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144730082637 = 337765767633
BaseRepresentation
bin1000011011001010010…
…1011100110101001101
3111211120111011222022000
42012302211130311031
54332401400121022
6150253231542513
713312355255460
oct2066245346515
9454514158260
10144730082637
115641a3a4248
122407198aa39
131085682656a
14700d90b2d7
153b7110c6ac
hex21b295cd4d

144730082637 has 16 divisors (see below), whose sum is σ = 245045642880. Its totient is φ = 82702904256.

The previous prime is 144730082617. The next prime is 144730082659. The reversal of 144730082637 is 736280037441.

144730082637 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 3 + 0 + 0 + 8 + 2 + 637 = 666.

144730082637 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144730082637 - 28 = 144730082381 is a prime.

It is a super-2 number, since 2×1447300826372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144730082592 and 144730082601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144730082617) by changing a digit.

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, 382883628 + ... + 382884005.

It is an arithmetic number, because the mean of its divisors is an integer number (15315352680).

Almost surely, 2144730082637 is an apocalyptic number.

It is an amenable number.

144730082637 is a deficient number, since it is larger than the sum of its proper divisors (100315560243).

144730082637 is an equidigital number, since it uses as much as digits as its factorization.

144730082637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765767649 (or 765767643 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 144730082637 in words is "one hundred forty-four billion, seven hundred thirty million, eighty-two thousand, six hundred thirty-seven".

Divisors: 1 3 7 9 21 27 63 189 765767633 2297302899 5360373431 6891908697 16081120293 20675726091 48243360879 144730082637