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125442244431 = 337773858623
BaseRepresentation
bin111010011010011110…
…0001011111101001111
3102222210021201021101000
41310310330023331033
54023401203310211
6133343302351343
712030401325150
oct1646474137517
9388707637330
10125442244431
1149221970999
122038a42b553
13baa185884a
146100047927
1533e2b67656
hex1d34f0bf4f

125442244431 has 32 divisors (see below), whose sum is σ = 212663992320. Its totient is φ = 71588467872.

The previous prime is 125442244427. The next prime is 125442244439. The reversal of 125442244431 is 134442244521.

125442244431 is a `hidden beast` number, since 12 + 544 + 22 + 44 + 43 + 1 = 666.

It is not a de Polignac number, because 125442244431 - 22 = 125442244427 is a prime.

It is a super-2 number, since 2×1254422444312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125442244439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283215 + ... + 575408.

It is an arithmetic number, because the mean of its divisors is an integer number (6645749760).

Almost surely, 2125442244431 is an apocalyptic number.

125442244431 is a deficient number, since it is larger than the sum of its proper divisors (87221747889).

125442244431 is an equidigital number, since it uses as much as digits as its factorization.

125442244431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859412 (or 859406 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 125442244431 its reverse (134442244521), we get a palindrome (259884488952).

The spelling of 125442244431 in words is "one hundred twenty-five billion, four hundred forty-two million, two hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 773 2319 5411 6957 16233 20871 48699 146097 858623 2575869 6010361 7727607 18031083 23182821 54093249 162279747 663715579 1991146737 4646009053 5973440211 13938027159 17920320633 41814081477 125442244431