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45142424352441 = 3313977131638583
BaseRepresentation
bin10100100001110100010100…
…01010101111011010111001
312220211120111011120212211000
422100322022022233122321
521404103141113234231
6240002050552555213
712336301233606123
oct1220721212573271
9186746434525730
1045142424352441
1113424881760629
125090aa26b2b09
131c25bb2584b90
14b20c9544c213
155343d0de66e6
hex290e8a2af6b9

45142424352441 has 32 divisors (see below), whose sum is σ = 72095819685120. Its totient is φ = 27751519302912.

The previous prime is 45142424352427. The next prime is 45142424352491. The reversal of 45142424352441 is 14425342424154.

45142424352441 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 2 + 42 + 43 + 524 + 41 = 666.

45142424352441 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 45142424352441 - 215 = 45142424319673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45142424352491) 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 31 ways as a sum of consecutive naturals, for example, 65476365 + ... + 66162218.

It is an arithmetic number, because the mean of its divisors is an integer number (2252994365160).

Almost surely, 245142424352441 is an apocalyptic number.

It is an amenable number.

45142424352441 is a deficient number, since it is larger than the sum of its proper divisors (26953395332679).

45142424352441 is a wasteful number, since it uses less digits than its factorization.

45142424352441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131639582 (or 131639576 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 45.

Adding to 45142424352441 its reverse (14425342424154), we get a palindrome (59567766776595).

The spelling of 45142424352441 in words is "forty-five trillion, one hundred forty-two billion, four hundred twenty-four million, three hundred fifty-two thousand, four hundred forty-one".

Divisors: 1 3 9 13 27 39 117 351 977 2931 8793 12701 26379 38103 114309 342927 131638583 394915749 1184747247 1711301579 3554241741 5133904737 15401714211 46205142633 128610895591 385832686773 1157498060319 1671941642683 3472494180957 5015824928049 15047474784147 45142424352441