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42010449249 = 31729157917989
BaseRepresentation
bin100111001000000001…
…001001010101100001
311000102210001221101210
4213020001021111201
51142014133333444
631144353420333
73015025632606
oct471001112541
9130383057353
1042010449249
11168a889234a
12818526a6a9
133c66747ac2
1420675c66ad
15115d2607b9
hex9c8049561

42010449249 has 32 divisors (see below), whose sum is σ = 61396272000. Its totient is φ = 25433017344.

The previous prime is 42010449241. The next prime is 42010449251. The reversal of 42010449249 is 94294401024.

It is not a de Polignac number, because 42010449249 - 23 = 42010449241 is a prime.

It is a super-2 number, since 2×420104492492 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42010449241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2326347 + ... + 2344335.

It is an arithmetic number, because the mean of its divisors is an integer number (1918633500).

Almost surely, 242010449249 is an apocalyptic number.

It is an amenable number.

42010449249 is a deficient number, since it is larger than the sum of its proper divisors (19385822751).

42010449249 is a wasteful number, since it uses less digits than its factorization.

42010449249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19617.

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 42010449249 in words is "forty-two billion, ten million, four hundred forty-nine thousand, two hundred forty-nine".

Divisors: 1 3 17 29 51 87 493 1479 1579 4737 17989 26843 45791 53967 80529 137373 305813 521681 778447 917439 1565043 2335341 8868577 26605731 28404631 85213893 482878727 823734299 1448636181 2471202897 14003483083 42010449249