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404022112040 = 23573138363737
BaseRepresentation
bin1011110000100011001…
…10000010111100101000
31102121211222212211110102
411320101212002330220
523104414130041130
6505334420004532
741122021201121
oct5702146027450
91377758784412
10404022112040
11146387a49738
1266376230748
132c139a025b1
14157aa431048
15a799a8a645
hex5e11982f28

404022112040 has 32 divisors (see below), whose sum is σ = 921502495080. Its totient is φ = 159395023872.

The previous prime is 404022112037. The next prime is 404022112049. The reversal of 404022112040 is 40211220404.

It can be written as a sum of positive squares in 4 ways, for example, as 400159986724 + 3862125316 = 632582^2 + 62146^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (404022112049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69178949 + ... + 69184788.

Almost surely, 2404022112040 is an apocalyptic number.

404022112040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404022112040 is an abundant number, since it is smaller than the sum of its proper divisors (517480383040).

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

404022112040 is a wasteful number, since it uses less digits than its factorization.

404022112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138363821 (or 138363817 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 404022112040 its reverse (40211220404), we get a palindrome (444233332444).

The spelling of 404022112040 in words is "four hundred four billion, twenty-two million, one hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 138363737 276727474 553454948 691818685 1106909896 1383637370 2767274740 5534549480 10100552801 20201105602 40402211204 50502764005 80804422408 101005528010 202011056020 404022112040