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4412290311 = 3211133428353
BaseRepresentation
bin1000001101111111…
…00011010100000111
3102101111111120102200
410012333203110013
533014021242221
62005454405543
7214224564102
oct40677432407
912344446380
104412290311
111964694020
12a318008b3
13554177190
142dbdd7739
151ac565426
hex106fe3507

4412290311 has 24 divisors (see below), whose sum is σ = 7487525136. Its totient is φ = 2468413440.

The previous prime is 4412290303. The next prime is 4412290327. The reversal of 4412290311 is 1130922144.

It is a happy number.

It is not a de Polignac number, because 4412290311 - 23 = 4412290303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412290331) 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, 1712890 + ... + 1715463.

It is an arithmetic number, because the mean of its divisors is an integer number (311980214).

Almost surely, 24412290311 is an apocalyptic number.

4412290311 is a deficient number, since it is larger than the sum of its proper divisors (3075234825).

4412290311 is a wasteful number, since it uses less digits than its factorization.

4412290311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428383 (or 3428380 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4412290311 is about 66425.0729092562. The cubic root of 4412290311 is about 1640.1668369583.

The spelling of 4412290311 in words is "four billion, four hundred twelve million, two hundred ninety thousand, three hundred eleven".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 3428353 10285059 30855177 37711883 44568589 113135649 133705767 339406947 401117301 490254479 1470763437 4412290311