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4022303806080 = 27375717193141
BaseRepresentation
bin111010100010000011111…
…111010101001010000000
3112020112021021020110000000
4322202003333111022000
51011400134233243310
612315453150000000
7563413303142610
oct72420377251200
915215237213000
104022303806080
11131093870125a
1254b6714a6000
132323bc87ba21
14dc9755a4a40
156e9690ea4c0
hex3a883fd5280

4022303806080 has 4096 divisors, whose sum is σ = 19424821248000. Its totient is φ = 773967052800.

The previous prime is 4022303806051. The next prime is 4022303806091. The reversal of 4022303806080 is 806083032204.

4022303806080 is a `hidden beast` number, since 40 + 2 + 2 + 3 + 0 + 3 + 8 + 0 + 608 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 98104970860 + ... + 98104970900.

It is an arithmetic number, because the mean of its divisors is an integer number (4742388000).

Almost surely, 24022303806080 is an apocalyptic number.

4022303806080 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 4022303806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9712410624000).

4022303806080 is an abundant number, since it is smaller than the sum of its proper divisors (15402517441920).

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

4022303806080 is a wasteful number, since it uses less digits than its factorization.

4022303806080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 4022303806080 its reverse (806083032204), we get a palindrome (4828386838284).

The spelling of 4022303806080 in words is "four trillion, twenty-two billion, three hundred three million, eight hundred six thousand, eighty".