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10444450000 = 2455208889
BaseRepresentation
bin10011011101000100…
…11010100011010000
3222221220002000220111
421232202122203100
5132342234400000
64444220451104
7516552234355
oct115642324320
928856060814
1010444450000
11447a68a966
1220359a9a94
13ca5ac2c3a
147111b862c
15411e01cba
hex26e89a8d0

10444450000 has 60 divisors (see below), whose sum is σ = 25293654540. Its totient is φ = 4177760000.

The previous prime is 10444449997. The next prime is 10444450007. The reversal of 10444450000 is 5444401.

It can be written as a sum of positive squares in 6 ways, for example, as 9628319376 + 816130624 = 98124^2 + 28568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444450007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54445 + ... + 154444.

It is an arithmetic number, because the mean of its divisors is an integer number (421560909).

Almost surely, 210444450000 is an apocalyptic number.

10444450000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10444450000 is an abundant number, since it is smaller than the sum of its proper divisors (14849204540).

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

10444450000 is an frugal number, since it uses more digits than its factorization.

10444450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208922 (or 208896 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 10444450000 its reverse (5444401), we get a palindrome (10449894401).

The spelling of 10444450000 in words is "ten billion, four hundred forty-four million, four hundred fifty 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 3125 5000 6250 10000 12500 25000 50000 208889 417778 835556 1044445 1671112 2088890 3342224 4177780 5222225 8355560 10444450 16711120 20888900 26111125 41777800 52222250 83555600 104444500 130555625 208889000 261111250 417778000 522222500 652778125 1044445000 1305556250 2088890000 2611112500 5222225000 10444450000