146900280972120120

Names of 146900280972120120

• Cardinal: 146900280972120120 can be written as One hundred forty-six quadrillion, nine hundred trillion, two hundred eighty billion, nine hundred seventy-two million, one hundred twenty thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.4690028097212012 × 10¹⁷

Factors of 146900280972120120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 28763

Divisors of 146900280972120120

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 73 90 108 120 135 146 180 216 219 270 292 360 365 438 540 584 657 730 876 1080 1095 1314 1460 1752 1971 2190 2628 2777 2920 3285 3942 4380 5256 5554 6570 7884 8331 8760 9855 11108 13140 13885 15768 16662 19710 22216 24993 25903 26280 27770 33324 39420 41655 49986 51806 55540 66648 74979 77709 78840 83310 99972 103612 111080 124965 129515 149958 155418 166620 199944 202721 207224 233127 249930 259030 299916 310836 333240 374895 388545 405442 466254 499860 518060 599832 608163 621672 699381 749790 777090 810884 932508 999720 1013605 1036120 1165635 1216326 1398762 1499580 1554180 1621768 1824489 1865016 1890919 2027210 2331270 2432652 2797524 2999160 3040815 3108360 3496905 3648978 3781838 4054420 4662540 4865304 5473467 5595048 5672757 6081630 6993810 7297956 7563676 8108840 9122445 9325080 9454595 10946934 11345514 12163260 13987620 14595912 15127352 17018271 18244890 18909190 21893868 22691028 24326520 27367335 27975240 28363785 34036542 36489780 37818380 43787736 45382056 51054813 54734670 56727570 68073084 71932631 72979560 75636760 85091355 102109626 109469340 113455140 136146168 143865262 170182710 204219252 215797893 218938680 226910280 255274065 287730524 340365420 359663155 408438504 431595786 510548130 575461048 647393679 670965409 680730840 719326310 863191572 1021096260 1078989465 1294787358 1341930818 1438652620 1726383144 1942181037 2012896227 2042192520 2157978930 2589574716 2683861636 2877305240 3236968395 3354827045 3884362074 4025792454 4315957860 5179149432 5251082063 5367723272 6038688681 6473936790 6709654090 7768724148 8051584908 8631915720 9710905185 10064481135 10502164126 12077377362 12947873580 13419308180 15537448296 15753246189 16103169816 18116066043 19421810370 20128962270 21004328252 24154754724 25895747160 26255410315 26838616360 30193443405 31506492378 36232132086 38843620740 40257924540 42008656504 47259738567 48309509448 48980474857 52510820630 60386886810 63012984756 72464264172 77687241480 78766230945 80515849080 90580330215 94519477134 97960949714 105021641260 120773773620 126025969512 141779215701 144928528344 146941424571 157532461890 181160660430 189038954268 195921899428 210043282520 236298692835 241547547240 244902374285 283558431402 293882849142 315064923780 362321320860 378077908536 391843798856 440824273713 472597385670 489804748570 567116862804 587765698284 630129847560 708896078505 724642641720 734707122855 881648547426 945194771340 979609497140 1134233725608 1175531396568 1322472821139 1417792157010 1469414245710 1763297094852 1863270940793 1890389542680 1959218994280 2204121368565 2644945642278 2835584314020 2938828491420 3526594189704 3726541881586 4408242737130 5289891284556 5589812822379 5671168628040 5877656982840 6612364105695 7453083763172 8816485474260 9316354703965 10579782569112 11179625644758 13224728211390 14906167526344 16769438467137 17632970948520 18632709407930 22359251289516 26449456422780 27949064111895 33538876934274 37265418815860 44718502579032 50308315401411 52898912845560 55898128223790 67077753868548 74530837631720 83847192335685 100616630802822 111796256447580 134155507737096 136018778677889 167694384671370 201233261605644 223592512895160 251541577007055 272037557355778 335388769342740 402466523211288 408056336033667 503083154014110 544075114711556 670777538685480 680093893389445 816112672067334 1006166308028220 1088150229423112 1224169008101001 1360187786778890 1632225344134668 2012332616056440 2040281680168335 2448338016202002 2720375573557780 3264450688269336 3672507024303003 4080563360336670 4896676032404004 5440751147115560 6120845040505005 7345014048606006 8161126720673340 9793352064808008 12241690081010010 14690028097212012 16322253441346680 18362535121515015 24483380162020020 29380056194424024 36725070243030030 48966760324040040 73450140486060060 146900280972120120
• Sum of all divisors σ(n): 496573294305729600
• Sum of proper divisors (its aliquot sum) s(n): 349673013333609480
• 146900280972120120 is an abundant number, because the sum of its proper divisors (349673013333609480) is greater than itself. Its abundance is 202772732361489360

Bases of 146900280972120120

• Binary: 1000001001111001010000011011111000101111111001000000111000₂
• Hexadecimal: 0x209E506F8BF9038
• Base-36: 146FSXFPXY60

Squares and roots of 146900280972120120

• 146900280972120120 squared (146900280972120120²) is 21579692549687836588284727708814400
• 146900280972120120 cubed (146900280972120120³) is 3170062898841110418378916886892333922491979585728000
• The square root of 146900280972120120 is 383275724.4753704983
• The cube root of 146900280972120120 is 527643.8438496319

Scales and comparisons

• 146,900,280,972,120,120 seconds is equal to 4,670,974,542 years, 26 weeks, 3 days, 14 hours, 42 minutes.
• To count from 1 to 146,900,280,972,120,120 would take you about fourteen billion, twelve million, nine hundred twenty-three thousand, six hundred twenty-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 146900280972120120 cubic inches would be around 43970.3 feet tall.

Recreational maths with 146900280972120120

• 146900280972120120 backwards is 021021279082009641
• 146900280972120120 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 146900280972120120's digits is 54
• More coming soon!