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42213344004 = 223213891013477
BaseRepresentation
bin100111010100000111…
…001000001100000100
311000221220212001200100
4213110013020030010
51142423104002004
631220442244100
73023041334526
oct472407101404
9130856761610
1042213344004
11169a2372167
1282211b6630
133c997a6880
14208651da16
151170e8c739
hex9d41c8304

42213344004 has 72 divisors (see below), whose sum is σ = 116205387480. Its totient is φ = 12842767872.

The previous prime is 42213344003. The next prime is 42213344027. The reversal of 42213344004 is 40044331224.

It is a happy number.

42213344004 is a `hidden beast` number, since 4 + 2 + 213 + 3 + 440 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4421984004 + 37791360000 = 66498^2 + 194400^2 .

It is not an unprimeable number, because it can be changed into a prime (42213344003) 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 23 ways as a sum of consecutive naturals, for example, 465087 + ... + 548390.

It is an arithmetic number, because the mean of its divisors is an integer number (1613963715).

Almost surely, 242213344004 is an apocalyptic number.

It is an amenable number.

42213344004 is an abundant number, since it is smaller than the sum of its proper divisors (73992043476).

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

42213344004 is a wasteful number, since it uses less digits than its factorization.

42213344004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013589 (or 1013584 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42213344004 its reverse (40044331224), we get a palindrome (82257675228).

The spelling of 42213344004 in words is "forty-two billion, two hundred thirteen million, three hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 89 117 156 178 234 267 356 468 534 801 1068 1157 1602 2314 3204 3471 4628 6942 10413 13884 20826 41652 1013477 2026954 3040431 4053908 6080862 9121293 12161724 13175201 18242586 26350402 36485172 39525603 52700804 79051206 90199453 118576809 158102412 180398906 237153618 270598359 360797812 474307236 541196718 811795077 1082393436 1172592889 1623590154 2345185778 3247180308 3517778667 4690371556 7035557334 10553336001 14071114668 21106672002 42213344004