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13441559040 = 293357132137
BaseRepresentation
bin11001000010010110…
…11110101000000000
31021200202122221121000
430201023132220000
5210012014342130
610101443132000
7654044236530
oct144113365000
937622587530
1013441559040
115778456288
122731674000
131362a04640
1491726b4c0
1553a0c4260
hex3212dea00

13441559040 has 640 divisors, whose sum is σ = 58791237120. Its totient is φ = 2834694144.

The previous prime is 13441559039. The next prime is 13441559041. The reversal of 13441559040 is 4095514431.

It is a happy number.

13441559040 is a `hidden beast` number, since 13 + 4 + 4 + 15 + 590 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (13441559039) and next prime (13441559041).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 13441558986 and 13441559004.

It is not an unprimeable number, because it can be changed into a prime (13441559041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6288852 + ... + 6290988.

It is an arithmetic number, because the mean of its divisors is an integer number (91861308).

Almost surely, 213441559040 is an apocalyptic number.

13441559040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13441559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29395618560).

13441559040 is an abundant number, since it is smaller than the sum of its proper divisors (45349678080).

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

13441559040 is a wasteful number, since it uses less digits than its factorization.

13441559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13441559040 in words is "thirteen billion, four hundred forty-one million, five hundred fifty-nine thousand, forty".