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144234404344142 = 27172926261795761
BaseRepresentation
bin100000110010111000110000…
…011011110111000101001110
3200220200200012122001200201222
4200302320300123313011032
5122401114030003003032
61230432212015403342
742244406666245430
oct4062706033670516
9626620178050658
10144234404344142
1141a59516083a82
1214215716223552
136263327514788
142788da7a82650
1511a1d0403aa12
hex832e306f714e

144234404344142 has 64 divisors (see below), whose sum is σ = 270841989306240. Its totient is φ = 56170215628800.

The previous prime is 144234404344123. The next prime is 144234404344207. The reversal of 144234404344142 is 241443404432441.

It is a super-3 number, since 3×1442344043441423 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144234404344093 and 144234404344102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180855542 + ... + 181651302.

It is an arithmetic number, because the mean of its divisors is an integer number (4231906082910).

Almost surely, 2144234404344142 is an apocalyptic number.

144234404344142 is a deficient number, since it is larger than the sum of its proper divisors (126607584962098).

144234404344142 is a wasteful number, since it uses less digits than its factorization.

144234404344142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822077.

The product of its (nonzero) digits is 2359296, while the sum is 44.

Adding to 144234404344142 its reverse (241443404432441), we get a palindrome (385677808776583).

The spelling of 144234404344142 in words is "one hundred forty-four trillion, two hundred thirty-four billion, four hundred four million, three hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 7 14 17 29 34 58 119 203 238 406 493 986 3451 6902 26261 52522 183827 367654 446437 761569 795761 892874 1523138 1591522 3125059 5330983 5570327 6250118 10661966 11140654 12946673 13527937 23077069 25893346 27055874 46154138 90626711 94695559 161539483 181253422 189391118 323078966 392310173 784620346 2746171211 5492342422 20897479621 41794959242 146282357347 292564714694 355257153557 606026909009 710514307114 1212053818018 2486800074899 4242188363063 4973600149798 8484376726126 10302457453153 20604914906306 72117202172071 144234404344142