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1140241617 = 3437380461
BaseRepresentation
bin100001111110110…
…1011010011010001
32221110120021110000
41003331223103101
54313400212432
6305051200213
740153615404
oct10375532321
92843507400
101140241617
11535700449
12279a46069
131523004a8
14ab615d3b
156a18457c
hex43f6b4d1

1140241617 has 20 divisors (see below), whose sum is σ = 1749364276. Its totient is φ = 739614240.

The previous prime is 1140241607. The next prime is 1140241631. The reversal of 1140241617 is 7161420411.

1140241617 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 2 + 41 + 617 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1004192721 + 136048896 = 31689^2 + 11664^2 .

It is not a de Polignac number, because 1140241617 - 24 = 1140241601 is a prime.

It is a super-4 number, since 4×11402416174 (a number of 37 digits) contains 4444 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1140241607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 187234 + ... + 193227.

Almost surely, 21140241617 is an apocalyptic number.

It is an amenable number.

1140241617 is a deficient number, since it is larger than the sum of its proper divisors (609122659).

1140241617 is an equidigital number, since it uses as much as digits as its factorization.

1140241617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380510 (or 380501 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1140241617 is about 33767.4638816717. The cubic root of 1140241617 is about 1044.7177238697.

The spelling of 1140241617 in words is "one billion, one hundred forty million, two hundred forty-one thousand, six hundred seventeen".

Divisors: 1 3 9 27 37 81 111 333 999 2997 380461 1141383 3424149 10272447 14077057 30817341 42231171 126693513 380080539 1140241617