Search a number
-
+
125431400432 = 2413603035579
BaseRepresentation
bin111010011010001001…
…0110100011111110000
3102222202112022100012102
41310310102310133300
54023340414303212
6133342234115532
712030210212042
oct1646422643760
9388675270172
10125431400432
1149216834708
122038687bba8
13ba9c52ca90
1460dc823a92
1533e1c245c2
hex1d344b47f0

125431400432 has 20 divisors (see below), whose sum is σ = 261717441720. Its totient is φ = 57891415488.

The previous prime is 125431400431. The next prime is 125431400443. The reversal of 125431400432 is 234004134521.

It is a super-3 number, since 3×1254314004323 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125431400395 and 125431400404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125431400431) 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 3 ways as a sum of consecutive naturals, for example, 301517582 + ... + 301517997.

It is an arithmetic number, because the mean of its divisors is an integer number (13085872086).

Almost surely, 2125431400432 is an apocalyptic number.

It is an amenable number.

125431400432 is an abundant number, since it is smaller than the sum of its proper divisors (136286041288).

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

125431400432 is a wasteful number, since it uses less digits than its factorization.

125431400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603035600 (or 603035594 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 125431400432 its reverse (234004134521), we get a palindrome (359435534953).

The spelling of 125431400432 in words is "one hundred twenty-five billion, four hundred thirty-one million, four hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 603035579 1206071158 2412142316 4824284632 7839462527 9648569264 15678925054 31357850108 62715700216 125431400432