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146306310057 = 3271772265049
BaseRepresentation
bin1000100001000010001…
…0010001111110101001
3111222122100010121211100
42020100202101332221
54344113403410212
6151113455552013
713366415054625
oct2102042217651
9458570117740
10146306310057
1157059109236
122443182b609
1310a482579cb
14711cdb4185
153c146b2bdc
hex2210891fa9

146306310057 has 12 divisors (see below), whose sum is σ = 211360875700. Its totient is φ = 97523906688.

The previous prime is 146306310043. The next prime is 146306310077. The reversal of 146306310057 is 750013603641.

146306310057 is a `hidden beast` number, since 1 + 4 + 630 + 6 + 3 + 10 + 0 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94386586176 + 51919723881 = 307224^2 + 227859^2 .

It is not a de Polignac number, because 146306310057 - 211 = 146306308009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146306310077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1067932 + ... + 1197117.

Almost surely, 2146306310057 is an apocalyptic number.

It is an amenable number.

146306310057 is a deficient number, since it is larger than the sum of its proper divisors (65054565643).

146306310057 is a wasteful number, since it uses less digits than its factorization.

146306310057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272232 (or 2272229 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 146306310057 its reverse (750013603641), we get a palindrome (896319913698).

The spelling of 146306310057 in words is "one hundred forty-six billion, three hundred six million, three hundred ten thousand, fifty-seven".

Divisors: 1 3 9 7177 21531 64593 2265049 6795147 20385441 16256256673 48768770019 146306310057