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41141442304 = 28436315923
BaseRepresentation
bin100110010100001110…
…001001011100000000
310221012012212210222101
4212110032021130000
51133224202123204
630522231520144
72654344326634
oct462416113400
9127165783871
1041141442304
11164a22a9596
127b82229054
133b586b3401
141dc4016dc4
15110bd06ea4
hex994389700

41141442304 has 72 divisors (see below), whose sum is σ = 84179376512. Its totient is φ = 20057103360.

The previous prime is 41141442233. The next prime is 41141442317. The reversal of 41141442304 is 40324414114.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6943087 + ... + 6949009.

Almost surely, 241141442304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41141442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42089688256).

41141442304 is an abundant number, since it is smaller than the sum of its proper divisors (43037934208).

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

41141442304 is an equidigital number, since it uses as much as digits as its factorization.

41141442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 41141442304 its reverse (40324414114), we get a palindrome (81465856418).

The spelling of 41141442304 in words is "forty-one billion, one hundred forty-one million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 631 688 1262 1376 2524 2752 5048 5504 5923 10096 11008 11846 20192 23692 27133 40384 47384 54266 80768 94768 108532 161536 189536 217064 254689 379072 434128 509378 758144 868256 1018756 1516288 1736512 2037512 3473024 3737413 4075024 6946048 7474826 8150048 14949652 16300096 29899304 32600192 59798608 65200384 119597216 160708759 239194432 321417518 478388864 642835036 956777728 1285670072 2571340144 5142680288 10285360576 20570721152 41141442304