808 6863388235 6870214760 7557236236 8169985120 8485643636 8890866160 9234376898 9446545295 9983110160 10607054545 10981421176 13726776470 13740429520 15114472472 16971287272 17781732320 18468753796 18893090590 19966220320 21214109090 21962842352 23085942245 23335519999 27453552940 27480859040 30228944944 33942574544 36937507592 37786181180 42428218180 43925684704 46171884490 46671039998 50789072939 54907105880 60457889888 67885149088 73875015184 75572362360 78492203633 84856436360 92343768980 93342079996 101578145878 109814211760 116677599995 147750030368 151144724720 156984407266 169712872720 184687537960 186684159992 203156291756 219628423520 233355199990 253945364695 302289449440 313968814532 339425745440 369375075920 373368319984 392461018165 406312583512 466710399980 507890729390 627937629064 738750151840 746736639968 784922036330 812625167024 863414239963 933420799960 1015781458780 1255875258128 1569844072660 1625250334048 1726828479926 1866841599920 2031562917560 2511750516256 3139688145320 3453656959852 3733683199840 4063125835120 4317071199815 6279376290640 6907313919704 8126251670240 8634142399630 12558752581280 13814627839408 17268284799260 27629255678816 34536569598520 69073139197040 138146278394080
- Sum of all divisors σ(n): 388021591327104
- Sum of proper divisors (its aliquot sum) s(n): 249875312933024
- 138146278394080 is an abundant number, because the sum of its proper divisors (249875312933024) is greater than itself. Its abundance is 111729034538944
Bases of 138146278394080
- Binary: 111110110100100101011111101100111001000111000002
- Hexadecimal: 0x7DA4AFD9C8E0
- Base-36: 1CYVIVBOPS
Squares and roots of 138146278394080
- 138146278394080 squared (1381462783940802) is 19084394234134654623779046400
- 138146278394080 cubed (1381462783940803) is 2636438038851141166878350248688145805312000
-
The
square root of 138146278394080 is 11753564.4973803585 -
The
cube root of 138146278394080 is 51694.7449029547
Scales and comparisons
How big is 138146278394080?- 138,146,278,394,080 seconds is equal to 4,392,624 years, 17 weeks, 4 days, 4 hours, 34 minutes, 40 seconds.
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To count from 1 to 138,146,278,394,080 would take you about ten million, nine hundred eighty-one thousand, five hundred sixty 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 138146278394080 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138146278394080
- 138146278394080 backwards is 080493872641831
- The number of decimal digits it has is: 15
- The sum of 138146278394080's digits is 64
- More coming soon!
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