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333133040141 = 11241670910009
BaseRepresentation
bin1001101100100000100…
…01101100101000001101
31011211212121120212012222
410312100101230220031
520424224024241031
6413012245105125
733032230056116
oct4662021545015
91154777525188
10333133040141
1111930aa09800
12546916b81a5
13255503196c5
14121a370520d
1589eb3aae7b
hex4d9046ca0d

333133040141 has 24 divisors (see below), whose sum is σ = 375195420600. Its totient is φ = 295388121600.

The previous prime is 333133040137. The next prime is 333133040147. The reversal of 333133040141 is 141040331333.

It can be written as a sum of positive squares in 4 ways, for example, as 92768367241 + 240364672900 = 304579^2 + 490270^2 .

It is not a de Polignac number, because 333133040141 - 22 = 333133040137 is a prime.

It is a super-2 number, since 2×3331330401412 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 333133040141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333133040147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33278345 + ... + 33288353.

It is an arithmetic number, because the mean of its divisors is an integer number (15633142525).

Almost surely, 2333133040141 is an apocalyptic number.

It is an amenable number.

333133040141 is a deficient number, since it is larger than the sum of its proper divisors (42062380459).

333133040141 is a wasteful number, since it uses less digits than its factorization.

333133040141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16781 (or 16770 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 333133040141 its reverse (141040331333), we get a palindrome (474173371474).

The spelling of 333133040141 in words is "three hundred thirty-three billion, one hundred thirty-three million, forty thousand, one hundred forty-one".

Divisors: 1 11 41 121 451 4961 6709 10009 73799 110099 275069 410369 811789 1211089 3025759 4514059 33283349 49654649 67150381 738654191 2753165621 8125196101 30284821831 333133040141