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141066240 = 21535741
BaseRepresentation
bin10000110100010…
…00000000000000
3100211102220111120
420122020000000
5242103104430
621555312240
73332020560
oct1032100000
9324386446
10141066240
11726a0177
123b2ab680
13232c1763
1414a40da0
15c5b7610
hex8688000

141066240 has 256 divisors, whose sum is σ = 528474240. Its totient is φ = 31457280.

The previous prime is 141066239. The next prime is 141066253. The reversal of 141066240 is 42660141.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141066240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3440620 + ... + 3440660.

Almost surely, 2141066240 is an apocalyptic number.

141066240 is a gapful number since it is divisible by the number (10) 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 141066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264237120).

141066240 is an abundant number, since it is smaller than the sum of its proper divisors (387408000).

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

141066240 is an frugal number, since it uses more digits than its factorization.

141066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 141066240 is about 11877.1309666939. The cubic root of 141066240 is about 520.5642789689.

The spelling of 141066240 in words is "one hundred forty-one million, sixty-six thousand, two hundred forty".