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141116976 = 243271121389
BaseRepresentation
bin10000110100101…
…00011000110000
3100211112111002200
420122110120300
5242111220401
622000343200
73332321520
oct1032243060
9324474080
10141116976
1172725300
123b314b00
132330b890
1414a55680
15c5c7686
hex8694630

141116976 has 360 divisors, whose sum is σ = 540277920. Its totient is φ = 33454080.

The previous prime is 141116953. The next prime is 141116981. The reversal of 141116976 is 679611141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 141116976.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1585540 + ... + 1585628.

It is an arithmetic number, because the mean of its divisors is an integer number (1500772).

Almost surely, 2141116976 is an apocalyptic number.

141116976 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 141116976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270138960).

141116976 is an abundant number, since it is smaller than the sum of its proper divisors (399160944).

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

141116976 is a wasteful number, since it uses less digits than its factorization.

141116976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 141116976 is about 11879.2666440315. The cubic root of 141116976 is about 520.6266803474.

The spelling of 141116976 in words is "one hundred forty-one million, one hundred sixteen thousand, nine hundred seventy-six".