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144400432131 = 335348164153
BaseRepresentation
bin1000011001111011101…
…1111011110000000011
3111210201111212222211000
42012132323323300003
54331213002312011
6150200414223043
713301243264334
oct2063673736003
9453644788730
10144400432131
1156270308a0a
1223b9b4b4a83
13108034468a7
146dbbc1a28b
153b521e3356
hex219eefbc03

144400432131 has 8 divisors (see below), whose sum is σ = 213926566160. Its totient is φ = 96266954736.

The previous prime is 144400432087. The next prime is 144400432147. The reversal of 144400432131 is 131234004441.

144400432131 is a `hidden beast` number, since 1 + 4 + 4 + 400 + 43 + 213 + 1 = 666.

It is not a de Polignac number, because 144400432131 - 210 = 144400431107 is a prime.

It is a super-2 number, since 2×1444004321312 (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), and also a Moran number because the ratio is a prime number: 5348164153 = 144400432131 / (1 + 4 + 4 + 4 + 0 + 0 + 4 + 3 + 2 + 1 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144400432095 and 144400432104.

It is not an unprimeable number, because it can be changed into a prime (144400432181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2674082050 + ... + 2674082103.

It is an arithmetic number, because the mean of its divisors is an integer number (26740820770).

Almost surely, 2144400432131 is an apocalyptic number.

144400432131 is a deficient number, since it is larger than the sum of its proper divisors (69526134029).

144400432131 is an equidigital number, since it uses as much as digits as its factorization.

144400432131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5348164162 (or 5348164156 counting only the distinct ones).

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

Adding to 144400432131 its reverse (131234004441), we get a palindrome (275634436572).

The spelling of 144400432131 in words is "one hundred forty-four billion, four hundred million, four hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 5348164153 16044492459 48133477377 144400432131