13825248598220800

Names of 13825248598220800

• Cardinal: 13825248598220800 can be written as Thirteen quadrillion, eight hundred twenty-five trillion, two hundred forty-eight billion, five hundred ninety-eight million, two hundred twenty thousand, eight hundred.

Scientific notation

• Scientific notation: 1.38252485982208 × 10¹⁶

Factors of 13825248598220800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 23496764

Divisors of 13825248598220800

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 100 104 128 130 136 160 169 170 200 208 221 256 260 272 320 325 338 340 400 416 425 442 512 520 544 640 650 676 680 800 832 845 850 884 1024 1040 1088 1105 1280 1300 1352 1360 1600 1664 1690 1700 1768 2048 2080 2176 2210 2560 2600 2704 2720 2873 3200 3328 3380 3400 3536 4096 4160 4225 4352 4420 5120 5200 5408 5440 5525 5746 6400 6656 6760 6800 7072 8192 8320 8450 8704 8840 10240 10400 10816 10880 11050 11492 12800 13312 13520 13600 14144 14365 16640 16900 17408 17680 20480 20800 21632 21760 22100 22984 25600 26624 27040 27200 28288 28730 33280 33800 34816 35360 40960 41600 43264 43520 44200 45968 51200 53248 54080 54400 56576 57460 66560 67600 69632 70720 71825 83200 86528 87040 88400 91936 102400 106496 108160 108800 113152 114920 133120 135200 139264 141440 143650 166400 173056 174080 176800 183872 204800 216320 217600 226304 229840 266240 270400 282880 287300 332800 346112 348160 353600 367744 432640 435200 452608 459680 532480 540800 565760 574600 665600 692224 696320 707200 735488 865280 870400 905216 919360 1081600 1131520 1149200 1331200 1384448 1414400 1470976 1730560 1740800 1810432 1838720 2163200 2263040 2298400 2662400 2828800 2941952 3461120 3481600 3677440 4326400 4526080 4596800 5657600 5883904 6922240 7354880 8652800 9052160 9193600 11315200 11767808 14709760 17305600 18387200 22630400 23496727 23535616 29419520 34611200 36774400 45260800 46993454 58839040 73548800 93986908 117483635 117678080 147097600 187973816 234967270 294195200 305457451 375947632 399444359 469934540 587418175 588390400 610914902 751895264 798888718 939869080 1174836350 1221829804 1503790528 1527287255 1597777436 1879738160 1997221795 2349672700 2443659608 3007581056 3054574510 3195554872 3759476320 3970946863 3994443590 4699345400 4887319216 5192776667 6015162112 6109149020 6391109744 7518952640 7636436275 7941893726 7988887180 9398690800 9774638432 9986108975 10385553334 12030324224 12218298040 12782219488 15037905280 15272872550 15883787452 15977774360 18797381600 19549276864 19854734315 19972217950 20771106668 24060648448 24436596080 25564438976 25963883335 30075810560 30545745100 31767574904 31955548720 37594763200 39098553728 39709468630 39944435900 41542213336 48121296896 48873192160 51128877952 51927766670 60151621120 61091490200 63535149808 63911097440 67506096671 75189526400 78197107456 79418937260 79888871800 83084426672 96242593792 97746384320 99273671575 102257755904 103855533340 120303242240 122182980400 127070299616 127822194880 129819416675 135012193342 150379052800 156394214912 158837874520 159777743600 166168853344 192485187584 195492768640 198547343150 204515511808 207711066680 240606484480 244365960800 254140599232 255644389760 259638833350 270024386684 300758105600 312788429824 317675749040 319555487200 332337706688 337530483355 390985537280 397094686300 409031023616 415422133360 481212968960 488731921600 508281198464 511288779520 519277666700 540048773368 601516211200 625576859648 635351498080 639110974400 664675413376 675060966710 781971074560 794189372600 818062047232 830844266720 962425937920 977463843200 1016562396928 1022577559040 1038555333400 1080097546736 1203032422400 1251153719296 1270702996160 1278221948800 1329350826752 1350121933420 1563942149120 1588378745200 1636124094464 1661688533440 1687652416775 1954927686400 2033124793856 2045155118080 2077110666800 2160195093472 2406064844800 2502307438592 2541405992320 2556443897600 2658701653504 2700243866840 3127884298240 3176757490400 3272248188928 3323377066880 3375304833550 3909855372800 4066249587712 4090310236160 4154221333600 4320390186944 4812129689600 5082811984640 5112887795200 5317403307008 5400487733680 6255768596480 6353514980800 6646754133760 6750609667100 7819710745600 8132499175424 8180620472320 8308442667200 8640780373888 10165623969280 10225775590400 10634806614016 10800975467360 12511537192960 12707029961600 13293508267520 13501219334200 15639421491200 16264998350848 16361240944640 16616885334400 17281560747776 20331247938560 20451551180800 21269613228032 21601950934720 25414059923200 26587016535040 27002438668400 31278842982400 32529996701696 33233770668800 34563121495552 40662495877120 40903102361600 42539226456064 43203901869440 50828119846400 53174033070080 54004877336800 62557685964800 66467541337600 69126242991104 81324991754240 81806204723200 86407803738880 101656239692800 106348066140160 108009754673600 132935082675200 138252485982208 162649983508480 172815607477760 203312479385600 212696132280320 216019509347200 265870165350400 276504971964416 345631214955520 406624958771200 432039018694400 531740330700800 553009943928832 691262429911040 813249917542400 864078037388800 1063480661401600 1382524859822080 1728156074777600 2765049719644160 3456312149555200 6912624299110400 13825248598220800
• Sum of all divisors σ(n): 39308467218057936
• Sum of proper divisors (its aliquot sum) s(n): 25483218619837136
• 13825248598220800 is an abundant number, because the sum of its proper divisors (25483218619837136) is greater than itself. Its abundance is 11657970021616336

Bases of 13825248598220800

• Binary: 110001000111011111110110000111101000001110000000000000₂
• Hexadecimal: 0x311DFD87A0E000
• Base-36: 3S4N3IY1FR4

Squares and roots of 13825248598220800

• 13825248598220800 squared (13825248598220800²) is 191137498802606195384925552640000
• 13825248598220800 cubed (13825248598220800³) is 2642523437388161141227171514911526760742912000000
• The square root of 13825248598220800 is 117580817.3054635643
• The cube root of 13825248598220800 is 240007.2254666153

Scales and comparisons

• 13,825,248,598,220,800 seconds is equal to 439,600,141 years, 6 weeks, 2 days, 7 hours, 6 minutes, 40 seconds.
• To count from 1 to 13,825,248,598,220,800 would take you about one billion, three hundred eighteen million, eight hundred thousand, four hundred twenty-three 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 13825248598220800 cubic inches would be around 20000.6 feet tall.

Recreational maths with 13825248598220800

• 13825248598220800 backwards is 00802289584252831
• The number of decimal digits it has is: 17
• The sum of 13825248598220800's digits is 67
• More coming soon!