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23440442440212 = 2232729107181165617
BaseRepresentation
bin1010101010001101001110…
…01111101011101000010100
310001222212212201212222110200
411111012213033223220110
511033022011231041322
6121504220211420500
74636342005162660
oct525064717535024
9101885781788420
1023440442440212
117518043737016
122766ab88b4730
131010569085265
145b07485758a0
152a9b167538ac
hex1551a73eba14

23440442440212 has 288 divisors, whose sum is σ = 71097660990720. Its totient is φ = 6370465812480.

The previous prime is 23440442440201. The next prime is 23440442440231. The reversal of 23440442440212 is 21204424404432.

23440442440212 is a `hidden beast` number, since 2 + 3 + 4 + 404 + 4 + 244 + 0 + 2 + 1 + 2 = 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 95 ways as a sum of consecutive naturals, for example, 141451228 + ... + 141616844.

It is an arithmetic number, because the mean of its divisors is an integer number (246866878440).

Almost surely, 223440442440212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23440442440212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35548830495360).

23440442440212 is an abundant number, since it is smaller than the sum of its proper divisors (47657218550508).

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

23440442440212 is a wasteful number, since it uses less digits than its factorization.

23440442440212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165951 (or 165946 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 23440442440212 its reverse (21204424404432), we get a palindrome (44644866844644).

The spelling of 23440442440212 in words is "twenty-three trillion, four hundred forty billion, four hundred forty-two million, four hundred forty thousand, two hundred twelve".