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144216346235140 = 225174743920557637
BaseRepresentation
bin100000110010100111111100…
…000101101001000100000100
3200220121221121010112201011001
4200302213330011221010010
5122400320034114011030
61230420024055423044
742243200333663344
oct4062477405510404
9626557533481131
10144216346235140
1141a51899812453
1214212116684a84
13626170a249b8a
14278817364ad24
1511a15e8a04cca
hex8329fc169104

144216346235140 has 96 divisors (see below), whose sum is σ = 328238049807360. Its totient is φ = 53016992016384.

The previous prime is 144216346235111. The next prime is 144216346235177. The reversal of 144216346235140 is 41532643612441.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3263599 + ... + 17294038.

It is an arithmetic number, because the mean of its divisors is an integer number (3419146352160).

Almost surely, 2144216346235140 is an apocalyptic number.

144216346235140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144216346235140 is an abundant number, since it is smaller than the sum of its proper divisors (184021703572220).

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

144216346235140 is a wasteful number, since it uses less digits than its factorization.

144216346235140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20558149 (or 20558147 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

Adding to 144216346235140 its reverse (41532643612441), we get a palindrome (185748989847581).

The spelling of 144216346235140 in words is "one hundred forty-four trillion, two hundred sixteen billion, three hundred forty-six million, two hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 439 470 799 878 940 1598 1756 2195 3196 3995 4390 7463 7990 8780 14926 15980 20633 29852 37315 41266 74630 82532 103165 149260 206330 350761 412660 701522 1403044 1753805 3507610 7015220 20557637 41115274 82230548 102788185 205576370 349479829 411152740 698959658 966208939 1397919316 1747399145 1932417878 3494798290 3864835756 4831044695 6989596580 9024802643 9662089390 16425551963 18049605286 19324178780 32851103926 36099210572 45124013215 65702207852 82127759815 90248026430 153421644931 164255519630 180496052860 306843289862 328511039260 424165724221 613686579724 767108224655 848331448442 1534216449310 1696662896884 2120828621105 3068432898620 4241657242210 7210817311757 8483314484420 14421634623514 28843269247028 36054086558785 72108173117570 144216346235140