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144213043344340 = 225159713103344587
BaseRepresentation
bin100000110010100100110111…
…001110000111001111010100
3200220121122001221120110202011
4200302210313032013033110
5122400241303044004330
61230414320231154004
742243022436611165
oct4062446716071724
9626548057513664
10144213043344340
1141a50454383733
1214211554515904
136261301b94b19
142787d3cb1b76c
1511a14a3a8082a
hex8329373873d4

144213043344340 has 48 divisors (see below), whose sum is σ = 303061032997632. Its totient is φ = 57644529376896.

The previous prime is 144213043344299. The next prime is 144213043344341. The reversal of 144213043344340 is 43443340312441.

It is a junction number, because it is equal to n+sod(n) for n = 144213043344293 and 144213043344302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144213043344341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 418337527 + ... + 418682113.

It is an arithmetic number, because the mean of its divisors is an integer number (6313771520784).

Almost surely, 2144213043344340 is an apocalyptic number.

144213043344340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144213043344340 is an abundant number, since it is smaller than the sum of its proper divisors (158847989653292).

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

144213043344340 is a wasteful number, since it uses less digits than its factorization.

144213043344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359296 (or 359294 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 144213043344340 its reverse (43443340312441), we get a palindrome (187656383656781).

The spelling of 144213043344340 in words is "one hundred forty-four trillion, two hundred thirteen billion, forty-three million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1597 3194 6388 7985 13103 15970 26206 31940 52412 65515 131030 262060 344587 689174 1378348 1722935 3445870 6891740 20925491 41850982 83701964 104627455 209254910 418509820 550305439 1100610878 2201221756 2751527195 4515123461 5503054390 9030246922 11006108780 18060493844 22575617305 45151234610 90302469220 7210652167217 14421304334434 28842608668868 36053260836085 72106521672170 144213043344340