148536936402800

Names of 148536936402800

• Cardinal: 148536936402800 can be written as One hundred forty-eight trillion, five hundred thirty-six billion, nine hundred thirty-six million, four hundred two thousand, eight hundred.

Scientific notation

• Scientific notation: 1.485369364028 × 10¹⁴

Factors of 148536936402800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 31157

Divisors of 148536936402800

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 71 80 88 100 110 121 127 142 176 200 220 242 254 275 284 355 400 440 484 508 550 568 605 635 710 781 880 968 1016 1100 1136 1210 1270 1331 1397 1420 1562 1775 1936 2032 2200 2420 2540 2662 2794 2840 3025 3124 3175 3550 3905 4400 4840 5080 5324 5588 5680 6050 6248 6350 6655 6985 7100 7810 8591 9017 9680 10160 10648 11176 12100 12496 12700 13310 13970 14200 15367 15620 17182 18034 19525 21296 22352 24200 25400 26620 27940 28400 30734 30941 31240 33275 34364 34925 36068 39050 42955 45085 48400 50800 53240 55880 61468 61882 62480 66550 68728 69850 72136 76835 78100 85910 90170 94501 99187 106480 111760 122936 123764 133100 137456 139700 144272 153670 154705 156200 169037 171820 180340 189002 198374 214775 225425 245872 247528 266200 279400 307340 309410 312400 338074 340351 343640 360680 378004 384175 396748 429550 450850 472505 495056 495935 532400 558800 614680 618820 676148 680702 687280 721360 756008 768350 773525 793496 845185 859100 901700 945010 991870 1091057 1229360 1237640 1352296 1361404 1512016 1536700 1547050 1586992 1690370 1701755 1718200 1803400 1890020 1983740 2182114 2196811 2362525 2475280 2479675 2704592 2722808 3073400 3094100 3380740 3403510 3436400 3606800 3743861 3780040 3929507 3967480 4225925 4364228 4393622 4725050 4959350 5445616 5455285 6146800 6188200 6761480 6807020 7487722 7560080 7859014 7934960 8451850 8508775 8728456 8787244 9450100 9918700 10910570 10984055 12001627 12376400 13522960 13614040 14975444 15718028 16903700 17017550 17456912 17574488 18719305 18900200 19647535 19837400 21821140 21968110 24003254 24164921 27228080 27276425 29950888 31436056 33807400 34035100 35148976 37438610 37800400 39295070 39674800 41182471 43224577 43642280 43936220 48006508 48329842 54552850 54920275 59901776 60008135 62872112 67614800 68070200 74877220 78590140 82364942 86449154 87284560 87872440 93596525 96013016 96659684 98237675 109105700 109840550 120016270 120824605 136140400 149754440 157180280 164729884 172898308 175744880 187193050 192026032 193319368 196475350 205912355 216122885 218211400 219681100 240032540 241649210 265814131 278994997 299508880 300040675 314360560 329459768 345796616 374386100 386638736 392950700 411824710 432245770 436422800 439362200 475470347 480065080 483298420 531628262 557989994 600081350 604123025 658919536 691593232 748772200 785901400 823649420 864491540 878724400 950940694 960130160 966596840 1029561775 1063256524 1080614425 1115979988 1200162700 1208246050 1329070655 1394974985 1497544400 1571802800 1647298840 1728983080 1901881388 1933193680 2059123550 2126513048 2161228850 2231959976 2377351735 2400325400 2416492100 2658141310 2789949970 2923955441 3068944967 3294597680 3457966160 3803762776 4118247100 4253026096 4322457700 4463919952 4754703470 4800650800 4832984200 5230173817 5316282620 5579899940 5847910882 6137889934 6645353275 6974874925 7607525552 8236494200 8644915400 9509406940 9665968400 10460347634 10632565240 11159799880 11695821764 11886758675 12275779868 13290706550 13949749850 14619777205 15344724835 16472988400 17289830800 19018813880 20920695268 21265130480 22319599760 23391643528 23773517350 24551559736 26150869085 26581413100 27899499700 29239554410 30689449670 33758394637 38037627760 41841390536 46783287056 47547034700 49103119472 52301738170 53162826200 55798999400 58479108820 61378899340 67516789274 73098886025 76723624175 83682781072 95094069400 104603476340 106325652400 111597998800 116958217640 122757798680 130754345425 135033578548 146197772050 153447248350 168791973185 190188138800 209206952680 233916435280 245515597360 261508690850 270067157096 292395544100 306894496700 337583946370 371342341007 418413905360 523017381700 540134314192 584791088200 613788993400 675167892740 742684682014 843959865925 1046034763400 1169582176400 1227577986800 1350335785480 1485369364028 1687919731850 1856711705035 2092069526800 2700671570960 2970738728056 3375839463700 3713423410070 5941477456112 6751678927400 7426846820140 9283558525175 13503357854800 14853693640280 18567117050350 29707387280560 37134234100700 74268468201400 148536936402800
• Sum of all divisors σ(n): 401194815602688
• Sum of proper divisors (its aliquot sum) s(n): 252657879199888
• 148536936402800 is an abundant number, because the sum of its proper divisors (252657879199888) is greater than itself. Its abundance is 104120942797088

Bases of 148536936402800

• Binary: 100001110001011111110011010101001000111101110000₂
• Hexadecimal: 0x8717F3548F70
• Base-36: 1GNGXCTO4W

Squares and roots of 148536936402800

• 148536936402800 squared (148536936402800²) is 22063221475929451803847840000
• 148536936402800 cubed (148536936402800³) is 3277203325211024133607614350408149952000000
• The square root of 148536936402800 is 12187573.0316909281
• The cube root of 148536936402800 is 52959.6151833691

Scales and comparisons

• 148,536,936,402,800 seconds is equal to 4,723,015 years, 6 weeks, 2 days, 15 hours, 53 minutes, 20 seconds.
• To count from 1 to 148,536,936,402,800 would take you about eleven million, eight hundred seven thousand, five hundred thirty-seven 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 148536936402800 cubic inches would be around 4413.3 feet tall.

Recreational maths with 148536936402800

• 148536936402800 backwards is 008204639635841
• The number of decimal digits it has is: 15
• The sum of 148536936402800's digits is 59
• More coming soon!