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141584380729 = 1127924332
BaseRepresentation
bin1000001111011100010…
…1100011001100111001
3111112110020222202111221
42003313011203030321
54304431100140404
6145013140352041
713141410244051
oct2036705431471
9445406882457
10141584380729
1155055767900
12235343a5621
1310474bb959c
146bd1c18561
153a39d87954
hex20f7163339

141584380729 has 27 divisors (see below), whose sum is σ = 157985550639. Its totient is φ = 126790297920.

The previous prime is 141584380703. The next prime is 141584380733. The reversal of 141584380729 is 927083485141.

The square root of 141584380729 is 376277.

It is a perfect power (a square), and thus also a powerful number.

141584380729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 15877260025 + 125707120704 = 126005^2 + 354552^2 .

It is not a de Polignac number, because 141584380729 - 217 = 141584249657 is a prime.

It is a super-2 number, since 2×1415843807292 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (141584380799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 326984497 + ... + 326984929.

Almost surely, 2141584380729 is an apocalyptic number.

141584380729 is the 376277-th square number.

141584380729 is the 188139-th centered octagonal number.

It is an amenable number.

141584380729 is a deficient number, since it is larger than the sum of its proper divisors (16401169910).

141584380729 is an frugal number, since it uses more digits than its factorization.

141584380729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 141584380729 in words is "one hundred forty-one billion, five hundred eighty-four million, three hundred eighty thousand, seven hundred twenty-nine".

Divisors: 1 11 79 121 433 869 4763 6241 9559 34207 52393 68651 187489 376277 755161 2062379 2702353 4139047 14811631 22686169 29725883 162927941 326984713 1170118849 1792207351 12871307339 141584380729