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402224122140 = 2235375312772677
BaseRepresentation
bin1011101101001100110…
…11010000100100011100
31102110012200122110222220
411312212123100210130
523042223333402030
6504440150505340
741026326425061
oct5664633204434
91373180573886
10402224122140
11145645038275
1265b54065250
132bc11367449
141567971cc68
15a6e1ccca10
hex5da66d091c

402224122140 has 192 divisors, whose sum is σ = 1179853444224. Its totient is φ = 102273380352.

The previous prime is 402224122129. The next prime is 402224122187. The reversal of 402224122140 is 41221422204.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 402224122140.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 150250482 + ... + 150253158.

It is an arithmetic number, because the mean of its divisors is an integer number (6145070022).

Almost surely, 2402224122140 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 402224122140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589926722112).

402224122140 is an abundant number, since it is smaller than the sum of its proper divisors (777629322084).

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

402224122140 is a wasteful number, since it uses less digits than its factorization.

402224122140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 402224122140 its reverse (41221422204), we get a palindrome (443445544344).

The spelling of 402224122140 in words is "four hundred two billion, two hundred twenty-four million, one hundred twenty-two thousand, one hundred forty".