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141210048 = 2637293623
BaseRepresentation
bin10000110101010…
…11000111000000
3100211201012202210
420122223013000
5242122210143
622002342120
73333160050
oct1032530700
9324635683
10141210048
1172789221
123b35a940
1323342055
1414a7b560
15c5e5033
hex86ab1c0

141210048 has 112 divisors (see below), whose sum is σ = 441838080. Its totient is φ = 38943744.

The previous prime is 141210037. The next prime is 141210049. The reversal of 141210048 is 840012141.

It is a happy number.

141210048 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 Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141210049) by changing a digit.

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, 37165 + ... + 40787.

Almost surely, 2141210048 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 141210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220919040).

141210048 is an abundant number, since it is smaller than the sum of its proper divisors (300628032).

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

141210048 is a wasteful number, since it uses less digits than its factorization.

141210048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 141210048 is about 11883.1834118640. The cubic root of 141210048 is about 520.7411128767.

Adding to 141210048 its reverse (840012141), we get a palindrome (981222189).

The spelling of 141210048 in words is "one hundred forty-one million, two hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2436 2784 3248 3623 4872 5568 6496 7246 9744 10869 12992 14492 19488 21738 25361 28984 38976 43476 50722 57968 76083 86952 101444 105067 115936 152166 173904 202888 210134 231872 304332 315201 347808 405776 420268 608664 630402 695616 735469 811552 840536 1217328 1260804 1470938 1623104 1681072 2206407 2434656 2521608 2941876 3362144 4412814 4869312 5043216 5883752 6724288 8825628 10086432 11767504 17651256 20172864 23535008 35302512 47070016 70605024 141210048