Search a number
-
+
33044000122404 = 22326771355818157
BaseRepresentation
bin1111000001101101001111…
…11000111010011000100100
311022222222100011221211210100
413200312213320322120210
513312343103012404104
6154140112030024100
76650231061460455
oct740664770723044
9138888304854710
1033044000122404
11a58a977682a57
123858194948030
131559060986a2b
148234a3bd712c
153c483c2a1139
hex1e0da7e3a624

33044000122404 has 36 divisors (see below), whose sum is σ = 83651268712284. Its totient is φ = 10998396881472.

The previous prime is 33044000122403. The next prime is 33044000122417. The reversal of 33044000122404 is 40422100044033.

It is a happy number.

33044000122404 is a `hidden beast` number, since 3 + 3 + 0 + 4 + 400 + 0 + 12 + 240 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31339283422500 + 1704716699904 = 5598150^2 + 1305648^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (33044000122403) 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, 677884707 + ... + 677933450.

It is an arithmetic number, because the mean of its divisors is an integer number (2323646353119).

Almost surely, 233044000122404 is an apocalyptic number.

It is an amenable number.

33044000122404 is an abundant number, since it is smaller than the sum of its proper divisors (50607268589880).

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

33044000122404 is a wasteful number, since it uses less digits than its factorization.

33044000122404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355818844 (or 1355818839 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 33044000122404 its reverse (40422100044033), we get a palindrome (73466100166437).

The spelling of 33044000122404 in words is "thirty-three trillion, forty-four billion, one hundred twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 677 1354 2031 2708 4062 6093 8124 12186 24372 1355818157 2711636314 4067454471 5423272628 8134908942 12202363413 16269817884 24404726826 48809453652 917888892289 1835777784578 2753666676867 3671555569156 5507333353734 8261000030601 11014666707468 16522000061202 33044000122404