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141323616 = 253477789
BaseRepresentation
bin10000110110001…
…10110101100000
3100211220222120000
420123012311200
5242134323431
622005020000
73334142130
oct1033066540
9324828500
10141323616
1172856585
123b3b4600
1323381955
1414aaaac0
15c6189e6
hex86c6d60

141323616 has 120 divisors (see below), whose sum is σ = 475065360. Its totient is φ = 40372992.

The previous prime is 141323603. The next prime is 141323627. The reversal of 141323616 is 616323141.

141323616 is a `hidden beast` number, since 1 + 41 + 3 + 2 + 3 + 616 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 141323616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14250 + ... + 22038.

It is an arithmetic number, because the mean of its divisors is an integer number (3958878).

Almost surely, 2141323616 is an apocalyptic number.

141323616 is a gapful number since it is divisible by the number (16) 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 141323616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237532680).

141323616 is an abundant number, since it is smaller than the sum of its proper divisors (333741744).

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

141323616 is an equidigital number, since it uses as much as digits as its factorization.

141323616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7818 (or 7801 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 141323616 is about 11887.9609689803. The cubic root of 141323616 is about 520.8806772593.

Adding to 141323616 its reverse (616323141), we get a palindrome (757646757).

The spelling of 141323616 in words is "one hundred forty-one million, three hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 7789 9072 15578 18144 23367 31156 46734 54523 62312 70101 93468 109046 124624 140202 163569 186936 210303 218092 249248 280404 327138 373872 420606 436184 490707 560808 630909 654276 747744 841212 872368 981414 1121616 1261818 1308552 1472121 1682424 1744736 1962828 2243232 2523636 2617104 2944242 3364848 3925656 4416363 5047272 5234208 5888484 6729696 7851312 8832726 10094544 11776968 15702624 17665452 20189088 23553936 35330904 47107872 70661808 141323616