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10442240240211 = 3213229547171237
BaseRepresentation
bin1001011111110100011000…
…0001010010101001010011
31100222021020200021011011100
42113331012001102221103
52332041202000141321
634113033212115443
72125266306353553
oct227750601225123
940867220234140
1010442240240211
11336659042904a
121207939165b83
135a99119c9730
1428159b213163
1513195ed3d326
hex97f46052a53

10442240240211 has 48 divisors (see below), whose sum is σ = 16317628104960. Its totient is φ = 6396673662720.

The previous prime is 10442240240203. The next prime is 10442240240261. The reversal of 10442240240211 is 11204204224401.

10442240240211 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 2 + 2 + 402 + 40 + 211 = 666.

It is not a de Polignac number, because 10442240240211 - 23 = 10442240240203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10442240240261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146548885 + ... + 146620121.

It is an arithmetic number, because the mean of its divisors is an integer number (339950585520).

Almost surely, 210442240240211 is an apocalyptic number.

10442240240211 is a deficient number, since it is larger than the sum of its proper divisors (5875387864749).

10442240240211 is a wasteful number, since it uses less digits than its factorization.

10442240240211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76956 (or 76953 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 10442240240211 its reverse (11204204224401), we get a palindrome (21646444464612).

The spelling of 10442240240211 in words is "ten trillion, four hundred forty-two billion, two hundred forty million, two hundred forty thousand, two hundred eleven".

Divisors: 1 3 9 13 39 117 229 687 2061 2977 5471 8931 16413 26793 49239 71123 71237 213369 213711 640107 641133 926081 1252859 2778243 3758577 8334729 11275731 16287167 16313273 48861501 48939819 146584503 146819457 212072549 389737627 636217647 1169212881 1908652941 3507638643 5066589151 15199767453 45599302359 89249916583 267749749749 803249249247 1160248915579 3480746746737 10442240240211