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400111321401 = 321121111914509
BaseRepresentation
bin1011101001010000111…
…11100100000100111001
31102020202110001002020200
411310220133210010321
523023411444241101
6503450354112413
740623063055131
oct5645037440471
91366673032220
10400111321401
11144760456860
126566457b709
132b965716cac
1415518c9dac1
15a61b587986
hex5d287e4139

400111321401 has 24 divisors (see below), whose sum is σ = 630777438720. Its totient is φ = 242376712800.

The previous prime is 400111321391. The next prime is 400111321417. The reversal of 400111321401 is 104123111004.

It is not a de Polignac number, because 400111321401 - 27 = 400111321273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400111321471) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 748266 + ... + 1166243.

It is an arithmetic number, because the mean of its divisors is an integer number (26282393280).

Almost surely, 2400111321401 is an apocalyptic number.

It is an amenable number.

400111321401 is a deficient number, since it is larger than the sum of its proper divisors (230666117319).

400111321401 is a wasteful number, since it uses less digits than its factorization.

400111321401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916637 (or 1916634 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 400111321401 its reverse (104123111004), we get a palindrome (504234432405).

The spelling of 400111321401 in words is "four hundred billion, one hundred eleven million, three hundred twenty-one thousand, four hundred one".

Divisors: 1 3 9 11 33 99 2111 6333 18999 23221 69663 208989 1914509 5743527 17230581 21059599 63178797 189536391 4041528499 12124585497 36373756491 44456813489 133370440467 400111321401