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434144402244 = 223271722795247
BaseRepresentation
bin1100101000101010000…
…01011101101101000100
31112111121021021201110100
412110111001131231010
524103111431332434
6531235421124100
743236334350150
oct6242501355504
91474537251410
10434144402244
11158135219153
12701820b9630
1331c2a513b57
1417026bd0060
15b45e2bd699
hex651505db44

434144402244 has 36 divisors (see below), whose sum is σ = 1254194940544. Its totient is φ = 124041257712.

The previous prime is 434144402243. The next prime is 434144402249. The reversal of 434144402244 is 442204441434.

It is a happy number.

434144402244 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 4 + 4 + 402 + 244 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 434144402199 and 434144402208.

It is not an unprimeable number, because it can be changed into a prime (434144402243) 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 11 ways as a sum of consecutive naturals, for example, 861397372 + ... + 861397875.

Almost surely, 2434144402244 is an apocalyptic number.

It is an amenable number.

434144402244 is an abundant number, since it is smaller than the sum of its proper divisors (820050538300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434144402244 is a wasteful number, since it uses less digits than its factorization.

434144402244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722795264 (or 1722795259 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 434144402244 its reverse (442204441434), we get a palindrome (876348843678).

The spelling of 434144402244 in words is "four hundred thirty-four billion, one hundred forty-four million, four hundred two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1722795247 3445590494 5168385741 6891180988 10336771482 12059566729 15505157223 20673542964 24119133458 31010314446 36178700187 48238266916 62020628892 72357400374 108536100561 144714800748 217072201122 434144402244