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144331330012324 = 227134112917491161
BaseRepresentation
bin100000110100010011000001…
…101001111100010010100100
3200221000221101112210210120021
4200310103001221330102210
5122404211030440343244
61230544521521044524
742254410622653420
oct4064230151742244
9627027345723507
10144331330012324
1141a9663409a084
1214230466486744
13626c503115560
14278d9606abb80
1511a45c83ec284
hex8344c1a7c4a4

144331330012324 has 96 divisors (see below), whose sum is σ = 318696325178112. Its totient is φ = 55662315264000.

The previous prime is 144331330012279. The next prime is 144331330012333. The reversal of 144331330012324 is 423210033133441.

144331330012324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144331330012324.

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, 15521304 + ... + 23012464.

It is an arithmetic number, because the mean of its divisors is an integer number (3319753387272).

Almost surely, 2144331330012324 is an apocalyptic number.

144331330012324 is a gapful number since it is divisible by the number (14) 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 144331330012324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159348162589056).

144331330012324 is an abundant number, since it is smaller than the sum of its proper divisors (174364995165788).

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

144331330012324 is a wasteful number, since it uses less digits than its factorization.

144331330012324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7492517 (or 7492515 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 144331330012324 its reverse (423210033133441), we get a palindrome (567541363145765).

The spelling of 144331330012324 in words is "one hundred forty-four trillion, three hundred thirty-one billion, three hundred thirty million, twelve thousand, three hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 533 574 1066 1148 1291 2132 2582 3731 5164 7462 9037 14924 16783 18074 33566 36148 52931 67132 105862 117481 211724 234962 370517 469924 688103 741034 1376206 1482068 2752412 4816721 7491161 9633442 14982322 19266884 29964644 52438127 97385093 104876254 194770186 209752508 307137601 389540372 614275202 681695651 1228550404 1363391302 2149963207 2726782604 3992788813 4299926414 7985577626 8599852828 9671088851 15971155252 19342177702 27949521691 38684355404 55899043382 67697621957 111798086764 125724155063 135395243914 251448310126 270790487828 396514642891 502896620252 793029285782 880069085441 1586058571564 1760138170882 2775602500237 3520276341764 5154690357583 5551205000474 10309380715166 11102410000948 20618761430332 36082832503081 72165665006162 144331330012324