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4136442310000 = 2454721113219239
BaseRepresentation
bin111100001100010111001…
…011001010110101110000
3112122102212202222012111001
4330030113023022311300
51020232413212410000
612444131054131344
7604563616336300
oct74142713126560
915572782865431
104136442310000
111355289935640
125698061b0b54
132400ac5a2700
141042c2273600
15728e96c646a
hex3c3172cad70

4136442310000 has 1800 divisors, whose sum is σ = 14546588601600. Its totient is φ = 1122750720000.

The previous prime is 4136442309991. The next prime is 4136442310001. The reversal of 4136442310000 is 132446314.

4136442310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41364423100002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4136442310001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 17307289881 + ... + 17307290119.

It is an arithmetic number, because the mean of its divisors is an integer number (8081438112).

Almost surely, 24136442310000 is an apocalyptic number.

4136442310000 is a gapful number since it is divisible by the number (40) 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 4136442310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7273294300800).

4136442310000 is an abundant number, since it is smaller than the sum of its proper divisors (10410146291600).

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

4136442310000 is a wasteful number, since it uses less digits than its factorization.

4136442310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4136442310000 its reverse (132446314), we get a palindrome (4136574756314).

The spelling of 4136442310000 in words is "four trillion, one hundred thirty-six billion, four hundred forty-two million, three hundred ten thousand".