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42541074304 = 272571293199
BaseRepresentation
bin100111100111101001…
…010100011110000000
311001210202112111010121
4213213221110132000
51144111003334204
631313150510024
73034131110461
oct474751243600
9131722474117
1042541074304
1117050366853
1282b2b05314
13401c663521
1420b7c70d68
15118eb27b54
hex9e7a54780

42541074304 has 32 divisors (see below), whose sum is σ = 85079628000. Its totient is φ = 21187756032.

The previous prime is 42541074299. The next prime is 42541074383. The reversal of 42541074304 is 40347014524.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×425410743043 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42541074304.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 613704 + ... + 679495.

It is an arithmetic number, because the mean of its divisors is an integer number (2658738375).

Almost surely, 242541074304 is an apocalyptic number.

It is an amenable number.

42541074304 is a deficient number, since it is larger than the sum of its proper divisors (42538553696).

42541074304 is a wasteful number, since it uses less digits than its factorization.

42541074304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293470 (or 1293458 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

Adding to 42541074304 its reverse (40347014524), we get a palindrome (82888088828).

The spelling of 42541074304 in words is "forty-two billion, five hundred forty-one million, seventy-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 257 514 1028 2056 4112 8224 16448 32896 1293199 2586398 5172796 10345592 20691184 41382368 82764736 165529472 332352143 664704286 1329408572 2658817144 5317634288 10635268576 21270537152 42541074304