13846146123681000

Names of 13846146123681000

• Cardinal: 13846146123681000 can be written as Thirteen quadrillion, eight hundred forty-six trillion, one hundred forty-six billion, one hundred twenty-three million, six hundred eighty-one thousand.

Scientific notation

• Scientific notation: 1.3846146123681 × 10¹⁶

Factors of 13846146123681000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 653

Divisors of 13846146123681000

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 643 648 675 750 810 900 1000 1080 1125 1286 1350 1500 1620 1800 1929 2025 2250 2572 2700 3000 3215 3240 3375 3858 4050 4500 5144 5400 5787 6430 6750 7716 8100 9000 9645 10125 11574 12860 13500 15432 16075 16200 17361 19290 20250 23148 25720 27000 28935 32150 34722 38580 40500 46296 48225 52083 57870 64300 69444 77160 80375 81000 86805 96450 104166 115740 128600 138888 144675 160750 173610 192900 208332 231480 241125 260415 289350 321500 347220 385800 413449 416664 434025 482250 520830 578700 643000 694440 723375 826898 868050 964500 1041660 1157400 1240347 1302075 1446750 1653796 1736100 1929000 2067245 2083320 2170125 2480694 2604150 2893500 3307592 3472200 3721041 4134490 4340250 4961388 5208300 5787000 6201735 6510375 7442082 8268980 8680500 9922776 10336225 10416600 11163123 12403470 13020750 14884164 16537960 17361000 18605205 20672450 22326246 24806940 26041500 29768328 31008675 33489369 37210410 41344900 44652492 49613880 51681125 52083000 55815615 62017350 66978738 74420820 82689800 89304984 93026025 103362250 111631230 124034700 133957476 148841640 155043375 167446845 186052050 206724500 223262460 248069400 265847707 267914952 279078075 310086750 334893690 372104100 413449000 446524920 465130125 531695414 558156150 620173500 669787380 744208200 797543121 837234225 930260250 1063390828 1116312300 1240347000 1329238535 1339574760 1395390375 1595086242 1674468450 1860520500 2126781656 2232624600 2392629363 2658477070 2790780750 3190172484 3348936900 3721041000 3987715605 4186171125 4785258726 5316954140 5581561500 6380344968 6646192675 6697873800 7177888089 7975431210 8372342250 9570517452 10633908280 11163123000 11963146815 13292385350 14355776178 15950862420 16744684500 19141034904 19938578025 21533664267 23926293630 26584770700 28711552356 31901724840 33230963375 33489369000 35889440445 39877156050 43067328534 47852587260 53169541400 57423104712 59815734075 66461926750 71778880890 79754312100 86134657068 95705174520 99692890125 107668321335 119631468150 132923853500 143557761780 159508624200 170940075601 172269314136 179447202225 199385780250 215336642670 239262936300 265847707000 287115523560 299078670375 341880151202 358894404450 398771560500 430673285340 478525872600 512820226803 538341606675 598157340750 683760302404 717788808900 797543121000 854700378005 861346570680 897236011125 1025640453606 1076683213350 1196314681500 1367520604808 1435577617800 1538460680409 1709400756010 1794472022250 2051280907212 2153366426700 2392629363000 2564101134015 2691708033375 3076921360818 3418801512020 3588944044500 4102561814424 4273501890025 4306732853400 4615382041227 5128202268030 5383416066750 6153842721636 6837603024040 7177888089000 7692303402045 8547003780050 9230764082454 10256404536060 10766832133500 12307685443272 12820505670075 13846146123681 15384606804090 17094007560100 18461528164908 20512809072120 21367509450125 21533664267000 23076910206135 25641011340150 27692292247362 30769213608180 34188015120200 36923056329816 38461517010225 42735018900250 46153820412270 51282022680300 55384584494724 61538427216360 64102528350375 69230730618405 76923034020450 85470037800500 92307640824540 102564045360600 110769168989448 115384551030675 128205056700750 138461461236810 153846068040900 170940075601000 184615281649080 192307585051125 230769102061350 256410113401500 276922922473620 307692136081800 346153653092025 384615170102250 461538204122700 512820226803000 553845844947240 576922755153375 692307306184050 769230340204500 923076408245400 1153845510306750 1384614612368100 1538460680409000 1730768265460125 2307691020613500 2769229224736200 3461536530920250 4615382041227000 6923073061840500 13846146123681000
• Sum of all divisors σ(n): 48475362371719140
• Sum of proper divisors (its aliquot sum) s(n): 34629216248038140
• 13846146123681000 is an abundant number, because the sum of its proper divisors (34629216248038140) is greater than itself. Its abundance is 20783070124357140

Bases of 13846146123681000

• Binary: 110001001100001111111100011101001101011100110011101000₂
• Hexadecimal: 0x3130FF1D35CCE8
• Base-36: 3SC1RPT52I0

Squares and roots of 13846146123681000

• 13846146123681000 squared (13846146123681000²) is 191715762478326382148989761000000
• 13846146123681000 cubed (13846146123681000³) is 2654524461487826141968591253880308630241000000000
• The square root of 13846146123681000 is 117669648.2687060639
• The cube root of 13846146123681000 is 240128.0920609059

Scales and comparisons

• 13,846,146,123,681,000 seconds is equal to 440,264,617 years, 41 weeks, 22 hours, 30 minutes.
• To count from 1 to 13,846,146,123,681,000 would take you about one billion, three hundred twenty million, seven hundred ninety-three thousand, eight hundred fifty-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 13846146123681000 cubic inches would be around 20010.7 feet tall.

Recreational maths with 13846146123681000

• 13846146123681000 backwards is 00018632164164831
• 13846146123681000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13846146123681000's digits is 54
• More coming soon!