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42003122004 = 22321166753389
BaseRepresentation
bin100111000111100101…
…001100011101010100
311000102021021200022100
4213013211030131110
51142010244401004
631143532402100
73014606434434
oct470745143524
9130367250270
1042003122004
11168a4738278
128182916330
133c6508095c
14206663a2c4
15115c7b4739
hex9c794c754

42003122004 has 18 divisors (see below), whose sum is σ = 106174558490. Its totient is φ = 14001040656.

The previous prime is 42003121997. The next prime is 42003122039. The reversal of 42003122004 is 40022130024.

42003122004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 24180872004 + 17822250000 = 155502^2 + 133500^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 583376659 + ... + 583376730.

Almost surely, 242003122004 is an apocalyptic number.

It is an amenable number.

42003122004 is an abundant number, since it is smaller than the sum of its proper divisors (64171436486).

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

42003122004 is a wasteful number, since it uses less digits than its factorization.

42003122004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166753399 (or 1166753394 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42003122004 its reverse (40022130024), we get a palindrome (82025252028).

The spelling of 42003122004 in words is "forty-two billion, three million, one hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 1166753389 2333506778 3500260167 4667013556 7000520334 10500780501 14001040668 21001561002 42003122004