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141142848 = 2637119547
BaseRepresentation
bin10000110100110…
…10101101000000
3100211120210120220
420122122231000
5242113032343
622001103040
73332460120
oct1032325500
9324523526
10141142848
1172742790
123b327a80
132331a5a2
1414a60c80
15c5d0183
hex869ab40

141142848 has 112 divisors (see below), whose sum is σ = 465636864. Its totient is φ = 36656640.

The previous prime is 141142829. The next prime is 141142853. The reversal of 141142848 is 848241141.

141142848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1411428482 = 39842607083102208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

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 15 ways as a sum of consecutive naturals, for example, 10011 + ... + 19557.

It is an arithmetic number, because the mean of its divisors is an integer number (4157472).

Almost surely, 2141142848 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 141142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232818432).

141142848 is an abundant number, since it is smaller than the sum of its proper divisors (324494016).

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

141142848 is a wasteful number, since it uses less digits than its factorization.

141142848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9580 (or 9570 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 141142848 is about 11880.3555502350. The cubic root of 141142848 is about 520.6584951599.

Adding to 141142848 its reverse (848241141), we get a palindrome (989383989).

The spelling of 141142848 in words is "one hundred forty-one million, one hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 9547 14784 19094 28641 38188 57282 66829 76376 105017 114564 133658 152752 200487 210034 229128 267316 305504 315051 400974 420068 458256 534632 611008 630102 735119 801948 840136 916512 1069264 1260204 1470238 1603896 1680272 1833024 2138528 2205357 2520408 2940476 3207792 3360544 4277056 4410714 5040816 5880952 6415584 6721088 8821428 10081632 11761904 12831168 17642856 20163264 23523808 35285712 47047616 70571424 141142848