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400422242430 = 2325731151135781
BaseRepresentation
bin1011101001110110000…
…01101000100001111110
31102021120010002111201100
411310323001220201332
523030031043224210
6503541302153530
740633556621340
oct5647301504176
91367503074640
10400422242430
111448aaa0a391
12657307228a6
132b9b4c69932
14155482b7290
15a638a025c0
hex5d3b06887e

400422242430 has 192 divisors, whose sum is σ = 1236350509056. Its totient is φ = 87985440000.

The previous prime is 400422242377. The next prime is 400422242431. The reversal of 400422242430 is 34242224004.

400422242430 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 2 + 224 + 2 + 430 = 666.

400422242430 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 400422242394 and 400422242403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400422242431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2881140 + ... + 3016920.

It is an arithmetic number, because the mean of its divisors is an integer number (6439325568).

Almost surely, 2400422242430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400422242430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618175254528).

400422242430 is an abundant number, since it is smaller than the sum of its proper divisors (835928266626).

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

400422242430 is a wasteful number, since it uses less digits than its factorization.

400422242430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135983 (or 135980 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 400422242430 its reverse (34242224004), we get a palindrome (434664466434).

The spelling of 400422242430 in words is "four hundred billion, four hundred twenty-two million, two hundred forty-two thousand, four hundred thirty".