Search a number
-
+
41040401100 = 22352672041811
BaseRepresentation
bin100110001110001100…
…101101001011001100
310220221011202101111120
4212032030231023030
51133022320313400
630504222120540
72652006440106
oct461614551314
9126834671446
1041040401100
1116450266866
127b54420150
133b40796a0a
141db4834576
151102ee8ca0
hex98e32d2cc

41040401100 has 72 divisors (see below), whose sum is σ = 120515911488. Its totient is φ = 10780756800.

The previous prime is 41040401093. The next prime is 41040401159. The reversal of 41040401100 is 110404014.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41040401100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1000806 + ... + 1041005.

It is an arithmetic number, because the mean of its divisors is an integer number (1673832104).

Almost surely, 241040401100 is an apocalyptic number.

It is an amenable number.

41040401100 is an abundant number, since it is smaller than the sum of its proper divisors (79475510388).

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

41040401100 is a wasteful number, since it uses less digits than its factorization.

41040401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041895 (or 2041888 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 41040401100 its reverse (110404014), we get a palindrome (41150805114).

The spelling of 41040401100 in words is "forty-one billion, forty million, four hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3350 4020 5025 6700 10050 20100 2041811 4083622 6125433 8167244 10209055 12250866 20418110 24501732 30627165 40836220 51045275 61254330 102090550 122508660 136801337 153135825 204181100 273602674 306271650 410404011 547205348 612543300 684006685 820808022 1368013370 1641616044 2052020055 2736026740 3420033425 4104040110 6840066850 8208080220 10260100275 13680133700 20520200550 41040401100