135148872398100

Names of 135148872398100

• Cardinal: 135148872398100 can be written as One hundred thirty-five trillion, one hundred forty-eight billion, eight hundred seventy-two million, three hundred ninety-eight thousand, one hundred.

Scientific notation

• Scientific notation: 1.351488723981 × 10¹⁴

Factors of 135148872398100

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 730

Divisors of 135148872398100

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 5 6 10 11 12 15 20 22 25 30 31 33 44 50 55 60 62 66 75 93 100 110 124 132 150 155 157 165 186 220 275 300 310 314 330 341 372 465 471 521 550 620 628 660 682 775 785 825 930 942 961 1023 1042 1100 1364 1550 1563 1570 1650 1705 1727 1860 1884 1922 2046 2084 2325 2355 2605 2883 3100 3126 3140 3300 3410 3454 3844 3925 4092 4650 4710 4805 4867 5115 5181 5210 5731 5766 6252 6820 6908 7815 7850 8525 8635 9300 9420 9610 9734 10230 10362 10420 10571 11462 11532 11775 13025 14415 14601 15630 15700 16151 17050 17193 17270 19220 19468 20460 20724 21142 22924 23550 24025 24335 25575 25905 26050 28655 28830 29202 31260 31713 32302 34100 34386 34540 39075 42284 43175 47100 48050 48453 48670 51150 51810 52100 52855 53537 57310 57660 58404 63426 64604 68772 72075 73005 78150 80755 81797 85965 86350 96100 96906 97340 102300 103620 105710 107074 114620 121675 126852 129525 143275 144150 146010 150877 156300 158565 160611 161510 163594 171930 172700 177661 193812 211420 214148 242265 243350 245391 259050 264275 267685 271441 286550 288300 292020 301754 317130 321222 323020 327188 343860 355322 365025 403775 408985 429825 452631 484530 486700 490782 500681 518100 528550 532983 535370 542882 573100 603508 634260 642444 710644 730050 754385 792825 803055 807550 814323 817970 859650 888305 899767 905262 969060 981564 1001362 1057100 1065966 1070740 1085764 1211325 1226955 1338425 1357205 1460100 1502043 1508770 1585650 1606110 1615100 1628646 1635940 1659647 1719300 1776610 1799534 1810524 2002724 2044925 2131932 2263155 2422650 2453910 2503405 2535707 2664915 2676850 2699301 2714410 2985851 3004086 3017540 3171300 3212220 3257292 3319294 3553220 3599068 3771925 4015275 4071615 4089850 4441525 4498835 4526310 4845300 4907820 4978941 5006810 5071414 5329830 5353700 5398602 5428820 5507491 5971702 6008172 6134775 6638588 6786025 7510215 7543850 7607121 8030550 8143230 8179700 8298235 8414671 8883050 8957553 8997670 9052620 9957882 10013620 10142828 10659660 10797204 11014982 11315775 11943404 12269550 12517025 12678535 13324575 13496505 13572050 14929255 15020430 15087700 15214242 16061100 16286460 16522473 16596470 16829342 17766100 17915106 17995340 19915764 20358075 22029964 22494175 22631550 24539100 24894705 25034050 25244013 25357070 26649150 26993010 27144100 27537455 27892777 29858510 30040860 30428484 33044946 33192940 33658684 35830212 37551075 38035605 40716150 41491175 42073355 42616237 44787765 44988350 45263100 49789410 50068100 50488026 50714140 53298300 53986020 55074910 55785554 59717020 63392675 66089892 67482525 74646275 75102150 76071210 78606917 81432300 82612365 82982350 83678331 84146710 85232474 89575530 89976700 92561381 99578820 100976052 110149820 111571108 124473525 126220065 126785350 127848711 134965050 137687275 139463885 149292550 150204300 152142420 157213834 165224730 165964700 167356662 168293420 170464948 179151060 185122762 190178025 210366775 213081185 223938825 235820751 248947050 252440130 253570700 255697422 260854801 269930100 275374550 277684143 278927770 298585100 314427668 330449460 334713324 370245524 380356050 393034585 413061825 418391655 420733550 426162370 447877650 462806905 468778607 471641502 