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1142668288 = 2105871901
BaseRepresentation
bin100010000011011…
…1011110000000000
32221122010120012201
41010012323300000
54320010341123
6305215202544
740213343266
oct10406736000
92848116181
101142668288
11537008663
1227a816454
1315296cba8
14aba88436
156a4b35ad
hex441bbc00

1142668288 has 44 divisors (see below), whose sum is σ = 2289315672. Its totient is φ = 570060800.

The previous prime is 1142668223. The next prime is 1142668327. The reversal of 1142668288 is 8828662411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 600138 + ... + 602038.

Almost surely, 21142668288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144657836).

1142668288 is an abundant number, since it is smaller than the sum of its proper divisors (1146647384).

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

1142668288 is an equidigital number, since it uses as much as digits as its factorization.

1142668288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2490 counting only the distinct ones).

The product of its digits is 294912, while the sum is 46.

The square root of 1142668288 is about 33803.3768727327. The cubic root of 1142668288 is about 1045.4583241722.

The spelling of 1142668288 in words is "one billion, one hundred forty-two million, six hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 587 1024 1174 1901 2348 3802 4696 7604 9392 15208 18784 30416 37568 60832 75136 121664 150272 243328 300544 486656 601088 973312 1115887 1946624 2231774 4463548 8927096 17854192 35708384 71416768 142833536 285667072 571334144 1142668288