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3895309440000 = 210375411223
BaseRepresentation
bin111000101011110010100…
…010010001010000000000
3111210101110210221020000000
4320223302202101100000
51002310043204040000
612141251440000000
7551266253634426
oct70536242212000
914711423836000
103895309440000
111271a9a6a0400
1252ab2b300000
132234315b1c04
14d676936b116
156b4d5090000
hex38af2891400

3895309440000 has 2640 divisors, whose sum is σ = 16738078600320. Its totient is φ = 903260160000.

The previous prime is 3895309439993. The next prime is 3895309440007. The reversal of 3895309440000 is 449035983.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3895309439993) and next prime (3895309440007).

It is a tau number, because it is divible by the number of its divisors (2640).

It is a super-2 number, since 2×38953094400002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3895309440007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 169361279989 + ... + 169361280011.

It is an arithmetic number, because the mean of its divisors is an integer number (6340181288).

Almost surely, 23895309440000 is an apocalyptic number.

3895309440000 is a gapful number since it is divisible by the number (30) 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 3895309440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8369039300160).

3895309440000 is an abundant number, since it is smaller than the sum of its proper divisors (12842769160320).

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

3895309440000 is an frugal number, since it uses more digits than its factorization.

3895309440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 3895309440000 in words is "three trillion, eight hundred ninety-five billion, three hundred nine million, four hundred forty thousand".