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4430041341000 = 23353111049127973
BaseRepresentation
bin100000001110111001100…
…0010100101110001001000
3120200111201012100022111020
41000131303002211301020
51040040211040403000
613231044412232440
7635026361044512
oct100356302456110
916614635308436
104430041341000
111458851934110
125b66a3a6b720
1326199c244ba2
141145b522cbb2
157a37ee46ba0
hex407730a5c48

4430041341000 has 256 divisors, whose sum is σ = 15092741664000. Its totient is φ = 1072917248000.

The previous prime is 4430041340983. The next prime is 4430041341029. The reversal of 4430041341000 is 1431400344.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 34553014 + ... + 34680986.

It is an arithmetic number, because the mean of its divisors is an integer number (58956022125).

Almost surely, 24430041341000 is an apocalyptic number.

4430041341000 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 4430041341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7546370832000).

4430041341000 is an abundant number, since it is smaller than the sum of its proper divisors (10662700323000).

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

4430041341000 is a wasteful number, since it uses less digits than its factorization.

4430041341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129057 (or 129043 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4430041341000 its reverse (1431400344), we get a palindrome (4431472741344).

The spelling of 4430041341000 in words is "four trillion, four hundred thirty billion, forty-one million, three hundred forty-one thousand".