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1027944144 = 243247151883
BaseRepresentation
bin111101010001010…
…010111011010000
32122122020222021100
4331101102323100
54101123203034
6250000224400
734321244463
oct7521227320
92578228240
101027944144
1148827a717
1224830b100
13134c72496
149a7432da
15603a1099
hex3d452ed0

1027944144 has 60 divisors (see below), whose sum is σ = 2938044096. Its totient is φ = 335355456.

The previous prime is 1027944139. The next prime is 1027944157. The reversal of 1027944144 is 4414497201.

1027944144 is a `hidden beast` number, since 102 + 79 + 441 + 44 = 666.

1027944144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1027944099 and 1027944108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69174 + ... + 82709.

Almost surely, 21027944144 is an apocalyptic number.

It is an amenable number.

1027944144 is an abundant number, since it is smaller than the sum of its proper divisors (1910099952).

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

1027944144 is a wasteful number, since it uses less digits than its factorization.

1027944144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151944 (or 151935 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1027944144 is about 32061.5680215426. The cubic root of 1027944144 is about 1009.2292731358.

The spelling of 1027944144 in words is "one billion, twenty-seven million, nine hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 151883 303766 455649 607532 911298 1215064 1366947 1822596 2430128 2733894 3645192 5467788 7138501 7290384 10935576 14277002 21415503 21871152 28554004 42831006 57108008 64246509 85662012 114216016 128493018 171324024 256986036 342648048 513972072 1027944144