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4434310142340 = 22351310322811907
BaseRepresentation
bin100000010000111000101…
…1110110001100110000100
3120200220201200211220001120
41000201301132301212010
51040122431344023330
613233032143353540
7635240224210461
oct100416136614604
916626650756046
104434310142340
11145a642522801
125b74955b28b0
132621cc75c940
1411489c154668
157a52eab6c10
hex408717b1984

4434310142340 has 288 divisors, whose sum is σ = 13557384118656. Its totient is φ = 1076513679360.

The previous prime is 4434310142329. The next prime is 4434310142371. The reversal of 4434310142340 is 432410134344.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2325279667 + ... + 2325281573.

It is an arithmetic number, because the mean of its divisors is an integer number (47074250412).

Almost surely, 24434310142340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434310142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778692059328).

4434310142340 is an abundant number, since it is smaller than the sum of its proper divisors (9123073976316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4434310142340 is a wasteful number, since it uses less digits than its factorization.

4434310142340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 4434310142340 its reverse (432410134344), we get a palindrome (4866720276684).

The spelling of 4434310142340 in words is "four trillion, four hundred thirty-four billion, three hundred ten million, one hundred forty-two thousand, three hundred forty".