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4434235000000 = 26571368219
BaseRepresentation
bin100000010000110110100…
…0000001000010011000000
3120200220112110110021010221
41000201231000020103000
51040122303130000000
613233020501032424
7635235322415551
oct100415500102300
916626473407127
104434235000000
11145a60406a1a3
125b74743b5714
132621ba010610
14114892194328
157a5281c261a
hex4086d0084c0

4434235000000 has 224 divisors, whose sum is σ = 11845200144960. Its totient is φ = 1637232000000.

The previous prime is 4434234999977. The next prime is 4434235000003. The reversal of 4434235000000 is 5324344.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4434235000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64965891 + ... + 65034109.

It is an arithmetic number, because the mean of its divisors is an integer number (52880357790).

Almost surely, 24434235000000 is an apocalyptic number.

4434235000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434235000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922600072480).

4434235000000 is an abundant number, since it is smaller than the sum of its proper divisors (7410965144960).

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

4434235000000 is an frugal number, since it uses more digits than its factorization.

4434235000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68279 (or 68239 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The spelling of 4434235000000 in words is "four trillion, four hundred thirty-four billion, two hundred thirty-five million", and thus it is an aban number.