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22141561060080 = 24345711172990011
BaseRepresentation
bin1010000100011001110111…
…11000011011101011110000
32220101201020110102022020000
411002030323320123223300
510400231404112410310
6115031405343550000
74443450344464560
oct502147370335360
986351213368200
1022141561060080
117067201a97560
122597223bbb300
13c47c2b95a987
1456792b7b4da0
15285e45b414c0
hex14233be1baf0

22141561060080 has 1600 divisors, whose sum is σ = 105017994132480. Its totient is φ = 4180842086400.

The previous prime is 22141561060061. The next prime is 22141561060121. The reversal of 22141561060080 is 8006016514122.

It is a happy number.

22141561060080 is a `hidden beast` number, since 2 + 2 + 1 + 41 + 5 + 6 + 1 + 0 + 600 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 245942275 + ... + 246032285.

Almost surely, 222141561060080 is an apocalyptic number.

22141561060080 is a gapful number since it is divisible by the number (20) 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 22141561060080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52508997066240).

22141561060080 is an abundant number, since it is smaller than the sum of its proper divisors (82876433072400).

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

22141561060080 is a wasteful number, since it uses less digits than its factorization.

22141561060080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90100 (or 90085 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 22141561060080 in words is "twenty-two trillion, one hundred forty-one billion, five hundred sixty-one million, sixty thousand, eighty".