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1142442224 = 247111635689
BaseRepresentation
bin100010000011000…
…0100100011110000
32221121201002002222
41010012010203300
54314431122344
6305210300212
740211412230
oct10406044360
92847632088
101142442224
11536973830
1227a727668
131528c1021
14aba29cc0
156a46b5ee
hex441848f0

1142442224 has 80 divisors (see below), whose sum is σ = 2777084160. Its totient is φ = 442298880.

The previous prime is 1142442173. The next prime is 1142442263. The reversal of 1142442224 is 4222442411.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1142442193 and 1142442202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197972 + ... + 203660.

It is an arithmetic number, because the mean of its divisors is an integer number (34713552).

Almost surely, 21142442224 is an apocalyptic number.

1142442224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388542080).

1142442224 is an abundant number, since it is smaller than the sum of its proper divisors (1634641936).

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

1142442224 is a wasteful number, since it uses less digits than its factorization.

1142442224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 5872 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 1142442224 is about 33800.0328993923. The cubic root of 1142442224 is about 1045.3893755891.

Adding to 1142442224 its reverse (4222442411), we get a palindrome (5364884635).

The spelling of 1142442224 in words is "one billion, one hundred forty-two million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 163 176 308 326 616 652 1141 1232 1304 1793 2282 2608 3586 4564 5689 7172 9128 11378 12551 14344 18256 22756 25102 28688 39823 45512 50204 62579 79646 91024 100408 125158 159292 200816 250316 318584 438053 500632 637168 876106 927307 1001264 1752212 1854614 3504424 3709228 6491149 7008848 7418456 10200377 12982298 14836912 20400754 25964596 40801508 51929192 71402639 81603016 103858384 142805278 163206032 285610556 571221112 1142442224