Search a number
-
+
135304240152444 = 223112671390816991
BaseRepresentation
bin11110110000111011111001…
…001010111011111101111100
3122202001221220010122111121020
4132300323321022323331330
5120213311040434334234
61155433524304504140
740333260130121616
oct3660737112737574
9582057803574536
10135304240152444
113a12622a212300
1213212a5031b050
135a6619aa71a9c
14255aa8dc71db6
15109989183a549
hex7b0ef92bbf7c

135304240152444 has 72 divisors (see below), whose sum is σ = 352199368518144. Its totient is φ = 40389325389600.

The previous prime is 135304240152437. The next prime is 135304240152493. The reversal of 135304240152444 is 444251042403531.

It is a junction number, because it is equal to n+sod(n) for n = 135304240152396 and 135304240152405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 695311212 + ... + 695505779.

Almost surely, 2135304240152444 is an apocalyptic number.

It is an amenable number.

135304240152444 is an abundant number, since it is smaller than the sum of its proper divisors (216895128365700).

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

135304240152444 is a wasteful number, since it uses less digits than its factorization.

135304240152444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390817087 (or 1390817074 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 135304240152444 its reverse (444251042403531), we get a palindrome (579555282555975).

The spelling of 135304240152444 in words is "one hundred thirty-five trillion, three hundred four billion, two hundred forty million, one hundred fifty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 121 132 134 201 242 268 363 402 484 726 737 804 1452 1474 2211 2948 4422 8107 8844 16214 24321 32428 48642 97284 1390816991 2781633982 4172450973 5563267964 8344901946 15298986901 16689803892 30597973802 45896960703 61195947604 91793921406 93184738397 168288855911 183587842812 186369476794 279554215191 336577711822 372738953588 504866567733 559108430382 673155423644 1009733135466 1025032122367 1118216860764 2019466270932 2050064244734 3075096367101 4100128489468 6150192734202 11275353346037 12300385468404 22550706692074 33826060038111 45101413384148 67652120076222 135304240152444