Search a number
-
+
42566540260240 = 2451180145087853
BaseRepresentation
bin10011010110110110010111…
…00000101111001110010000
312120201022200101020000200001
421223123023200233032100
521034402233301311430
6230310444301135344
711652221356232113
oct1153331340571620
9176638611200601
1042566540260240
11126214062a6767
12493582025a554
131a9a0136b2a49
14a723354c657a
154dc3c03353ca
hex26b6cb82f390

42566540260240 has 40 divisors (see below), whose sum is σ = 98975594640888. Its totient is φ = 17025172915200.

The previous prime is 42566540260187. The next prime is 42566540260261. The reversal of 42566540260240 is 4206204566524.

42566540260240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12326615421184 + 30239924839056 = 3510928^2 + 5499084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 21599847 + ... + 23488006.

Almost surely, 242566540260240 is an apocalyptic number.

42566540260240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42566540260240 is an abundant number, since it is smaller than the sum of its proper divisors (56409054380648).

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

42566540260240 is a wasteful number, since it uses less digits than its factorization.

42566540260240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45099667 (or 45099661 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 46.

The spelling of 42566540260240 in words is "forty-two trillion, five hundred sixty-six billion, five hundred forty million, two hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 11801 23602 47204 59005 94408 118010 188816 236020 472040 944080 45087853 90175706 180351412 225439265 360702824 450878530 721405648 901757060 1803514120 3607028240 532081753253 1064163506506 2128327013012 2660408766265 4256654026024 5320817532530 8513308052048 10641635065060 21283270130120 42566540260240