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1040040417 = 31373401911
BaseRepresentation
bin111101111111011…
…100000111100001
32200111000112020110
4331333130013201
54112222243132
6251111401533
734526124543
oct7577340741
92614015213
101040040417
11494091839
122503832a9
13137619240
149c1b1693
15614901cc
hex3dfdc1e1

1040040417 has 32 divisors (see below), whose sum is σ = 1519289856. Its totient is φ = 628992000.

The previous prime is 1040040401. The next prime is 1040040457. The reversal of 1040040417 is 7140400401.

It is not a de Polignac number, because 1040040417 - 24 = 1040040401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1040040393 and 1040040402.

It is not an unprimeable number, because it can be changed into a prime (1040040457) 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 31 ways as a sum of consecutive naturals, for example, 1141192 + ... + 1142102.

It is an arithmetic number, because the mean of its divisors is an integer number (47477808).

Almost surely, 21040040417 is an apocalyptic number.

It is an amenable number.

1040040417 is a deficient number, since it is larger than the sum of its proper divisors (479249439).

1040040417 is a wasteful number, since it uses less digits than its factorization.

1040040417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 1040040417 is about 32249.6576260896. The cubic root of 1040040417 is about 1013.1725282859.

Adding to 1040040417 its reverse (7140400401), we get a palindrome (8180440818).

The spelling of 1040040417 in words is "one billion, forty million, forty thousand, four hundred seventeen".

Divisors: 1 3 13 39 73 219 401 911 949 1203 2733 2847 5213 11843 15639 29273 35529 66503 87819 199509 365311 380549 864539 1095933 1141647 2593617 4749043 14247129 26667703 80003109 346680139 1040040417