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400420202131422 = 23211231311674019159
BaseRepresentation
bin101101100001011100001011…
…1111010001010111111011110
31221111202210112100201002120100
41123002320113322022333132
5404440441033221201142
63535342300145001530
7150225255614052564
oct13302702772127736
91844683470632510
10400420202131422
1110664a288196380
1238ab014b6232a6
13142576033b61c5
1470c46268aba34
153145cad3bdb4c
hex16c2e17e8afde

400420202131422 has 192 divisors, whose sum is σ = 1001095716741120. Its totient is φ = 114488127124800.

The previous prime is 400420202131421. The next prime is 400420202131459. The reversal of 400420202131422 is 224131202024004.

It is a happy number.

400420202131422 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 2 + 0 + 20 + 213 + 1 + 422 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400420202131421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97618279 + ... + 101637437.

It is an arithmetic number, because the mean of its divisors is an integer number (5214040191360).

Almost surely, 2400420202131422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400420202131422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500547858370560).

400420202131422 is an abundant number, since it is smaller than the sum of its proper divisors (600675514609698).

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

400420202131422 is a wasteful number, since it uses less digits than its factorization.

400420202131422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019499 (or 4019496 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 400420202131422 its reverse (224131202024004), we get a palindrome (624551404155426).

The spelling of 400420202131422 in words is "four hundred trillion, four hundred twenty billion, two hundred two million, one hundred thirty-one thousand, four hundred twenty-two".