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141382656 = 2103223229
BaseRepresentation
bin10000110110101…
…01010000000000
3100212000222112200
420123111100000
5242143221111
622010153200
73334506222
oct1033252000
9325028480
10141382656
1172896978
123b422800
13233a279c
1414ac4412
15c62b256
hex86d5400

141382656 has 198 divisors, whose sum is σ = 441476490. Its totient is φ = 43524096.

The previous prime is 141382651. The next prime is 141382691. The reversal of 141382656 is 656283141.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 121881600 + 19501056 = 11040^2 + 4416^2 .

It is a super-2 number, since 2×1413826562 = 39978110835228672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 141382656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141382651) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4875250 + ... + 4875278.

Almost surely, 2141382656 is an apocalyptic number.

141382656 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 141382656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220738245).

141382656 is an abundant number, since it is smaller than the sum of its proper divisors (300093834).

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

141382656 is a wasteful number, since it uses less digits than its factorization.

141382656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 57 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 141382656 is about 11890.4438941530. The cubic root of 141382656 is about 520.9532023252.

The spelling of 141382656 in words is "one hundred forty-one million, three hundred eighty-two thousand, six hundred fifty-six".