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6441146407 = 59116393871
BaseRepresentation
bin1011111111110110…
…00001100000100111
3121121220011010210001
411333323001200213
5101142413141112
62543052042131
7315421561333
oct57773014047
917556133701
106441146407
11280594a6a3
1212b9163347
137b85b5947
144516447c3
1527a727c57
hex17fec1827

6441146407 has 8 divisors (see below), whose sum is σ = 6556020480. Its totient is φ = 6326462520.

The previous prime is 6441146399. The next prime is 6441146419. The reversal of 6441146407 is 7046411446.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6441146407 - 23 = 6441146399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6441146447) 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 7 ways as a sum of consecutive naturals, for example, 21682 + ... + 115552.

It is an arithmetic number, because the mean of its divisors is an integer number (819502560).

Almost surely, 26441146407 is an apocalyptic number.

6441146407 is a deficient number, since it is larger than the sum of its proper divisors (114874073).

6441146407 is a wasteful number, since it uses less digits than its factorization.

6441146407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95093.

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 6441146407 is about 80256.7530305083. The cubic root of 6441146407 is about 1860.6058849172.

The spelling of 6441146407 in words is "six billion, four hundred forty-one million, one hundred forty-six thousand, four hundred seven".

Divisors: 1 59 1163 68617 93871 5538389 109171973 6441146407