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42601248441 = 3237127931677
BaseRepresentation
bin100111101011001110…
…110111011010111001
311001221221202122112100
4213223032313122321
51144221404422231
631323140334013
73035461431333
oct475316673271
9131857678470
1042601248441
1117081326544
12830b0a4309
13402bc7181b
1420c1c56453
1511950621e6
hex9eb3b76b9

42601248441 has 12 divisors (see below), whose sum is σ = 63198248932. Its totient is φ = 27633242016.

The previous prime is 42601248433. The next prime is 42601248461. The reversal of 42601248441 is 14484210624.

42601248441 is a `hidden beast` number, since 4 + 2 + 601 + 2 + 4 + 8 + 4 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39672274041 + 2928974400 = 199179^2 + 54120^2 .

It is not a de Polignac number, because 42601248441 - 23 = 42601248433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42601248396 and 42601248405.

It is not an unprimeable number, because it can be changed into a prime (42601248421) 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 11 ways as a sum of consecutive naturals, for example, 63965506 + ... + 63966171.

Almost surely, 242601248441 is an apocalyptic number.

It is an amenable number.

42601248441 is a deficient number, since it is larger than the sum of its proper divisors (20597000491).

42601248441 is a wasteful number, since it uses less digits than its factorization.

42601248441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127931720 (or 127931717 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 42601248441 in words is "forty-two billion, six hundred one million, two hundred forty-eight thousand, four hundred forty-one".

Divisors: 1 3 9 37 111 333 127931677 383795031 1151385093 4733472049 14200416147 42601248441