Search a number
-
+
45102954576144 = 2431643095718767
BaseRepresentation
bin10100100000101010110011…
…00101011111100100010000
312220200210121110020111111110
422100111121211133210100
521402431322332414034
6235532002234413320
712333403155212043
oct1220253145374420
9186623543214443
1045102954576144
111340a0680324a3
125085308291240
131c2226230a46a
14b1cdcd462c5a
15533370c47de9
hex29055995f910

45102954576144 has 40 divisors (see below), whose sum is σ = 116516695489920. Its totient is φ = 15034224062848.

The previous prime is 45102954576143. The next prime is 45102954576151. The reversal of 45102954576144 is 44167545920154.

It is a super-2 number, since 2×451029545761442 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45102954576143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5027449 + ... + 10746215.

It is an arithmetic number, because the mean of its divisors is an integer number (2912917387248).

Almost surely, 245102954576144 is an apocalyptic number.

It is an amenable number.

45102954576144 is an abundant number, since it is smaller than the sum of its proper divisors (71413740913776).

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

45102954576144 is a wasteful number, since it uses less digits than its factorization.

45102954576144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883087 (or 5883081 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 45102954576144 in words is "forty-five trillion, one hundred two billion, nine hundred fifty-four million, five hundred seventy-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 164309 328618 492927 657236 985854 1314472 1971708 2628944 3943416 5718767 7886832 11437534 17156301 22875068 34312602 45750136 68625204 91500272 137250408 274500816 939644887003 1879289774006 2818934661009 3758579548012 5637869322018 7517159096024 11275738644036 15034318192048 22551477288072 45102954576144