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444044000080 = 2455550550001
BaseRepresentation
bin1100111011000110001…
…01011011101101010000
31120110011012010101201001
412131203011123231100
524233400231000310
6535554015551344
744036552503342
oct6354305335520
91513135111631
10444044000080
1116135529756a
127208552b554
1332b47479755
14176c5899292
15b83d44793a
hex676315bb50

444044000080 has 20 divisors (see below), whose sum is σ = 1032402300372. Its totient is φ = 177617600000.

The previous prime is 444044000053. The next prime is 444044000173. The reversal of 444044000080 is 80000440444.

It can be written as a sum of positive squares in 2 ways, for example, as 175467156544 + 268576843536 = 418888^2 + 518244^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2775274921 + ... + 2775275080.

Almost surely, 2444044000080 is an apocalyptic number.

444044000080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444044000080 is an abundant number, since it is smaller than the sum of its proper divisors (588358300292).

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

444044000080 is a wasteful number, since it uses less digits than its factorization.

444044000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5550550014 (or 5550550008 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The spelling of 444044000080 in words is "four hundred forty-four billion, forty-four million, eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 40 80 5550550001 11101100002 22202200004 27752750005 44404400008 55505500010 88808800016 111011000020 222022000040 444044000080