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3434313431144 = 231657259076149
BaseRepresentation
bin110001111110011101000…
…010000011100001101000
3110011022120012121112222002
4301332131002003201220
5422231433214244034
611145411331350132
7503056326340001
oct61763502034150
913138505545862
103434313431144
111104536443832
12475714752348
131bbb1507604b
14bc3163261a8
155e50379ee7e
hex31f9d083868

3434313431144 has 16 divisors (see below), whose sum is σ = 6443223850500. Its totient is φ = 1716120404352.

The previous prime is 3434313431111. The next prime is 3434313431147. The reversal of 3434313431144 is 4411343134343.

It can be written as a sum of positive squares in 2 ways, for example, as 3370638964900 + 63674466244 = 1835930^2 + 252338^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3434313431098 and 3434313431107.

It is not an unprimeable number, because it can be changed into a prime (3434313431147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129524819 + ... + 129551330.

Almost surely, 23434313431144 is an apocalyptic number.

It is an amenable number.

3434313431144 is a deficient number, since it is larger than the sum of its proper divisors (3008910419356).

3434313431144 is a wasteful number, since it uses less digits than its factorization.

3434313431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259077812 (or 259077808 counting only the distinct ones).

The product of its digits is 248832, while the sum is 38.

Adding to 3434313431144 its reverse (4411343134343), we get a palindrome (7845656565487).

The spelling of 3434313431144 in words is "three trillion, four hundred thirty-four billion, three hundred thirteen million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 1657 3314 6628 13256 259076149 518152298 1036304596 2072609192 429289178893 858578357786 1717156715572 3434313431144