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444024124020 = 223252466800689
BaseRepresentation
bin1100111011000011110…
…01100111001001110100
31120110002210201120212200
412131201321213021310
524233330133432040
6535552025544500
744036221531551
oct6354171471164
91513083646780
10444024124020
11161345051374
127207a945130
1332b4330a879
14176c2da3a28
15b83b81d630
hex6761e67274

444024124020 has 36 divisors (see below), whose sum is σ = 1346873176740. Its totient is φ = 118406433024.

The previous prime is 444024124007. The next prime is 444024124081. The reversal of 444024124020 is 20421420444.

It can be written as a sum of positive squares in 2 ways, for example, as 295820683236 + 148203440784 = 543894^2 + 384972^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1233400165 + ... + 1233400524.

Almost surely, 2444024124020 is an apocalyptic number.

It is an amenable number.

444024124020 is an abundant number, since it is smaller than the sum of its proper divisors (902849052720).

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

444024124020 is a wasteful number, since it uses less digits than its factorization.

444024124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466800704 (or 2466800699 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 444024124020 its reverse (20421420444), we get a palindrome (464445544464).

The spelling of 444024124020 in words is "four hundred forty-four billion, twenty-four million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2466800689 4933601378 7400402067 9867202756 12334003445 14800804134 22201206201 24668006890 29601608268 37002010335 44402412402 49336013780 74004020670 88804824804 111006031005 148008041340 222012062010 444024124020