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404421304040 = 235134611687057
BaseRepresentation
bin1011110001010010110…
…00110101111011101000
31102122212211000212221022
411320221120311323220
523111223323212130
6505442200032012
741134636236155
oct5705130657350
91378784025838
10404421304040
11146572312586
1266467a62608
132c1a1620190
141580746522c
15a7beb3e7e5
hex5e29635ee8

404421304040 has 64 divisors (see below), whose sum is σ = 982070202960. Its totient is φ = 149000785920.

The previous prime is 404421304039. The next prime is 404421304207. The reversal of 404421304040 is 40403124404.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2574344644 + 401846959396 = 50738^2 + 633914^2 .

It is a super-2 number, since 2×4044213040402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603809 + ... + 1083248.

Almost surely, 2404421304040 is an apocalyptic number.

404421304040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404421304040 is an abundant number, since it is smaller than the sum of its proper divisors (577648898920).

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

404421304040 is a wasteful number, since it uses less digits than its factorization.

404421304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687542 (or 1687538 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 404421304040 its reverse (40403124404), we get a palindrome (444824428444).

The spelling of 404421304040 in words is "four hundred four billion, four hundred twenty-one million, three hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 461 520 922 1844 2305 3688 4610 5993 9220 11986 18440 23972 29965 47944 59930 119860 239720 1687057 3374114 6748228 8435285 13496456 16870570 21931741 33741140 43863482 67482280 87726964 109658705 175453928 219317410 438634820 777733277 877269640 1555466554 3110933108 3888666385 6221866216 7777332770 10110532601 15554665540 20221065202 31109331080 40442130404 50552663005 80884260808 101105326010 202210652020 404421304040