Search a number
-
+
23354055441 = 3211322963673
BaseRepresentation
bin10101110000000000…
…101001101100010001
32020021120202221100100
4111300000221230101
5340312114233231
614421222243013
71454510124123
oct256000515421
966246687310
1023354055441
1199a4834572
124639286469
132282535222
1411b7933213
1591a44a1e6
hex570029b11

23354055441 has 12 divisors (see below), whose sum is σ = 34032164868. Its totient is φ = 15431587584.

The previous prime is 23354055379. The next prime is 23354055451. The reversal of 23354055441 is 14455045332.

23354055441 is a `hidden beast` number, since 23 + 3 + 5 + 40 + 554 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 424524816 + 22929530625 = 20604^2 + 151425^2 .

It is not a de Polignac number, because 23354055441 - 26 = 23354055377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23354055396 and 23354055405.

It is not an unprimeable number, because it can be changed into a prime (23354055451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11480820 + ... + 11482853.

It is an arithmetic number, because the mean of its divisors is an integer number (2836013739).

Almost surely, 223354055441 is an apocalyptic number.

It is an amenable number.

23354055441 is a deficient number, since it is larger than the sum of its proper divisors (10678109427).

23354055441 is a wasteful number, since it uses less digits than its factorization.

23354055441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22963792 (or 22963789 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 23354055441 in words is "twenty-three billion, three hundred fifty-four million, fifty-five thousand, four hundred forty-one".

Divisors: 1 3 9 113 339 1017 22963673 68891019 206673057 2594895049 7784685147 23354055441