Search a number
-
+
333142340141 = 1340962656073
BaseRepresentation
bin1001101100100001101…
…01001011001000101101
31011211220021002100102102
410312100311023020231
520424233414341031
6413013220304445
733032402111612
oct4662065131055
91154807070372
10333142340141
11119315190a56
1254694842125
1325552224770
14121a4a46509
1589ec0e67cb
hex4d90d4b22d

333142340141 has 8 divisors (see below), whose sum is σ = 359645864760. Its totient is φ = 306764128512.

The previous prime is 333142340101. The next prime is 333142340177. The reversal of 333142340141 is 141043241333.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 167236830916 + 165905509225 = 408946^2 + 407315^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 333142340141 - 230 = 332068598317 is a prime.

It is a super-3 number, since 3×3331423401413 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333142340101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31322720 + ... + 31333353.

It is an arithmetic number, because the mean of its divisors is an integer number (44955733095).

Almost surely, 2333142340141 is an apocalyptic number.

It is an amenable number.

333142340141 is a deficient number, since it is larger than the sum of its proper divisors (26503524619).

333142340141 is a wasteful number, since it uses less digits than its factorization.

333142340141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62656495.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 333142340141 its reverse (141043241333), we get a palindrome (474185581474).

The spelling of 333142340141 in words is "three hundred thirty-three billion, one hundred forty-two million, three hundred forty thousand, one hundred forty-one".

Divisors: 1 13 409 5317 62656073 814528949 25626333857 333142340141