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141330816 = 27321119587
BaseRepresentation
bin10000110110010…
…00100110000000
3100211221100102200
420123020212000
5242140041231
622005113200
73334202124
oct1033104600
9324840380
10141330816
1172860a30
123b3b8800
1323385003
1414aad584
15c61abe6
hex86c8980

141330816 has 192 divisors, whose sum is σ = 467812800. Its totient is φ = 40504320.

The previous prime is 141330811. The next prime is 141330841. The reversal of 141330816 is 618033141.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 141330816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141330811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240475 + ... + 241061.

It is an arithmetic number, because the mean of its divisors is an integer number (2436525).

Almost surely, 2141330816 is an apocalyptic number.

141330816 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 141330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233906400).

141330816 is an abundant number, since it is smaller than the sum of its proper divisors (326481984).

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

141330816 is a wasteful number, since it uses less digits than its factorization.

141330816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 141330816 is about 11888.2637924972. The cubic root of 141330816 is about 520.8895228609.

Adding to 141330816 its reverse (618033141), we get a palindrome (759363957).

The spelling of 141330816 in words is "one hundred forty-one million, three hundred thirty thousand, eight hundred sixteen".