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126016044444 = 22323500445679
BaseRepresentation
bin111010101011100100…
…1000011110110011100
3110001021021102100000100
41311113021003312130
54031040101410234
6133520241101100
712050536463403
oct1652711036634
9401237370010
10126016044444
1149496854384
122050a627790
13bb636acc94
14615633063a
15342820c399
hex1d57243d9c

126016044444 has 18 divisors (see below), whose sum is σ = 318540556880. Its totient is φ = 42005348136.

The previous prime is 126016044439. The next prime is 126016044457. The reversal of 126016044444 is 444440610621.

126016044444 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 1 + 604 + 4 + 4 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3500445679 = 126016044444 / (1 + 2 + 6 + 0 + 1 + 6 + 0 + 4 + 4 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 126016044399 and 126016044408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1750222804 + ... + 1750222875.

Almost surely, 2126016044444 is an apocalyptic number.

It is an amenable number.

126016044444 is an abundant number, since it is smaller than the sum of its proper divisors (192524512436).

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

126016044444 is a wasteful number, since it uses less digits than its factorization.

126016044444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500445689 (or 3500445684 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 126016044444 in words is "one hundred twenty-six billion, sixteen million, forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3500445679 7000891358 10501337037 14001782716 21002674074 31504011111 42005348148 63008022222 126016044444