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41204314000 = 245320602157
BaseRepresentation
bin100110010111111101…
…111110111110010000
310221100121012000201201
4212113331332332100
51133341301022000
630532355240544
72656036614223
oct462775767620
9127317160651
1041204314000
1116524840a73
127b9b2a9154
133b687274b5
141dcc5015ba
1511125c596a
hex997f7ef90

41204314000 has 40 divisors (see below), whose sum is σ = 99632036088. Its totient is φ = 16481724800.

The previous prime is 41204313991. The next prime is 41204314001. The reversal of 41204314000 is 41340214.

It can be written as a sum of positive squares in 4 ways, for example, as 1668559104 + 39535754896 = 40848^2 + 198836^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (41204314001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10299079 + ... + 10303078.

Almost surely, 241204314000 is an apocalyptic number.

41204314000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41204314000 is an abundant number, since it is smaller than the sum of its proper divisors (58427722088).

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

41204314000 is a wasteful number, since it uses less digits than its factorization.

41204314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20602180 (or 20602164 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 41204314000 its reverse (41340214), we get a palindrome (41245654214).

The spelling of 41204314000 in words is "forty-one billion, two hundred four million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 20602157 41204314 82408628 103010785 164817256 206021570 329634512 412043140 515053925 824086280 1030107850 1648172560 2060215700 2575269625 4120431400 5150539250 8240862800 10301078500 20602157000 41204314000