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146349943641 = 3311492760753
BaseRepresentation
bin1000100001001100100…
…0101110101101011001
3111222202101020102212000
42020103020232231121
54344211041144031
6151122055111213
713400454665346
oct2102310565531
9458671212760
10146349943641
1157080800850
1224444372509
1310a542c43b5
147124ad17cd
153c184313e6
hex221322eb59

146349943641 has 16 divisors (see below), whose sum is σ = 236525161920. Its totient is φ = 88696935360.

The previous prime is 146349943637. The next prime is 146349943669.

146349943641 is a `hidden beast` number, since 14 + 63 + 499 + 43 + 6 + 41 = 666.

146349943641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 146349943641 - 22 = 146349943637 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (146349943631) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 246380080 + ... + 246380673.

It is an arithmetic number, because the mean of its divisors is an integer number (14782822620).

Almost surely, 2146349943641 is an apocalyptic number.

146349943641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146349943641 is a deficient number, since it is larger than the sum of its proper divisors (90175218279).

146349943641 is a wasteful number, since it uses less digits than its factorization.

146349943641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492760773 (or 492760767 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 146349943641 in words is "one hundred forty-six billion, three hundred forty-nine million, nine hundred forty-three thousand, six hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 492760753 1478282259 4434846777 5420368283 13304540331 16261104849 48783314547 146349943641