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33442103040444 = 22327132706758097
BaseRepresentation
bin1111001101010010110001…
…01011000001100110111100
311101102000220122211110120100
413212221120223001212330
513340403411334243234
6155043031241121100
710021053326444340
oct746513053014674
9141360818743510
1033442103040444
11a72379737261a
123901378789190
131587766273767
1483886c051620
153ced8c366399
hex1e6a58ac19bc

33442103040444 has 36 divisors (see below), whose sum is σ = 96610519895344. Its totient is φ = 9554886582912.

The previous prime is 33442103040439. The next prime is 33442103040461. The reversal of 33442103040444 is 44404030124433.

33442103040444 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 210 + 30 + 404 + 4 + 4 = 666.

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

It is a super-2 number, since 2×334421030404442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33442103040399 and 33442103040408.

It is a congruent number.

It is an unprimeable number.

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, 66353378797 + ... + 66353379300.

Almost surely, 233442103040444 is an apocalyptic number.

It is an amenable number.

33442103040444 is an abundant number, since it is smaller than the sum of its proper divisors (63168416854900).

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

33442103040444 is a wasteful number, since it uses less digits than its factorization.

33442103040444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132706758114 (or 132706758109 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 33442103040444 its reverse (44404030124433), we get a palindrome (77846133164877).

The spelling of 33442103040444 in words is "thirty-three trillion, four hundred forty-two billion, one hundred three million, forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 132706758097 265413516194 398120274291 530827032388 796240548582 928947306679 1194360822873 1592481097164 1857894613358 2388721645746 2786841920037 3715789226716 4777443291492 5573683840074 8360525760111 11147367680148 16721051520222 33442103040444