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42406341184 = 26257412
BaseRepresentation
bin100111011111100111…
…010110101001000000
311001110101000100001001
4213133213112221000
51143322010404214
631251535021344
73030603644524
oct473747265100
9131411010031
1042406341184
1116a91301869
12827596a854
133cca77b59c
1420a3ddbd84
151182db1c74
hex9df9d6a40

42406341184 has 21 divisors (see below), whose sum is σ = 84153352521. Its totient is φ = 21202346880.

The previous prime is 42406341163. The next prime is 42406341193. The reversal of 42406341184 is 48114360424.

The square root of 42406341184 is 205928.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30111966784 + 12294374400 = 173528^2 + 110880^2 .

It is a super-2 number, since 2×424063411842 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 1634554 + ... + 1660294.

It is an arithmetic number, because the mean of its divisors is an integer number (4007302501).

Almost surely, 242406341184 is an apocalyptic number.

42406341184 is the 205928-th square number.

It is an amenable number.

42406341184 is a deficient number, since it is larger than the sum of its proper divisors (41747011337).

42406341184 is an frugal number, since it uses more digits than its factorization.

42406341184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51494 (or 25743 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 42406341184 in words is "forty-two billion, four hundred six million, three hundred forty-one thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 25741 51482 102964 205928 411856 823712 1647424 662599081 1325198162 2650396324 5300792648 10601585296 21203170592 42406341184