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10442240240045 = 517163697505033
BaseRepresentation
bin1001011111110100011000…
…0001010010100110101101
31100222021020200021010221012
42113331012001102212231
52332041202000140140
634113033212115005
72125266306353225
oct227750601224655
940867220233835
1010442240240045
113366590428a09
121207939165a65
135a99119c9633
1428159b213085
1513195ed3d265
hex97f460529ad

10442240240045 has 16 divisors (see below), whose sum is σ = 13268599910640. Its totient is φ = 7861911281664.

The previous prime is 10442240240017. The next prime is 10442240240093. The reversal of 10442240240045 is 54004204224401.

10442240240045 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 8 ways, for example, as 911257341604 + 9530982898441 = 954598^2 + 3087229^2 .

It is a cyclic number.

It is not a de Polignac number, because 10442240240045 - 218 = 10442239977901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10442240239993 and 10442240240020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2361152 + ... + 5143881.

It is an arithmetic number, because the mean of its divisors is an integer number (829287494415).

Almost surely, 210442240240045 is an apocalyptic number.

It is an amenable number.

10442240240045 is a deficient number, since it is larger than the sum of its proper divisors (2826359670595).

10442240240045 is a wasteful number, since it uses less digits than its factorization.

10442240240045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7521424.

The product of its (nonzero) digits is 40960, while the sum is 32.

Adding to 10442240240045 its reverse (54004204224401), we get a palindrome (64446444464446).

The spelling of 10442240240045 in words is "ten trillion, four hundred forty-two billion, two hundred forty million, two hundred forty thousand, forty-five".

Divisors: 1 5 17 85 16369 81845 278273 1391365 7505033 37525165 127585561 637927805 122849885177 614249425885 2088448048009 10442240240045