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444029157 = 321113345011
BaseRepresentation
bin11010011101110…
…101100011100101
31010221112000111100
4122131311203211
51402132413112
6112021030313
714001120435
oct3235654345
91127460440
10444029157
11208708750
12104855399
1370cb9060
1442d862c5
1528eae2dc
hex1a7758e5

444029157 has 24 divisors (see below), whose sum is σ = 753506208. Its totient is φ = 248407200.

The previous prime is 444029153. The next prime is 444029219. The reversal of 444029157 is 751920444.

It is a happy number.

It is not a de Polignac number, because 444029157 - 22 = 444029153 is a prime.

It is a super-2 number, since 2×4440291572 = 394323784532261298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444029153) 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 23 ways as a sum of consecutive naturals, for example, 171219 + ... + 173792.

It is an arithmetic number, because the mean of its divisors is an integer number (31396092).

Almost surely, 2444029157 is an apocalyptic number.

It is an amenable number.

444029157 is a deficient number, since it is larger than the sum of its proper divisors (309477051).

444029157 is a wasteful number, since it uses less digits than its factorization.

444029157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345041 (or 345038 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 444029157 is about 21071.9993593394. Note that the first 3 decimals coincide. The cubic root of 444029157 is about 762.9050615711.

The spelling of 444029157 in words is "four hundred forty-four million, twenty-nine thousand, one hundred fifty-seven".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 345011 1035033 3105099 3795121 4485143 11385363 13455429 34156089 40366287 49336573 148009719 444029157