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140022320200420 = 22572936379482611
BaseRepresentation
bin11111110101100101111100…
…101001111111101011100100
3200100210000002020122012110211
4133311211330221333223210
5121323111202432403140
61213445211010225204
741331164424616510
oct3765457451775344
9610700066565424
10140022320200420
1140685150419179
121385531b885204
1360190819b3b98
14268118b7bd140
15112c47dcb92ea
hex7f597ca7fae4

140022320200420 has 96 divisors (see below), whose sum is σ = 347737243956480. Its totient is φ = 46339466826240.

The previous prime is 140022320200409. The next prime is 140022320200453. The reversal of 140022320200420 is 24002023220041.

It is a junction number, because it is equal to n+sod(n) for n = 140022320200391 and 140022320200400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10024915 + ... + 19507525.

It is an arithmetic number, because the mean of its divisors is an integer number (3622262957880).

Almost surely, 2140022320200420 is an apocalyptic number.

140022320200420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140022320200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173868621978240).

140022320200420 is an abundant number, since it is smaller than the sum of its proper divisors (207714923756060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140022320200420 is a wasteful number, since it uses less digits than its factorization.

140022320200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9486293 (or 9486291 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 140022320200420 its reverse (24002023220041), we get a palindrome (164024343420461).

The spelling of 140022320200420 in words is "one hundred forty trillion, twenty-two billion, three hundred twenty million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 3637 4060 7274 14548 18185 25459 36370 50918 72740 101836 105473 127295 210946 254590 421892 509180 527365 738311 1054730 1476622 2109460 2953244 3691555 7383110 9482611 14766220 18965222 37930444 47413055 66378277 94826110 132756554 189652220 265513108 274995719 331891385 549991438 663782770 1099982876 1327565540 1374978595 1924970033 2749957190 3849940066 5499914380 7699880132 9624850165 19249700330 34488256207 38499400660 68976512414 137953024828 172441281035 241417793449 344882562070 482835586898 689765124140 965671173796 1000159430003 1207088967245 2000318860006 2414177934490 4000637720012 4828355868980 5000797150015 7001116010021 10001594300030 14002232020042 20003188600060 28004464040084 35005580050105 70011160100210 140022320200420