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134444404000 = 255333611101
BaseRepresentation
bin111110100110110000…
…0101100110100100000
3110212000122212100202101
41331031200230310200
54200320231412000
6141432442100144
712466441402264
oct1751540546440
9425018770671
10134444404000
11520213a7695
12220811aa654
13c8a78b3a9a
1467158620a4
15376d11de6a
hex1f4d82cd20

134444404000 has 48 divisors (see below), whose sum is σ = 330329910456. Its totient is φ = 53777760000.

The previous prime is 134444403983. The next prime is 134444404043. The reversal of 134444404000 is 404444431.

134444404000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25076622736 + 109367781264 = 158356^2 + 330708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 134444404000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16801551 + ... + 16809550.

Almost surely, 2134444404000 is an apocalyptic number.

134444404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134444404000 is an abundant number, since it is smaller than the sum of its proper divisors (195885506456).

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

134444404000 is an equidigital number, since it uses as much as digits as its factorization.

134444404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33611126 (or 33611108 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 134444404000 its reverse (404444431), we get a palindrome (134848848431).

The spelling of 134444404000 in words is "one hundred thirty-four billion, four hundred forty-four million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 33611101 67222202 134444404 168055505 268888808 336111010 537777616 672222020 840277525 1075555232 1344444040 1680555050 2688888080 3361110100 4201387625 5377776160 6722220200 8402775250 13444440400 16805550500 26888880800 33611101000 67222202000 134444404000