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1031414144 = 2731259933
BaseRepresentation
bin111101011110100…
…010000110000000
32122212210021012212
4331132202012000
54103020223034
6250202441252
734362606215
oct7536420600
92585707185
101031414144
1148a22a792
12249503228
131358b8a37
149ada7b0c
15608392ce
hex3d7a2180

1031414144 has 32 divisors (see below), whose sum is σ = 2121061440. Its totient is φ = 499069440.

The previous prime is 1031414129. The next prime is 1031414161. The reversal of 1031414144 is 4414141301.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125999 + ... + 133934.

It is an arithmetic number, because the mean of its divisors is an integer number (66283170).

Almost surely, 21031414144 is an apocalyptic number.

It is an amenable number.

1031414144 is an abundant number, since it is smaller than the sum of its proper divisors (1089647296).

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

1031414144 is an equidigital number, since it uses as much as digits as its factorization.

1031414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259978 (or 259966 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1031414144 is about 32115.6370635863. The cubic root of 1031414144 is about 1010.3636059725.

Adding to 1031414144 its reverse (4414141301), we get a palindrome (5445555445).

The spelling of 1031414144 in words is "one billion, thirty-one million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 259933 519866 1039732 2079464 4158928 8057923 8317856 16115846 16635712 32231692 33271424 64463384 128926768 257853536 515707072 1031414144