Search a number
-
+
1223453738304 = 263271916139901
BaseRepresentation
bin10001110011011011100…
…001101000010101000000
311022221221121001110111200
4101303123201220111000
5130021113124111204
62334014043341200
7154251216121560
oct21633341502500
94287847043450
101223453738304
11431955815896
12179144221800
138b4a9682275
14433033a8da0
1521c58c76539
hex11cdb868540

1223453738304 has 336 divisors, whose sum is σ = 4221759684480. Its totient is φ = 330921676800.

The previous prime is 1223453738293. The next prime is 1223453738333. The reversal of 1223453738304 is 4038373543221.

1223453738304 is a `hidden beast` number, since 1 + 2 + 2 + 34 + 537 + 3 + 83 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 1223453738304.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 123563754 + ... + 123573654.

Almost surely, 21223453738304 is an apocalyptic number.

1223453738304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223453738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110879842240).

1223453738304 is an abundant number, since it is smaller than the sum of its proper divisors (2998305946176).

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

1223453738304 is a wasteful number, since it uses less digits than its factorization.

1223453738304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11558 (or 11545 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 1223453738304 in words is "one trillion, two hundred twenty-three billion, four hundred fifty-three million, seven hundred thirty-eight thousand, three hundred four".