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135311143424 = 292069127733
BaseRepresentation
bin111111000000100101…
…1000011001000000000
3110221021001210021201112
41332001023003020000
54204104123042144
6142054443222452
712530064512342
oct1760113031000
9427231707645
10135311143424
1152426681866
1222283517a28
13c9b5333352
146798a01292
1537be27a99e
hex1f812c3200

135311143424 has 40 divisors (see below), whose sum is σ = 270490795740. Its totient is φ = 67622342656.

The previous prime is 135311143423. The next prime is 135311143427. The reversal of 135311143424 is 424341113531.

It can be written as a sum of positive squares in 2 ways, for example, as 99502393600 + 35808749824 = 315440^2 + 189232^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (135311143423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 995462 + ... + 1123194.

Almost surely, 2135311143424 is an apocalyptic number.

It is an amenable number.

135311143424 is a deficient number, since it is larger than the sum of its proper divisors (135179652316).

135311143424 is an equidigital number, since it uses as much as digits as its factorization.

135311143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129820 (or 129804 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

Adding to 135311143424 its reverse (424341113531), we get a palindrome (559652256955).

The spelling of 135311143424 in words is "one hundred thirty-five billion, three hundred eleven million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 2069 4138 8276 16552 33104 66208 127733 132416 255466 264832 510932 529664 1021864 1059328 2043728 4087456 8174912 16349824 32699648 65399296 264279577 528559154 1057118308 2114236616 4228473232 8456946464 16913892928 33827785856 67655571712 135311143424