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33330214020144 = 2431409492817217
BaseRepresentation
bin1111001010000010010111…
…00100010010010000110000
311101000100002220220022111110
413211001023210102100300
513332040234242121034
6154515404451113320
710010012526454146
oct745011344222060
9141010086808443
1033330214020144
11a69029a996608
1238a37512a2840
13157a0445b8782
14833296021596
153cbede4cdde9
hex1e504b912430

33330214020144 has 40 divisors (see below), whose sum is σ = 86164162395120. Its totient is φ = 11102186242048.

The previous prime is 33330214020139. The next prime is 33330214020151. The reversal of 33330214020144 is 44102041203333.

It is a happy number.

It is a super-2 number, since 2×333302140201442 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 246340977 + ... + 246476240.

It is an arithmetic number, because the mean of its divisors is an integer number (2154104059878).

Almost surely, 233330214020144 is an apocalyptic number.

It is an amenable number.

33330214020144 is an abundant number, since it is smaller than the sum of its proper divisors (52833948374976).

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

33330214020144 is a wasteful number, since it uses less digits than its factorization.

33330214020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492818637 (or 492818631 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 33330214020144 its reverse (44102041203333), we get a palindrome (77432255223477).

The spelling of 33330214020144 in words is "thirty-three trillion, three hundred thirty billion, two hundred fourteen million, twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1409 2818 4227 5636 8454 11272 16908 22544 33816 67632 492817217 985634434 1478451651 1971268868 2956903302 3942537736 5913806604 7885075472 11827613208 23655226416 694379458753 1388758917506 2083138376259 2777517835012 4166276752518 5555035670024 8332553505036 11110071340048 16665107010072 33330214020144