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4141123401042 = 2321432116064689
BaseRepresentation
bin111100010000101110001…
…100000111010101010010
3112122212222000021021012100
4330100232030013111102
51020322010042313132
612450223354141230
7605120620061115
oct74205614072522
915585860237170
104141123401042
111357271223621
1256a6b1a21816
13240677342874
14104607c3c57c
1572ac063637c
hex3c42e307552

4141123401042 has 24 divisors (see below), whose sum is σ = 8973061117020. Its totient is φ = 1380277992960.

The previous prime is 4141123401013. The next prime is 4141123401091. The reversal of 4141123401042 is 2401043211414.

4141123401042 is a `hidden beast` number, since 4 + 1 + 411 + 234 + 0 + 10 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4131995318361 + 9128082681 = 2032731^2 + 95541^2 .

It is a super-2 number, since 2×41411234010422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4141123400997 and 4141123401015.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7774567 + ... + 8290122.

Almost surely, 24141123401042 is an apocalyptic number.

4141123401042 is an abundant number, since it is smaller than the sum of its proper divisors (4831937715978).

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

4141123401042 is a wasteful number, since it uses less digits than its factorization.

4141123401042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16079018 (or 16079015 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4141123401042 its reverse (2401043211414), we get a palindrome (6542166612456).

The spelling of 4141123401042 in words is "four trillion, one hundred forty-one billion, one hundred twenty-three million, four hundred one thousand, forty-two".

Divisors: 1 2 3 6 9 18 14321 28642 42963 85926 128889 257778 16064689 32129378 48194067 96388134 144582201 289164402 230062411169 460124822338 690187233507 1380374467014 2070561700521 4141123401042