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34441010000 = 24543444101
BaseRepresentation
bin100000000100110110…
…000001101101010000
310021220020211120210222
4200010312001231100
51031013344310000
623453314212212
72326323516605
oct400466015520
9107806746728
1034441010000
1113674063631
126812284068
13332b486577
14194a19a6ac
15d68963a85
hex804d81b50

34441010000 has 50 divisors (see below), whose sum is σ = 83385153522. Its totient is φ = 13776400000.

The previous prime is 34441009913. The next prime is 34441010027. The reversal of 34441010000 is 1014443.

It can be written as a sum of positive squares in 5 ways, for example, as 10402368064 + 24038641936 = 101992^2 + 155044^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1712051 + ... + 1732050.

Almost surely, 234441010000 is an apocalyptic number.

It is an amenable number.

34441010000 is an abundant number, since it is smaller than the sum of its proper divisors (48944143522).

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

34441010000 is an equidigital number, since it uses as much as digits as its factorization.

34441010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444129 (or 3444108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 34441010000 its reverse (1014443), we get a palindrome (34442024443).

The spelling of 34441010000 in words is "thirty-four billion, four hundred forty-one million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 3444101 6888202 13776404 17220505 27552808 34441010 55105616 68882020 86102525 137764040 172205050 275528080 344410100 430512625 688820200 861025250 1377640400 1722050500 2152563125 3444101000 4305126250 6888202000 8610252500 17220505000 34441010000