497894100 504880260 511394844 521709602 550749100 555368286 557855540 631100325 639243555 697319425 760712100 782564403 786069170 826123650 836783310 841467100 852324740 864676087 895755300 925613810 937557214 943283004 1043419204 1065405925 1110736572 1179103755 1262200650 1278487110 1304274005 1321103347 1388420715 1394638850 1406335821 1565128806 1572138340 1652247300 1673566620 1729352174 1851227620 1875114428 1965172925 2091958275 2130811850 2314034525 2343893035 2358207510 2524401300 2556974220 2594028261 2608548010 2642206694 2776841430 2789277700 2812671642 2869402811 3130257612 3196217775 3458704348 3912822015 3930345850 3963310041 4183916550 4261623700 4323380435 4628069050 4687786070 4716415020 5188056522 5217096020 5284413388 5553682860 5625343284 5738805622 5895518775 6392435550 6521370025 6605516735 6942103575 7031679105 7825644030 7860691700 7926620082 8367833100 8608208433 8646760870 9256138100 9375572140 10376113044 11477611244 11719465175 11791037550 12784871100 12970141305 13042740050 13211033470 13884207150 14063358210 14347014055 14532136817 15651288060 15853240164 17216416866 17293521740 19564110075 19816550205 21616902175 23438930350 23582075100 25940282610 26085480100 26422066940 27768414300 28126716420 28694028110 29064273634 33027583675 34432833732 35158395525 39128220150 39633100410 40954203757 43041042165 43233804350 43596410451 46877860700 51880565220 57388056220 58128547268 64850706525 66055167350 70316791050 71735070275 72660684085 78256440300 79266200820 81908407514 86082084330 86467608700 87192820902 99082751025 122862611271 129701413050 132110334700 140633582100 143470140550 145321368170 163816815028 172164168660 174385641804 198165502050 204771018785 215205210825 217982052255 245725222542 259402826100 286940281100 290642736340 363303420425 396331004100 409542037570 430410421650 435964104510 450496241327 491450445084 614313056355 726606840850 819084075140 860820843300 871928209020 900992482654 1023855093925 1089910261275 1228626112710 1351488723981 1453213681700 1801984965308 2047710187850 2179820522550 2252481206635 2457252225420 2702977447962 3071565281775 4095420375700 4359641045100 4504962413270 5405954895924 6143130563550 6757443619905 9009924826540 11262406033175 12286261127100 13514887239810 22524812066350 27029774479620 33787218099525 45049624132700 67574436199050 135148872398100
• Sum of all divisors σ(n): 444444084195552
• Sum of proper divisors (its aliquot sum) s(n): 309295211797452
• 135148872398100 is an abundant number, because the sum of its proper divisors (309295211797452) is greater than itself. Its abundance is 174146339399352

Bases of 135148872398100

• Binary: 11110101110101011001100100001111111010100010100₂
• Hexadecimal: 0x7AEACC87F514
• Base-36: 1BWMJ96O7O

Squares and roots of 135148872398100

• 135148872398100 squared (135148872398100²) is 18265217710477916044883610000
• 135148872398100 cubed (135148872398100³) is 2468523577676896104917979640256085141000000
• The square root of 135148872398100 is 11625354.7213880747
• The cube root of 135148872398100 is 51318.1283781829

Scales and comparisons

• 135,148,872,398,100 seconds is equal to 4,297,316 years, 5 weeks, 1 day, 3 hours, 55 minutes.
• To count from 1 to 135,148,872,398,100 would take you about ten million, seven hundred forty-three thousand, two hundred ninety 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 135148872398100 cubic inches would be around 4276.5 feet tall.

Recreational maths with 135148872398100

• 135148872398100 backwards is 001893278841531
• 135148872398100 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 135148872398100's digits is 60
• More coming soon!