Search a number
-
+
138145395269 = 724576169133
BaseRepresentation
bin1000000010101000011…
…0110111001001000101
3111012120120221012100002
42000222012313021011
54230410210122034
6143244011131045
712660241325300
oct2005206671105
9435516835302
10138145395269
1153650524162
1222934743a85
131004759394b
1469871bdb37
1538d7ecde7e
hex202a1b7245

138145395269 has 12 divisors (see below), whose sum is σ = 161051412204. Its totient is φ = 118151216064.

The previous prime is 138145395253. The next prime is 138145395277. The reversal of 138145395269 is 962593541831.

It can be written as a sum of positive squares in 2 ways, for example, as 131961460225 + 6183935044 = 363265^2 + 78638^2 .

It is not a de Polignac number, because 138145395269 - 24 = 138145395253 is a prime.

It is a super-3 number, since 3×1381453952693 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138145395239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3062174 + ... + 3106959.

It is an arithmetic number, because the mean of its divisors is an integer number (13420951017).

Almost surely, 2138145395269 is an apocalyptic number.

It is an amenable number.

138145395269 is a deficient number, since it is larger than the sum of its proper divisors (22906016935).

138145395269 is an equidigital number, since it uses as much as digits as its factorization.

138145395269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6169604 (or 6169597 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 56.

The spelling of 138145395269 in words is "one hundred thirty-eight billion, one hundred forty-five million, three hundred ninety-five thousand, two hundred sixty-nine".

Divisors: 1 7 49 457 3199 22393 6169133 43183931 302287517 2819293781 19735056467 138145395269