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4042412003133 = 337167478326777
BaseRepresentation
bin111010110100110010100…
…010000000111100111101
3112022110011122100200201000
4322310302202000330331
51012212324433100013
612333020342240513
7565024511042040
oct72646242007475
915273148320630
104042412003133
111319417210329
12553543726139
132342757aa18a
14dd921db2c57
15702445d9973
hex3ad32880f3d

4042412003133 has 64 divisors (see below), whose sum is σ = 6886975979520. Its totient is φ = 2295551892096.

The previous prime is 4042412003083. The next prime is 4042412003159. The reversal of 4042412003133 is 3313002142404.

4042412003133 is a `hidden beast` number, since 4 + 0 + 424 + 1 + 200 + 3 + 1 + 33 = 666.

4042412003133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4042412003133 - 212 = 4042411999037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4042412003097 and 4042412003106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042412008133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150952441 + ... + 150979217.

It is an arithmetic number, because the mean of its divisors is an integer number (107608999680).

Almost surely, 24042412003133 is an apocalyptic number.

It is an amenable number.

4042412003133 is a deficient number, since it is larger than the sum of its proper divisors (2844563976387).

4042412003133 is a wasteful number, since it uses less digits than its factorization.

4042412003133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31743 (or 31737 counting only the distinct ones).

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

Adding to 4042412003133 its reverse (3313002142404), we get a palindrome (7355414145537).

The spelling of 4042412003133 in words is "four trillion, forty-two billion, four hundred twelve million, three thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 167 189 501 1169 1503 3507 4509 4783 10521 14349 26777 31563 33481 43047 80331 100443 129141 187439 240993 301329 562317 722979 798761 903987 1686951 2396283 4471759 5060853 5591327 7188849 13415277 16773981 21566547 31302313 40245831 50321943 93906939 120737493 128074391 150965829 281720817 384223173 845162451 896520737 1152669519 2689562211 3458008557 8068686633 21388423297 24206059899 64165269891 149718963079 192495809673 449156889237 577487429019 1347470667711 4042412003133