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20234344343202 = 2321110125114092861
BaseRepresentation
bin1001001100111001011001…
…11010000010011010100010
32122122101101020200121001100
410212130230322002122202
510123004414122440302
6111011310210415230
74155611626045233
oct446345472023242
978571336617040
1020234344343202
1164a1378967650
122329674b91516
13b3a123a41b82
144dd4c173508a
1525151d526d1c
hex12672ce826a2

20234344343202 has 192 divisors, whose sum is σ = 48543971898240. Its totient is φ = 6040320000000.

The previous prime is 20234344343173. The next prime is 20234344343233.

20234344343202 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 4 + 3 + 443 + 4 + 3 + 202 = 666.

20234344343202 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×202343443432022 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7072471252 + ... + 7072474112.

It is an arithmetic number, because the mean of its divisors is an integer number (252833186970).

Almost surely, 220234344343202 is an apocalyptic number.

20234344343202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20234344343202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24271985949120).

20234344343202 is an abundant number, since it is smaller than the sum of its proper divisors (28309627555038).

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

20234344343202 is a wasteful number, since it uses less digits than its factorization.

20234344343202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 2023434 and 4343202, that added together give a palindrome (6366636).

The spelling of 20234344343202 in words is "twenty trillion, two hundred thirty-four billion, three hundred forty-four million, three hundred forty-three thousand, two hundred two".