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4424240234320 = 245291907000101
BaseRepresentation
bin100000001100001100101…
…0001000111111101010000
3120122221201220112120011021
41000120121101013331100
51034441320444444240
613224245022325224
7634432540334164
oct100303121077520
916587656476137
104424240234320
1114563452aa875
125b5545129814
1326128643679a
141141c49d4ca4
157a1409ea54a
hex40619447f50

4424240234320 has 40 divisors (see below), whose sum is σ = 10641060569160. Its totient is φ = 1708672089600.

The previous prime is 4424240234279. The next prime is 4424240234387. The reversal of 4424240234320 is 234320424244.

It can be written as a sum of positive squares in 4 ways, for example, as 1483728631056 + 2940511603264 = 1218084^2 + 1714792^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 953497731 + ... + 953502370.

It is an arithmetic number, because the mean of its divisors is an integer number (266026514229).

Almost surely, 24424240234320 is an apocalyptic number.

4424240234320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4424240234320 is an abundant number, since it is smaller than the sum of its proper divisors (6216820334840).

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

4424240234320 is a wasteful number, since it uses less digits than its factorization.

4424240234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907000143 (or 1907000137 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 4424240234320 its reverse (234320424244), we get a palindrome (4658560658564).

The spelling of 4424240234320 in words is "four trillion, four hundred twenty-four billion, two hundred forty million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 1907000101 3814000202 7628000404 9535000505 15256000808 19070001010 30512001616 38140002020 55303002929 76280004040 110606005858 152560008080 221212011716 276515014645 442424023432 553030029290 884848046864 1106060058580 2212120117160 4424240234320