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146434434641 = 1117783071843
BaseRepresentation
bin1000100001100000101…
…1000010011001010001
3111222222021020000201022
42020120023002121101
54344344203402031
6151134314045225
713402532104655
oct2103013023121
9458867200638
10146434434641
115711446a120
1224468719815
1310a68967981
147132006a65
153c20a7097b
hex22182c2651

146434434641 has 8 divisors (see below), whose sum is σ = 169143518304. Its totient is φ = 125291494720.

The previous prime is 146434434613. The next prime is 146434434647.

It is a happy number.

146434434641 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-146434434641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 146434434592 and 146434434601.

It is not an unprimeable number, because it can be changed into a prime (146434434647) 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 7 ways as a sum of consecutive naturals, for example, 391535735 + ... + 391536108.

It is an arithmetic number, because the mean of its divisors is an integer number (21142939788).

Almost surely, 2146434434641 is an apocalyptic number.

146434434641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146434434641 is a deficient number, since it is larger than the sum of its proper divisors (22709083663).

146434434641 is a wasteful number, since it uses less digits than its factorization.

146434434641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783071871.

The product of its digits is 1327104, while the sum is 44.

The spelling of 146434434641 in words is "one hundred forty-six billion, four hundred thirty-four million, four hundred thirty-four thousand, six hundred forty-one".

Divisors: 1 11 17 187 783071843 8613790273 13312221331 146434434641