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141509135329 = 113233292
BaseRepresentation
bin1000001111001010011…
…0100000101111100001
3111112021000101220020021
42003302212200233201
54304302314312304
6145001451513441
713136504542522
oct2036246405741
9445230356207
10141509135329
1155017243921
1223513158881
1310462432393
146bc5c2c849
153a33472a54
hex20f29a0be1

141509135329 has 9 divisors (see below), whose sum is σ = 142815411193. Its totient is φ = 140214710272.

The previous prime is 141509135297. The next prime is 141509135357. The reversal of 141509135329 is 923531905141.

The square root of 141509135329 is 376177.

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

It can be written as a sum of positive squares in 4 ways, for example, as 67607800225 + 73901335104 = 260015^2 + 271848^2 .

It is not a de Polignac number, because 141509135329 - 25 = 141509135297 is a prime.

It is a super-2 number, since 2×1415091353292 (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 (141509135429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42506337 + ... + 42509665.

Almost surely, 2141509135329 is an apocalyptic number.

141509135329 is the 376177-th square number.

141509135329 is the 188089-th centered octagonal number.

It is an amenable number.

141509135329 is a deficient number, since it is larger than the sum of its proper divisors (1306275864).

141509135329 is an frugal number, since it uses more digits than its factorization.

141509135329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6884 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 43.

The spelling of 141509135329 in words is "one hundred forty-one billion, five hundred nine million, one hundred thirty-five thousand, three hundred twenty-nine".

Divisors: 1 113 3329 12769 376177 11082241 42508001 1252293233 141509135329