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1140072444 = 223274524097
BaseRepresentation
bin100001111110100…
…0001111111111100
32221110020200101100
41003331001333330
54313324304234
6305043413100
740152312240
oct10375017774
92843220340
101140072444
115355a5335
12279984190
131522714a4
14ab5b0420
156a14e399
hex43f41ffc

1140072444 has 36 divisors (see below), whose sum is σ = 3293543344. Its totient is φ = 325734912.

The previous prime is 1140072421. The next prime is 1140072449. The reversal of 1140072444 is 4442700411.

1140072444 is a `hidden beast` number, since 11 + 400 + 7 + 244 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140072449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2261797 + ... + 2262300.

Almost surely, 21140072444 is an apocalyptic number.

1140072444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1140072444 is an abundant number, since it is smaller than the sum of its proper divisors (2153470900).

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

1140072444 is a wasteful number, since it uses less digits than its factorization.

1140072444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524114 (or 4524109 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 1140072444 is about 33764.9588182779. The cubic root of 1140072444 is about 1044.6660544778. Note that the first 3 decimals are identical.

Adding to 1140072444 its reverse (4442700411), we get a palindrome (5582772855).

The spelling of 1140072444 in words is "one billion, one hundred forty million, seventy-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4524097 9048194 13572291 18096388 27144582 31668679 40716873 54289164 63337358 81433746 95006037 126674716 162867492 190012074 285018111 380024148 570036222 1140072444