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141304716 = 22337311601
BaseRepresentation
bin10000110110000…
…10001110001100
3100211220000122000
420123002032030
5242133222331
622004352300
73334033050
oct1033021614
9324800560
10141304716
1172843363
123b3a5690
1323376177
1414aa3c60
15c6130e6
hex86c238c

141304716 has 96 divisors (see below), whose sum is σ = 420725760. Its totient is φ = 40176000.

The previous prime is 141304703. The next prime is 141304741. The reversal of 141304716 is 617403141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 141304716.

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 31 ways as a sum of consecutive naturals, for example, 234816 + ... + 235416.

It is an arithmetic number, because the mean of its divisors is an integer number (4382560).

Almost surely, 2141304716 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 141304716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210362880).

141304716 is an abundant number, since it is smaller than the sum of its proper divisors (279421044).

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

141304716 is a wasteful number, since it uses less digits than its factorization.

141304716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 141304716 is about 11887.1660205450. The cubic root of 141304716 is about 520.8574561257.

Adding to 141304716 its reverse (617403141), we get a palindrome (758707857).

The spelling of 141304716 in words is "one hundred forty-one million, three hundred four thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 311 378 601 622 756 933 1202 1244 1803 1866 2177 2404 2799 3606 3732 4207 4354 5409 5598 6531 7212 8397 8414 8708 10818 11196 12621 13062 16227 16794 16828 19593 21636 25242 26124 32454 33588 37863 39186 50484 58779 64908 75726 78372 113589 117558 151452 186911 227178 235116 373822 454356 560733 747644 1121466 1308377 1682199 2242932 2616754 3364398 3925131 5046597 5233508 6728796 7850262 10093194 11775393 15700524 20186388 23550786 35326179 47101572 70652358 141304716