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1141122444 = 2237112192311
BaseRepresentation
bin100010000000100…
…0010010110001100
32221112020000201020
41010001002112030
54314111404234
6305122114140
740164244410
oct10401022614
92845200636
101141122444
11536152200
1227a1ab950
1315254b3a7
14ab7a4d40
156a2aa549
hex4404258c

1141122444 has 216 divisors, whose sum is σ = 3541434624. Its totient is φ = 279892800.

The previous prime is 1141122427. The next prime is 1141122449. The reversal of 1141122444 is 4442211411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141122449) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3669049 + ... + 3669359.

Almost surely, 21141122444 is an apocalyptic number.

1141122444 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 1141122444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770717312).

1141122444 is an abundant number, since it is smaller than the sum of its proper divisors (2400312180).

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

1141122444 is a wasteful number, since it uses less digits than its factorization.

1141122444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 353 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 1141122444 is about 33780.5039038792. The cubic root of 1141122444 is about 1044.9866664965.

Adding to 1141122444 its reverse (4442211411), we get a palindrome (5583333855).

The spelling of 1141122444 in words is "one billion, one hundred forty-one million, one hundred twenty-two thousand, four hundred forty-four".