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13123432324144 = 243755751077793
BaseRepresentation
bin1011111011111000100110…
…0001011001110000110000
31201110120212120012021100101
42332332021201121300300
53210003242133333034
643524453243402144
72523064613136622
oct276761141316060
951416776167311
1013123432324144
1141aa68646883a
12157b4aab23354
137426c3ca53cc
1433526b150c12
1517b585b2c514
hexbef89859c30

13123432324144 has 80 divisors (see below), whose sum is σ = 26169220071648. Its totient is φ = 6370844921856.

The previous prime is 13123432324141. The next prime is 13123432324159. The reversal of 13123432324144 is 44142323432131.

13123432324144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (13123432324141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1683998712 + ... + 1684006504.

Almost surely, 213123432324144 is an apocalyptic number.

It is an amenable number.

13123432324144 is a deficient number, since it is larger than the sum of its proper divisors (13045787747504).

13123432324144 is a wasteful number, since it uses less digits than its factorization.

13123432324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13502 (or 13496 counting only the distinct ones).

The product of its digits is 165888, while the sum is 37.

Adding to 13123432324144 its reverse (44142323432131), we get a palindrome (57265755756275).

The spelling of 13123432324144 in words is "thirteen trillion, one hundred twenty-three billion, four hundred thirty-two million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 37 74 148 296 557 592 1114 2228 4456 5107 7793 8912 10214 15586 20428 20609 31172 40856 41218 62344 81712 82436 124688 164872 188959 288341 329744 377918 576682 755836 1153364 1511672 2306728 2844599 3023344 4340701 4613456 5689198 8681402 11378396 17362804 22756792 34725608 39798851 45513584 69451216 79597702 105250163 159195404 160605937 210500326 318390808 321211874 421000652 636781616 642423748 842001304 1284847496 1472557487 1684002608 2569694992 2945114974 5890229948 11780459896 22167960007 23560919792 44335920014 88671840028 177343680056 354687360112 820214520259 1640429040518 3280858081036 6561716162072 13123432324144