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42004131104 = 2513223745137
BaseRepresentation
bin100111000111101001…
…000010110100100000
311000102100011221112102
4213013221002310200
51142011024143404
631144010145532
73014621136425
oct470751026440
9130370157472
1042004131104
11168a5267441
1281831222a8
133c65345060
14206681dd4c
15115c91371e
hex9c7a42d20

42004131104 has 48 divisors (see below), whose sum is σ = 89098620408. Its totient is φ = 19377426432.

The previous prime is 42004131053. The next prime is 42004131107. The reversal of 42004131104 is 40113140024.

It can be written as a sum of positive squares in 4 ways, for example, as 27350544400 + 14653586704 = 165380^2 + 121052^2 .

It is not an unprimeable number, because it can be changed into a prime (42004131107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 908024 + ... + 953160.

Almost surely, 242004131104 is an apocalyptic number.

It is an amenable number.

42004131104 is an abundant number, since it is smaller than the sum of its proper divisors (47094489304).

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

42004131104 is a wasteful number, since it uses less digits than its factorization.

42004131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47397 (or 47389 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 42004131104 its reverse (40113140024), we get a palindrome (82117271128).

The spelling of 42004131104 in words is "forty-two billion, four million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 2237 4474 8948 17896 29081 35792 45137 58162 71584 90274 116324 180548 232648 361096 465296 586781 722192 930592 1173562 1444384 2347124 4694248 9388496 18776992 100971469 201942938 403885876 807771752 1312629097 1615543504 2625258194 3231087008 5250516388 10501032776 21002065552 42004131104