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41942220804 = 22321122921072
BaseRepresentation
bin100111000011111100…
…111000000000000100
311000021000200120120100
4213003330320000010
51141344202031204
631133515204100
73013236665061
oct470374700004
9130230616510
1041942220804
1116873321300
128166446630
133c55579743
14205c505c68
151157284a39
hex9c3f38004

41942220804 has 243 divisors, whose sum is σ = 121830577141. Its totient is φ = 12156809280.

The previous prime is 41942220743. The next prime is 41942220809. The reversal of 41942220804 is 40802224914.

The square root of 41942220804 is 204798.

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., 21993483204 + 19948737600 = 148302^2 + 141240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41942220809) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 391983319 + ... + 391983425.

Almost surely, 241942220804 is an apocalyptic number.

41942220804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

41942220804 is the 204798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41942220804

41942220804 is an abundant number, since it is smaller than the sum of its proper divisors (79888356337).

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

41942220804 is a wasteful number, since it uses less digits than its factorization.

41942220804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 41942220804 by its sum of digits (36), we get a square (1509919948944 = 12287882).

41942220804 divided by its sum of digits (36) gives a square (1165061689 = 341332).

The spelling of 41942220804 in words is "forty-one billion, nine hundred forty-two million, two hundred twenty thousand, eight hundred four".