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4042122212004 = 2231945738793449
BaseRepresentation
bin111010110100100001010…
…000100011001010100100
3112022102102110001210000020
4322310201100203022210
51012211231241241004
612332531511115140
7565014361621662
oct72644120431244
915272373053006
104042122212004
111319288679a28
12553482672ab0
1323422a745036
14dd8d56d9c32
1570228e458d9
hex3ad214232a4

4042122212004 has 48 divisors (see below), whose sum is σ = 9949744056000. Its totient is φ = 1273666484736.

The previous prime is 4042122212003. The next prime is 4042122212017. The reversal of 4042122212004 is 4002122212404.

It is a happy number.

It is a super-2 number, since 2×40421222120042 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4042122212003) 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 15 ways as a sum of consecutive naturals, for example, 19292529 + ... + 19500920.

It is an arithmetic number, because the mean of its divisors is an integer number (207286334500).

Almost surely, 24042122212004 is an apocalyptic number.

It is an amenable number.

4042122212004 is an abundant number, since it is smaller than the sum of its proper divisors (5907621843996).

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

4042122212004 is a wasteful number, since it uses less digits than its factorization.

4042122212004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38793932 (or 38793930 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4042122212004 its reverse (4002122212404), we get a palindrome (8044244424408).

The spelling of 4042122212004 in words is "four trillion, forty-two billion, one hundred twenty-two million, two hundred twelve thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 457 914 1371 1828 2742 5484 8683 17366 26049 34732 52098 104196 38793449 77586898 116380347 155173796 232760694 465521388 737075531 1474151062 2211226593 2948302124 4422453186 8844906372 17728606193 35457212386 53185818579 70914424772 106371637158 212743274316 336843517667 673687035334 1010530553001 1347374070668 2021061106002 4042122212004