138468086875350
138,468,086,875,350 is an even composite number composed of five prime numbers multiplied together.
138468086875350 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138468086875350:
2 × 33 × 52 × 313 × 1513
(2 × 3 × 3 × 3 × 5 × 5 × 31 × 31 × 31 × 151 × 151 × 151)See below for interesting mathematical facts about the number 138468086875350 from the Numbermatics database.
Names of 138468086875350
- Cardinal: 138468086875350 can be written as One hundred thirty-eight trillion, four hundred sixty-eight billion, eighty-six million, eight hundred seventy-five thousand, three hundred fifty.
Scientific notation
- Scientific notation: 1.3846808687535 × 1014
Factors of 138468086875350
Divisors of 138468086875350
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 90 93 135 150 151 155 186 225 270 279 302 310 450 453 465 558 675 755 775 837 906 930 961 1350 1359 1395 1510 1550 1674 1922 2265 2325 2718 2790 2883 3775 4077 4185 4530 4650 4681 4805 5766 6795 6975 7550 8154 8370 8649 9362 9610 11325 13590 13950 14043 14415 17298 20385 20925 22650 22801 23405 24025 25947 28086 28830 29791 33975 40770 41850 42129 43245 45602 46810 48050 51894 59582 67950 68403 70215 72075 84258 86490 89373 101925 114005 117025 126387 129735 136806 140430 144150 145111 148955 178746 203850 205209 210645 216225 228010 234050 252774 259470 268119 290222 297910 342015 351075 410418 421290 432450 435333 446865 536238 570025 615627 631935 648675 684030 702150 706831 725555 744775 804357 870666 893730 1026045 1053225 1140050 1231254 1263870 1297350 1305999 1340595 1413662 1451110 1489550 1608714 1710075 2052090 2106450 2120493 2176665 2234325 2611998 2681190 3078135 3159675 3420150 3442951 3534155 3627775 3917997 4021785 4240986 4353330 4468650 4498441 5130225 6156270 6319350 6361479 6529995 6702975 6885902 7068310 7255550 7835994 8043570 8996882 10260450 10328853 10602465 10883325 12722958 13059990 13405950 13495323 15390675 17214755 17670775 19084437 19589985 20108925 20657706 21204930 21766650 21911761 22492205 26990646 30781350 30986559 31807395 32649975 34429510 35341550 38168874 39179970 40217850 40485969 43823522 44984410 51644265 53012325 61973118 63614790 65299950 65735283 67476615 80971938 86073775 92959677 95422185 97949925 103288530 106024650 106731481 109558805 112461025 121457907 131470566 134953230 154932795 159036975 172147550 185919354 190844370 195899850 197205849 202429845 213462962 219117610 224922050 242915814 258221325 309865590 318073950 320194443 328676415 337383075 394411698 404859690 464798385 477110925 516442650 533657405 547794025 591617547 607289535 640388886 657352830 674766150 679264591 774663975 929596770 954221850 960583329 986029245 1012149225 1067314810 1095588050 1183235094 1214579070 1358529182 1549327950 1600972215 1643382075 1921166658 1972058490 2024298450 2037793773 2323991925 2668287025 2881749987 2958087735 3036447675 3201944430 3286764150 3308675911 3396322955 4075587546 4647983850 4802916645 4930146225 5336574050 5763499974 5916175470 6072895350 6113381319 6617351822 6792645910 8004861075 9605833290 9860292450 9926027733 10188968865 12226762638 14408749935 14790438675 16009722150 16543379555 16981614775 18340143957 19852055466 20377937730 24014583225 28817499870 29580877350 29778083199 30566906595 33086759110 33963229550 36680287914 48029166450 49630138665 50944844325 59556166398 61133813190 72043749675 82716897775 89334249597 91700719785 99260277330 101889688650 102568953241 144087499350 148890415995 152834532975 165433795550 178668499194 183401439570 205137906482 248150693325 297780831990 305669065950 307706859723 446671247985 458503598925 496301386650 512844766205 615413719446 744452079975 893342495970 917007197850 923120579169 1025689532410 1488904159950 1538534298615 1846241158338 2233356239925 2564223831025 2769361737507 3077068597230 4466712479850 4615602895845 5128447662050 5538723475014 7692671493075 9231205791690 13846808687535 15385342986150 23078014479225 27693617375070 46156028958450 69234043437675 138468086875350
- Sum of all divisors σ(n): 396903126097920
- Sum of proper divisors (its aliquot sum) s(n): 258435039222570
- 138468086875350 is an abundant number, because the sum of its proper divisors (258435039222570) is greater than itself. Its abundance is 119966952347220
Bases of 138468086875350
- Binary: 111110111101111100111010010000110000100110101102
- Hexadecimal: 0x7DEF9D2184D6
- Base-36: 1D2ZCZSA1I
Squares and roots of 138468086875350
- 138468086875350 squared (1384680868753502) is 19173411082919474926437622500
- 138468086875350 cubed (1384680868753503) is 2654905551526492376622370762822707855375000
-
The
square root of 138468086875350 is 11767246.3590829099 -
The
cube root of 138468086875350 is 51734.8543354069
Scales and comparisons
How big is 138468086875350?- 138,468,086,875,350 seconds is equal to 4,402,856 years, 44 weeks, 2 days, 9 hours, 22 minutes, 30 seconds.
-
To count from 1 to 138,468,086,875,350 would take you about eleven million, seven thousand, one hundred forty-two 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 138468086875350 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138468086875350
- 138468086875350 backwards is 053578680864831
- The number of decimal digits it has is: 15
- The sum of 138468086875350's digits is 72
- More coming soon!
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