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141199335225 = 3252132412472
BaseRepresentation
bin1000001110000000100…
…0101101111100111001
3111111110102110102101100
42003200020231330321
54303134012211400
6144511023442013
713126023355314
oct2034010557471
9444412412340
10141199335225
1154978386483
1223447456309
13104131b2a00
146b96a2797b
153a1617a100
hex20e022df39

141199335225 has 243 divisors, whose sum is σ = 286795922439. Its totient is φ = 66375129600.

The previous prime is 141199335223. The next prime is 141199335227. The reversal of 141199335225 is 522533991141.

The square root of 141199335225 is 375765.

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

141199335225 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 99 + 33 + 522 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (141199335223) and next prime (141199335227).

It can be written as a sum of positive squares in 13 ways, for example, as 127961452089 + 13237883136 = 357717^2 + 115056^2 .

It is not a de Polignac number, because 141199335225 - 21 = 141199335223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (141199335223) 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 242 ways as a sum of consecutive naturals, for example, 3004241152 + ... + 3004241198.

Almost surely, 2141199335225 is an apocalyptic number.

141199335225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

141199335225 is the 375765-th square number.

141199335225 is the 187883-rd centered octagonal number.

It is an amenable number.

141199335225 is an abundant number, since it is smaller than the sum of its proper divisors (145596587214).

141199335225 is a wasteful number, since it uses less digits than its factorization.

141199335225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 109 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The spelling of 141199335225 in words is "one hundred forty-one billion, one hundred ninety-nine million, three hundred thirty-five thousand, two hundred twenty-five".