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305454077041 = 432128532
BaseRepresentation
bin1000111000111100111…
…10110101010001110001
31002012102121201211220111
410130132132311101301
520001032220431131
6352153524541321
731032302546521
oct4343636652161
91065377654814
10305454077041
111085a6955093
124b247b51841
1322a5ba83b29
1410ad9643681
157e2b40bab1
hex471e7b5471

305454077041 has 9 divisors (see below), whose sum is σ = 312747192459. Its totient is φ = 298327281336.

The previous prime is 305454076969. The next prime is 305454077111. The reversal of 305454077041 is 140770454503.

The square root of 305454077041 is 552679.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 74673760225 + 230780316816 = 273265^2 + 480396^2 .

It is not a de Polignac number, because 305454077041 - 27 = 305454076913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 305454076985 and 305454077003.

It is not an unprimeable number, because it can be changed into a prime (305454077741) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23758771 + ... + 23771623.

It is an arithmetic number, because the mean of its divisors is an integer number (34749688051).

Almost surely, 2305454077041 is an apocalyptic number.

305454077041 is the 552679-th square number.

305454077041 is the 276340-th centered octagonal number.

It is an amenable number.

305454077041 is a deficient number, since it is larger than the sum of its proper divisors (7293115418).

305454077041 is an frugal number, since it uses more digits than its factorization.

305454077041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25792 (or 12896 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The spelling of 305454077041 in words is "three hundred five billion, four hundred fifty-four million, seventy-seven thousand, forty-one".

Divisors: 1 43 1849 12853 552679 23765197 165199609 7103583187 305454077041