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141303312 = 24332911279
BaseRepresentation
bin10000110110000…
…01111000010000
3100211212221201000
420123001320100
5242133201222
622004342000
73334026003
oct1033017020
9324787630
10141303312
11728422a7
123b3a4900
1323375637
1414aa353a
15c6129ac
hex86c1e10

141303312 has 80 divisors (see below), whose sum is σ = 419616000. Its totient is φ = 45472896.

The previous prime is 141303293. The next prime is 141303319. The reversal of 141303312 is 213303141.

141303312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (141303319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6889 + ... + 18167.

It is an arithmetic number, because the mean of its divisors is an integer number (5245200).

Almost surely, 2141303312 is an apocalyptic number.

141303312 is a gapful number since it is divisible by the number (12) 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 141303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209808000).

141303312 is an abundant number, since it is smaller than the sum of its proper divisors (278312688).

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

141303312 is a wasteful number, since it uses less digits than its factorization.

141303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11325 (or 11313 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 141303312 is about 11887.1069651114. The cubic root of 141303312 is about 520.8557310446.

Adding to 141303312 its reverse (213303141), we get a palindrome (354606453).

The spelling of 141303312 in words is "one hundred forty-one million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 6264 11279 12528 22558 33837 45116 67674 90232 101511 135348 180464 203022 270696 304533 327091 406044 541392 609066 654182 812088 981273 1218132 1308364 1624176 1962546 2436264 2616728 2943819 3925092 4872528 5233456 5887638 7850184 8831457 11775276 15700368 17662914 23550552 35325828 47101104 70651656 141303312