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42004414344 = 23310330495573
BaseRepresentation
bin100111000111101010…
…000111111110001000
311000102100201100001210
4213013222013332020
51142011112224334
631144020213120
73014623426254
oct470752077610
9130370640053
1042004414344
11168a5440222
12818323a1a0
133c65413c59
142066895264
15115c96c5e9
hex9c7a87f88

42004414344 has 64 divisors (see below), whose sum is σ = 106084368000. Its totient is φ = 13858500096.

The previous prime is 42004414339. The next prime is 42004414367. The reversal of 42004414344 is 44341440024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7534342 + ... + 7539914.

It is an arithmetic number, because the mean of its divisors is an integer number (1657568250).

Almost surely, 242004414344 is an apocalyptic number.

It is an amenable number.

42004414344 is an abundant number, since it is smaller than the sum of its proper divisors (64079953656).

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

42004414344 is a wasteful number, since it uses less digits than its factorization.

42004414344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8734 (or 8730 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 42004414344 its reverse (44341440024), we get a palindrome (86345854368).

The spelling of 42004414344 in words is "forty-two billion, four million, four hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 103 206 309 412 618 824 1236 2472 3049 5573 6098 9147 11146 12196 16719 18294 22292 24392 33438 36588 44584 66876 73176 133752 314047 574019 628094 942141 1148038 1256188 1722057 1884282 2296076 2512376 3444114 3768564 4592152 6888228 7537128 13776456 16992077 33984154 50976231 67968308 101952462 135936616 203904924 407809848 1750183931 3500367862 5250551793 7000735724 10501103586 14001471448 21002207172 42004414344