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41324042404000 = 255310331010601
BaseRepresentation
bin10010110010101100000001…
…10111100100000010100000
312102022112120120022010121001
421121112000313210002200
520404023114323412000
6223520000352041344
711463364202555416
oct1131260067440240
9172275516263531
1041324042404000
1112192478692234
124774a62233254
131a09ac06b7055
14a2c146b7b2b6
154b9dee70c46a
hex259580de40a0

41324042404000 has 48 divisors (see below), whose sum is σ = 101533172196456. Its totient is φ = 16529616960000.

The previous prime is 41324042403983. The next prime is 41324042404027. The reversal of 41324042404000 is 40424042314.

It can be written as a sum of positive squares in 4 ways, for example, as 1398173813136 + 39925868590864 = 1182444^2 + 6318692^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41324042404000.

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 7 ways as a sum of consecutive naturals, for example, 5165501301 + ... + 5165509300.

Almost surely, 241324042404000 is an apocalyptic number.

41324042404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41324042404000 is an abundant number, since it is smaller than the sum of its proper divisors (60209129792456).

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

41324042404000 is a wasteful number, since it uses less digits than its factorization.

41324042404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331010626 (or 10331010608 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 41324042404000 its reverse (40424042314), we get a palindrome (41364466446314).

The spelling of 41324042404000 in words is "forty-one trillion, three hundred twenty-four billion, forty-two million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 10331010601 20662021202 41324042404 51655053005 82648084808 103310106010 165296169616 206620212020 258275265025 330592339232 413240424040 516550530050 826480848080 1033101060100 1291376325125 1652961696160 2066202120200 2582752650250 4132404240400 5165505300500 8264808480800 10331010601000 20662021202000 41324042404000