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1132142441444 = 227472411356819
BaseRepresentation
bin10000011110011000111…
…100101011001111100100
311000020020221201222020222
4100132120330223033210
5122022111431111234
62224033221343512
7144536354654240
oct20363074531744
94006227658228
101132142441444
113a7158990a93
12163500267b98
13829b6c9b0b1
143cb20289420
151e6b272742e
hex10798f2b3e4

1132142441444 has 48 divisors (see below), whose sum is σ = 2313426769920. Its totient is φ = 474682121760.

The previous prime is 1132142441413. The next prime is 1132142441471. The reversal of 1132142441444 is 4441442412311.

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, 2994467 + ... + 3351285.

It is an arithmetic number, because the mean of its divisors is an integer number (48196391040).

Almost surely, 21132142441444 is an apocalyptic number.

1132142441444 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 1132142441444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156713384960).

1132142441444 is an abundant number, since it is smaller than the sum of its proper divisors (1181284328476).

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

1132142441444 is a wasteful number, since it uses less digits than its factorization.

1132142441444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359288 (or 359286 counting only the distinct ones).

The product of its digits is 49152, while the sum is 35.

Adding to 1132142441444 its reverse (4441442412311), we get a palindrome (5573584853755).

The spelling of 1132142441444 in words is "one trillion, one hundred thirty-two billion, one hundred forty-two million, four hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 47 94 188 329 658 1316 2411 4822 9644 16877 33754 67508 113317 226634 356819 453268 713638 793219 1427276 1586438 2497733 3172876 4995466 9990932 16770493 33540986 67081972 117393451 234786902 469573804 860290609 1720581218 3441162436 6022034263 12044068526 24088137052 40433658623 80867317246 161734634492 283035610361 566071220722 1132142441444