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400404404424 = 233241119358027
BaseRepresentation
bin1011101001110011111…
…01100101100011001000
31102021111212112020120110
411310321331211203020
523030012011420144
6503535423554320
740633252165443
oct5647175454310
91367455466513
10400404404424
111448a0936432
126572675b9a0
132b9b13625bb
1415545b9265a
15a63717c0b9
hex5d39f658c8

400404404424 has 64 divisors (see below), whose sum is σ = 1006024472640. Its totient is φ = 132800624640.

The previous prime is 400404404419. The next prime is 400404404429. The reversal of 400404404424 is 424404404004.

It is an interprime number because it is at equal distance from previous prime (400404404419) and next prime (400404404429).

It is a junction number, because it is equal to n+sod(n) for n = 400404404391 and 400404404400.

It is not an unprimeable number, because it can be changed into a prime (400404404429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6871299 + ... + 6929325.

It is an arithmetic number, because the mean of its divisors is an integer number (15719132385).

Almost surely, 2400404404424 is an apocalyptic number.

It is an amenable number.

400404404424 is an abundant number, since it is smaller than the sum of its proper divisors (605620068216).

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

400404404424 is a wasteful number, since it uses less digits than its factorization.

400404404424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59470 (or 59466 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 400404404424 its reverse (424404404004), we get a palindrome (824808808428).

The spelling of 400404404424 in words is "four hundred billion, four hundred four million, four hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 241 482 723 964 1193 1446 1928 2386 2892 3579 4772 5784 7158 9544 14316 28632 58027 116054 174081 232108 287513 348162 464216 575026 696324 862539 1150052 1392648 1725078 2300104 3450156 6900312 13984507 27969014 41953521 55938028 69226211 83907042 111876056 138452422 167814084 207678633 276904844 335628168 415357266 553809688 830714532 1661429064 16683516851 33367033702 50050550553 66734067404 100101101106 133468134808 200202202212 400404404424