Search a number
-
+
333001421441 = 13157731624009
BaseRepresentation
bin1001101100010000110…
…11100111001010000001
31011211112102220221022022
410312020123213022001
520423441330441231
6412551224051225
733026041244123
oct4661033471201
91154472827268
10333001421441
11119252691717
1254655603b15
132552bc85210
1412190043213
1589dea5cc7b
hex4d886e7281

333001421441 has 8 divisors (see below), whose sum is σ = 358639872360. Its totient is φ = 307366250112.

The previous prime is 333001421437. The next prime is 333001421483. The reversal of 333001421441 is 144124100333.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 54933984400 + 278067437041 = 234380^2 + 527321^2 .

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 333001421441 - 22 = 333001421437 is a prime.

It is a super-2 number, since 2×3330014214412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 333001421441.

It is not an unprimeable number, because it can be changed into a prime (333001421041) 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 7 ways as a sum of consecutive naturals, for example, 606956 + ... + 1017053.

It is an arithmetic number, because the mean of its divisors is an integer number (44829984045).

Almost surely, 2333001421441 is an apocalyptic number.

It is an amenable number.

333001421441 is a deficient number, since it is larger than the sum of its proper divisors (25638450919).

333001421441 is a wasteful number, since it uses less digits than its factorization.

333001421441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639795.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 333001421441 its reverse (144124100333), we get a palindrome (477125521774).

The spelling of 333001421441 in words is "three hundred thirty-three billion, one million, four hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 13 15773 205049 1624009 21112117 25615493957 333001421441