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135444505413 = 3783479162229
BaseRepresentation
bin111111000100100011…
…1110010001101000101
3110221121100201202222110
41332021013302031011
54204342243133123
6142120005451233
712533304204660
oct1761107621505
9427540652873
10135444505413
115249498a688
1222300110b19
13ca06b58179
1467ac5d86d7
1537cad20493
hex1f891f2345

135444505413 has 32 divisors (see below), whose sum is σ = 209315635200. Its totient is φ = 76304264256.

The previous prime is 135444505403. The next prime is 135444505421. The reversal of 135444505413 is 314505444531.

It is not a de Polignac number, because 135444505413 - 212 = 135444501317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135444505403) 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 31 ways as a sum of consecutive naturals, for example, 753783 + ... + 916011.

It is an arithmetic number, because the mean of its divisors is an integer number (6541113600).

Almost surely, 2135444505413 is an apocalyptic number.

It is an amenable number.

135444505413 is a deficient number, since it is larger than the sum of its proper divisors (73871129787).

135444505413 is a wasteful number, since it uses less digits than its factorization.

135444505413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162801.

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 135444505413 its reverse (314505444531), we get a palindrome (449949949944).

The spelling of 135444505413 in words is "one hundred thirty-five billion, four hundred forty-four million, five hundred five thousand, four hundred thirteen".

Divisors: 1 3 7 21 83 249 479 581 1437 1743 3353 10059 39757 119271 162229 278299 486687 834897 1135603 3406809 13465007 40395021 77707691 94255049 233123073 282765147 543953837 1631861511 6449738353 19349215059 45148168471 135444505413