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404133011321431 = 7199569509871743
BaseRepresentation
bin101101111100011101000110…
…0100101001111001001010111
31221222220201221102020001010011
41123320322030211033021113
5410432303401344241211
63551304050431141051
7151060434522340540
oct13370721445171127
91858821842201104
10404133011321431
1110785093618a797
12393ab827974787
131446676c0676c2
1471b21dbd654c7
1531ac6614ca921
hex16f8e8c94f257

404133011321431 has 16 divisors (see below), whose sum is σ = 465003030528000. Its totient is φ = 344053293553728.

The previous prime is 404133011321411. The next prime is 404133011321561. The reversal of 404133011321431 is 134123110331404.

It is a cyclic number.

It is not a de Polignac number, because 404133011321431 - 29 = 404133011320919 is a prime.

It is a super-2 number, since 2×4041330113214312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 404133011321393 and 404133011321402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404133011321411) 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, 254143255 + ... + 255728488.

It is an arithmetic number, because the mean of its divisors is an integer number (29062689408000).

Almost surely, 2404133011321431 is an apocalyptic number.

404133011321431 is a deficient number, since it is larger than the sum of its proper divisors (60870019206569).

404133011321431 is a wasteful number, since it uses less digits than its factorization.

404133011321431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509872518.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 404133011321431 its reverse (134123110331404), we get a palindrome (538256121652835).

The spelling of 404133011321431 in words is "four hundred four trillion, one hundred thirty-three billion, eleven million, three hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 7 199 569 1393 3983 113231 792617 509871743 3569102201 101464476857 290117021767 710251337999 2030819152369 57733287331633 404133011321431