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321004142433 = 32132743625149
BaseRepresentation
bin1001010101111010101…
…01100111111101100001
31010200120022221000110100
410222331111213331201
520224404030024213
6403244532453013
732122532122242
oct4527525477541
91120508830410
10321004142433
111141565193a7
125226777a169
1324369564060
1411772932cc9
15853b678773
hex4abd567f61

321004142433 has 12 divisors (see below), whose sum is σ = 499339777300. Its totient is φ = 197541010656.

The previous prime is 321004142429. The next prime is 321004142461. The reversal of 321004142433 is 334241400123.

321004142433 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 0 + 414 + 243 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57031171344 + 263972971089 = 238812^2 + 513783^2 .

It is not a de Polignac number, because 321004142433 - 22 = 321004142429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321004142397 and 321004142406.

It is not an unprimeable number, because it can be changed into a prime (321004142033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1371812458 + ... + 1371812691.

Almost surely, 2321004142433 is an apocalyptic number.

It is an amenable number.

321004142433 is a deficient number, since it is larger than the sum of its proper divisors (178335634867).

321004142433 is a wasteful number, since it uses less digits than its factorization.

321004142433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743625168 (or 2743625165 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 321004142433 its reverse (334241400123), we get a palindrome (655245542556).

The spelling of 321004142433 in words is "three hundred twenty-one billion, four million, one hundred forty-two thousand, four hundred thirty-three".

Divisors: 1 3 9 13 39 117 2743625149 8230875447 24692626341 35667126937 107001380811 321004142433