146126846033920000

Names of 146126846033920000

• Cardinal: 146126846033920000 can be written as One hundred forty-six quadrillion, one hundred twenty-six trillion, eight hundred forty-six billion, thirty-three million, nine hundred twenty thousand.

Scientific notation

• Scientific notation: 1.4612684603392 × 10¹⁷

Factors of 146126846033920000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 32
• Sum of prime factors: 198

Divisors of 146126846033920000

• Number of divisors d(n): 520
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 191 200 250 256 320 382 400 500 512 625 640 764 800 955 1000 1024 1250 1280 1528 1600 1910 2000 2048 2500 2560 3056 3200 3820 4000 4096 4775 5000 5120 6112 6400 7640 8000 8192 9550 10000 10240 12224 12800 15280 16000 16384 19100 20000 20480 23875 24448 25600 30560 32000 32768 36481 38200 40000 40960 47750 48896 51200 61120 64000 65536 72962 76400 80000 81920 95500 97792 102400 119375 122240 128000 131072 145924 152800 160000 163840 182405 191000 195584 204800 238750 244480 256000 262144 291848 305600 320000 327680 364810 382000 391168 409600 477500 488960 512000 524288 583696 611200 640000 655360 729620 764000 782336 819200 912025 955000 977920 1024000 1048576 1167392 1222400 1280000 1310720 1459240 1528000 1564672 1638400 1824050 1910000 1955840 2048000 2097152 2334784 2444800 2560000 2621440 2918480 3056000 3129344 3276800 3648100 3820000 3911680 4096000 4194304 4560125 4669568 4889600 5120000 5242880 5836960 6112000 6258688 6553600 6967871 7296200 7640000 7823360 8192000 8388608 9120250 9339136 9779200 10240000 10485760 11673920 12224000 12517376 13107200 13935742 14592400 15280000 15646720 16384000 16777216 18240500 18678272 19558400 20480000 20971520 22800625 23347840 24448000 25034752 26214400 27871484 29184800 30560000 31293440 32768000 33554432 34839355 36481000 37356544 39116800 40960000 41943040 45601250 46695680 48896000 50069504 52428800 55742968 58369600 61120000 62586880 65536000 69678710 72962000 74713088 78233600 81920000 83886080 91202500 93391360 97792000 100139008 104857600 111485936 116739200 122240000 125173760 131072000 139357420 145924000 149426176 156467200 163840000 167772160 174196775 182405000 186782720 195584000 200278016 209715200 222971872 233478400 244480000 250347520 262144000 278714840 291848000 298852352 312934400 327680000 348393550 364810000 373565440 391168000 400556032 419430400 445943744 466956800 488960000 500695040 524288000 557429680 583696000 597704704 625868800 655360000 696787100 729620000 747130880 782336000 801112064 838860800 870983875 891887488 933913600 977920000 1001390080 1048576000 1114859360 1167392000 1195409408 1251737600 1310720000 1393574200 1459240000 1494261760 1564672000 1602224128 1741967750 1783774976 1867827200 1955840000 2002780160 2097152000 2229718720 2334784000 2390818816 2503475200 2621440000 2787148400 2918480000 2988523520 3129344000 3204448256 3483935500 3567549952 3735654400 3911680000 4005560320 4194304000 4354919375 4459437440 4669568000 4781637632 5006950400 5242880000 5574296800 5836960000 5977047040 6258688000 6408896512 6967871000 7135099904 7471308800 7823360000 8011120640 8709838750 8918874880 9339136000 9563275264 10013900800 10485760000 11148593600 11673920000 11954094080 12517376000 13935742000 14270199808 14942617600 15646720000 16022241280 17419677500 17837749760 18678272000 19126550528 20027801600 20971520000 22297187200 23347840000 23908188160 25034752000 27871484000 28540399616 29885235200 31293440000 32044482560 34839355000 35675499520 37356544000 38253101056 40055603200 44594374400 46695680000 47816376320 50069504000 55742968000 57080799232 59770470400 62586880000 69678710000 71350999040 74713088000 76506202112 80111206400 89188748800 93391360000 95632752640 100139008000 111485936000 114161598464 119540940800 125173760000 139357420000 142701998080 149426176000 153012404224 160222412800 178377497600 186782720000 191265505280 200278016000 222971872000 228323196928 239081881600 250347520000 278714840000 285403996160 298852352000 306024808448 356754995200 373565440000 382531010560 400556032000 445943744000 456646393856 478163763200 500695040000 557429680000 570807992320 597704704000 612049616896 713509990400 747130880000 765062021120 801112064000 891887488000 913292787712 956327526400 1001390080000 1114859360000 1141615984640 1195409408000 1224099233792 1427019980800 1494261760000 1530124042240 1783774976000 1826585575424 1912655052800 2002780160000 2229718720000 2283231969280 2390818816000 2854039961600 2988523520000 3060248084480 3567549952000 3653171150848 3825310105600 4005560320000 4459437440000 4566463938560 4781637632000 5708079923200 5977047040000 6120496168960 7135099904000 7306342301696 7650620211200 8918874880000 9132927877120 9563275264000 11416159846400 11954094080000 14270199808000 14612684603392 15301240422400 17837749760000 18265855754240 19126550528000 22832319692800 23908188160000 28540399616000 29225369206784 30602480844800 35675499520000 36531711508480 38253101056000 45664639385600 47816376320000 57080799232000 58450738413568 71350999040000 73063423016960 76506202112000 91329278771200 95632752640000 114161598464000 116901476827136 142701998080000 146126846033920 153012404224000 182658557542400 191265505280000 228323196928000 233802953654272 285403996160000 292253692067840 365317115084800 382531010560000 456646393856000 570807992320000 584507384135680 730634230169600 765062021120000 913292787712000 1141615984640000 1169014768271360 1461268460339200 1826585575424000 2283231969280000 2922536920678400 3653171150848000 4566463938560000 5845073841356800 7306342301696000 9132927877120000 14612684603392000 18265855754240000 29225369206784000 36531711508480000 73063423016960000 146126846033920000
• Sum of all divisors σ(n): 367122314248981632
• Sum of proper divisors (its aliquot sum) s(n): 220995468215061632
• 146126846033920000 is an abundant number, because the sum of its proper divisors (220995468215061632) is greater than itself. Its abundance is 74868622181141632

Bases of 146126846033920000

• Binary: 1000000111001001011001011110011110000000000000000000000000₂
• Hexadecimal: 0x20725979E000000
• Base-36: 13YTN6BX8J5S

Squares and roots of 146126846033920000

• 146126846033920000 squared (146126846033920000²) is 21353055131820961233790566400000000
• 146126846033920000 cubed (146126846033920000³) is 3120254599601406931853451097635750412288000000000000
• The square root of 146126846033920000 is 382265413.0756796575
• The cube root of 146126846033920000 is 526716.1930189947

Scales and comparisons

• 146,126,846,033,920,000 seconds is equal to 4,646,381,703 years, 45 weeks, 9 hours, 46 minutes, 40 seconds.
• To count from 1 to 146,126,846,033,920,000 would take you about thirteen billion, nine hundred thirty-nine million, one hundred forty-five thousand, one hundred eleven 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 146126846033920000 cubic inches would be around 43893 feet tall.

Recreational maths with 146126846033920000

• 146126846033920000 backwards is 000029330648621641
• The number of decimal digits it has is: 18
• The sum of 146126846033920000's digits is 55
• More coming soon!