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120044431431 = 331710915492
BaseRepresentation
bin110111111001100110…
…1001010100001000111
3102110212002202221222000
41233303031022201013
53431322333301211
6131051520440343
711446545555051
oct1576315124107
9373762687860
10120044431431
1146a01a52111
121b3227790b3
13b421472c62
145b4b1d08d1
1531c8d30656
hex1bf334a847

120044431431 has 48 divisors (see below), whose sum is σ = 190155319200. Its totient is φ = 74582788608.

The previous prime is 120044431421. The next prime is 120044431447. The reversal of 120044431431 is 134134440021.

120044431431 is a `hidden beast` number, since 1 + 200 + 4 + 443 + 14 + 3 + 1 = 666.

It is not a de Polignac number, because 120044431431 - 25 = 120044431399 is a prime.

It is a super-2 number, since 2×1200444314312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120044431395 and 120044431404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120044431421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77497245 + ... + 77498793.

It is an arithmetic number, because the mean of its divisors is an integer number (3961569150).

Almost surely, 2120044431431 is an apocalyptic number.

120044431431 is a deficient number, since it is larger than the sum of its proper divisors (70110887769).

120044431431 is an equidigital number, since it uses as much as digits as its factorization.

120044431431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 120044431431 its reverse (134134440021), we get a palindrome (254178871452).

The spelling of 120044431431 in words is "one hundred twenty billion, forty-four million, four hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 17 27 51 109 153 327 459 981 1549 1853 2943 4647 5559 13941 16677 26333 41823 50031 78999 168841 236997 506523 710991 1519569 2399401 2870297 4558707 7198203 8610891 21594609 25832673 40789817 64783827 77498019 122369451 261534709 367108353 784604127 1101325059 2353812381 4446090053 7061437143 13338270159 40014810477 120044431431