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144213339768 = 23331187722031
BaseRepresentation
bin1000011001001111001…
…0001110111001111000
3111210020110211201100020
42012103302032321320
54330322103333033
6150130052210440
713263512106501
oct2062362167170
9453213751306
10144213339768
1156184741723
1223b48909a20
13107a375b754
146da1037ba8
153b40a886b3
hex2193c8ee78

144213339768 has 64 divisors (see below), whose sum is σ = 362121477120. Its totient is φ = 47859734400.

The previous prime is 144213339737. The next prime is 144213339773. The reversal of 144213339768 is 867933312441.

144213339768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1442133397682 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144213339768.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 6534913 + ... + 6556943.

It is an arithmetic number, because the mean of its divisors is an integer number (5658148080).

Almost surely, 2144213339768 is an apocalyptic number.

It is an amenable number.

144213339768 is an abundant number, since it is smaller than the sum of its proper divisors (217908137352).

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

144213339768 is a wasteful number, since it uses less digits than its factorization.

144213339768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23228 (or 23224 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The spelling of 144213339768 in words is "one hundred forty-four billion, two hundred thirteen million, three hundred thirty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 311 622 877 933 1244 1754 1866 2488 2631 3508 3732 5262 7016 7464 10524 21048 22031 44062 66093 88124 132186 176248 264372 272747 528744 545494 818241 1090988 1636482 2181976 3272964 6545928 6851641 13703282 19321187 20554923 27406564 38642374 41109846 54813128 57963561 77284748 82219692 115927122 154569496 164439384 231854244 463708488 6008889157 12017778314 18026667471 24035556628 36053334942 48071113256 72106669884 144213339768