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141886944 = 2533971693
BaseRepresentation
bin10000111010100…
…00010111100000
3100212222121022000
420131100113200
5242310340234
622025044000
73342006363
oct1035202740
9325877260
10141886944
1173100841
123b626600
132351b194
1414bb60da
15c6ca899
hex87505e0

141886944 has 96 divisors (see below), whose sum is σ = 418350240. Its totient is φ = 46780416.

The previous prime is 141886939. The next prime is 141886957. The reversal of 141886944 is 449688141.

It is a tau number, because it is divible by the number of its divisors (96).

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 141886944.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 82962 + ... + 84654.

It is an arithmetic number, because the mean of its divisors is an integer number (4357815).

Almost surely, 2141886944 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 141886944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209175120).

141886944 is an abundant number, since it is smaller than the sum of its proper divisors (276463296).

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

141886944 is a wasteful number, since it uses less digits than its factorization.

141886944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1795 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 141886944 is about 11911.6306188532. The cubic root of 141886944 is about 521.5718513295.

The spelling of 141886944 in words is "one hundred forty-one million, eight hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 97 108 144 194 216 288 291 388 432 582 776 864 873 1164 1552 1693 1746 2328 2619 3104 3386 3492 4656 5079 5238 6772 6984 9312 10158 10476 13544 13968 15237 20316 20952 27088 27936 30474 40632 41904 45711 54176 60948 81264 83808 91422 121896 162528 164221 182844 243792 328442 365688 487584 492663 656884 731376 985326 1313768 1462752 1477989 1970652 2627536 2955978 3941304 4433967 5255072 5911956 7882608 8867934 11823912 15765216 17735868 23647824 35471736 47295648 70943472 141886944