137972570413125
137,972,570,413,125 is an odd composite number composed of five prime numbers multiplied together.
137972570413125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 137972570413125:
3 × 54 × 73 × 972 × 1512
(3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 97 × 97 × 151 × 151)See below for interesting mathematical facts about the number 137972570413125 from the Numbermatics database.
Names of 137972570413125
- Cardinal: 137972570413125 can be written as One hundred thirty-seven trillion, nine hundred seventy-two billion, five hundred seventy million, four hundred thirteen thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.37972570413125 × 1014
Factors of 137972570413125
Divisors of 137972570413125
- Number of divisors d(n): 360
-
Complete list of divisors:
1 3 5 7 15 21 25 35 49 75 97 105 125 147 151 175 245 291 343 375 453 485 525 625 679 735 755 875 1029 1057 1225 1455 1715 1875 2037 2265 2425 2625 3171 3395 3675 3775 4375 4753 5145 5285 6125 7275 7399 8575 9409 10185 11325 12125 13125 14259 14647 15855 16975 18375 18875 22197 22801 23765 25725 26425 28227 30625 33271 36375 36995 42875 43941 47045 50925 51793 56625 60625 65863 68403 71295 73235 79275 84875 91875 94375 99813 102529 110985 114005 118825 128625 132125 141135 155379 159607 166355 181875 184975 197589 214375 219705 235225 254625 258965 283125 307587 329315 342015 356475 366175 396375 424375 461041 478821 499065 512645 554925 570025 594125 643125 660625 705675 717703 776895 798035 831775 924875 987945 1098525 1117249 1176125 1273125 1294825 1383123 1420759 1537935 1646575 1710075 1782375 1830875 1981875 2153109 2211697 2305205 2394105 2495325 2563225 2774625 2850125 2970625 3227287 3351747 3528375 3588515 3884475 3990175 4158875 4262277 4624375 4939725 5023921 5492625 5586245 5880625 6474125 6635091 6915615 7103795 7689675 7820743 8232875 8550375 8911875 9154375 9681861 9945313 10765545 11058485 11526025 11970525 12476625 12816125 13873125 14250625 15071763 15481879 16136435 16758735 17641875 17942575 19422375 19950875 20794375 21311385 23462229 24698625 25119605 27463125 27931225 29835939 32370625 33175455 34578075 35518975 38448375 39103715 41164375 42751875 46445637 48409305 49726565 53827725 55292425 57630125 59852625 62383125 64080625 69617191 75358815 77409395 80682175 83793675 89712875 97111875 99754375 106556925 108373153 117311145 123493125 125598025 139656125 149179695 165877275 172890375 177594875 192241875 195518575 208851573 214534609 232228185 242046525 248632825 269138625 276462125 288150625 299263125 325119459 348085955 376794075 387046975 403410875 418968375 448564375 487320337 532784625 541865765 586555725 627990125 643603827 698280625 745898475 758612071 829386375 864451875 887974375 977592875 1044257865 1072673045 1161140925 1210232625 1243164125 1345693125 1382310625 1461961011 1501742263 1625597295 1740429775 1883970375 1935234875 2017054375 2094841875 2275836213 2436601685 2663923125 2709328825 2932778625 3139950625 3218019135 3729492375 3793060355 4146931875 4505226789 4887964375 5221289325 5363365225 5805704625 6051163125 6215820625 7309805055 7508711315 8127986475 8702148875 9419851875 9676174375 10512195841 11379181065 12183008425 13546644125 14663893125 16090095675 18647461875 18965301775 22526133945 26106446625 26816826125 29028523125 31536587523 36549025275 37543556575 40639932375 43510744375 52560979205 56895905325 60915042125 67733220625 73585370887 80450478375 94826508875 112630669725 130532233125 134084130625 157682937615 182745126375 187717782875 203199661875 220756112661 262804896025 284479526625 304575210625 367926854435 402252391875 474132544375 563153348625 788414688075 913725631875 938588914375 1103780563305 1314024480125 1422397633125 1839634272175 2815766743125 3942073440375 5518902816525 6570122400625 9198171360875 19710367201875 27594514082625 45990856804375 137972570413125
- Sum of all divisors σ(n): 272680428081600
- Sum of proper divisors (its aliquot sum) s(n): 134707857668475
- 137972570413125 is a deficient number, because the sum of its proper divisors (134707857668475) is less than itself. Its deficiency is 3264712744650
Bases of 137972570413125
- Binary: 111110101111100001111100000110001011000010001012
- Hexadecimal: 0x7D7C3E0C5845
- Base-36: 1CWNQ22SSL
Squares and roots of 137972570413125
- 137972570413125 squared (1379725704131252) is 19036430186404736133172265625
- 137972570413125 cubed (1379725704131253) is 2626505204308265725224096356020698486328125
-
The
square root of 137972570413125 is 11746172.5857031829 -
The
cube root of 137972570413125 is 51673.0684686467
Scales and comparisons
How big is 137972570413125?- 137,972,570,413,125 seconds is equal to 4,387,100 years, 50 weeks, 3 hours, 38 minutes, 45 seconds.
-
To count from 1 to 137,972,570,413,125 would take you about ten million, nine hundred sixty-seven thousand, seven hundred fifty-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 137972570413125 cubic inches would be around 4306.1 feet tall.
Recreational maths with 137972570413125
- 137972570413125 backwards is 521314075279731
- The number of decimal digits it has is: 15
- The sum of 137972570413125's digits is 57
- More coming soon!
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