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125435400441 = 31379221318397
BaseRepresentation
bin111010011010010001…
…0000101000011111001
3102222202210211120011220
41310310202011003321
54023342430303231
6133342455542253
712030256211631
oct1646442050371
9388683746156
10125435400441
11492190169aa
122038808a989
13baa0300650
1460dd1856c1
1533e2264896
hex1d348850f9

125435400441 has 32 divisors (see below), whose sum is σ = 182484610560. Its totient is φ = 76175334144.

The previous prime is 125435400421. The next prime is 125435400463. The reversal of 125435400441 is 144004534521.

It is a happy number.

It is not a de Polignac number, because 125435400441 - 27 = 125435400313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125435400421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6809055 + ... + 6827451.

It is an arithmetic number, because the mean of its divisors is an integer number (5702644080).

Almost surely, 2125435400441 is an apocalyptic number.

It is an amenable number.

125435400441 is a deficient number, since it is larger than the sum of its proper divisors (57049210119).

125435400441 is a wasteful number, since it uses less digits than its factorization.

125435400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20705.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 125435400441 its reverse (144004534521), we get a palindrome (269439934962).

The spelling of 125435400441 in words is "one hundred twenty-five billion, four hundred thirty-five million, four hundred thousand, four hundred forty-one".

Divisors: 1 3 13 39 79 237 1027 2213 3081 6639 18397 28769 55191 86307 174827 239161 524481 717483 1453363 2272751 4360089 6818253 18893719 40712561 56681157 122137683 529263293 1587789879 3216292319 9648876957 41811800147 125435400441